%------------------------------------------------------------------------------
% File     : Z3---4.8.9.0
% Problem  : SYN033-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp
% Command  : z3_tptp -proof -model -t:%d -file:%s

% Computer : n007.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 29 23:53:13 EDT 2022

% Result   : Unsatisfiable 64.63s 41.58s
% Output   : Proof 64.84s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SYN033-1 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.13  % Command  : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.34  % Computer : n007.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Mon Sep  5 00:51:50 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.35  Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.35  Usage: tptp [options] [-file:]file
% 0.13/0.35    -h, -?       prints this message.
% 0.13/0.35    -smt2        print SMT-LIB2 benchmark.
% 0.13/0.35    -m, -model   generate model.
% 0.13/0.35    -p, -proof   generate proof.
% 0.13/0.35    -c, -core    generate unsat core of named formulas.
% 0.13/0.35    -st, -statistics display statistics.
% 0.13/0.35    -t:timeout   set timeout (in second).
% 0.13/0.35    -smt2status  display status in smt2 format instead of SZS.
% 0.13/0.35    -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.35    -<param>:<value> configuration parameter and value.
% 0.13/0.35    -o:<output-file> file to place output in.
% 64.63/41.58  % SZS status Unsatisfiable
% 64.63/41.58  % SZS output start Proof
% 64.63/41.58  tff(p_type, type, (
% 64.63/41.58     p: ( $i * $i * $i ) > $o)).
% 64.63/41.58  tff(g_type, type, (
% 64.63/41.58     g: ( $i * $i ) > $i)).
% 64.63/41.58  tff(h_type, type, (
% 64.63/41.58     h: ( $i * $i ) > $i)).
% 64.63/41.58  tff(elem_0_type, type, (
% 64.63/41.58     elem_0: $i)).
% 64.63/41.58  tff(k_type, type, (
% 64.63/41.58     k: $i > $i)).
% 64.63/41.58  tff(1,plain,
% 64.63/41.58      (^[B: $i, A: $i] : refl(p(g(A, B), A, B) <=> p(g(A, B), A, B))),
% 64.63/41.58      inference(bind,[status(th)],[])).
% 64.63/41.58  tff(2,plain,
% 64.63/41.58      (![B: $i, A: $i] : p(g(A, B), A, B) <=> ![B: $i, A: $i] : p(g(A, B), A, B)),
% 64.63/41.58      inference(quant_intro,[status(thm)],[1])).
% 64.63/41.58  tff(3,plain,
% 64.63/41.58      (![B: $i, A: $i] : p(g(A, B), A, B) <=> ![B: $i, A: $i] : p(g(A, B), A, B)),
% 64.63/41.58      inference(rewrite,[status(thm)],[])).
% 64.63/41.58  tff(4,axiom,(![B: $i, A: $i] : p(g(A, B), A, B)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause1')).
% 64.63/41.58  tff(5,plain,
% 64.63/41.58      (![B: $i, A: $i] : p(g(A, B), A, B)),
% 64.63/41.58      inference(modus_ponens,[status(thm)],[4, 3])).
% 64.63/41.58  tff(6,plain,(
% 64.63/41.58      ![B: $i, A: $i] : p(g(A, B), A, B)),
% 64.63/41.58      inference(skolemize,[status(sab)],[5])).
% 64.63/41.58  tff(7,plain,
% 64.63/41.58      (![B: $i, A: $i] : p(g(A, B), A, B)),
% 64.63/41.58      inference(modus_ponens,[status(thm)],[6, 2])).
% 64.63/41.58  tff(8,plain,
% 64.63/41.58      ((~![B: $i, A: $i] : p(g(A, B), A, B)) | p(g(g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0)))), g(h(g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0)))), g(g(elem!0, g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0)))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0)))))), g(h(g(elem!0, elem!0), k(h(elem!0, elem!0))), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), g(h(h(elem!0, elem!0), g(elem!0, elem!0)), h(h(elem!0, elem!0), h(elem!0, elem!0))))))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0)))), g(h(g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0)))), g(g(elem!0, g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0)))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0)))))), g(h(g(elem!0, elem!0), k(h(elem!0, elem!0))), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), g(h(h(elem!0, elem!0), g(elem!0, elem!0)), h(h(elem!0, elem!0), h(elem!0, elem!0)))))))),
% 64.63/41.58      inference(quant_inst,[status(thm)],[])).
% 64.63/41.58  tff(9,plain,
% 64.63/41.58      (p(g(g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0)))), g(h(g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0)))), g(g(elem!0, g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0)))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0)))))), g(h(g(elem!0, elem!0), k(h(elem!0, elem!0))), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), g(h(h(elem!0, elem!0), g(elem!0, elem!0)), h(h(elem!0, elem!0), h(elem!0, elem!0))))))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0)))), g(h(g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0)))), g(g(elem!0, g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0)))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0)))))), g(h(g(elem!0, elem!0), k(h(elem!0, elem!0))), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), g(h(h(elem!0, elem!0), g(elem!0, elem!0)), h(h(elem!0, elem!0), h(elem!0, elem!0)))))))),
% 64.63/41.58      inference(unit_resolution,[status(thm)],[8, 7])).
% 64.63/41.58  tff(10,plain,
% 64.63/41.58      (^[B: $i, A: $i] : refl(p(A, h(A, B), B) <=> p(A, h(A, B), B))),
% 64.63/41.58      inference(bind,[status(th)],[])).
% 64.63/41.58  tff(11,plain,
% 64.63/41.58      (![B: $i, A: $i] : p(A, h(A, B), B) <=> ![B: $i, A: $i] : p(A, h(A, B), B)),
% 64.63/41.58      inference(quant_intro,[status(thm)],[10])).
% 64.63/41.58  tff(12,plain,
% 64.63/41.58      (![B: $i, A: $i] : p(A, h(A, B), B) <=> ![B: $i, A: $i] : p(A, h(A, B), B)),
% 64.63/41.58      inference(rewrite,[status(thm)],[])).
% 64.63/41.58  tff(13,axiom,(![B: $i, A: $i] : p(A, h(A, B), B)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause2')).
% 64.63/41.58  tff(14,plain,
% 64.63/41.58      (![B: $i, A: $i] : p(A, h(A, B), B)),
% 64.63/41.58      inference(modus_ponens,[status(thm)],[13, 12])).
% 64.63/41.58  tff(15,plain,(
% 64.63/41.58      ![B: $i, A: $i] : p(A, h(A, B), B)),
% 64.63/41.58      inference(skolemize,[status(sab)],[14])).
% 64.63/41.58  tff(16,plain,
% 64.63/41.58      (![B: $i, A: $i] : p(A, h(A, B), B)),
% 64.63/41.58      inference(modus_ponens,[status(thm)],[15, 11])).
% 64.63/41.58  tff(17,plain,
% 64.63/41.58      ((~![B: $i, A: $i] : p(A, h(A, B), B)) | p(g(g(h(g(h(elem!0, elem!0), g(elem!0, elem!0)), g(h(h(elem!0, elem!0), g(elem!0, elem!0)), h(h(elem!0, elem!0), h(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0))))), h(g(g(h(g(h(elem!0, elem!0), g(elem!0, elem!0)), g(h(h(elem!0, elem!0), g(elem!0, elem!0)), h(h(elem!0, elem!0), h(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0))))), g(g(h(g(h(elem!0, elem!0), g(elem!0, elem!0)), g(h(h(elem!0, elem!0), g(elem!0, elem!0)), h(h(elem!0, elem!0), h(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0)))))), g(g(h(g(h(elem!0, elem!0), g(elem!0, elem!0)), g(h(h(elem!0, elem!0), g(elem!0, elem!0)), h(h(elem!0, elem!0), h(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0))))))),
% 64.63/41.58      inference(quant_inst,[status(thm)],[])).
% 64.63/41.58  tff(18,plain,
% 64.63/41.58      (p(g(g(h(g(h(elem!0, elem!0), g(elem!0, elem!0)), g(h(h(elem!0, elem!0), g(elem!0, elem!0)), h(h(elem!0, elem!0), h(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0))))), h(g(g(h(g(h(elem!0, elem!0), g(elem!0, elem!0)), g(h(h(elem!0, elem!0), g(elem!0, elem!0)), h(h(elem!0, elem!0), h(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0))))), g(g(h(g(h(elem!0, elem!0), g(elem!0, elem!0)), g(h(h(elem!0, elem!0), g(elem!0, elem!0)), h(h(elem!0, elem!0), h(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0)))))), g(g(h(g(h(elem!0, elem!0), g(elem!0, elem!0)), g(h(h(elem!0, elem!0), g(elem!0, elem!0)), h(h(elem!0, elem!0), h(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0))))))),
% 64.63/41.59      inference(unit_resolution,[status(thm)],[17, 16])).
% 64.63/41.59  tff(19,plain,
% 64.63/41.59      ((~![B: $i, A: $i] : p(g(A, B), A, B)) | p(g(g(g(h(g(h(elem!0, elem!0), g(elem!0, elem!0)), g(h(h(elem!0, elem!0), g(elem!0, elem!0)), h(h(elem!0, elem!0), h(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0))))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0))))), g(g(h(g(h(elem!0, elem!0), g(elem!0, elem!0)), g(h(h(elem!0, elem!0), g(elem!0, elem!0)), h(h(elem!0, elem!0), h(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0))))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0)))))),
% 64.63/41.59      inference(quant_inst,[status(thm)],[])).
% 64.63/41.59  tff(20,plain,
% 64.63/41.59      (p(g(g(g(h(g(h(elem!0, elem!0), g(elem!0, elem!0)), g(h(h(elem!0, elem!0), g(elem!0, elem!0)), h(h(elem!0, elem!0), h(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0))))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0))))), g(g(h(g(h(elem!0, elem!0), g(elem!0, elem!0)), g(h(h(elem!0, elem!0), g(elem!0, elem!0)), h(h(elem!0, elem!0), h(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0))))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0)))))),
% 64.63/41.59      inference(unit_resolution,[status(thm)],[19, 7])).
% 64.63/41.59  tff(21,plain,
% 64.63/41.59      (^[B: $i, D: $i, A: $i, E: $i, F: $i, C: $i] : refl((p(F, E, C) | (~p(A, D, F)) | (~p(D, E, B)) | (~p(A, B, C))) <=> (p(F, E, C) | (~p(A, D, F)) | (~p(D, E, B)) | (~p(A, B, C))))),
% 64.63/41.59      inference(bind,[status(th)],[])).
% 64.63/41.59  tff(22,plain,
% 64.63/41.59      (![B: $i, D: $i, A: $i, E: $i, F: $i, C: $i] : (p(F, E, C) | (~p(A, D, F)) | (~p(D, E, B)) | (~p(A, B, C))) <=> ![B: $i, D: $i, A: $i, E: $i, F: $i, C: $i] : (p(F, E, C) | (~p(A, D, F)) | (~p(D, E, B)) | (~p(A, B, C)))),
% 64.63/41.59      inference(quant_intro,[status(thm)],[21])).
% 64.63/41.59  tff(23,plain,
% 64.63/41.59      (![B: $i, D: $i, A: $i, E: $i, F: $i, C: $i] : (p(F, E, C) | (~p(A, D, F)) | (~p(D, E, B)) | (~p(A, B, C))) <=> ![B: $i, D: $i, A: $i, E: $i, F: $i, C: $i] : (p(F, E, C) | (~p(A, D, F)) | (~p(D, E, B)) | (~p(A, B, C)))),
% 64.63/41.59      inference(rewrite,[status(thm)],[])).
% 64.63/41.59  tff(24,plain,
% 64.63/41.59      (^[B: $i, D: $i, A: $i, E: $i, F: $i, C: $i] : trans(monotonicity(rewrite((((~p(A, B, C)) | (~p(D, E, B))) | (~p(A, D, F))) <=> ((~p(A, D, F)) | (~p(D, E, B)) | (~p(A, B, C)))), (((((~p(A, B, C)) | (~p(D, E, B))) | (~p(A, D, F))) | p(F, E, C)) <=> (((~p(A, D, F)) | (~p(D, E, B)) | (~p(A, B, C))) | p(F, E, C)))), rewrite((((~p(A, D, F)) | (~p(D, E, B)) | (~p(A, B, C))) | p(F, E, C)) <=> (p(F, E, C) | (~p(A, D, F)) | (~p(D, E, B)) | (~p(A, B, C)))), (((((~p(A, B, C)) | (~p(D, E, B))) | (~p(A, D, F))) | p(F, E, C)) <=> (p(F, E, C) | (~p(A, D, F)) | (~p(D, E, B)) | (~p(A, B, C)))))),
% 64.63/41.59      inference(bind,[status(th)],[])).
% 64.63/41.59  tff(25,plain,
% 64.63/41.59      (![B: $i, D: $i, A: $i, E: $i, F: $i, C: $i] : ((((~p(A, B, C)) | (~p(D, E, B))) | (~p(A, D, F))) | p(F, E, C)) <=> ![B: $i, D: $i, A: $i, E: $i, F: $i, C: $i] : (p(F, E, C) | (~p(A, D, F)) | (~p(D, E, B)) | (~p(A, B, C)))),
% 64.63/41.59      inference(quant_intro,[status(thm)],[24])).
% 64.63/41.59  tff(26,axiom,(![B: $i, D: $i, A: $i, E: $i, F: $i, C: $i] : ((((~p(A, B, C)) | (~p(D, E, B))) | (~p(A, D, F))) | p(F, E, C))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause3')).
% 64.63/41.59  tff(27,plain,
% 64.63/41.59      (![B: $i, D: $i, A: $i, E: $i, F: $i, C: $i] : (p(F, E, C) | (~p(A, D, F)) | (~p(D, E, B)) | (~p(A, B, C)))),
% 64.63/41.59      inference(modus_ponens,[status(thm)],[26, 25])).
% 64.63/41.59  tff(28,plain,
% 64.63/41.59      (![B: $i, D: $i, A: $i, E: $i, F: $i, C: $i] : (p(F, E, C) | (~p(A, D, F)) | (~p(D, E, B)) | (~p(A, B, C)))),
% 64.63/41.59      inference(modus_ponens,[status(thm)],[27, 23])).
% 64.63/41.59  tff(29,plain,(
% 64.63/41.59      ![B: $i, D: $i, A: $i, E: $i, F: $i, C: $i] : (p(F, E, C) | (~p(A, D, F)) | (~p(D, E, B)) | (~p(A, B, C)))),
% 64.63/41.59      inference(skolemize,[status(sab)],[28])).
% 64.63/41.59  tff(30,plain,
% 64.63/41.59      (![B: $i, D: $i, A: $i, E: $i, F: $i, C: $i] : (p(F, E, C) | (~p(A, D, F)) | (~p(D, E, B)) | (~p(A, B, C)))),
% 64.63/41.59      inference(modus_ponens,[status(thm)],[29, 22])).
% 64.63/41.59  tff(31,plain,
% 64.63/41.59      (((~![B: $i, D: $i, A: $i, E: $i, F: $i, C: $i] : (p(F, E, C) | (~p(A, D, F)) | (~p(D, E, B)) | (~p(A, B, C)))) | ((~p(g(g(g(h(g(h(elem!0, elem!0), g(elem!0, elem!0)), g(h(h(elem!0, elem!0), g(elem!0, elem!0)), h(h(elem!0, elem!0), h(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0))))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0))))), g(g(h(g(h(elem!0, elem!0), g(elem!0, elem!0)), g(h(h(elem!0, elem!0), g(elem!0, elem!0)), h(h(elem!0, elem!0), h(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0))))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0)))))) | p(h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0)))), h(g(g(h(g(h(elem!0, elem!0), g(elem!0, elem!0)), g(h(h(elem!0, elem!0), g(elem!0, elem!0)), h(h(elem!0, elem!0), h(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0))))), g(g(h(g(h(elem!0, elem!0), g(elem!0, elem!0)), g(h(h(elem!0, elem!0), g(elem!0, elem!0)), h(h(elem!0, elem!0), h(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0)))))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0))))) | (~p(g(g(h(g(h(elem!0, elem!0), g(elem!0, elem!0)), g(h(h(elem!0, elem!0), g(elem!0, elem!0)), h(h(elem!0, elem!0), h(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0))))), h(g(g(h(g(h(elem!0, elem!0), g(elem!0, elem!0)), g(h(h(elem!0, elem!0), g(elem!0, elem!0)), h(h(elem!0, elem!0), h(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0))))), g(g(h(g(h(elem!0, elem!0), g(elem!0, elem!0)), g(h(h(elem!0, elem!0), g(elem!0, elem!0)), h(h(elem!0, elem!0), h(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0)))))), g(g(h(g(h(elem!0, elem!0), g(elem!0, elem!0)), g(h(h(elem!0, elem!0), g(elem!0, elem!0)), h(h(elem!0, elem!0), h(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0))))))))) <=> ((~![B: $i, D: $i, A: $i, E: $i, F: $i, C: $i] : (p(F, E, C) | (~p(A, D, F)) | (~p(D, E, B)) | (~p(A, B, C)))) | (~p(g(g(g(h(g(h(elem!0, elem!0), g(elem!0, elem!0)), g(h(h(elem!0, elem!0), g(elem!0, elem!0)), h(h(elem!0, elem!0), h(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0))))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0))))), g(g(h(g(h(elem!0, elem!0), g(elem!0, elem!0)), g(h(h(elem!0, elem!0), g(elem!0, elem!0)), h(h(elem!0, elem!0), h(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0))))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0)))))) | p(h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0)))), h(g(g(h(g(h(elem!0, elem!0), g(elem!0, elem!0)), g(h(h(elem!0, elem!0), g(elem!0, elem!0)), h(h(elem!0, elem!0), h(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0))))), g(g(h(g(h(elem!0, elem!0), g(elem!0, elem!0)), g(h(h(elem!0, elem!0), g(elem!0, elem!0)), h(h(elem!0, elem!0), h(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0)))))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0))))) | (~p(g(g(h(g(h(elem!0, elem!0), g(elem!0, elem!0)), g(h(h(elem!0, elem!0), g(elem!0, elem!0)), h(h(elem!0, elem!0), h(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0))))), h(g(g(h(g(h(elem!0, elem!0), g(elem!0, elem!0)), g(h(h(elem!0, elem!0), g(elem!0, elem!0)), h(h(elem!0, elem!0), h(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0))))), g(g(h(g(h(elem!0, elem!0), g(elem!0, elem!0)), g(h(h(elem!0, elem!0), g(elem!0, elem!0)), h(h(elem!0, elem!0), h(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0)))))), g(g(h(g(h(elem!0, elem!0), g(elem!0, elem!0)), g(h(h(elem!0, elem!0), g(elem!0, elem!0)), h(h(elem!0, elem!0), h(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0))))))))),
% 64.65/41.59      inference(rewrite,[status(thm)],[])).
% 64.65/41.59  tff(32,plain,
% 64.65/41.59      ((p(h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0)))), h(g(g(h(g(h(elem!0, elem!0), g(elem!0, elem!0)), g(h(h(elem!0, elem!0), g(elem!0, elem!0)), h(h(elem!0, elem!0), h(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0))))), g(g(h(g(h(elem!0, elem!0), g(elem!0, elem!0)), g(h(h(elem!0, elem!0), g(elem!0, elem!0)), h(h(elem!0, elem!0), h(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), 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% 64.65/41.60      inference(rewrite,[status(thm)],[])).
% 64.65/41.60  tff(33,plain,
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% 64.67/41.61      inference(monotonicity,[status(thm)],[32])).
% 64.67/41.61  tff(34,plain,
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% 64.67/41.62      inference(transitivity,[status(thm)],[33, 31])).
% 64.67/41.62  tff(35,plain,
% 64.67/41.62      ((~![B: $i, D: $i, A: $i, E: $i, F: $i, C: $i] : (p(F, E, C) | (~p(A, D, F)) | (~p(D, E, B)) | (~p(A, B, C)))) | (p(h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0)))), h(g(g(h(g(h(elem!0, elem!0), g(elem!0, elem!0)), g(h(h(elem!0, elem!0), g(elem!0, elem!0)), h(h(elem!0, elem!0), h(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0))))), g(g(h(g(h(elem!0, elem!0), g(elem!0, elem!0)), g(h(h(elem!0, elem!0), g(elem!0, elem!0)), h(h(elem!0, elem!0), h(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), 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% 64.67/41.63      inference(quant_inst,[status(thm)],[])).
% 64.67/41.63  tff(36,plain,
% 64.67/41.63      ((~![B: $i, D: $i, A: $i, E: $i, F: $i, C: $i] : (p(F, E, C) | (~p(A, D, F)) | (~p(D, E, B)) | (~p(A, B, C)))) | (~p(g(g(g(h(g(h(elem!0, elem!0), g(elem!0, elem!0)), g(h(h(elem!0, elem!0), g(elem!0, elem!0)), h(h(elem!0, elem!0), h(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0))))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0))))), g(g(h(g(h(elem!0, elem!0), g(elem!0, elem!0)), g(h(h(elem!0, elem!0), g(elem!0, elem!0)), h(h(elem!0, elem!0), h(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0))))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0)))))) | p(h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0)))), h(g(g(h(g(h(elem!0, elem!0), g(elem!0, elem!0)), g(h(h(elem!0, elem!0), g(elem!0, elem!0)), h(h(elem!0, elem!0), h(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0))))), g(g(h(g(h(elem!0, elem!0), g(elem!0, elem!0)), g(h(h(elem!0, elem!0), g(elem!0, elem!0)), h(h(elem!0, elem!0), h(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0)))))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0))))) | (~p(g(g(h(g(h(elem!0, elem!0), g(elem!0, elem!0)), g(h(h(elem!0, elem!0), g(elem!0, elem!0)), h(h(elem!0, elem!0), h(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0))))), h(g(g(h(g(h(elem!0, elem!0), g(elem!0, elem!0)), g(h(h(elem!0, elem!0), g(elem!0, elem!0)), h(h(elem!0, elem!0), h(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0))))), g(g(h(g(h(elem!0, elem!0), g(elem!0, elem!0)), g(h(h(elem!0, elem!0), g(elem!0, elem!0)), h(h(elem!0, elem!0), h(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0)))))), g(g(h(g(h(elem!0, elem!0), g(elem!0, elem!0)), g(h(h(elem!0, elem!0), g(elem!0, elem!0)), h(h(elem!0, elem!0), h(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0)))))))),
% 64.67/41.63      inference(modus_ponens,[status(thm)],[35, 34])).
% 64.67/41.63  tff(37,plain,
% 64.67/41.63      (p(h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0)))), h(g(g(h(g(h(elem!0, elem!0), g(elem!0, elem!0)), g(h(h(elem!0, elem!0), g(elem!0, elem!0)), h(h(elem!0, elem!0), h(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0))))), g(g(h(g(h(elem!0, elem!0), g(elem!0, elem!0)), g(h(h(elem!0, elem!0), g(elem!0, elem!0)), h(h(elem!0, elem!0), h(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0)))))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0)))))),
% 64.67/41.63      inference(unit_resolution,[status(thm)],[36, 30, 20, 18])).
% 64.67/41.63  tff(38,plain,
% 64.67/41.63      ((~![B: $i, A: $i] : p(g(A, B), A, B)) | p(g(h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0)))), h(g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0)))))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0)))), h(g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))))),
% 64.67/41.63      inference(quant_inst,[status(thm)],[])).
% 64.67/41.63  tff(39,plain,
% 64.67/41.63      (p(g(h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0)))), h(g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0)))))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0)))), h(g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))))),
% 64.67/41.63      inference(unit_resolution,[status(thm)],[38, 7])).
% 64.67/41.63  tff(40,plain,
% 64.67/41.63      (((~![B: $i, D: $i, A: $i, E: $i, F: $i, C: $i] : (p(F, E, C) | (~p(A, D, F)) | (~p(D, E, B)) | (~p(A, B, C)))) | ((~p(g(h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0)))), h(g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0)))))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0)))), h(g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), 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% 64.67/41.63      inference(rewrite,[status(thm)],[])).
% 64.67/41.63  tff(41,plain,
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% 64.67/41.64      inference(rewrite,[status(thm)],[])).
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% 64.67/41.65      inference(monotonicity,[status(thm)],[41])).
% 64.67/41.65  tff(43,plain,
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% 64.67/41.66      inference(transitivity,[status(thm)],[42, 40])).
% 64.67/41.66  tff(44,plain,
% 64.67/41.66      ((~![B: $i, D: $i, A: $i, E: $i, F: $i, C: $i] : (p(F, E, C) | (~p(A, D, F)) | (~p(D, E, B)) | (~p(A, B, C)))) | (p(h(g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))), h(g(g(h(g(h(elem!0, elem!0), g(elem!0, elem!0)), g(h(h(elem!0, elem!0), g(elem!0, elem!0)), h(h(elem!0, elem!0), h(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0))))), g(g(h(g(h(elem!0, elem!0), g(elem!0, elem!0)), g(h(h(elem!0, elem!0), g(elem!0, elem!0)), h(h(elem!0, elem!0), h(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0)))))), h(g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0)))))) | (~p(g(h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0)))), h(g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0)))))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0)))), h(g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))))) | (~p(h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0)))), h(g(g(h(g(h(elem!0, elem!0), g(elem!0, elem!0)), g(h(h(elem!0, elem!0), g(elem!0, elem!0)), h(h(elem!0, elem!0), h(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0))))), g(g(h(g(h(elem!0, elem!0), g(elem!0, elem!0)), g(h(h(elem!0, elem!0), g(elem!0, elem!0)), h(h(elem!0, elem!0), h(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0)))))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0)))))) | (~p(g(h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0)))), h(g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0)))))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0)))), h(g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))))))),
% 64.67/41.66      inference(quant_inst,[status(thm)],[])).
% 64.67/41.66  tff(45,plain,
% 64.67/41.66      ((~![B: $i, D: $i, A: $i, E: $i, F: $i, C: $i] : (p(F, E, C) | (~p(A, D, F)) | (~p(D, E, B)) | (~p(A, B, C)))) | (~p(g(h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0)))), h(g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0)))))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0)))), h(g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))))) | p(h(g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))), h(g(g(h(g(h(elem!0, elem!0), g(elem!0, elem!0)), g(h(h(elem!0, elem!0), g(elem!0, elem!0)), h(h(elem!0, elem!0), h(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0))))), g(g(h(g(h(elem!0, elem!0), g(elem!0, elem!0)), g(h(h(elem!0, elem!0), g(elem!0, elem!0)), h(h(elem!0, elem!0), h(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0)))))), h(g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0)))))) | (~p(h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0)))), h(g(g(h(g(h(elem!0, elem!0), g(elem!0, elem!0)), g(h(h(elem!0, elem!0), g(elem!0, elem!0)), h(h(elem!0, elem!0), h(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0))))), g(g(h(g(h(elem!0, elem!0), g(elem!0, elem!0)), g(h(h(elem!0, elem!0), g(elem!0, elem!0)), h(h(elem!0, elem!0), h(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0)))))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0))))))),
% 64.67/41.66      inference(modus_ponens,[status(thm)],[44, 43])).
% 64.67/41.66  tff(46,plain,
% 64.67/41.66      (p(h(g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))), h(g(g(h(g(h(elem!0, elem!0), g(elem!0, elem!0)), g(h(h(elem!0, elem!0), g(elem!0, elem!0)), h(h(elem!0, elem!0), h(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0))))), g(g(h(g(h(elem!0, elem!0), g(elem!0, elem!0)), g(h(h(elem!0, elem!0), g(elem!0, elem!0)), h(h(elem!0, elem!0), h(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0)))))), h(g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))))),
% 64.67/41.66      inference(unit_resolution,[status(thm)],[45, 30, 39, 37])).
% 64.67/41.66  tff(47,plain,
% 64.67/41.66      ((~![B: $i, A: $i] : p(A, h(A, B), B)) | p(g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0)))), h(g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0)))))),
% 64.67/41.66      inference(quant_inst,[status(thm)],[])).
% 64.67/41.66  tff(48,plain,
% 64.67/41.66      (p(g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0)))), h(g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0)))))),
% 64.67/41.66      inference(unit_resolution,[status(thm)],[47, 16])).
% 64.67/41.66  tff(49,plain,
% 64.67/41.66      (((~![B: $i, D: $i, A: $i, E: $i, F: $i, C: $i] : (p(F, E, C) | (~p(A, D, F)) | (~p(D, E, B)) | (~p(A, B, C)))) | ((~p(g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0)))), h(g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0)))))) | (~p(h(g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))), h(g(g(h(g(h(elem!0, elem!0), g(elem!0, elem!0)), g(h(h(elem!0, elem!0), g(elem!0, elem!0)), h(h(elem!0, elem!0), h(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0))))), g(g(h(g(h(elem!0, elem!0), g(elem!0, elem!0)), g(h(h(elem!0, elem!0), g(elem!0, elem!0)), h(h(elem!0, elem!0), h(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0)))))), h(g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))))) | p(g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0)))), h(g(g(h(g(h(elem!0, elem!0), g(elem!0, elem!0)), g(h(h(elem!0, elem!0), g(elem!0, elem!0)), h(h(elem!0, elem!0), h(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0))))), g(g(h(g(h(elem!0, elem!0), g(elem!0, elem!0)), g(h(h(elem!0, elem!0), g(elem!0, elem!0)), h(h(elem!0, elem!0), h(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0)))))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))))) <=> ((~![B: $i, D: $i, A: $i, E: $i, F: $i, C: $i] : (p(F, E, C) | (~p(A, D, F)) | (~p(D, E, B)) | (~p(A, B, C)))) | (~p(g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0)))), h(g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0)))))) | (~p(h(g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))), h(g(g(h(g(h(elem!0, elem!0), g(elem!0, elem!0)), g(h(h(elem!0, elem!0), 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elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))))) | p(g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0)))), h(g(g(h(g(h(elem!0, elem!0), g(elem!0, elem!0)), g(h(h(elem!0, elem!0), g(elem!0, elem!0)), h(h(elem!0, elem!0), h(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0))))), g(g(h(g(h(elem!0, elem!0), g(elem!0, elem!0)), g(h(h(elem!0, elem!0), g(elem!0, elem!0)), h(h(elem!0, elem!0), h(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0)))))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))))),
% 64.67/41.67      inference(rewrite,[status(thm)],[])).
% 64.67/41.67  tff(50,plain,
% 64.67/41.67      ((p(g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0)))), h(g(g(h(g(h(elem!0, elem!0), g(elem!0, elem!0)), g(h(h(elem!0, elem!0), g(elem!0, elem!0)), h(h(elem!0, elem!0), h(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0))))), g(g(h(g(h(elem!0, elem!0), g(elem!0, elem!0)), g(h(h(elem!0, elem!0), g(elem!0, elem!0)), h(h(elem!0, elem!0), h(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0)))))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))) | (~p(g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0)))), h(g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0)))))) | (~p(h(g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))), h(g(g(h(g(h(elem!0, elem!0), g(elem!0, elem!0)), g(h(h(elem!0, elem!0), g(elem!0, elem!0)), h(h(elem!0, elem!0), h(elem!0, elem!0)))), g(h(h(elem!0, 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(~p(g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0)))), h(g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))))) <=> ((~p(g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0)))), h(g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0)))))) | (~p(h(g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), 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elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0)))))), h(g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))))) | p(g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0)))), h(g(g(h(g(h(elem!0, elem!0), g(elem!0, elem!0)), g(h(h(elem!0, elem!0), g(elem!0, elem!0)), h(h(elem!0, elem!0), h(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0))))), g(g(h(g(h(elem!0, elem!0), g(elem!0, elem!0)), g(h(h(elem!0, elem!0), g(elem!0, elem!0)), h(h(elem!0, elem!0), h(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0)))))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))))),
% 64.67/41.67      inference(rewrite,[status(thm)],[])).
% 64.67/41.67  tff(51,plain,
% 64.67/41.67      (((~![B: $i, D: $i, A: $i, E: $i, F: $i, C: $i] : (p(F, E, C) | (~p(A, D, F)) | (~p(D, E, B)) | (~p(A, B, C)))) | (p(g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0)))), h(g(g(h(g(h(elem!0, elem!0), g(elem!0, elem!0)), g(h(h(elem!0, elem!0), g(elem!0, elem!0)), h(h(elem!0, elem!0), h(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0))))), g(g(h(g(h(elem!0, elem!0), g(elem!0, elem!0)), g(h(h(elem!0, elem!0), g(elem!0, elem!0)), h(h(elem!0, elem!0), h(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0)))))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))) | (~p(g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0)))), h(g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0)))))) | (~p(h(g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))), h(g(g(h(g(h(elem!0, elem!0), g(elem!0, elem!0)), g(h(h(elem!0, elem!0), g(elem!0, elem!0)), h(h(elem!0, elem!0), h(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0))))), g(g(h(g(h(elem!0, elem!0), g(elem!0, elem!0)), g(h(h(elem!0, elem!0), g(elem!0, elem!0)), h(h(elem!0, elem!0), h(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0)))))), h(g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))))) | (~p(g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0)))), h(g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0)))))))) <=> ((~![B: $i, D: $i, A: $i, E: $i, F: $i, C: $i] : (p(F, E, C) | (~p(A, D, F)) | (~p(D, E, B)) | (~p(A, B, C)))) | ((~p(g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0)))), h(g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0)))))) | (~p(h(g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))), h(g(g(h(g(h(elem!0, elem!0), g(elem!0, elem!0)), g(h(h(elem!0, elem!0), g(elem!0, elem!0)), h(h(elem!0, elem!0), h(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0))))), g(g(h(g(h(elem!0, elem!0), g(elem!0, elem!0)), g(h(h(elem!0, elem!0), g(elem!0, elem!0)), h(h(elem!0, elem!0), h(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0)))))), h(g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))))) | p(g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0)))), h(g(g(h(g(h(elem!0, elem!0), g(elem!0, elem!0)), g(h(h(elem!0, elem!0), g(elem!0, elem!0)), h(h(elem!0, elem!0), h(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0))))), g(g(h(g(h(elem!0, elem!0), g(elem!0, elem!0)), g(h(h(elem!0, elem!0), g(elem!0, elem!0)), h(h(elem!0, elem!0), h(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0)))))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0)))))))),
% 64.67/41.68      inference(monotonicity,[status(thm)],[50])).
% 64.67/41.68  tff(52,plain,
% 64.67/41.68      (((~![B: $i, D: $i, A: $i, E: $i, F: $i, C: $i] : (p(F, E, C) | (~p(A, D, F)) | (~p(D, E, B)) | (~p(A, B, C)))) | (p(g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0)))), h(g(g(h(g(h(elem!0, elem!0), g(elem!0, elem!0)), g(h(h(elem!0, elem!0), g(elem!0, elem!0)), h(h(elem!0, elem!0), h(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0))))), g(g(h(g(h(elem!0, elem!0), g(elem!0, elem!0)), g(h(h(elem!0, elem!0), g(elem!0, elem!0)), h(h(elem!0, elem!0), h(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0)))))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))) | (~p(g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0)))), h(g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0)))))) | (~p(h(g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))), h(g(g(h(g(h(elem!0, elem!0), g(elem!0, elem!0)), g(h(h(elem!0, elem!0), g(elem!0, elem!0)), h(h(elem!0, elem!0), h(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0))))), g(g(h(g(h(elem!0, elem!0), g(elem!0, elem!0)), g(h(h(elem!0, elem!0), g(elem!0, elem!0)), h(h(elem!0, elem!0), h(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0)))))), h(g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0)))), 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g(elem!0, elem!0))))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0)))))) | (~p(h(g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))), h(g(g(h(g(h(elem!0, elem!0), g(elem!0, elem!0)), g(h(h(elem!0, elem!0), g(elem!0, elem!0)), h(h(elem!0, elem!0), h(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0))))), g(g(h(g(h(elem!0, elem!0), g(elem!0, elem!0)), g(h(h(elem!0, elem!0), g(elem!0, elem!0)), h(h(elem!0, elem!0), h(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0)))))), h(g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))))) | p(g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0)))), h(g(g(h(g(h(elem!0, elem!0), g(elem!0, elem!0)), g(h(h(elem!0, elem!0), g(elem!0, elem!0)), h(h(elem!0, elem!0), h(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0))))), g(g(h(g(h(elem!0, elem!0), g(elem!0, elem!0)), g(h(h(elem!0, elem!0), g(elem!0, elem!0)), h(h(elem!0, elem!0), h(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0)))))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))))),
% 64.67/41.68      inference(transitivity,[status(thm)],[51, 49])).
% 64.67/41.68  tff(53,plain,
% 64.67/41.68      ((~![B: $i, D: $i, A: $i, E: $i, F: $i, C: $i] : (p(F, E, C) | (~p(A, D, F)) | (~p(D, E, B)) | (~p(A, B, C)))) | (p(g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0)))), h(g(g(h(g(h(elem!0, elem!0), g(elem!0, elem!0)), g(h(h(elem!0, elem!0), g(elem!0, elem!0)), h(h(elem!0, elem!0), h(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0))))), g(g(h(g(h(elem!0, elem!0), g(elem!0, elem!0)), g(h(h(elem!0, elem!0), g(elem!0, elem!0)), h(h(elem!0, elem!0), h(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0)))))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))) | (~p(g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0)))), h(g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0)))))) | (~p(h(g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))), h(g(g(h(g(h(elem!0, elem!0), g(elem!0, elem!0)), g(h(h(elem!0, elem!0), g(elem!0, elem!0)), h(h(elem!0, elem!0), h(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0))))), g(g(h(g(h(elem!0, elem!0), g(elem!0, elem!0)), g(h(h(elem!0, elem!0), g(elem!0, elem!0)), h(h(elem!0, elem!0), h(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0)))))), h(g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))))) | (~p(g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0)))), h(g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0)))))))),
% 64.67/41.68      inference(quant_inst,[status(thm)],[])).
% 64.67/41.68  tff(54,plain,
% 64.67/41.68      ((~![B: $i, D: $i, A: $i, E: $i, F: $i, C: $i] : (p(F, E, C) | (~p(A, D, F)) | (~p(D, E, B)) | (~p(A, B, C)))) | (~p(g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0)))), h(g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0)))))) | (~p(h(g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))), h(g(g(h(g(h(elem!0, elem!0), g(elem!0, elem!0)), g(h(h(elem!0, elem!0), g(elem!0, elem!0)), h(h(elem!0, elem!0), h(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0))))), g(g(h(g(h(elem!0, elem!0), g(elem!0, elem!0)), g(h(h(elem!0, elem!0), g(elem!0, elem!0)), h(h(elem!0, elem!0), h(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0)))))), h(g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))))) | p(g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0)))), h(g(g(h(g(h(elem!0, elem!0), g(elem!0, elem!0)), g(h(h(elem!0, elem!0), g(elem!0, elem!0)), h(h(elem!0, elem!0), h(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0))))), g(g(h(g(h(elem!0, elem!0), g(elem!0, elem!0)), g(h(h(elem!0, elem!0), g(elem!0, elem!0)), h(h(elem!0, elem!0), h(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0)))))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0)))))),
% 64.67/41.68      inference(modus_ponens,[status(thm)],[53, 52])).
% 64.67/41.68  tff(55,plain,
% 64.67/41.68      (p(g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0)))), h(g(g(h(g(h(elem!0, elem!0), g(elem!0, elem!0)), g(h(h(elem!0, elem!0), g(elem!0, elem!0)), h(h(elem!0, elem!0), h(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0))))), g(g(h(g(h(elem!0, elem!0), g(elem!0, elem!0)), g(h(h(elem!0, elem!0), g(elem!0, elem!0)), h(h(elem!0, elem!0), h(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0)))))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0)))))),
% 64.67/41.69      inference(unit_resolution,[status(thm)],[54, 30, 48, 46])).
% 64.67/41.69  tff(56,plain,
% 64.67/41.69      (((~![B: $i, D: $i, A: $i, E: $i, F: $i, C: $i] : (p(F, E, C) | (~p(A, D, F)) | (~p(D, E, B)) | (~p(A, B, C)))) | ((~p(g(g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0)))), g(h(g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0)))), g(g(elem!0, g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0)))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0)))))), g(h(g(elem!0, elem!0), k(h(elem!0, elem!0))), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), g(h(h(elem!0, elem!0), g(elem!0, elem!0)), h(h(elem!0, elem!0), h(elem!0, elem!0))))))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0)))), g(h(g(h(h(elem!0, elem!0), h(elem!0, elem!0)), 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% 64.67/41.69      inference(rewrite,[status(thm)],[])).
% 64.67/41.69  tff(57,plain,
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% 64.75/41.70      inference(rewrite,[status(thm)],[])).
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% 64.75/41.71      inference(monotonicity,[status(thm)],[57])).
% 64.75/41.71  tff(59,plain,
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% 64.75/41.72      inference(transitivity,[status(thm)],[58, 56])).
% 64.75/41.72  tff(60,plain,
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% 64.75/41.72      inference(quant_inst,[status(thm)],[])).
% 64.75/41.72  tff(61,plain,
% 64.75/41.72      ((~![B: $i, D: $i, A: $i, E: $i, F: $i, C: $i] : (p(F, E, C) | (~p(A, D, F)) | (~p(D, E, B)) | (~p(A, B, C)))) | (~p(g(g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0)))), g(h(g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0)))), g(g(elem!0, g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0)))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0)))))), g(h(g(elem!0, elem!0), k(h(elem!0, elem!0))), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), g(h(h(elem!0, elem!0), g(elem!0, elem!0)), h(h(elem!0, elem!0), h(elem!0, elem!0))))))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0)))), g(h(g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0)))), g(g(elem!0, g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0)))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0)))))), g(h(g(elem!0, elem!0), k(h(elem!0, elem!0))), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), g(h(h(elem!0, elem!0), g(elem!0, elem!0)), h(h(elem!0, elem!0), h(elem!0, elem!0)))))))) | (~p(g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0)))), h(g(g(h(g(h(elem!0, elem!0), g(elem!0, elem!0)), g(h(h(elem!0, elem!0), g(elem!0, elem!0)), h(h(elem!0, elem!0), h(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0))))), g(g(h(g(h(elem!0, elem!0), g(elem!0, elem!0)), g(h(h(elem!0, elem!0), g(elem!0, elem!0)), h(h(elem!0, elem!0), h(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0)))))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0)))))) | p(g(h(g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0)))), g(g(elem!0, g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0)))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0)))))), g(h(g(elem!0, elem!0), k(h(elem!0, elem!0))), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), g(h(h(elem!0, elem!0), g(elem!0, elem!0)), h(h(elem!0, elem!0), h(elem!0, elem!0)))))), h(g(g(h(g(h(elem!0, elem!0), g(elem!0, elem!0)), g(h(h(elem!0, elem!0), g(elem!0, elem!0)), h(h(elem!0, elem!0), h(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0))))), g(g(h(g(h(elem!0, elem!0), g(elem!0, elem!0)), g(h(h(elem!0, elem!0), g(elem!0, elem!0)), h(h(elem!0, elem!0), h(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0)))))), g(h(g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0)))), g(g(elem!0, g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0)))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0)))))), g(h(g(elem!0, elem!0), k(h(elem!0, elem!0))), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), g(h(h(elem!0, elem!0), g(elem!0, elem!0)), h(h(elem!0, elem!0), h(elem!0, elem!0)))))))),
% 64.75/41.73      inference(modus_ponens,[status(thm)],[60, 59])).
% 64.75/41.73  tff(62,plain,
% 64.75/41.73      (p(g(h(g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0)))), g(g(elem!0, g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0)))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0)))))), g(h(g(elem!0, elem!0), k(h(elem!0, elem!0))), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), g(h(h(elem!0, elem!0), g(elem!0, elem!0)), h(h(elem!0, elem!0), h(elem!0, elem!0)))))), h(g(g(h(g(h(elem!0, elem!0), g(elem!0, elem!0)), g(h(h(elem!0, elem!0), g(elem!0, elem!0)), h(h(elem!0, elem!0), h(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0))))), g(g(h(g(h(elem!0, elem!0), g(elem!0, elem!0)), g(h(h(elem!0, elem!0), g(elem!0, elem!0)), h(h(elem!0, elem!0), h(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0)))))), g(h(g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0)))), g(g(elem!0, g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0)))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0)))))), g(h(g(elem!0, elem!0), k(h(elem!0, elem!0))), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), g(h(h(elem!0, elem!0), g(elem!0, elem!0)), h(h(elem!0, elem!0), h(elem!0, elem!0)))))))),
% 64.75/41.73      inference(unit_resolution,[status(thm)],[61, 30, 55, 9])).
% 64.75/41.73  tff(63,plain,
% 64.75/41.73      ((~![B: $i, A: $i] : p(g(A, B), A, B)) | p(g(g(h(g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0)))), g(g(elem!0, g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0)))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0)))))), g(h(g(elem!0, elem!0), k(h(elem!0, elem!0))), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), g(h(h(elem!0, elem!0), g(elem!0, elem!0)), h(h(elem!0, elem!0), h(elem!0, elem!0)))))), k(h(g(g(h(g(h(elem!0, elem!0), g(elem!0, elem!0)), g(h(h(elem!0, elem!0), g(elem!0, elem!0)), h(h(elem!0, elem!0), h(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0))))), g(g(h(g(h(elem!0, elem!0), g(elem!0, elem!0)), g(h(h(elem!0, elem!0), g(elem!0, elem!0)), h(h(elem!0, elem!0), h(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0)))))))), g(h(g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0)))), g(g(elem!0, g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0)))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0)))))), g(h(g(elem!0, elem!0), k(h(elem!0, elem!0))), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), g(h(h(elem!0, elem!0), g(elem!0, elem!0)), h(h(elem!0, elem!0), h(elem!0, elem!0)))))), k(h(g(g(h(g(h(elem!0, elem!0), g(elem!0, elem!0)), g(h(h(elem!0, elem!0), g(elem!0, elem!0)), h(h(elem!0, elem!0), h(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0))))), g(g(h(g(h(elem!0, elem!0), g(elem!0, elem!0)), g(h(h(elem!0, elem!0), g(elem!0, elem!0)), h(h(elem!0, elem!0), h(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0))))))))),
% 64.75/41.73      inference(quant_inst,[status(thm)],[])).
% 64.75/41.73  tff(64,plain,
% 64.75/41.73      (p(g(g(h(g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0)))), g(g(elem!0, g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0)))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0)))))), g(h(g(elem!0, elem!0), k(h(elem!0, elem!0))), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), g(h(h(elem!0, elem!0), g(elem!0, elem!0)), h(h(elem!0, elem!0), h(elem!0, elem!0)))))), k(h(g(g(h(g(h(elem!0, elem!0), g(elem!0, elem!0)), g(h(h(elem!0, elem!0), g(elem!0, elem!0)), h(h(elem!0, elem!0), h(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0))))), g(g(h(g(h(elem!0, elem!0), g(elem!0, elem!0)), g(h(h(elem!0, elem!0), g(elem!0, elem!0)), h(h(elem!0, elem!0), h(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0)))))))), g(h(g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0)))), g(g(elem!0, g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0)))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0)))))), g(h(g(elem!0, elem!0), k(h(elem!0, elem!0))), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), g(h(h(elem!0, elem!0), g(elem!0, elem!0)), h(h(elem!0, elem!0), h(elem!0, elem!0)))))), k(h(g(g(h(g(h(elem!0, elem!0), g(elem!0, elem!0)), g(h(h(elem!0, elem!0), g(elem!0, elem!0)), h(h(elem!0, elem!0), h(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0))))), g(g(h(g(h(elem!0, elem!0), g(elem!0, elem!0)), g(h(h(elem!0, elem!0), g(elem!0, elem!0)), h(h(elem!0, elem!0), h(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0))))))))),
% 64.75/41.73      inference(unit_resolution,[status(thm)],[63, 7])).
% 64.75/41.73  tff(65,plain,
% 64.75/41.73      (^[A: $i] : refl((~p(k(A), A, k(A))) <=> (~p(k(A), A, k(A))))),
% 64.75/41.73      inference(bind,[status(th)],[])).
% 64.75/41.73  tff(66,plain,
% 64.75/41.73      (![A: $i] : (~p(k(A), A, k(A))) <=> ![A: $i] : (~p(k(A), A, k(A)))),
% 64.75/41.73      inference(quant_intro,[status(thm)],[65])).
% 64.75/41.73  tff(67,plain,
% 64.75/41.73      (![A: $i] : (~p(k(A), A, k(A))) <=> ![A: $i] : (~p(k(A), A, k(A)))),
% 64.75/41.73      inference(rewrite,[status(thm)],[])).
% 64.75/41.73  tff(68,axiom,(![A: $i] : (~p(k(A), A, k(A)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_something')).
% 64.75/41.73  tff(69,plain,
% 64.75/41.73      (![A: $i] : (~p(k(A), A, k(A)))),
% 64.75/41.73      inference(modus_ponens,[status(thm)],[68, 67])).
% 64.75/41.73  tff(70,plain,(
% 64.75/41.73      ![A: $i] : (~p(k(A), A, k(A)))),
% 64.75/41.73      inference(skolemize,[status(sab)],[69])).
% 64.75/41.73  tff(71,plain,
% 64.75/41.73      (![A: $i] : (~p(k(A), A, k(A)))),
% 64.75/41.73      inference(modus_ponens,[status(thm)],[70, 66])).
% 64.75/41.73  tff(72,plain,
% 64.75/41.73      ((~![A: $i] : (~p(k(A), A, k(A)))) | (~p(k(h(g(g(h(g(h(elem!0, elem!0), g(elem!0, elem!0)), g(h(h(elem!0, elem!0), g(elem!0, elem!0)), h(h(elem!0, elem!0), h(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0))))), g(g(h(g(h(elem!0, elem!0), g(elem!0, elem!0)), g(h(h(elem!0, elem!0), g(elem!0, elem!0)), h(h(elem!0, elem!0), h(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0))))))), h(g(g(h(g(h(elem!0, elem!0), g(elem!0, elem!0)), g(h(h(elem!0, elem!0), g(elem!0, elem!0)), h(h(elem!0, elem!0), h(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0))))), g(g(h(g(h(elem!0, elem!0), g(elem!0, elem!0)), g(h(h(elem!0, elem!0), g(elem!0, elem!0)), h(h(elem!0, elem!0), h(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0)))))), k(h(g(g(h(g(h(elem!0, elem!0), g(elem!0, elem!0)), g(h(h(elem!0, elem!0), g(elem!0, elem!0)), h(h(elem!0, elem!0), h(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0))))), g(g(h(g(h(elem!0, elem!0), g(elem!0, elem!0)), g(h(h(elem!0, elem!0), g(elem!0, elem!0)), h(h(elem!0, elem!0), h(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0)))))))))),
% 64.75/41.74      inference(quant_inst,[status(thm)],[])).
% 64.75/41.74  tff(73,plain,
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% 64.75/41.74      inference(unit_resolution,[status(thm)],[72, 71])).
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% 64.75/41.76      inference(rewrite,[status(thm)],[])).
% 64.75/41.76  tff(76,plain,
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% 64.75/41.78      inference(monotonicity,[status(thm)],[75])).
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% 64.84/41.79      inference(transitivity,[status(thm)],[76, 74])).
% 64.84/41.79  tff(78,plain,
% 64.84/41.79      ((~![B: $i, D: $i, A: $i, E: $i, F: $i, C: $i] : (p(F, E, C) | (~p(A, D, F)) | (~p(D, E, B)) | (~p(A, B, C)))) | (p(k(h(g(g(h(g(h(elem!0, elem!0), g(elem!0, elem!0)), g(h(h(elem!0, elem!0), g(elem!0, elem!0)), h(h(elem!0, elem!0), h(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0))))), g(g(h(g(h(elem!0, elem!0), g(elem!0, elem!0)), g(h(h(elem!0, elem!0), g(elem!0, elem!0)), h(h(elem!0, elem!0), h(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, 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% 64.84/41.80      inference(quant_inst,[status(thm)],[])).
% 64.84/41.80  tff(79,plain,
% 64.84/41.80      ((~![B: $i, D: $i, A: $i, E: $i, F: $i, C: $i] : (p(F, E, C) | (~p(A, D, F)) | (~p(D, E, B)) | (~p(A, B, C)))) | p(k(h(g(g(h(g(h(elem!0, elem!0), g(elem!0, elem!0)), g(h(h(elem!0, elem!0), g(elem!0, elem!0)), h(h(elem!0, elem!0), h(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0))))), g(g(h(g(h(elem!0, elem!0), g(elem!0, elem!0)), g(h(h(elem!0, elem!0), g(elem!0, elem!0)), h(h(elem!0, elem!0), h(elem!0, elem!0)))), g(h(h(elem!0, elem!0), h(elem!0, elem!0)), g(k(h(elem!0, elem!0)), g(h(elem!0, elem!0), g(elem!0, elem!0))))), h(h(g(g(elem!0, elem!0), h(k(h(elem!0, elem!0)), elem!0)), h(g(h(elem!0, elem!0), g(elem!0, elem!0)), h(k(h(elem!0, elem!0)), h(h(elem!0, elem!0), g(elem!0, 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h(h(elem!0, elem!0), g(elem!0, elem!0))))), k(h(h(elem!0, elem!0), h(elem!0, elem!0)))))))))),
% 64.84/41.81      inference(modus_ponens,[status(thm)],[78, 77])).
% 64.84/41.81  tff(80,plain,
% 64.84/41.81      ($false),
% 64.84/41.81      inference(unit_resolution,[status(thm)],[79, 30, 73, 64, 62])).
% 64.84/41.81  % SZS output end Proof
%------------------------------------------------------------------------------