TSTP Solution File: LCL038-10 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : LCL038-10 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n011.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 : 600s
% DateTime : Sun Jul 17 13:43:33 EDT 2022
% Result : Unsatisfiable 108.82s 109.16s
% Output : Refutation 108.82s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL038-10 : TPTP v8.1.0. Released v7.5.0.
% 0.07/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.13/0.33 % Computer : n011.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sun Jul 3 09:01:05 EDT 2022
% 0.13/0.33 % CPUTime :
% 108.24/108.52 ============================== Prover9 ===============================
% 108.24/108.52 Prover9 (32) version 2009-11A, November 2009.
% 108.24/108.52 Process 24769 was started by sandbox2 on n011.cluster.edu,
% 108.24/108.52 Sun Jul 3 09:01:06 2022
% 108.24/108.52 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_24614_n011.cluster.edu".
% 108.24/108.52 ============================== end of head ===========================
% 108.24/108.52
% 108.24/108.52 ============================== INPUT =================================
% 108.24/108.52
% 108.24/108.52 % Reading from file /tmp/Prover9_24614_n011.cluster.edu
% 108.24/108.52
% 108.24/108.52 set(prolog_style_variables).
% 108.24/108.52 set(auto2).
% 108.24/108.52 % set(auto2) -> set(auto).
% 108.24/108.52 % set(auto) -> set(auto_inference).
% 108.24/108.52 % set(auto) -> set(auto_setup).
% 108.24/108.52 % set(auto_setup) -> set(predicate_elim).
% 108.24/108.52 % set(auto_setup) -> assign(eq_defs, unfold).
% 108.24/108.52 % set(auto) -> set(auto_limits).
% 108.24/108.52 % set(auto_limits) -> assign(max_weight, "100.000").
% 108.24/108.52 % set(auto_limits) -> assign(sos_limit, 20000).
% 108.24/108.52 % set(auto) -> set(auto_denials).
% 108.24/108.52 % set(auto) -> set(auto_process).
% 108.24/108.52 % set(auto2) -> assign(new_constants, 1).
% 108.24/108.52 % set(auto2) -> assign(fold_denial_max, 3).
% 108.24/108.52 % set(auto2) -> assign(max_weight, "200.000").
% 108.24/108.52 % set(auto2) -> assign(max_hours, 1).
% 108.24/108.52 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 108.24/108.52 % set(auto2) -> assign(max_seconds, 0).
% 108.24/108.52 % set(auto2) -> assign(max_minutes, 5).
% 108.24/108.52 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 108.24/108.52 % set(auto2) -> set(sort_initial_sos).
% 108.24/108.52 % set(auto2) -> assign(sos_limit, -1).
% 108.24/108.52 % set(auto2) -> assign(lrs_ticks, 3000).
% 108.24/108.52 % set(auto2) -> assign(max_megs, 400).
% 108.24/108.52 % set(auto2) -> assign(stats, some).
% 108.24/108.52 % set(auto2) -> clear(echo_input).
% 108.24/108.52 % set(auto2) -> set(quiet).
% 108.24/108.52 % set(auto2) -> clear(print_initial_clauses).
% 108.24/108.52 % set(auto2) -> clear(print_given).
% 108.24/108.52 assign(lrs_ticks,-1).
% 108.24/108.52 assign(sos_limit,10000).
% 108.24/108.52 assign(order,kbo).
% 108.24/108.52 set(lex_order_vars).
% 108.24/108.52 clear(print_given).
% 108.24/108.52
% 108.24/108.52 % formulas(sos). % not echoed (4 formulas)
% 108.24/108.52
% 108.24/108.52 ============================== end of input ==========================
% 108.24/108.52
% 108.24/108.52 % From the command line: assign(max_seconds, 300).
% 108.24/108.52
% 108.24/108.52 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 108.24/108.52
% 108.24/108.52 % Formulas that are not ordinary clauses:
% 108.24/108.52
% 108.24/108.52 ============================== end of process non-clausal formulas ===
% 108.24/108.52
% 108.24/108.52 ============================== PROCESS INITIAL CLAUSES ===============
% 108.24/108.52
% 108.24/108.52 ============================== PREDICATE ELIMINATION =================
% 108.24/108.52
% 108.24/108.52 ============================== end predicate elimination =============
% 108.24/108.52
% 108.24/108.52 Auto_denials:
% 108.24/108.52 % copying label prove_c0_1 to answer in negative clause
% 108.24/108.52
% 108.24/108.52 Term ordering decisions:
% 108.24/108.52
% 108.24/108.52 % Assigning unary symbol is_a_theorem kb_weight 0 and highest precedence (8).
% 108.24/108.52 Function symbol KB weights: true=1. a=1. b=1. c=1. implies=1. ifeq=1. is_a_theorem=0.
% 108.24/108.52
% 108.24/108.52 ============================== end of process initial clauses ========
% 108.24/108.52
% 108.24/108.52 ============================== CLAUSES FOR SEARCH ====================
% 108.24/108.52
% 108.24/108.52 ============================== end of clauses for search =============
% 108.24/108.52
% 108.24/108.52 ============================== SEARCH ================================
% 108.24/108.52
% 108.24/108.52 % Starting search at 0.01 seconds.
% 108.24/108.52
% 108.24/108.52 Low Water (keep): wt=40.000, iters=3343
% 108.24/108.52
% 108.24/108.52 Low Water (keep): wt=38.000, iters=3371
% 108.24/108.52
% 108.24/108.52 Low Water (keep): wt=36.000, iters=3340
% 108.24/108.52
% 108.24/108.52 Low Water (keep): wt=35.000, iters=3334
% 108.24/108.52
% 108.24/108.52 Low Water (keep): wt=34.000, iters=3333
% 108.24/108.52
% 108.24/108.52 Low Water (keep): wt=32.000, iters=3335
% 108.24/108.52
% 108.24/108.52 Low Water (keep): wt=31.000, iters=3385
% 108.24/108.52
% 108.24/108.52 Low Water (keep): wt=30.000, iters=3338
% 108.24/108.52
% 108.24/108.52 Low Water (keep): wt=29.000, iters=3343
% 108.24/108.52
% 108.24/108.52 Low Water (keep): wt=28.000, iters=3336
% 108.24/108.52
% 108.24/108.52 Low Water (displace): id=6130, wt=52.000
% 108.24/108.52
% 108.24/108.52 Low Water (displace): id=5394, wt=50.000
% 108.24/108.52
% 108.24/108.52 Low Water (displace): id=6282, wt=48.000
% 108.24/108.52
% 108.24/108.52 Low Water (displace): id=5381, wt=47.000
% 108.24/108.52
% 108.24/108.52 Low Water (displace): id=6280, wt=46.000
% 108.24/108.52
% 108.24/108.52 Low Water (displace): id=6901, wt=44.000
% 108.24/108.52
% 108.24/108.52 Low Water (displace): id=13391, wt=26.000
% 108.24/108.52
% 108.24/108.52 Low Water (displace): id=13434, wt=24.000
% 108.24/108.52
% 108.24/108.52 Low Water (displace): id=13639, wt=23.000
% 108.24/108.52
% 108.24/108.52 Low Water (displace): id=13852, wt=22.000
% 108.24/108.52
% 108.24/108.52 Low Water (keep): wt=27.000, iters=3342
% 108.24/108.52
% 108.24/108.52 Low Water (keep): wt=26.000, iters=3333
% 108.24/108.52
% 108.24/108.52 Low Water (displace): id=17856, wt=20.000
% 108.24/108.52
% 108.24/108.52 Low Water (keep): wt=25.000, iters=3610
% 108.24/108.52
% 108.24/108.52 Low Water (keep): wt=24.000, iters=3334
% 108.24/108.52
% 108.24/108.52 Low Water (keep): wt=23.000, iters=3360
% 108.24/108.52
% 108.24/108.52 Low Water (displace): id=30009, wt=18.000
% 108.82/109.16
% 108.82/109.16 Low Water (displace): id=30379, wt=16.000
% 108.82/109.16
% 108.82/109.16 ============================== PROOF =================================
% 108.82/109.16 % SZS status Unsatisfiable
% 108.82/109.16 % SZS output start Refutation
% 108.82/109.16
% 108.82/109.16 % Proof 1 at 99.84 (+ 8.34) seconds: prove_c0_1.
% 108.82/109.16 % Length of proof is 142.
% 108.82/109.16 % Level of proof is 55.
% 108.82/109.16 % Maximum clause weight is 27.000.
% 108.82/109.16 % Given clauses 6038.
% 108.82/109.16
% 108.82/109.16 1 ifeq(A,A,B,C) = B # label(ifeq_axiom) # label(axiom). [assumption].
% 108.82/109.16 2 ifeq(is_a_theorem(implies(A,B)),true,ifeq(is_a_theorem(A),true,is_a_theorem(B),true),true) = true # label(condensed_detachment) # label(axiom). [assumption].
% 108.82/109.16 3 is_a_theorem(implies(implies(implies(A,B),C),implies(implies(C,A),implies(D,A)))) = true # label(ic_JLukasiewicz) # label(axiom). [assumption].
% 108.82/109.16 4 is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c)))) != true # label(prove_c0_1) # label(negated_conjecture) # answer(prove_c0_1). [assumption].
% 108.82/109.16 5 ifeq(is_a_theorem(implies(implies(A,B),C)),true,is_a_theorem(implies(implies(C,A),implies(D,A))),true) = true. [para(3(a,1),2(a,1,1)),rewrite([1(14)])].
% 108.82/109.16 6 ifeq(is_a_theorem(implies(implies(implies(implies(A,B),C),implies(implies(C,A),implies(D,A))),E)),true,is_a_theorem(E),true) = true. [para(3(a,1),2(a,1,3,1)),rewrite([1(14)])].
% 108.82/109.16 8 is_a_theorem(implies(implies(implies(implies(A,B),implies(C,B)),implies(B,D)),implies(E,implies(B,D)))) = true. [para(3(a,1),5(a,1,1)),rewrite([1(13)])].
% 108.82/109.16 10 ifeq(is_a_theorem(implies(implies(implies(A,B),implies(C,B)),implies(B,D))),true,is_a_theorem(implies(E,implies(B,D))),true) = true. [para(8(a,1),2(a,1,1)),rewrite([1(16)])].
% 108.82/109.16 11 ifeq(is_a_theorem(implies(implies(implies(implies(implies(A,B),implies(C,B)),implies(B,D)),implies(E,implies(B,D))),F)),true,is_a_theorem(F),true) = true. [para(8(a,1),2(a,1,3,1)),rewrite([1(16)])].
% 108.82/109.16 13 is_a_theorem(implies(implies(implies(A,implies(B,C)),implies(implies(D,B),implies(E,B))),implies(F,implies(implies(D,B),implies(E,B))))) = true. [para(8(a,1),5(a,1,1)),rewrite([1(16)])].
% 108.82/109.16 21 is_a_theorem(implies(A,implies(implies(B,C),implies(C,implies(B,C))))) = true. [para(8(a,1),10(a,1,1)),rewrite([1(10)])].
% 108.82/109.16 27 is_a_theorem(implies(implies(A,B),implies(B,implies(A,B)))) = true. [para(21(a,1),6(a,1,1)),rewrite([1(9)])].
% 108.82/109.16 33 is_a_theorem(implies(implies(implies(A,implies(B,A)),B),implies(C,B))) = true. [para(27(a,1),5(a,1,1)),rewrite([1(10)])].
% 108.82/109.16 37 ifeq(is_a_theorem(implies(implies(implies(implies(A,implies(B,A)),B),implies(C,B)),D)),true,is_a_theorem(D),true) = true. [para(33(a,1),2(a,1,3,1)),rewrite([1(13)])].
% 108.82/109.16 49 is_a_theorem(implies(implies(implies(A,implies(implies(B,C),implies(D,C))),implies(E,implies(C,F))),implies(V6,implies(E,implies(C,F))))) = true. [para(13(a,1),5(a,1,1)),rewrite([1(16)])].
% 108.82/109.16 52 is_a_theorem(implies(A,implies(implies(B,C),implies(C,C)))) = true. [para(13(a,1),11(a,1,1)),rewrite([1(9)])].
% 108.82/109.16 57 is_a_theorem(implies(implies(A,B),implies(B,B))) = true. [para(52(a,1),6(a,1,1)),rewrite([1(8)])].
% 108.82/109.16 61 is_a_theorem(implies(implies(implies(A,A),B),implies(C,B))) = true. [para(57(a,1),5(a,1,1)),rewrite([1(9)])].
% 108.82/109.16 65 ifeq(is_a_theorem(implies(implies(implies(implies(A,A),B),implies(C,B)),D)),true,is_a_theorem(D),true) = true. [para(61(a,1),2(a,1,3,1)),rewrite([1(12)])].
% 108.82/109.16 67 is_a_theorem(implies(A,implies(B,implies(C,B)))) = true. [para(61(a,1),10(a,1,1)),rewrite([1(8)])].
% 108.82/109.16 72 is_a_theorem(implies(A,implies(B,A))) = true. [para(67(a,1),6(a,1,1)),rewrite([1(7)])].
% 108.82/109.16 73 is_a_theorem(implies(implies(A,B),implies(A,B))) = true. [para(57(a,1),37(a,1,1)),rewrite([1(8)])].
% 108.82/109.16 74 ifeq(is_a_theorem(A),true,is_a_theorem(implies(B,A)),true) = true. [para(72(a,1),2(a,1,1)),rewrite([1(10)])].
% 108.82/109.16 76 is_a_theorem(implies(implies(implies(A,implies(B,C)),B),implies(D,B))) = true. [para(72(a,1),5(a,1,1)),rewrite([1(10)])].
% 108.82/109.16 82 is_a_theorem(implies(implies(implies(A,B),A),implies(C,A))) = true. [para(73(a,1),5(a,1,1)),rewrite([1(9)])].
% 108.82/109.16 89 ifeq(is_a_theorem(implies(implies(implies(implies(A,B),A),implies(C,A)),D)),true,is_a_theorem(D),true) = true. [para(82(a,1),2(a,1,3,1)),rewrite([1(12)])].
% 108.82/109.16 90 is_a_theorem(implies(implies(implies(A,B),implies(B,C)),implies(D,implies(B,C)))) = true. [para(82(a,1),5(a,1,1)),rewrite([1(11)])].
% 108.82/109.16 106 ifeq(is_a_theorem(implies(implies(implies(implies(A,implies(B,C)),B),implies(D,B)),E)),true,is_a_theorem(E),true) = true. [para(76(a,1),2(a,1,3,1)),rewrite([1(13)])].
% 108.82/109.16 141 is_a_theorem(implies(A,implies(implies(implies(implies(B,C),implies(D,C)),E),implies(C,E)))) = true. [para(49(a,1),6(a,1,1)),rewrite([1(12)])].
% 108.82/109.16 166 is_a_theorem(implies(implies(implies(A,implies(B,C)),implies(D,B)),implies(E,implies(D,B)))) = true. [para(90(a,1),5(a,1,1)),rewrite([1(12)])].
% 108.82/109.16 241 is_a_theorem(implies(implies(implies(implies(A,B),implies(C,B)),D),implies(B,D))) = true. [para(141(a,1),6(a,1,1)),rewrite([1(11)])].
% 108.82/109.16 247 is_a_theorem(implies(A,implies(implies(implies(B,A),C),implies(D,C)))) = true. [para(241(a,1),6(a,1,1)),rewrite([1(10)])].
% 108.82/109.16 248 is_a_theorem(implies(A,implies(B,implies(C,A)))) = true. [para(241(a,1),65(a,1,1)),rewrite([1(8)])].
% 108.82/109.16 252 ifeq(is_a_theorem(implies(implies(A,implies(B,implies(C,A))),D)),true,is_a_theorem(D),true) = true. [para(248(a,1),2(a,1,3,1)),rewrite([1(11)])].
% 108.82/109.16 253 is_a_theorem(implies(implies(implies(A,implies(B,implies(C,D))),C),implies(E,C))) = true. [para(248(a,1),5(a,1,1)),rewrite([1(11)])].
% 108.82/109.16 279 ifeq(is_a_theorem(implies(implies(A,implies(implies(implies(B,A),C),implies(D,C))),E)),true,is_a_theorem(E),true) = true. [para(247(a,1),2(a,1,3,1)),rewrite([1(13)])].
% 108.82/109.16 400 is_a_theorem(implies(A,implies(implies(implies(implies(B,C),D),C),implies(B,C)))) = true. [para(166(a,1),6(a,1,1)),rewrite([1(11)])].
% 108.82/109.16 409 is_a_theorem(implies(implies(implies(implies(A,B),C),B),implies(A,B))) = true. [para(400(a,1),6(a,1,1)),rewrite([1(10)])].
% 108.82/109.16 416 is_a_theorem(implies(implies(implies(A,B),implies(implies(A,B),C)),implies(D,implies(implies(A,B),C)))) = true. [para(409(a,1),5(a,1,1)),rewrite([1(13)])].
% 108.82/109.16 914 is_a_theorem(implies(A,implies(implies(implies(B,C),B),B))) = true. [para(416(a,1),89(a,1,1)),rewrite([1(9)])].
% 108.82/109.16 917 is_a_theorem(implies(A,implies(implies(implies(B,implies(C,D)),C),C))) = true. [para(416(a,1),106(a,1,1)),rewrite([1(10)])].
% 108.82/109.16 942 is_a_theorem(implies(implies(implies(A,B),A),A)) = true. [para(914(a,1),6(a,1,1)),rewrite([1(8)])].
% 108.82/109.16 951 is_a_theorem(implies(implies(A,implies(A,B)),implies(C,implies(A,B)))) = true. [para(942(a,1),5(a,1,1)),rewrite([1(10)])].
% 108.82/109.16 970 is_a_theorem(implies(implies(implies(A,implies(B,C)),B),B)) = true. [para(917(a,1),6(a,1,1)),rewrite([1(9)])].
% 108.82/109.16 979 is_a_theorem(implies(implies(A,implies(B,implies(A,C))),implies(D,implies(B,implies(A,C))))) = true. [para(970(a,1),5(a,1,1)),rewrite([1(12)])].
% 108.82/109.16 1007 ifeq(is_a_theorem(implies(A,implies(A,B))),true,is_a_theorem(implies(C,implies(A,B))),true) = true. [para(951(a,1),2(a,1,1)),rewrite([1(13)])].
% 108.82/109.16 1008 ifeq(is_a_theorem(implies(implies(implies(A,implies(A,B)),implies(C,implies(A,B))),D)),true,is_a_theorem(D),true) = true. [para(951(a,1),2(a,1,3,1)),rewrite([1(13)])].
% 108.82/109.16 1158 is_a_theorem(implies(A,implies(implies(B,implies(B,C)),implies(B,C)))) = true. [para(951(a,1),1007(a,1,1)),rewrite([1(10)])].
% 108.82/109.16 1166 is_a_theorem(implies(implies(A,implies(A,B)),implies(A,B))) = true. [para(1158(a,1),6(a,1,1)),rewrite([1(9)])].
% 108.82/109.16 1173 ifeq(is_a_theorem(implies(A,implies(A,B))),true,is_a_theorem(implies(A,B)),true) = true. [para(1166(a,1),2(a,1,1)),rewrite([1(12)])].
% 108.82/109.16 1183 is_a_theorem(implies(implies(implies(A,implies(B,implies(C,D))),C),C)) = true. [para(253(a,1),1173(a,1,1)),rewrite([1(10)])].
% 108.82/109.16 1211 is_a_theorem(implies(implies(A,implies(B,implies(C,implies(A,D)))),implies(E,implies(B,implies(C,implies(A,D)))))) = true. [para(1183(a,1),5(a,1,1)),rewrite([1(14)])].
% 108.82/109.16 1422 is_a_theorem(implies(A,implies(implies(B,C),implies(implies(implies(C,D),B),C)))) = true. [para(979(a,1),6(a,1,1)),rewrite([1(11)])].
% 108.82/109.16 1429 is_a_theorem(implies(implies(A,implies(B,implies(A,C))),implies(B,implies(A,C)))) = true. [para(979(a,1),1173(a,1,1)),rewrite([1(11)])].
% 108.82/109.16 1433 is_a_theorem(implies(implies(A,B),implies(implies(implies(B,C),A),B))) = true. [para(1422(a,1),6(a,1,1)),rewrite([1(10)])].
% 108.82/109.16 1440 ifeq(is_a_theorem(implies(A,B)),true,is_a_theorem(implies(implies(implies(B,C),A),B)),true) = true. [para(1433(a,1),2(a,1,1)),rewrite([1(13)])].
% 108.82/109.16 1441 ifeq(is_a_theorem(implies(implies(implies(A,B),implies(implies(implies(B,C),A),B)),D)),true,is_a_theorem(D),true) = true. [para(1433(a,1),2(a,1,3,1)),rewrite([1(13)])].
% 108.82/109.16 1446 is_a_theorem(implies(implies(implies(implies(A,B),C),implies(implies(D,D),B)),implies(A,B))) = true. [para(1433(a,1),65(a,1,1)),rewrite([1(12)])].
% 108.82/109.16 1447 is_a_theorem(implies(implies(implies(implies(A,B),C),implies(implies(B,D),B)),implies(A,B))) = true. [para(1433(a,1),89(a,1,1)),rewrite([1(12)])].
% 108.82/109.16 1450 is_a_theorem(implies(implies(implies(implies(A,implies(B,C)),D),C),implies(A,implies(B,C)))) = true. [para(1433(a,1),252(a,1,1)),rewrite([1(12)])].
% 108.82/109.16 1489 ifeq(is_a_theorem(implies(A,implies(B,implies(A,C)))),true,is_a_theorem(implies(B,implies(A,C))),true) = true. [para(1429(a,1),2(a,1,1)),rewrite([1(14)])].
% 108.82/109.16 1909 is_a_theorem(implies(implies(implies(A,B),C),implies(B,C))) = true. [para(1429(a,1),279(a,1,1)),rewrite([1(9)])].
% 108.82/109.16 1913 is_a_theorem(implies(A,implies(implies(A,B),implies(C,B)))) = true. [para(1909(a,1),6(a,1,1)),rewrite([1(9)])].
% 108.82/109.16 1917 is_a_theorem(implies(implies(implies(implies(A,B),C),implies(implies(D,A),B)),implies(A,B))) = true. [para(1909(a,1),1440(a,1,1)),rewrite([1(12)])].
% 108.82/109.16 1921 ifeq(is_a_theorem(implies(implies(A,implies(implies(A,B),implies(C,B))),D)),true,is_a_theorem(D),true) = true. [para(1913(a,1),2(a,1,3,1)),rewrite([1(12)])].
% 108.82/109.16 1922 is_a_theorem(implies(implies(implies(implies(implies(A,B),C),implies(D,C)),A),implies(E,A))) = true. [para(1913(a,1),5(a,1,1)),rewrite([1(12)])].
% 108.82/109.16 1923 is_a_theorem(implies(A,implies(B,implies(implies(B,C),implies(D,C))))) = true. [para(1913(a,1),74(a,1,1)),rewrite([1(10)])].
% 108.82/109.16 1928 is_a_theorem(implies(implies(implies(implies(implies(A,B),implies(C,B)),D),A),implies(implies(A,B),implies(C,B)))) = true. [para(1913(a,1),1440(a,1,1)),rewrite([1(14)])].
% 108.82/109.16 1936 is_a_theorem(implies(implies(implies(A,implies(implies(A,B),implies(C,B))),D),implies(E,D))) = true. [para(1923(a,1),5(a,1,1)),rewrite([1(12)])].
% 108.82/109.16 2383 ifeq(is_a_theorem(implies(implies(implies(A,B),C),implies(implies(D,D),B))),true,is_a_theorem(implies(A,B)),true) = true. [para(1446(a,1),2(a,1,1)),rewrite([1(15)])].
% 108.82/109.16 2391 ifeq(is_a_theorem(implies(implies(implies(A,B),C),implies(implies(B,D),B))),true,is_a_theorem(implies(A,B)),true) = true. [para(1447(a,1),2(a,1,1)),rewrite([1(15)])].
% 108.82/109.16 2401 ifeq(is_a_theorem(implies(implies(implies(A,implies(B,C)),D),C)),true,is_a_theorem(implies(A,implies(B,C))),true) = true. [para(1450(a,1),2(a,1,1)),rewrite([1(15)])].
% 108.82/109.16 2626 ifeq(is_a_theorem(implies(implies(implies(A,B),C),implies(implies(D,A),B))),true,is_a_theorem(implies(A,B)),true) = true. [para(1917(a,1),2(a,1,1)),rewrite([1(15)])].
% 108.82/109.16 2656 is_a_theorem(implies(implies(implies(implies(implies(A,B),C),implies(D,C)),A),A)) = true. [para(1922(a,1),1173(a,1,1)),rewrite([1(11)])].
% 108.82/109.16 2663 is_a_theorem(implies(implies(A,implies(implies(implies(A,B),C),implies(D,C))),implies(E,implies(implies(implies(A,B),C),implies(D,C))))) = true. [para(2656(a,1),5(a,1,1)),rewrite([1(16)])].
% 108.82/109.16 2712 is_a_theorem(implies(implies(implies(A,implies(implies(A,B),implies(C,B))),D),D)) = true. [para(1936(a,1),1173(a,1,1)),rewrite([1(11)])].
% 108.82/109.16 2721 is_a_theorem(implies(implies(implies(A,B),implies(implies(C,implies(implies(C,D),implies(E,D))),A)),A)) = true. [para(2712(a,1),1440(a,1,1)),rewrite([1(13)])].
% 108.82/109.16 4888 ifeq(is_a_theorem(implies(implies(A,B),implies(implies(C,implies(implies(C,D),implies(E,D))),A))),true,is_a_theorem(A),true) = true. [para(2721(a,1),2(a,1,1)),rewrite([1(16)])].
% 108.82/109.16 5360 is_a_theorem(implies(implies(implies(implies(implies(implies(A,B),C),implies(A,B)),D),B),implies(A,B))) = true. [para(2656(a,1),2391(a,1,1)),rewrite([1(13)])].
% 108.82/109.16 5418 is_a_theorem(implies(implies(implies(implies(implies(A,A),B),C),implies(implies(A,A),B)),B)) = true. [para(5360(a,1),2383(a,1,1)),rewrite([1(12)])].
% 108.82/109.16 5419 is_a_theorem(implies(implies(implies(implies(implies(A,B),A),C),implies(implies(A,B),A)),A)) = true. [para(5360(a,1),2391(a,1,1)),rewrite([1(12)])].
% 108.82/109.16 5422 is_a_theorem(implies(implies(A,implies(implies(implies(B,B),A),C)),implies(D,implies(implies(implies(B,B),A),C)))) = true. [para(5418(a,1),5(a,1,1)),rewrite([1(14)])].
% 108.82/109.16 5434 is_a_theorem(implies(implies(A,implies(implies(implies(A,B),A),C)),implies(D,implies(implies(implies(A,B),A),C)))) = true. [para(5419(a,1),5(a,1,1)),rewrite([1(14)])].
% 108.82/109.16 6587 is_a_theorem(implies(implies(A,implies(B,implies(C,implies(A,D)))),implies(B,implies(C,implies(A,D))))) = true. [para(1211(a,1),1173(a,1,1)),rewrite([1(13)])].
% 108.82/109.16 6596 ifeq(is_a_theorem(implies(A,implies(B,implies(C,implies(A,D))))),true,is_a_theorem(implies(B,implies(C,implies(A,D)))),true) = true. [para(6587(a,1),2(a,1,1)),rewrite([1(16)])].
% 108.82/109.16 9230 is_a_theorem(implies(implies(implies(A,implies(implies(implies(B,B),C),D)),C),implies(E,C))) = true. [para(5422(a,1),5(a,1,1)),rewrite([1(12)])].
% 108.82/109.16 9297 is_a_theorem(implies(implies(implies(A,implies(implies(implies(B,B),C),D)),C),C)) = true. [para(9230(a,1),1173(a,1,1)),rewrite([1(11)])].
% 108.82/109.16 9307 ifeq(is_a_theorem(implies(implies(implies(implies(A,implies(implies(implies(B,B),C),D)),C),C),E)),true,is_a_theorem(E),true) = true. [para(9297(a,1),2(a,1,3,1)),rewrite([1(14)])].
% 108.82/109.16 9823 is_a_theorem(implies(implies(implies(A,implies(implies(implies(B,C),B),D)),B),implies(E,B))) = true. [para(5434(a,1),5(a,1,1)),rewrite([1(12)])].
% 108.82/109.16 9871 is_a_theorem(implies(implies(implies(A,implies(implies(implies(B,C),B),D)),B),B)) = true. [para(9823(a,1),1173(a,1,1)),rewrite([1(11)])].
% 108.82/109.16 9879 ifeq(is_a_theorem(implies(implies(implies(implies(A,implies(implies(implies(B,C),B),D)),B),B),E)),true,is_a_theorem(E),true) = true. [para(9871(a,1),2(a,1,3,1)),rewrite([1(14)])].
% 108.82/109.16 12558 is_a_theorem(implies(implies(A,B),implies(implies(implies(C,C),A),B))) = true. [para(1928(a,1),9307(a,1,1)),rewrite([1(10)])].
% 108.82/109.16 12592 is_a_theorem(implies(implies(implies(A,A),implies(B,C)),implies(implies(implies(C,D),B),C))) = true. [para(12558(a,1),1441(a,1,1)),rewrite([1(12)])].
% 108.82/109.16 13464 ifeq(is_a_theorem(implies(implies(A,A),implies(B,C))),true,is_a_theorem(implies(implies(implies(C,D),B),C)),true) = true. [para(12592(a,1),2(a,1,1)),rewrite([1(15)])].
% 108.82/109.16 15029 is_a_theorem(implies(implies(A,B),implies(implies(implies(A,C),A),B))) = true. [para(1928(a,1),9879(a,1,1)),rewrite([1(10)])].
% 108.82/109.16 15033 ifeq(is_a_theorem(implies(A,B)),true,is_a_theorem(implies(implies(implies(A,C),A),B)),true) = true. [para(15029(a,1),2(a,1,1)),rewrite([1(13)])].
% 108.82/109.16 15049 is_a_theorem(implies(implies(implies(A,B),A),implies(implies(A,C),implies(D,C)))) = true. [para(15029(a,1),1921(a,1,1)),rewrite([1(11)])].
% 108.82/109.16 15100 is_a_theorem(implies(implies(implies(implies(A,B),implies(C,B)),implies(A,D)),implies(E,implies(A,D)))) = true. [para(15049(a,1),5(a,1,1)),rewrite([1(13)])].
% 108.82/109.16 15109 is_a_theorem(implies(A,implies(B,implies(implies(A,C),implies(D,C))))) = true. [para(15049(a,1),2401(a,1,1)),rewrite([1(10)])].
% 108.82/109.16 15115 ifeq(is_a_theorem(implies(implies(A,implies(B,implies(implies(A,C),implies(D,C)))),E)),true,is_a_theorem(E),true) = true. [para(15109(a,1),2(a,1,3,1)),rewrite([1(13)])].
% 108.82/109.16 15608 is_a_theorem(implies(implies(implies(implies(A,B),implies(C,B)),implies(A,D)),implies(A,D))) = true. [para(15100(a,1),1173(a,1,1)),rewrite([1(12)])].
% 108.82/109.16 15609 is_a_theorem(implies(A,implies(B,implies(implies(B,C),C)))) = true. [para(15100(a,1),1008(a,1,1)),rewrite([1(9)])].
% 108.82/109.16 15627 is_a_theorem(implies(A,implies(implies(A,B),B))) = true. [para(15609(a,1),6(a,1,1)),rewrite([1(8)])].
% 108.82/109.16 15635 is_a_theorem(implies(A,implies(implies(implies(B,A),C),C))) = true. [para(15609(a,1),2626(a,1,1)),rewrite([1(9)])].
% 108.82/109.16 15639 is_a_theorem(implies(implies(implies(implies(implies(A,B),B),C),A),implies(implies(A,B),B))) = true. [para(15609(a,1),13464(a,1,1)),rewrite([1(12)])].
% 108.82/109.16 15663 is_a_theorem(implies(implies(implies(A,B),A),implies(implies(A,C),C))) = true. [para(15627(a,1),15033(a,1,1)),rewrite([1(10)])].
% 108.82/109.16 15671 ifeq(is_a_theorem(implies(implies(A,implies(implies(implies(B,A),C),C)),D)),true,is_a_theorem(D),true) = true. [para(15635(a,1),2(a,1,3,1)),rewrite([1(12)])].
% 108.82/109.16 16493 is_a_theorem(implies(implies(implies(implies(A,B),B),implies(A,C)),implies(D,implies(A,C)))) = true. [para(15663(a,1),5(a,1,1)),rewrite([1(12)])].
% 108.82/109.16 17644 ifeq(is_a_theorem(implies(implies(implies(implies(A,B),B),C),A)),true,is_a_theorem(implies(implies(A,B),B)),true) = true. [para(15639(a,1),2(a,1,1)),rewrite([1(15)])].
% 108.82/109.16 17852 is_a_theorem(implies(implies(implies(implies(A,B),B),implies(A,C)),implies(A,C))) = true. [para(16493(a,1),1173(a,1,1)),rewrite([1(11)])].
% 108.82/109.16 17865 ifeq(is_a_theorem(implies(implies(implies(A,B),B),implies(A,C))),true,is_a_theorem(implies(A,C)),true) = true. [para(17852(a,1),2(a,1,1)),rewrite([1(14)])].
% 108.82/109.16 18851 is_a_theorem(implies(A,implies(implies(implies(implies(A,B),B),C),implies(D,C)))) = true. [para(15109(a,1),17865(a,1,1)),rewrite([1(11)])].
% 108.82/109.16 18957 is_a_theorem(implies(implies(implies(implies(A,B),B),C),implies(A,C))) = true. [para(18851(a,1),1489(a,1,1)),rewrite([1(10)])].
% 108.82/109.16 18985 ifeq(is_a_theorem(implies(implies(implies(A,B),B),C)),true,is_a_theorem(implies(A,C)),true) = true. [para(18957(a,1),2(a,1,1)),rewrite([1(13)])].
% 108.82/109.16 18987 is_a_theorem(implies(implies(implies(A,B),implies(implies(A,C),C)),implies(D,implies(implies(A,C),C)))) = true. [para(18957(a,1),5(a,1,1)),rewrite([1(13)])].
% 108.82/109.16 20380 is_a_theorem(implies(implies(implies(A,B),implies(implies(A,C),C)),implies(implies(A,C),C))) = true. [para(18987(a,1),1173(a,1,1)),rewrite([1(12)])].
% 108.82/109.16 20384 ifeq(is_a_theorem(implies(implies(A,B),implies(implies(A,C),C))),true,is_a_theorem(implies(implies(A,C),C)),true) = true. [para(20380(a,1),2(a,1,1)),rewrite([1(15)])].
% 108.82/109.16 20864 is_a_theorem(implies(A,implies(implies(implies(implies(A,B),implies(C,B)),D),implies(E,D)))) = true. [para(15608(a,1),15115(a,1,1)),rewrite([1(12)])].
% 108.82/109.16 20872 is_a_theorem(implies(implies(implies(implies(A,B),implies(C,B)),D),implies(A,D))) = true. [para(20864(a,1),1489(a,1,1)),rewrite([1(11)])].
% 108.82/109.16 20906 is_a_theorem(implies(implies(A,B),implies(A,implies(C,B)))) = true. [para(20872(a,1),18985(a,1,1)),rewrite([1(9)])].
% 108.82/109.16 20911 ifeq(is_a_theorem(implies(implies(implies(A,B),implies(A,implies(C,B))),D)),true,is_a_theorem(D),true) = true. [para(20906(a,1),2(a,1,3,1)),rewrite([1(12)])].
% 108.82/109.16 24550 is_a_theorem(implies(A,implies(implies(implies(B,C),implies(D,E)),implies(implies(B,E),implies(D,E))))) = true. [para(2663(a,1),15115(a,1,1)),rewrite([1(13)])].
% 108.82/109.16 24672 is_a_theorem(implies(implies(implies(A,B),implies(C,D)),implies(implies(A,D),implies(C,D)))) = true. [para(24550(a,1),6(a,1,1)),rewrite([1(12)])].
% 108.82/109.16 24674 is_a_theorem(implies(implies(A,implies(B,C)),implies(implies(implies(A,D),C),implies(B,C)))) = true. [para(24550(a,1),4888(a,1,1)),rewrite([1(12)])].
% 108.82/109.16 24679 is_a_theorem(implies(implies(A,implies(B,C)),implies(implies(implies(D,implies(A,E)),C),implies(B,C)))) = true. [para(24672(a,1),279(a,1,1)),rewrite([1(13)])].
% 108.82/109.16 24684 is_a_theorem(implies(implies(A,B),implies(implies(implies(C,implies(A,D)),B),B))) = true. [para(24672(a,1),15671(a,1,1)),rewrite([1(11)])].
% 108.82/109.16 24803 is_a_theorem(implies(A,implies(implies(implies(B,implies(implies(A,C),D)),C),C))) = true. [para(24684(a,1),18985(a,1,1)),rewrite([1(11)])].
% 108.82/109.16 24845 is_a_theorem(implies(implies(implies(A,B),A),implies(implies(implies(C,implies(implies(A,D),E)),D),D))) = true. [para(24803(a,1),15033(a,1,1)),rewrite([1(13)])].
% 108.82/109.16 25006 is_a_theorem(implies(implies(implies(A,B),C),implies(implies(implies(D,A),C),C))) = true. [para(24674(a,1),15671(a,1,1)),rewrite([1(11)])].
% 108.82/109.16 25022 ifeq(is_a_theorem(implies(implies(A,B),C)),true,is_a_theorem(implies(implies(implies(D,A),C),C)),true) = true. [para(25006(a,1),2(a,1,1)),rewrite([1(14)])].
% 108.82/109.16 25280 is_a_theorem(implies(implies(implies(A,implies(implies(B,C),D)),implies(E,C)),implies(B,implies(E,C)))) = true. [para(24679(a,1),20911(a,1,1)),rewrite([1(13)])].
% 108.82/109.16 25640 is_a_theorem(implies(implies(implies(A,implies(B,C)),implies(implies(A,C),D)),implies(implies(A,C),D))) = true. [para(25280(a,1),17644(a,1,1)),rewrite([1(13)])].
% 108.82/109.16 25644 is_a_theorem(implies(implies(A,B),implies(implies(implies(A,implies(C,B)),D),implies(E,D)))) = true. [para(25640(a,1),15115(a,1,1)),rewrite([1(12)])].
% 108.82/109.16 25695 is_a_theorem(implies(implies(implies(A,implies(B,C)),D),implies(implies(A,C),D))) = true. [para(25644(a,1),1489(a,1,1)),rewrite([1(11)])].
% 108.82/109.16 25704 ifeq(is_a_theorem(implies(implies(A,implies(B,C)),D)),true,is_a_theorem(implies(implies(A,C),D)),true) = true. [para(25695(a,1),2(a,1,1)),rewrite([1(14)])].
% 108.82/109.16 27198 is_a_theorem(implies(implies(implies(A,implies(implies(A,B),C)),B),B)) = true. [para(24845(a,1),20384(a,1,1)),rewrite([1(10)])].
% 108.82/109.16 27237 is_a_theorem(implies(implies(implies(A,implies(B,implies(implies(B,C),D))),C),C)) = true. [para(27198(a,1),25022(a,1,1)),rewrite([1(11)])].
% 108.82/109.16 27282 is_a_theorem(implies(implies(A,implies(B,implies(implies(B,A),C))),implies(B,implies(implies(B,A),C)))) = true. [para(27237(a,1),17644(a,1,1)),rewrite([1(13)])].
% 108.82/109.16 28602 is_a_theorem(implies(implies(A,implies(implies(B,A),C)),implies(B,implies(implies(B,A),C)))) = true. [para(27282(a,1),25704(a,1,1)),rewrite([1(12)])].
% 108.82/109.16 29987 is_a_theorem(implies(A,implies(implies(A,B),implies(implies(B,C),implies(D,C))))) = true. [para(28602(a,1),15115(a,1,1)),rewrite([1(11)])].
% 108.82/109.16 30932 is_a_theorem(implies(implies(A,B),implies(implies(B,C),implies(A,C)))) = true. [para(29987(a,1),6596(a,1,1)),rewrite([1(10)])].
% 108.82/109.16 30933 $F # answer(prove_c0_1). [resolve(30932,a,4,a)].
% 108.82/109.16
% 108.82/109.16 % SZS output end Refutation
% 108.82/109.16 ============================== end of proof ==========================
% 108.82/109.16
% 108.82/109.16 ============================== STATISTICS ============================
% 108.82/109.16
% 108.82/109.16 Given=6038. Generated=16432746. Kept=30932. proofs=1.
% 108.82/109.16 Usable=5937. Sos=9999. Demods=15978. Limbo=43, Disabled=14956. Hints=0.
% 108.82/109.16 Megabytes=27.65.
% 108.82/109.16 User_CPU=99.85, System_CPU=8.34, Wall_clock=108.
% 108.82/109.16
% 108.82/109.16 ============================== end of statistics =====================
% 108.82/109.16
% 108.82/109.16 ============================== end of search =========================
% 108.82/109.16
% 108.82/109.16 THEOREM PROVED
% 108.82/109.16 % SZS status Unsatisfiable
% 108.82/109.16
% 108.82/109.16 Exiting with 1 proof.
% 108.82/109.16
% 108.82/109.16 Process 24769 exit (max_proofs) Sun Jul 3 09:02:54 2022
% 108.82/109.16 Prover9 interrupted
%------------------------------------------------------------------------------