TSTP Solution File: LCL016-1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : LCL016-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n029.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 13:43:25 EDT 2022
% Result : Unsatisfiable 3.85s 4.12s
% Output : Refutation 3.85s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : LCL016-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.14/0.35 % Computer : n029.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Mon Jul 4 19:19:11 EDT 2022
% 0.14/0.35 % CPUTime :
% 3.85/4.12 ============================== Prover9 ===============================
% 3.85/4.12 Prover9 (32) version 2009-11A, November 2009.
% 3.85/4.12 Process 3964 was started by sandbox2 on n029.cluster.edu,
% 3.85/4.12 Mon Jul 4 19:19:12 2022
% 3.85/4.12 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_3811_n029.cluster.edu".
% 3.85/4.12 ============================== end of head ===========================
% 3.85/4.12
% 3.85/4.12 ============================== INPUT =================================
% 3.85/4.12
% 3.85/4.12 % Reading from file /tmp/Prover9_3811_n029.cluster.edu
% 3.85/4.12
% 3.85/4.12 set(prolog_style_variables).
% 3.85/4.12 set(auto2).
% 3.85/4.12 % set(auto2) -> set(auto).
% 3.85/4.12 % set(auto) -> set(auto_inference).
% 3.85/4.12 % set(auto) -> set(auto_setup).
% 3.85/4.12 % set(auto_setup) -> set(predicate_elim).
% 3.85/4.12 % set(auto_setup) -> assign(eq_defs, unfold).
% 3.85/4.12 % set(auto) -> set(auto_limits).
% 3.85/4.12 % set(auto_limits) -> assign(max_weight, "100.000").
% 3.85/4.12 % set(auto_limits) -> assign(sos_limit, 20000).
% 3.85/4.12 % set(auto) -> set(auto_denials).
% 3.85/4.12 % set(auto) -> set(auto_process).
% 3.85/4.12 % set(auto2) -> assign(new_constants, 1).
% 3.85/4.12 % set(auto2) -> assign(fold_denial_max, 3).
% 3.85/4.12 % set(auto2) -> assign(max_weight, "200.000").
% 3.85/4.12 % set(auto2) -> assign(max_hours, 1).
% 3.85/4.12 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 3.85/4.12 % set(auto2) -> assign(max_seconds, 0).
% 3.85/4.12 % set(auto2) -> assign(max_minutes, 5).
% 3.85/4.12 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 3.85/4.12 % set(auto2) -> set(sort_initial_sos).
% 3.85/4.12 % set(auto2) -> assign(sos_limit, -1).
% 3.85/4.12 % set(auto2) -> assign(lrs_ticks, 3000).
% 3.85/4.12 % set(auto2) -> assign(max_megs, 400).
% 3.85/4.12 % set(auto2) -> assign(stats, some).
% 3.85/4.12 % set(auto2) -> clear(echo_input).
% 3.85/4.12 % set(auto2) -> set(quiet).
% 3.85/4.12 % set(auto2) -> clear(print_initial_clauses).
% 3.85/4.12 % set(auto2) -> clear(print_given).
% 3.85/4.12 assign(lrs_ticks,-1).
% 3.85/4.12 assign(sos_limit,10000).
% 3.85/4.12 assign(order,kbo).
% 3.85/4.12 set(lex_order_vars).
% 3.85/4.12 clear(print_given).
% 3.85/4.12
% 3.85/4.12 % formulas(sos). % not echoed (3 formulas)
% 3.85/4.12
% 3.85/4.12 ============================== end of input ==========================
% 3.85/4.12
% 3.85/4.12 % From the command line: assign(max_seconds, 300).
% 3.85/4.12
% 3.85/4.12 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 3.85/4.12
% 3.85/4.12 % Formulas that are not ordinary clauses:
% 3.85/4.12
% 3.85/4.12 ============================== end of process non-clausal formulas ===
% 3.85/4.12
% 3.85/4.12 ============================== PROCESS INITIAL CLAUSES ===============
% 3.85/4.12
% 3.85/4.12 ============================== PREDICATE ELIMINATION =================
% 3.85/4.12
% 3.85/4.12 ============================== end predicate elimination =============
% 3.85/4.12
% 3.85/4.12 Auto_denials:
% 3.85/4.12 % copying label prove_yrm to answer in negative clause
% 3.85/4.12
% 3.85/4.12 Term ordering decisions:
% 3.85/4.12 Function symbol KB weights: a=1. b=1. c=1. equivalent=1.
% 3.85/4.12
% 3.85/4.12 ============================== end of process initial clauses ========
% 3.85/4.12
% 3.85/4.12 ============================== CLAUSES FOR SEARCH ====================
% 3.85/4.12
% 3.85/4.12 ============================== end of clauses for search =============
% 3.85/4.12
% 3.85/4.12 ============================== SEARCH ================================
% 3.85/4.12
% 3.85/4.12 % Starting search at 0.01 seconds.
% 3.85/4.12
% 3.85/4.12 Low Water (keep): wt=48.000, iters=3355
% 3.85/4.12
% 3.85/4.12 Low Water (keep): wt=44.000, iters=3356
% 3.85/4.12
% 3.85/4.12 Low Water (keep): wt=40.000, iters=3346
% 3.85/4.12
% 3.85/4.12 Low Water (keep): wt=36.000, iters=3335
% 3.85/4.12
% 3.85/4.12 Low Water (keep): wt=32.000, iters=3408
% 3.85/4.12
% 3.85/4.12 Low Water (keep): wt=28.000, iters=3353
% 3.85/4.12
% 3.85/4.12 Low Water (keep): wt=24.000, iters=3396
% 3.85/4.12
% 3.85/4.12 Low Water (keep): wt=20.000, iters=3420
% 3.85/4.12
% 3.85/4.12 Low Water (displace): id=3171, wt=72.000
% 3.85/4.12
% 3.85/4.12 Low Water (displace): id=3187, wt=68.000
% 3.85/4.12
% 3.85/4.12 Low Water (displace): id=4712, wt=64.000
% 3.85/4.12
% 3.85/4.12 Low Water (displace): id=10297, wt=16.000
% 3.85/4.12
% 3.85/4.12 Low Water (displace): id=10588, wt=12.000
% 3.85/4.12
% 3.85/4.12 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 2147483647 (0.00 of 2.68 sec).
% 3.85/4.12
% 3.85/4.12 ============================== PROOF =================================
% 3.85/4.12 % SZS status Unsatisfiable
% 3.85/4.12 % SZS output start Refutation
% 3.85/4.12
% 3.85/4.12 % Proof 1 at 3.03 (+ 0.09) seconds: prove_yrm.
% 3.85/4.12 % Length of proof is 63.
% 3.85/4.12 % Level of proof is 26.
% 3.85/4.12 % Maximum clause weight is 40.000.
% 3.85/4.12 % Given clauses 583.
% 3.85/4.12
% 3.85/4.12 1 is_a_theorem(equivalent(equivalent(A,B),equivalent(C,equivalent(equivalent(C,B),A)))) # label(yro) # label(axiom). [assumption].
% 3.85/4.12 2 -is_a_theorem(equivalent(equivalent(a,b),equivalent(c,equivalent(equivalent(b,c),a)))) # label(prove_yrm) # label(negated_conjecture) # answer(prove_yrm). [assumption].
% 3.85/4.12 3 -is_a_theorem(equivalent(A,B)) | -is_a_theorem(A) | is_a_theorem(B) # label(condensed_detachment) # label(axiom). [assumption].
% 3.85/4.12 4 is_a_theorem(equivalent(A,equivalent(equivalent(A,equivalent(B,equivalent(equivalent(B,C),D))),equivalent(D,C)))). [hyper(3,a,1,a,b,1,a)].
% 3.85/4.12 5 is_a_theorem(equivalent(equivalent(equivalent(A,equivalent(equivalent(A,equivalent(B,equivalent(equivalent(B,C),D))),equivalent(D,C))),equivalent(E,equivalent(equivalent(E,F),V6))),equivalent(V6,F))). [hyper(3,a,4,a,b,4,a)].
% 3.85/4.12 6 is_a_theorem(equivalent(A,equivalent(equivalent(A,equivalent(equivalent(B,equivalent(C,equivalent(equivalent(C,D),E))),equivalent(E,D))),B))). [hyper(3,a,1,a,b,4,a)].
% 3.85/4.12 7 is_a_theorem(equivalent(equivalent(equivalent(equivalent(A,B),equivalent(C,equivalent(equivalent(C,B),A))),equivalent(D,equivalent(equivalent(D,E),F))),equivalent(F,E))). [hyper(3,a,4,a,b,1,a)].
% 3.85/4.12 13 is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(A,B),C),B),A),C)). [hyper(3,a,7,a,b,7,a)].
% 3.85/4.12 14 is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(A,B),equivalent(C,equivalent(equivalent(C,B),A))),equivalent(D,equivalent(equivalent(D,E),F))),equivalent(F,E)),equivalent(equivalent(V6,equivalent(V7,equivalent(equivalent(V7,V8),V9))),equivalent(V9,V8))),V6)). [hyper(3,a,6,a,b,7,a)].
% 3.85/4.12 18 is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(A,B),C),B),A),C),equivalent(D,equivalent(equivalent(D,E),F))),equivalent(F,E))). [hyper(3,a,4,a,b,13,a)].
% 3.85/4.12 19 is_a_theorem(equivalent(A,equivalent(equivalent(A,B),equivalent(equivalent(equivalent(equivalent(C,D),B),D),C)))). [hyper(3,a,1,a,b,13,a)].
% 3.85/4.12 28 is_a_theorem(equivalent(equivalent(equivalent(equivalent(A,B),equivalent(C,equivalent(equivalent(C,B),A))),D),equivalent(equivalent(equivalent(equivalent(E,F),D),F),E))). [hyper(3,a,19,a,b,1,a)].
% 3.85/4.12 64 is_a_theorem(equivalent(A,equivalent(equivalent(A,equivalent(B,C)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(D,E),F),E),D),F),equivalent(V6,equivalent(equivalent(V6,C),B)))))). [hyper(3,a,1,a,b,18,a)].
% 3.85/4.12 95 is_a_theorem(equivalent(equivalent(equivalent(equivalent(A,B),equivalent(equivalent(equivalent(equivalent(equivalent(C,D),E),D),C),E)),B),A)). [hyper(3,a,28,a,b,18,a)].
% 3.85/4.12 97 is_a_theorem(equivalent(equivalent(equivalent(equivalent(A,B),equivalent(equivalent(C,D),equivalent(E,equivalent(equivalent(E,D),C)))),B),A)). [hyper(3,a,28,a,b,7,a)].
% 3.85/4.12 110 is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(A,B),C),B),A),C),D),D)). [hyper(3,a,95,a,b,13,a)].
% 3.85/4.12 118 is_a_theorem(equivalent(equivalent(equivalent(equivalent(A,B),equivalent(C,equivalent(equivalent(C,B),A))),D),D)). [hyper(3,a,110,a,b,97,a)].
% 3.85/4.12 130 is_a_theorem(equivalent(equivalent(equivalent(equivalent(A,equivalent(equivalent(A,B),C)),D),equivalent(C,B)),D)). [hyper(3,a,97,a,b,5,a)].
% 3.85/4.12 141 is_a_theorem(equivalent(A,equivalent(equivalent(A,B),B))). [hyper(3,a,13,a,b,118,a)].
% 3.85/4.12 146 is_a_theorem(equivalent(equivalent(equivalent(A,equivalent(equivalent(A,B),B)),C),C)). [hyper(3,a,141,a,b,141,a)].
% 3.85/4.12 152 is_a_theorem(equivalent(A,equivalent(equivalent(A,equivalent(equivalent(B,C),C)),B))). [hyper(3,a,1,a,b,141,a)].
% 3.85/4.12 170 is_a_theorem(equivalent(equivalent(equivalent(A,B),A),B)). [hyper(3,a,95,a,b,146,a)].
% 3.85/4.12 174 is_a_theorem(equivalent(equivalent(equivalent(A,A),B),B)). [hyper(3,a,13,a,b,146,a)].
% 3.85/4.12 179 is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(A,B),A),B),C),C)). [hyper(3,a,141,a,b,170,a)].
% 3.85/4.12 185 is_a_theorem(equivalent(A,equivalent(equivalent(A,B),equivalent(equivalent(C,B),C)))). [hyper(3,a,1,a,b,170,a)].
% 3.85/4.12 210 is_a_theorem(equivalent(equivalent(equivalent(A,A),equivalent(equivalent(B,C),C)),B)). [hyper(3,a,174,a,b,152,a)].
% 3.85/4.12 213 is_a_theorem(equivalent(equivalent(equivalent(A,equivalent(equivalent(A,equivalent(equivalent(B,C),C)),B)),D),D)). [hyper(3,a,141,a,b,152,a)].
% 3.85/4.12 223 is_a_theorem(equivalent(A,equivalent(equivalent(A,equivalent(equivalent(B,equivalent(equivalent(C,D),D)),C)),B))). [hyper(3,a,1,a,b,152,a)].
% 3.85/4.12 267 is_a_theorem(equivalent(equivalent(equivalent(A,A),B),equivalent(equivalent(C,B),C))). [hyper(3,a,174,a,b,185,a)].
% 3.85/4.12 382 is_a_theorem(equivalent(equivalent(A,equivalent(equivalent(A,B),C)),equivalent(C,B))). [hyper(3,a,14,a,b,210,a)].
% 3.85/4.12 400 is_a_theorem(equivalent(equivalent(A,equivalent(equivalent(equivalent(B,C),B),C)),A)). [hyper(3,a,267,a,b,179,a)].
% 3.85/4.12 508 is_a_theorem(equivalent(equivalent(A,equivalent(B,A)),B)). [hyper(3,a,95,a,b,382,a)].
% 3.85/4.12 536 is_a_theorem(equivalent(A,equivalent(equivalent(A,B),equivalent(C,equivalent(B,C))))). [hyper(3,a,1,a,b,508,a)].
% 3.85/4.12 786 is_a_theorem(equivalent(A,equivalent(equivalent(B,A),B))). [hyper(3,a,400,a,b,185,a)].
% 3.85/4.12 819 is_a_theorem(equivalent(A,equivalent(equivalent(A,equivalent(equivalent(B,C),B)),C))). [hyper(3,a,1,a,b,786,a)].
% 3.85/4.12 1659 is_a_theorem(equivalent(A,equivalent(B,equivalent(A,B)))). [hyper(3,a,400,a,b,536,a)].
% 3.85/4.12 1763 is_a_theorem(equivalent(equivalent(A,equivalent(A,B)),B)). [hyper(3,a,382,a,b,1659,a)].
% 3.85/4.12 1779 is_a_theorem(equivalent(A,equivalent(equivalent(A,equivalent(B,equivalent(C,B))),C))). [hyper(3,a,1,a,b,1659,a)].
% 3.85/4.12 1864 is_a_theorem(equivalent(A,equivalent(equivalent(A,B),equivalent(C,equivalent(C,B))))). [hyper(3,a,1,a,b,1763,a)].
% 3.85/4.12 7031 is_a_theorem(equivalent(A,equivalent(B,equivalent(B,A)))). [hyper(3,a,400,a,b,1864,a)].
% 3.85/4.12 7203 is_a_theorem(equivalent(A,equivalent(equivalent(A,equivalent(B,equivalent(B,C))),C))). [hyper(3,a,1,a,b,7031,a)].
% 3.85/4.12 9342 is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(A,B),B),C),A),C)). [hyper(3,a,95,a,b,213,a)].
% 3.85/4.12 9407 is_a_theorem(equivalent(equivalent(equivalent(A,equivalent(equivalent(B,C),C)),B),A)). [hyper(3,a,400,a,b,223,a)].
% 3.85/4.12 9420 is_a_theorem(equivalent(equivalent(A,equivalent(equivalent(A,B),equivalent(C,B))),C)). [hyper(3,a,9407,a,b,130,a)].
% 3.85/4.12 9439 is_a_theorem(equivalent(equivalent(equivalent(equivalent(A,B),B),C),equivalent(A,C))). [hyper(3,a,9342,a,b,9420,a)].
% 3.85/4.12 9451 is_a_theorem(equivalent(equivalent(A,B),equivalent(B,A))). [hyper(3,a,95,a,b,9420,a)].
% 3.85/4.12 9489 is_a_theorem(equivalent(equivalent(A,equivalent(equivalent(B,C),equivalent(C,B))),A)). [hyper(3,a,786,a,b,9451,a)].
% 3.85/4.12 9518 is_a_theorem(equivalent(equivalent(equivalent(A,equivalent(B,equivalent(B,C))),C),A)). [hyper(3,a,9451,a,b,7203,a)].
% 3.85/4.12 9527 is_a_theorem(equivalent(equivalent(equivalent(A,equivalent(B,equivalent(C,B))),C),A)). [hyper(3,a,9451,a,b,1779,a)].
% 3.85/4.12 9530 is_a_theorem(equivalent(equivalent(equivalent(A,equivalent(equivalent(B,C),B)),C),A)). [hyper(3,a,9451,a,b,819,a)].
% 3.85/4.12 9533 is_a_theorem(equivalent(equivalent(equivalent(A,B),equivalent(C,equivalent(B,C))),A)). [hyper(3,a,9451,a,b,536,a)].
% 3.85/4.12 9776 is_a_theorem(equivalent(equivalent(equivalent(equivalent(A,B),C),C),equivalent(B,A))). [hyper(3,a,9489,a,b,9439,a)].
% 3.85/4.12 9960 is_a_theorem(equivalent(equivalent(A,equivalent(equivalent(A,equivalent(B,C)),B)),C)). [hyper(3,a,9518,a,b,130,a)].
% 3.85/4.12 10100 is_a_theorem(equivalent(equivalent(A,equivalent(equivalent(A,B),equivalent(B,C))),C)). [hyper(3,a,9530,a,b,130,a)].
% 3.85/4.12 10126 is_a_theorem(equivalent(equivalent(equivalent(A,B),equivalent(C,equivalent(A,C))),B)). [hyper(3,a,110,a,b,9533,a)].
% 3.85/4.12 10575 is_a_theorem(equivalent(equivalent(A,B),equivalent(C,equivalent(equivalent(B,A),C)))). [hyper(3,a,9527,a,b,9776,a)].
% 3.85/4.12 11228 is_a_theorem(equivalent(A,equivalent(B,equivalent(equivalent(B,C),equivalent(C,A))))). [hyper(3,a,9451,a,b,10100,a)].
% 3.85/4.12 11293 is_a_theorem(equivalent(equivalent(A,equivalent(B,equivalent(C,equivalent(A,C)))),B)). [hyper(3,a,10126,a,b,9960,a)].
% 3.85/4.12 12230 is_a_theorem(equivalent(equivalent(equivalent(A,B),equivalent(equivalent(B,A),C)),C)). [hyper(3,a,382,a,b,10575,a)].
% 3.85/4.12 14534 is_a_theorem(equivalent(equivalent(equivalent(equivalent(A,B),C),B),equivalent(C,A))). [hyper(3,a,11293,a,b,64,a)].
% 3.85/4.12 16774 is_a_theorem(equivalent(equivalent(equivalent(A,B),C),equivalent(C,equivalent(B,A)))). [hyper(3,a,12230,a,b,11228,a)].
% 3.85/4.12 23624 is_a_theorem(equivalent(equivalent(A,B),equivalent(C,equivalent(equivalent(B,C),A)))). [hyper(3,a,16774,a,b,14534,a)].
% 3.85/4.12 23625 $F # answer(prove_yrm). [resolve(23624,a,2,a)].
% 3.85/4.12
% 3.85/4.12 % SZS output end Refutation
% 3.85/4.12 ============================== end of proof ==========================
% 3.85/4.12
% 3.85/4.12 ============================== STATISTICS ============================
% 3.85/4.12
% 3.85/4.12 Given=583. Generated=189267. Kept=23624. proofs=1.
% 3.85/4.12 Usable=583. Sos=9999. Demods=0. Limbo=46, Disabled=12998. Hints=0.
% 3.85/4.12 Megabytes=14.45.
% 3.85/4.12 User_CPU=3.03, System_CPU=0.09, Wall_clock=3.
% 3.85/4.12
% 3.85/4.12 ============================== end of statistics =====================
% 3.85/4.12
% 3.85/4.12 ============================== end of search =========================
% 3.85/4.12
% 3.85/4.12 THEOREM PROVED
% 3.85/4.12 % SZS status Unsatisfiable
% 3.85/4.12
% 3.85/4.12 Exiting with 1 proof.
% 3.85/4.12
% 3.85/4.12 Process 3964 exit (max_proofs) Mon Jul 4 19:19:15 2022
% 3.85/4.12 Prover9 interrupted
%------------------------------------------------------------------------------