TSTP Solution File: LCL105-1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : LCL105-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n024.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 13:44:02 EDT 2022
% Result : Unsatisfiable 106.12s 106.48s
% Output : Refutation 106.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : LCL105-1 : TPTP v8.1.0. Released v1.0.0.
% 0.09/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.33 % Computer : n024.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun Jul 3 21:43:44 EDT 2022
% 0.12/0.33 % CPUTime :
% 106.12/106.48 ============================== Prover9 ===============================
% 106.12/106.48 Prover9 (32) version 2009-11A, November 2009.
% 106.12/106.48 Process 10781 was started by sandbox on n024.cluster.edu,
% 106.12/106.48 Sun Jul 3 21:43:45 2022
% 106.12/106.48 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_10626_n024.cluster.edu".
% 106.12/106.48 ============================== end of head ===========================
% 106.12/106.48
% 106.12/106.48 ============================== INPUT =================================
% 106.12/106.48
% 106.12/106.48 % Reading from file /tmp/Prover9_10626_n024.cluster.edu
% 106.12/106.48
% 106.12/106.48 set(prolog_style_variables).
% 106.12/106.48 set(auto2).
% 106.12/106.48 % set(auto2) -> set(auto).
% 106.12/106.48 % set(auto) -> set(auto_inference).
% 106.12/106.48 % set(auto) -> set(auto_setup).
% 106.12/106.48 % set(auto_setup) -> set(predicate_elim).
% 106.12/106.48 % set(auto_setup) -> assign(eq_defs, unfold).
% 106.12/106.48 % set(auto) -> set(auto_limits).
% 106.12/106.48 % set(auto_limits) -> assign(max_weight, "100.000").
% 106.12/106.48 % set(auto_limits) -> assign(sos_limit, 20000).
% 106.12/106.48 % set(auto) -> set(auto_denials).
% 106.12/106.48 % set(auto) -> set(auto_process).
% 106.12/106.48 % set(auto2) -> assign(new_constants, 1).
% 106.12/106.48 % set(auto2) -> assign(fold_denial_max, 3).
% 106.12/106.48 % set(auto2) -> assign(max_weight, "200.000").
% 106.12/106.48 % set(auto2) -> assign(max_hours, 1).
% 106.12/106.48 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 106.12/106.48 % set(auto2) -> assign(max_seconds, 0).
% 106.12/106.48 % set(auto2) -> assign(max_minutes, 5).
% 106.12/106.48 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 106.12/106.48 % set(auto2) -> set(sort_initial_sos).
% 106.12/106.48 % set(auto2) -> assign(sos_limit, -1).
% 106.12/106.48 % set(auto2) -> assign(lrs_ticks, 3000).
% 106.12/106.48 % set(auto2) -> assign(max_megs, 400).
% 106.12/106.48 % set(auto2) -> assign(stats, some).
% 106.12/106.48 % set(auto2) -> clear(echo_input).
% 106.12/106.48 % set(auto2) -> set(quiet).
% 106.12/106.48 % set(auto2) -> clear(print_initial_clauses).
% 106.12/106.48 % set(auto2) -> clear(print_given).
% 106.12/106.48 assign(lrs_ticks,-1).
% 106.12/106.48 assign(sos_limit,10000).
% 106.12/106.48 assign(order,kbo).
% 106.12/106.48 set(lex_order_vars).
% 106.12/106.48 clear(print_given).
% 106.12/106.48
% 106.12/106.48 % formulas(sos). % not echoed (5 formulas)
% 106.12/106.48
% 106.12/106.48 ============================== end of input ==========================
% 106.12/106.48
% 106.12/106.48 % From the command line: assign(max_seconds, 300).
% 106.12/106.48
% 106.12/106.48 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 106.12/106.48
% 106.12/106.48 % Formulas that are not ordinary clauses:
% 106.12/106.48
% 106.12/106.48 ============================== end of process non-clausal formulas ===
% 106.12/106.48
% 106.12/106.48 ============================== PROCESS INITIAL CLAUSES ===============
% 106.12/106.48
% 106.12/106.48 ============================== PREDICATE ELIMINATION =================
% 106.12/106.48
% 106.12/106.48 ============================== end predicate elimination =============
% 106.12/106.48
% 106.12/106.48 Auto_denials:
% 106.12/106.48 % copying label prove_lg_2 to answer in negative clause
% 106.12/106.48
% 106.12/106.48 Term ordering decisions:
% 106.12/106.48 Function symbol KB weights: a=1. b=1. c=1. e=1. equivalent=1.
% 106.12/106.48
% 106.12/106.48 ============================== end of process initial clauses ========
% 106.12/106.48
% 106.12/106.48 ============================== CLAUSES FOR SEARCH ====================
% 106.12/106.48
% 106.12/106.48 ============================== end of clauses for search =============
% 106.12/106.48
% 106.12/106.48 ============================== SEARCH ================================
% 106.12/106.48
% 106.12/106.48 % Starting search at 0.01 seconds.
% 106.12/106.48
% 106.12/106.48 Low Water (keep): wt=36.000, iters=3350
% 106.12/106.48
% 106.12/106.48 Low Water (keep): wt=32.000, iters=3365
% 106.12/106.48
% 106.12/106.48 Low Water (keep): wt=28.000, iters=3346
% 106.12/106.48
% 106.12/106.48 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 43 (0.00 of 1.62 sec).
% 106.12/106.48
% 106.12/106.48 Low Water (keep): wt=24.000, iters=3351
% 106.12/106.48
% 106.12/106.48 Low Water (displace): id=4419, wt=40.000
% 106.12/106.48
% 106.12/106.48 Low Water (displace): id=5531, wt=36.000
% 106.12/106.48
% 106.12/106.48 Low Water (displace): id=5701, wt=32.000
% 106.12/106.48
% 106.12/106.48 Low Water (displace): id=11815, wt=20.000
% 106.12/106.48
% 106.12/106.48 Low Water (displace): id=14202, wt=16.000
% 106.12/106.48
% 106.12/106.48 ============================== PROOF =================================
% 106.12/106.48 % SZS status Unsatisfiable
% 106.12/106.48 % SZS output start Refutation
% 106.12/106.48
% 106.12/106.48 % Proof 1 at 93.71 (+ 11.78) seconds: prove_lg_2.
% 106.12/106.48 % Length of proof is 35.
% 106.12/106.48 % Level of proof is 13.
% 106.12/106.48 % Maximum clause weight is 20.000.
% 106.12/106.48 % Given clauses 6433.
% 106.12/106.48
% 106.12/106.48 1 is_a_theorem(equivalent(A,equivalent(equivalent(B,C),equivalent(equivalent(C,B),A)))) # label(q_1) # label(axiom). [assumption].
% 106.12/106.48 2 is_a_theorem(equivalent(equivalent(A,B),equivalent(equivalent(C,A),equivalent(C,B)))) # label(q_2) # label(axiom). [assumption].
% 106.12/106.48 3 is_a_theorem(equivalent(equivalent(equivalent(A,B),equivalent(equivalent(B,A),C)),C)) # label(q_3) # label(axiom). [assumption].
% 106.12/106.48 4 -is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,c)),equivalent(b,c)),e),e)) # label(prove_lg_2) # label(negated_conjecture) # answer(prove_lg_2). [assumption].
% 106.12/106.48 5 -is_a_theorem(equivalent(A,B)) | -is_a_theorem(A) | is_a_theorem(B) # label(condensed_detachment) # label(axiom). [assumption].
% 106.12/106.48 7 is_a_theorem(equivalent(equivalent(A,equivalent(equivalent(B,C),equivalent(equivalent(C,B),D))),equivalent(A,D))). [hyper(5,a,2,a,b,3,a)].
% 106.12/106.48 8 is_a_theorem(equivalent(equivalent(A,equivalent(B,C)),equivalent(A,equivalent(equivalent(D,B),equivalent(D,C))))). [hyper(5,a,2,a,b,2,a)].
% 106.12/106.48 33 is_a_theorem(equivalent(equivalent(A,equivalent(B,equivalent(equivalent(C,D),equivalent(equivalent(D,C),E)))),equivalent(A,equivalent(B,E)))). [hyper(5,a,2,a,b,7,a)].
% 106.12/106.48 41 is_a_theorem(equivalent(equivalent(A,equivalent(B,C)),equivalent(equivalent(D,A),equivalent(D,equivalent(equivalent(E,B),equivalent(E,C)))))). [hyper(5,a,8,a,b,8,a)].
% 106.12/106.48 42 is_a_theorem(equivalent(equivalent(equivalent(A,B),equivalent(A,C)),equivalent(B,C))). [hyper(5,a,7,a,b,8,a)].
% 106.12/106.48 43 is_a_theorem(equivalent(equivalent(A,equivalent(B,equivalent(C,D))),equivalent(A,equivalent(B,equivalent(equivalent(E,C),equivalent(E,D)))))). [hyper(5,a,2,a,b,8,a)].
% 106.12/106.48 48 is_a_theorem(equivalent(equivalent(A,equivalent(equivalent(B,C),equivalent(equivalent(C,B),D))),equivalent(equivalent(E,A),equivalent(E,D)))). [hyper(5,a,8,a,b,7,a)].
% 106.12/106.48 51 is_a_theorem(equivalent(A,equivalent(equivalent(B,equivalent(C,D)),equivalent(B,equivalent(equivalent(D,C),A))))). [hyper(5,a,8,a,b,1,a)].
% 106.12/106.48 53 is_a_theorem(equivalent(equivalent(equivalent(A,B),equivalent(A,C)),equivalent(equivalent(D,B),equivalent(D,C)))). [hyper(5,a,8,a,b,42,a)].
% 106.12/106.48 54 is_a_theorem(equivalent(equivalent(equivalent(A,equivalent(B,C)),equivalent(A,equivalent(equivalent(C,B),D))),D)). [hyper(5,a,7,a,b,42,a)].
% 106.12/106.48 55 is_a_theorem(equivalent(equivalent(A,equivalent(equivalent(B,C),equivalent(B,D))),equivalent(A,equivalent(C,D)))). [hyper(5,a,2,a,b,42,a)].
% 106.12/106.48 487 is_a_theorem(equivalent(A,equivalent(B,equivalent(equivalent(C,D),equivalent(equivalent(B,equivalent(D,C)),A))))). [hyper(5,a,42,a,b,51,a)].
% 106.12/106.48 609 is_a_theorem(equivalent(equivalent(A,equivalent(B,equivalent(equivalent(C,D),equivalent(equivalent(B,equivalent(D,C)),E)))),equivalent(A,E))). [hyper(5,a,53,a,b,54,a)].
% 106.12/106.48 656 is_a_theorem(equivalent(equivalent(equivalent(equivalent(A,B),C),equivalent(B,D)),equivalent(C,equivalent(A,D)))). [hyper(5,a,55,a,b,8,a)].
% 106.12/106.48 1888 is_a_theorem(equivalent(equivalent(A,equivalent(B,C)),equivalent(equivalent(equivalent(B,D),A),equivalent(D,C)))). [hyper(5,a,33,a,b,41,a)].
% 106.12/106.48 2157 is_a_theorem(equivalent(equivalent(equivalent(equivalent(A,B),equivalent(A,C)),equivalent(B,D)),equivalent(C,D))). [hyper(5,a,55,a,b,656,a)].
% 106.12/106.48 2161 is_a_theorem(equivalent(equivalent(equivalent(equivalent(A,B),C),equivalent(B,D)),equivalent(C,equivalent(equivalent(E,A),equivalent(E,D))))). [hyper(5,a,43,a,b,656,a)].
% 106.12/106.48 2182 is_a_theorem(equivalent(A,equivalent(B,equivalent(equivalent(C,D),equivalent(equivalent(E,equivalent(D,C)),equivalent(equivalent(B,E),A)))))). [hyper(5,a,656,a,b,487,a)].
% 106.12/106.48 3710 is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(A,B),C),D),equivalent(C,equivalent(A,E))),equivalent(D,equivalent(B,E)))). [hyper(5,a,1888,a,b,1888,a)].
% 106.12/106.48 3735 is_a_theorem(equivalent(equivalent(A,equivalent(B,equivalent(equivalent(C,D),E))),equivalent(equivalent(equivalent(B,equivalent(D,C)),A),E))). [hyper(5,a,33,a,b,1888,a)].
% 106.12/106.48 9491 is_a_theorem(equivalent(A,equivalent(equivalent(B,B),A))). [hyper(5,a,609,a,b,2182,a)].
% 106.12/106.48 9508 is_a_theorem(equivalent(A,equivalent(equivalent(B,C),equivalent(B,equivalent(equivalent(C,equivalent(D,D)),A))))). [hyper(5,a,2161,a,b,9491,a)].
% 106.12/106.48 9623 is_a_theorem(equivalent(equivalent(A,equivalent(equivalent(B,B),C)),equivalent(A,C))). [hyper(5,a,48,a,b,9491,a)].
% 106.12/106.48 10427 is_a_theorem(equivalent(equivalent(equivalent(equivalent(A,B),equivalent(A,equivalent(C,C))),equivalent(B,D)),D)). [hyper(5,a,9623,a,b,2157,a)].
% 106.12/106.48 12811 is_a_theorem(equivalent(equivalent(A,equivalent(equivalent(B,equivalent(C,C)),D)),equivalent(equivalent(B,A),D))). [hyper(5,a,656,a,b,10427,a)].
% 106.12/106.48 17373 is_a_theorem(equivalent(equivalent(equivalent(equivalent(A,B),C),equivalent(B,equivalent(equivalent(A,equivalent(D,D)),E))),equivalent(C,E))). [hyper(5,a,1888,a,b,12811,a)].
% 106.12/106.48 18717 is_a_theorem(equivalent(A,equivalent(B,equivalent(equivalent(C,equivalent(D,D)),equivalent(equivalent(equivalent(E,B),equivalent(E,C)),A))))). [hyper(5,a,3710,a,b,9508,a)].
% 106.12/106.48 20963 is_a_theorem(equivalent(A,equivalent(equivalent(equivalent(B,C),equivalent(B,D)),equivalent(equivalent(D,C),A)))). [hyper(5,a,17373,a,b,18717,a)].
% 106.12/106.48 21057 is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(A,B),equivalent(A,C)),equivalent(B,C)),D),D)). [hyper(5,a,3735,a,b,20963,a)].
% 106.12/106.48 21058 $F # answer(prove_lg_2). [resolve(21057,a,4,a)].
% 106.12/106.48
% 106.12/106.48 % SZS output end Refutation
% 106.12/106.48 ============================== end of proof ==========================
% 106.12/106.48
% 106.12/106.48 ============================== STATISTICS ============================
% 106.12/106.48
% 106.12/106.48 Given=6433. Generated=24579643. Kept=21057. proofs=1.
% 106.12/106.48 Usable=6433. Sos=6479. Demods=0. Limbo=18, Disabled=8131. Hints=0.
% 106.12/106.48 Megabytes=15.36.
% 106.12/106.48 User_CPU=93.71, System_CPU=11.78, Wall_clock=106.
% 106.12/106.48
% 106.12/106.48 ============================== end of statistics =====================
% 106.12/106.48
% 106.12/106.48 ============================== end of search =========================
% 106.12/106.48
% 106.12/106.48 THEOREM PROVED
% 106.12/106.48 % SZS status Unsatisfiable
% 106.12/106.48
% 106.12/106.48 Exiting with 1 proof.
% 106.12/106.48
% 106.12/106.48 Process 10781 exit (max_proofs) Sun Jul 3 21:45:31 2022
% 106.12/106.48 Prover9 interrupted
%------------------------------------------------------------------------------