TSTP Solution File: LCL014-1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : LCL014-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n027.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 13:43:24 EDT 2022
% Result : Unsatisfiable 2.45s 2.78s
% Output : Refutation 2.45s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LCL014-1 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.13/0.33 % Computer : n027.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 05:51:54 EDT 2022
% 0.13/0.33 % CPUTime :
% 2.45/2.78 ============================== Prover9 ===============================
% 2.45/2.78 Prover9 (32) version 2009-11A, November 2009.
% 2.45/2.78 Process 29513 was started by sandbox on n027.cluster.edu,
% 2.45/2.78 Sun Jul 3 05:51:55 2022
% 2.45/2.78 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_29359_n027.cluster.edu".
% 2.45/2.78 ============================== end of head ===========================
% 2.45/2.78
% 2.45/2.78 ============================== INPUT =================================
% 2.45/2.78
% 2.45/2.78 % Reading from file /tmp/Prover9_29359_n027.cluster.edu
% 2.45/2.78
% 2.45/2.78 set(prolog_style_variables).
% 2.45/2.78 set(auto2).
% 2.45/2.78 % set(auto2) -> set(auto).
% 2.45/2.78 % set(auto) -> set(auto_inference).
% 2.45/2.78 % set(auto) -> set(auto_setup).
% 2.45/2.78 % set(auto_setup) -> set(predicate_elim).
% 2.45/2.78 % set(auto_setup) -> assign(eq_defs, unfold).
% 2.45/2.78 % set(auto) -> set(auto_limits).
% 2.45/2.78 % set(auto_limits) -> assign(max_weight, "100.000").
% 2.45/2.78 % set(auto_limits) -> assign(sos_limit, 20000).
% 2.45/2.78 % set(auto) -> set(auto_denials).
% 2.45/2.78 % set(auto) -> set(auto_process).
% 2.45/2.78 % set(auto2) -> assign(new_constants, 1).
% 2.45/2.78 % set(auto2) -> assign(fold_denial_max, 3).
% 2.45/2.78 % set(auto2) -> assign(max_weight, "200.000").
% 2.45/2.78 % set(auto2) -> assign(max_hours, 1).
% 2.45/2.78 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 2.45/2.78 % set(auto2) -> assign(max_seconds, 0).
% 2.45/2.78 % set(auto2) -> assign(max_minutes, 5).
% 2.45/2.78 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 2.45/2.78 % set(auto2) -> set(sort_initial_sos).
% 2.45/2.78 % set(auto2) -> assign(sos_limit, -1).
% 2.45/2.78 % set(auto2) -> assign(lrs_ticks, 3000).
% 2.45/2.78 % set(auto2) -> assign(max_megs, 400).
% 2.45/2.78 % set(auto2) -> assign(stats, some).
% 2.45/2.78 % set(auto2) -> clear(echo_input).
% 2.45/2.78 % set(auto2) -> set(quiet).
% 2.45/2.78 % set(auto2) -> clear(print_initial_clauses).
% 2.45/2.78 % set(auto2) -> clear(print_given).
% 2.45/2.78 assign(lrs_ticks,-1).
% 2.45/2.78 assign(sos_limit,10000).
% 2.45/2.78 assign(order,kbo).
% 2.45/2.78 set(lex_order_vars).
% 2.45/2.78 clear(print_given).
% 2.45/2.78
% 2.45/2.78 % formulas(sos). % not echoed (3 formulas)
% 2.45/2.78
% 2.45/2.78 ============================== end of input ==========================
% 2.45/2.78
% 2.45/2.78 % From the command line: assign(max_seconds, 300).
% 2.45/2.78
% 2.45/2.78 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 2.45/2.78
% 2.45/2.78 % Formulas that are not ordinary clauses:
% 2.45/2.78
% 2.45/2.78 ============================== end of process non-clausal formulas ===
% 2.45/2.78
% 2.45/2.78 ============================== PROCESS INITIAL CLAUSES ===============
% 2.45/2.78
% 2.45/2.78 ============================== PREDICATE ELIMINATION =================
% 2.45/2.78
% 2.45/2.78 ============================== end predicate elimination =============
% 2.45/2.78
% 2.45/2.78 Auto_denials:
% 2.45/2.78 % copying label prove_xgf to answer in negative clause
% 2.45/2.78
% 2.45/2.78 Term ordering decisions:
% 2.45/2.78 Function symbol KB weights: a=1. b=1. c=1. equivalent=1.
% 2.45/2.78
% 2.45/2.78 ============================== end of process initial clauses ========
% 2.45/2.78
% 2.45/2.78 ============================== CLAUSES FOR SEARCH ====================
% 2.45/2.78
% 2.45/2.78 ============================== end of clauses for search =============
% 2.45/2.78
% 2.45/2.78 ============================== SEARCH ================================
% 2.45/2.78
% 2.45/2.78 % Starting search at 0.01 seconds.
% 2.45/2.78
% 2.45/2.78 Low Water (keep): wt=40.000, iters=3350
% 2.45/2.78
% 2.45/2.78 Low Water (keep): wt=36.000, iters=3358
% 2.45/2.78
% 2.45/2.78 Low Water (keep): wt=32.000, iters=3388
% 2.45/2.78
% 2.45/2.78 Low Water (keep): wt=28.000, iters=3333
% 2.45/2.78
% 2.45/2.78 Low Water (keep): wt=24.000, iters=3335
% 2.45/2.78
% 2.45/2.78 Low Water (keep): wt=20.000, iters=3358
% 2.45/2.78
% 2.45/2.78 Low Water (displace): id=1844, wt=56.000
% 2.45/2.78
% 2.45/2.78 Low Water (displace): id=4593, wt=52.000
% 2.45/2.78
% 2.45/2.78 Low Water (displace): id=5028, wt=48.000
% 2.45/2.78
% 2.45/2.78 Low Water (displace): id=5027, wt=44.000
% 2.45/2.78
% 2.45/2.78 Low Water (displace): id=5541, wt=40.000
% 2.45/2.78
% 2.45/2.78 Low Water (displace): id=10480, wt=16.000
% 2.45/2.78
% 2.45/2.78 ============================== PROOF =================================
% 2.45/2.78 % SZS status Unsatisfiable
% 2.45/2.78 % SZS output start Refutation
% 2.45/2.78
% 2.45/2.78 % Proof 1 at 1.74 (+ 0.06) seconds: prove_xgf.
% 2.45/2.78 % Length of proof is 27.
% 2.45/2.78 % Level of proof is 15.
% 2.45/2.78 % Maximum clause weight is 20.000.
% 2.45/2.78 % Given clauses 410.
% 2.45/2.78
% 2.45/2.78 1 is_a_theorem(equivalent(equivalent(A,equivalent(B,C)),equivalent(C,equivalent(A,B)))) # label(wn) # label(axiom). [assumption].
% 2.45/2.78 2 -is_a_theorem(equivalent(a,equivalent(equivalent(b,equivalent(a,c)),equivalent(c,b)))) # label(prove_xgf) # label(negated_conjecture) # answer(prove_xgf). [assumption].
% 2.45/2.78 3 -is_a_theorem(equivalent(A,B)) | -is_a_theorem(A) | is_a_theorem(B) # label(condensed_detachment) # label(axiom). [assumption].
% 2.45/2.78 4 is_a_theorem(equivalent(equivalent(A,B),equivalent(equivalent(A,equivalent(B,C)),C))). [hyper(3,a,1,a,b,1,a)].
% 2.45/2.78 5 is_a_theorem(equivalent(equivalent(equivalent(A,B),equivalent(equivalent(equivalent(A,equivalent(B,C)),C),D)),D)). [hyper(3,a,4,a,b,4,a)].
% 2.45/2.78 6 is_a_theorem(equivalent(A,equivalent(equivalent(B,C),equivalent(B,equivalent(C,A))))). [hyper(3,a,1,a,b,4,a)].
% 2.45/2.78 7 is_a_theorem(equivalent(equivalent(equivalent(A,equivalent(B,C)),equivalent(equivalent(C,equivalent(A,B)),D)),D)). [hyper(3,a,4,a,b,1,a)].
% 2.45/2.78 9 is_a_theorem(equivalent(equivalent(A,equivalent(equivalent(equivalent(B,C),equivalent(B,equivalent(C,A))),D)),D)). [hyper(3,a,4,a,b,6,a)].
% 2.45/2.78 13 is_a_theorem(equivalent(equivalent(equivalent(equivalent(A,B),equivalent(equivalent(equivalent(A,equivalent(B,C)),C),D)),equivalent(D,E)),E)). [hyper(3,a,4,a,b,5,a)].
% 2.45/2.78 16 is_a_theorem(equivalent(equivalent(equivalent(equivalent(A,equivalent(B,C)),equivalent(equivalent(C,equivalent(A,B)),D)),equivalent(D,E)),E)). [hyper(3,a,4,a,b,7,a)].
% 2.45/2.78 21 is_a_theorem(equivalent(A,equivalent(equivalent(B,A),B))). [hyper(3,a,9,a,b,4,a)].
% 2.45/2.78 32 is_a_theorem(equivalent(equivalent(A,equivalent(B,equivalent(equivalent(C,B),C))),A)). [hyper(3,a,21,a,b,21,a)].
% 2.45/2.78 35 is_a_theorem(equivalent(A,equivalent(B,equivalent(A,B)))). [hyper(3,a,5,a,b,21,a)].
% 2.45/2.78 70 is_a_theorem(equivalent(A,A)). [hyper(3,a,32,a,b,35,a)].
% 2.45/2.78 96 is_a_theorem(equivalent(equivalent(A,equivalent(A,B)),B)). [hyper(3,a,4,a,b,70,a)].
% 2.45/2.78 132 is_a_theorem(equivalent(equivalent(A,equivalent(equivalent(B,equivalent(B,C)),C)),A)). [hyper(3,a,21,a,b,96,a)].
% 2.45/2.78 379 is_a_theorem(equivalent(equivalent(equivalent(A,equivalent(B,C)),C),equivalent(A,B))). [hyper(3,a,13,a,b,70,a)].
% 2.45/2.78 820 is_a_theorem(equivalent(equivalent(A,equivalent(B,C)),equivalent(B,equivalent(C,A)))). [hyper(3,a,16,a,b,70,a)].
% 2.45/2.78 2682 is_a_theorem(equivalent(A,equivalent(B,equivalent(B,A)))). [hyper(3,a,379,a,b,132,a)].
% 2.45/2.78 2724 is_a_theorem(equivalent(equivalent(A,B),equivalent(B,A))). [hyper(3,a,1,a,b,2682,a)].
% 2.45/2.78 2991 is_a_theorem(equivalent(equivalent(equivalent(A,B),equivalent(equivalent(B,A),C)),C)). [hyper(3,a,4,a,b,2724,a)].
% 2.45/2.78 4074 is_a_theorem(equivalent(A,equivalent(equivalent(B,C),equivalent(C,equivalent(A,B))))). [hyper(3,a,820,a,b,820,a)].
% 2.45/2.78 8549 is_a_theorem(equivalent(A,equivalent(equivalent(B,C),equivalent(equivalent(C,B),A)))). [hyper(3,a,2724,a,b,2991,a)].
% 2.45/2.78 9173 is_a_theorem(equivalent(equivalent(equivalent(A,B),equivalent(B,equivalent(C,A))),C)). [hyper(3,a,2724,a,b,4074,a)].
% 2.45/2.78 9772 is_a_theorem(equivalent(equivalent(equivalent(A,B),C),equivalent(C,equivalent(B,A)))). [hyper(3,a,1,a,b,8549,a)].
% 2.45/2.78 14102 is_a_theorem(equivalent(A,equivalent(equivalent(B,equivalent(A,C)),equivalent(C,B)))). [hyper(3,a,9772,a,b,9173,a)].
% 2.45/2.78 14103 $F # answer(prove_xgf). [resolve(14102,a,2,a)].
% 2.45/2.78
% 2.45/2.78 % SZS output end Refutation
% 2.45/2.78 ============================== end of proof ==========================
% 2.45/2.78
% 2.45/2.78 ============================== STATISTICS ============================
% 2.45/2.78
% 2.45/2.78 Given=410. Generated=107902. Kept=14102. proofs=1.
% 2.45/2.78 Usable=409. Sos=9998. Demods=0. Limbo=42, Disabled=3655. Hints=0.
% 2.45/2.78 Megabytes=10.17.
% 2.45/2.78 User_CPU=1.74, System_CPU=0.06, Wall_clock=2.
% 2.45/2.78
% 2.45/2.78 ============================== end of statistics =====================
% 2.45/2.78
% 2.45/2.78 ============================== end of search =========================
% 2.45/2.78
% 2.45/2.78 THEOREM PROVED
% 2.45/2.78 % SZS status Unsatisfiable
% 2.45/2.78
% 2.45/2.78 Exiting with 1 proof.
% 2.45/2.78
% 2.45/2.78 Process 29513 exit (max_proofs) Sun Jul 3 05:51:57 2022
% 2.45/2.78 Prover9 interrupted
%------------------------------------------------------------------------------