TSTP Solution File: LCL106-1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : LCL106-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n026.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 0.45s 1.03s
% Output : Refutation 0.45s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL106-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.13/0.34 % Computer : n026.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 : 600
% 0.13/0.34 % DateTime : Mon Jul 4 06:40:21 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.45/1.03 ============================== Prover9 ===============================
% 0.45/1.03 Prover9 (32) version 2009-11A, November 2009.
% 0.45/1.03 Process 28587 was started by sandbox2 on n026.cluster.edu,
% 0.45/1.03 Mon Jul 4 06:40:22 2022
% 0.45/1.03 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_28325_n026.cluster.edu".
% 0.45/1.03 ============================== end of head ===========================
% 0.45/1.03
% 0.45/1.03 ============================== INPUT =================================
% 0.45/1.03
% 0.45/1.03 % Reading from file /tmp/Prover9_28325_n026.cluster.edu
% 0.45/1.03
% 0.45/1.03 set(prolog_style_variables).
% 0.45/1.03 set(auto2).
% 0.45/1.03 % set(auto2) -> set(auto).
% 0.45/1.03 % set(auto) -> set(auto_inference).
% 0.45/1.03 % set(auto) -> set(auto_setup).
% 0.45/1.03 % set(auto_setup) -> set(predicate_elim).
% 0.45/1.03 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.45/1.03 % set(auto) -> set(auto_limits).
% 0.45/1.03 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.45/1.03 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.45/1.03 % set(auto) -> set(auto_denials).
% 0.45/1.03 % set(auto) -> set(auto_process).
% 0.45/1.03 % set(auto2) -> assign(new_constants, 1).
% 0.45/1.03 % set(auto2) -> assign(fold_denial_max, 3).
% 0.45/1.03 % set(auto2) -> assign(max_weight, "200.000").
% 0.45/1.03 % set(auto2) -> assign(max_hours, 1).
% 0.45/1.03 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.45/1.03 % set(auto2) -> assign(max_seconds, 0).
% 0.45/1.03 % set(auto2) -> assign(max_minutes, 5).
% 0.45/1.03 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.45/1.03 % set(auto2) -> set(sort_initial_sos).
% 0.45/1.03 % set(auto2) -> assign(sos_limit, -1).
% 0.45/1.03 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.45/1.03 % set(auto2) -> assign(max_megs, 400).
% 0.45/1.03 % set(auto2) -> assign(stats, some).
% 0.45/1.03 % set(auto2) -> clear(echo_input).
% 0.45/1.03 % set(auto2) -> set(quiet).
% 0.45/1.03 % set(auto2) -> clear(print_initial_clauses).
% 0.45/1.03 % set(auto2) -> clear(print_given).
% 0.45/1.03 assign(lrs_ticks,-1).
% 0.45/1.03 assign(sos_limit,10000).
% 0.45/1.03 assign(order,kbo).
% 0.45/1.03 set(lex_order_vars).
% 0.45/1.03 clear(print_given).
% 0.45/1.03
% 0.45/1.03 % formulas(sos). % not echoed (4 formulas)
% 0.45/1.03
% 0.45/1.03 ============================== end of input ==========================
% 0.45/1.03
% 0.45/1.03 % From the command line: assign(max_seconds, 300).
% 0.45/1.03
% 0.45/1.03 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.45/1.03
% 0.45/1.03 % Formulas that are not ordinary clauses:
% 0.45/1.03
% 0.45/1.03 ============================== end of process non-clausal formulas ===
% 0.45/1.03
% 0.45/1.03 ============================== PROCESS INITIAL CLAUSES ===============
% 0.45/1.03
% 0.45/1.03 ============================== PREDICATE ELIMINATION =================
% 0.45/1.03
% 0.45/1.03 ============================== end predicate elimination =============
% 0.45/1.03
% 0.45/1.03 Auto_denials:
% 0.45/1.03 % copying label prove_q_2 to answer in negative clause
% 0.45/1.03
% 0.45/1.03 Term ordering decisions:
% 0.45/1.03 Function symbol KB weights: a=1. b=1. c=1. equivalent=1.
% 0.45/1.03
% 0.45/1.03 ============================== end of process initial clauses ========
% 0.45/1.03
% 0.45/1.03 ============================== CLAUSES FOR SEARCH ====================
% 0.45/1.03
% 0.45/1.03 ============================== end of clauses for search =============
% 0.45/1.03
% 0.45/1.03 ============================== SEARCH ================================
% 0.45/1.03
% 0.45/1.03 % Starting search at 0.01 seconds.
% 0.45/1.03
% 0.45/1.03 ============================== PROOF =================================
% 0.45/1.03 % SZS status Unsatisfiable
% 0.45/1.03 % SZS output start Refutation
% 0.45/1.03
% 0.45/1.03 % Proof 1 at 0.01 (+ 0.00) seconds: prove_q_2.
% 0.45/1.03 % Length of proof is 12.
% 0.45/1.03 % Level of proof is 7.
% 0.45/1.03 % Maximum clause weight is 32.000.
% 0.45/1.03 % Given clauses 14.
% 0.45/1.03
% 0.45/1.03 1 is_a_theorem(equivalent(A,equivalent(equivalent(B,C),equivalent(equivalent(C,B),A)))) # label(q_1) # label(axiom). [assumption].
% 0.45/1.03 2 is_a_theorem(equivalent(equivalent(equivalent(A,B),equivalent(A,C)),equivalent(B,C))) # label(q_4) # label(axiom). [assumption].
% 0.45/1.03 3 -is_a_theorem(equivalent(equivalent(a,b),equivalent(equivalent(c,a),equivalent(c,b)))) # label(prove_q_2) # label(negated_conjecture) # answer(prove_q_2). [assumption].
% 0.45/1.03 4 -is_a_theorem(equivalent(A,B)) | -is_a_theorem(A) | is_a_theorem(B) # label(condensed_detachment) # label(axiom). [assumption].
% 0.45/1.03 5 is_a_theorem(equivalent(equivalent(A,B),equivalent(equivalent(B,A),equivalent(equivalent(equivalent(C,D),equivalent(C,E)),equivalent(D,E))))). [hyper(4,a,1,a,b,2,a)].
% 0.45/1.03 6 is_a_theorem(equivalent(equivalent(A,B),equivalent(equivalent(B,A),equivalent(C,equivalent(equivalent(D,E),equivalent(equivalent(E,D),C)))))). [hyper(4,a,1,a,b,1,a)].
% 0.45/1.03 7 is_a_theorem(equivalent(equivalent(equivalent(equivalent(A,B),equivalent(equivalent(equivalent(C,D),equivalent(C,E)),equivalent(D,E))),equivalent(B,A)),equivalent(equivalent(equivalent(F,V6),equivalent(F,V7)),equivalent(V6,V7)))). [hyper(4,a,5,a,b,5,a)].
% 0.45/1.03 29 is_a_theorem(equivalent(equivalent(A,equivalent(equivalent(B,C),equivalent(B,D))),equivalent(A,equivalent(C,D)))). [hyper(4,a,2,a,b,7,a)].
% 0.45/1.03 36 is_a_theorem(equivalent(equivalent(A,B),equivalent(A,equivalent(equivalent(C,D),equivalent(equivalent(D,C),B))))). [hyper(4,a,29,a,b,6,a)].
% 0.45/1.03 42 is_a_theorem(equivalent(equivalent(equivalent(equivalent(A,B),C),D),equivalent(C,equivalent(equivalent(B,A),D)))). [hyper(4,a,29,a,b,36,a)].
% 0.45/1.03 69 is_a_theorem(equivalent(equivalent(A,B),equivalent(equivalent(C,A),equivalent(C,B)))). [hyper(4,a,42,a,b,2,a)].
% 0.45/1.03 70 $F # answer(prove_q_2). [resolve(69,a,3,a)].
% 0.45/1.03
% 0.45/1.03 % SZS output end Refutation
% 0.45/1.03 ============================== end of proof ==========================
% 0.45/1.03
% 0.45/1.03 ============================== STATISTICS ============================
% 0.45/1.03
% 0.45/1.03 Given=14. Generated=87. Kept=69. proofs=1.
% 0.45/1.03 Usable=14. Sos=41. Demods=0. Limbo=13, Disabled=4. Hints=0.
% 0.45/1.03 Megabytes=0.12.
% 0.45/1.03 User_CPU=0.01, System_CPU=0.00, Wall_clock=0.
% 0.45/1.03
% 0.45/1.03 ============================== end of statistics =====================
% 0.45/1.03
% 0.45/1.03 ============================== end of search =========================
% 0.45/1.03
% 0.45/1.03 THEOREM PROVED
% 0.45/1.03 % SZS status Unsatisfiable
% 0.45/1.03
% 0.45/1.03 Exiting with 1 proof.
% 0.45/1.03
% 0.45/1.03 Process 28587 exit (max_proofs) Mon Jul 4 06:40:22 2022
% 0.45/1.03 Prover9 interrupted
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