TSTP Solution File: LCL130-1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : LCL130-1 : 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 13:44:16 EDT 2022
% Result : Unsatisfiable 0.42s 0.97s
% Output : Refutation 0.42s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : LCL130-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12 % 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 : Mon Jul 4 04:37:44 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.42/0.97 ============================== Prover9 ===============================
% 0.42/0.97 Prover9 (32) version 2009-11A, November 2009.
% 0.42/0.97 Process 1573 was started by sandbox on n024.cluster.edu,
% 0.42/0.97 Mon Jul 4 04:37:45 2022
% 0.42/0.97 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_1419_n024.cluster.edu".
% 0.42/0.97 ============================== end of head ===========================
% 0.42/0.97
% 0.42/0.97 ============================== INPUT =================================
% 0.42/0.97
% 0.42/0.97 % Reading from file /tmp/Prover9_1419_n024.cluster.edu
% 0.42/0.97
% 0.42/0.97 set(prolog_style_variables).
% 0.42/0.97 set(auto2).
% 0.42/0.97 % set(auto2) -> set(auto).
% 0.42/0.97 % set(auto) -> set(auto_inference).
% 0.42/0.97 % set(auto) -> set(auto_setup).
% 0.42/0.97 % set(auto_setup) -> set(predicate_elim).
% 0.42/0.97 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.42/0.97 % set(auto) -> set(auto_limits).
% 0.42/0.97 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.42/0.97 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.42/0.97 % set(auto) -> set(auto_denials).
% 0.42/0.97 % set(auto) -> set(auto_process).
% 0.42/0.97 % set(auto2) -> assign(new_constants, 1).
% 0.42/0.97 % set(auto2) -> assign(fold_denial_max, 3).
% 0.42/0.97 % set(auto2) -> assign(max_weight, "200.000").
% 0.42/0.97 % set(auto2) -> assign(max_hours, 1).
% 0.42/0.97 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.42/0.97 % set(auto2) -> assign(max_seconds, 0).
% 0.42/0.97 % set(auto2) -> assign(max_minutes, 5).
% 0.42/0.97 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.42/0.97 % set(auto2) -> set(sort_initial_sos).
% 0.42/0.97 % set(auto2) -> assign(sos_limit, -1).
% 0.42/0.97 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.42/0.97 % set(auto2) -> assign(max_megs, 400).
% 0.42/0.97 % set(auto2) -> assign(stats, some).
% 0.42/0.97 % set(auto2) -> clear(echo_input).
% 0.42/0.97 % set(auto2) -> set(quiet).
% 0.42/0.97 % set(auto2) -> clear(print_initial_clauses).
% 0.42/0.97 % set(auto2) -> clear(print_given).
% 0.42/0.97 assign(lrs_ticks,-1).
% 0.42/0.97 assign(sos_limit,10000).
% 0.42/0.97 assign(order,kbo).
% 0.42/0.97 set(lex_order_vars).
% 0.42/0.97 clear(print_given).
% 0.42/0.97
% 0.42/0.97 % formulas(sos). % not echoed (3 formulas)
% 0.42/0.97
% 0.42/0.97 ============================== end of input ==========================
% 0.42/0.97
% 0.42/0.97 % From the command line: assign(max_seconds, 300).
% 0.42/0.97
% 0.42/0.97 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.42/0.97
% 0.42/0.97 % Formulas that are not ordinary clauses:
% 0.42/0.97
% 0.42/0.97 ============================== end of process non-clausal formulas ===
% 0.42/0.97
% 0.42/0.97 ============================== PROCESS INITIAL CLAUSES ===============
% 0.42/0.97
% 0.42/0.97 ============================== PREDICATE ELIMINATION =================
% 0.42/0.97
% 0.42/0.97 ============================== end predicate elimination =============
% 0.42/0.97
% 0.42/0.97 Auto_denials:
% 0.42/0.97 % copying label prove_lg_2 to answer in negative clause
% 0.42/0.97
% 0.42/0.97 Term ordering decisions:
% 0.42/0.97 Function symbol KB weights: a=1. b=1. c=1. e=1. equivalent=1.
% 0.42/0.97
% 0.42/0.97 ============================== end of process initial clauses ========
% 0.42/0.97
% 0.42/0.97 ============================== CLAUSES FOR SEARCH ====================
% 0.42/0.97
% 0.42/0.97 ============================== end of clauses for search =============
% 0.42/0.97
% 0.42/0.97 ============================== SEARCH ================================
% 0.42/0.97
% 0.42/0.97 % Starting search at 0.01 seconds.
% 0.42/0.97
% 0.42/0.97 ============================== PROOF =================================
% 0.42/0.97 % SZS status Unsatisfiable
% 0.42/0.97 % SZS output start Refutation
% 0.42/0.97
% 0.42/0.97 % Proof 1 at 0.01 (+ 0.00) seconds: prove_lg_2.
% 0.42/0.97 % Length of proof is 15.
% 0.42/0.97 % Level of proof is 11.
% 0.42/0.97 % Maximum clause weight is 24.000.
% 0.42/0.97 % Given clauses 15.
% 0.42/0.97
% 0.42/0.97 1 is_a_theorem(equivalent(equivalent(A,equivalent(equivalent(B,C),equivalent(equivalent(B,D),equivalent(C,D)))),A)) # label(p_4) # label(axiom). [assumption].
% 0.42/0.97 2 -is_a_theorem(equivalent(a,equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))))) # label(prove_lg_2) # label(negated_conjecture) # answer(prove_lg_2). [assumption].
% 0.42/0.97 3 -is_a_theorem(equivalent(A,B)) | -is_a_theorem(A) | is_a_theorem(B) # label(condensed_detachment) # label(axiom). [assumption].
% 0.42/0.97 4 is_a_theorem(equivalent(equivalent(equivalent(A,B),equivalent(equivalent(A,C),equivalent(B,C))),equivalent(equivalent(D,E),equivalent(equivalent(D,F),equivalent(E,F))))). [hyper(3,a,1,a,b,1,a)].
% 0.42/0.97 5 is_a_theorem(equivalent(equivalent(A,B),equivalent(equivalent(A,C),equivalent(B,C)))). [hyper(3,a,1,a,b,4,a)].
% 0.42/0.97 6 is_a_theorem(equivalent(equivalent(equivalent(A,B),C),equivalent(equivalent(equivalent(A,D),equivalent(B,D)),C))). [hyper(3,a,5,a,b,5,a)].
% 0.42/0.97 8 is_a_theorem(equivalent(equivalent(equivalent(A,equivalent(equivalent(B,C),equivalent(equivalent(B,D),equivalent(C,D)))),E),equivalent(A,E))). [hyper(3,a,5,a,b,1,a)].
% 0.42/0.97 12 is_a_theorem(equivalent(equivalent(equivalent(A,B),equivalent(C,B)),equivalent(equivalent(A,D),equivalent(C,D)))). [hyper(3,a,6,a,b,5,a)].
% 0.42/0.97 21 is_a_theorem(equivalent(equivalent(equivalent(A,B),C),equivalent(equivalent(A,B),C))). [hyper(3,a,12,a,b,12,a)].
% 0.42/0.97 31 is_a_theorem(equivalent(equivalent(equivalent(equivalent(A,B),C),equivalent(D,C)),equivalent(equivalent(A,B),D))). [hyper(3,a,6,a,b,21,a)].
% 0.42/0.97 35 is_a_theorem(equivalent(equivalent(A,B),equivalent(A,B))). [hyper(3,a,31,a,b,21,a)].
% 0.42/0.97 36 is_a_theorem(equivalent(equivalent(equivalent(A,B),equivalent(C,B)),equivalent(A,C))). [hyper(3,a,6,a,b,35,a)].
% 0.42/0.97 40 is_a_theorem(equivalent(A,A)). [hyper(3,a,36,a,b,35,a)].
% 0.42/0.97 52 is_a_theorem(equivalent(A,equivalent(A,equivalent(equivalent(B,C),equivalent(equivalent(B,D),equivalent(C,D)))))). [hyper(3,a,8,a,b,40,a)].
% 0.42/0.97 53 $F # answer(prove_lg_2). [resolve(52,a,2,a)].
% 0.42/0.97
% 0.42/0.97 % SZS output end Refutation
% 0.42/0.97 ============================== end of proof ==========================
% 0.42/0.97
% 0.42/0.97 ============================== STATISTICS ============================
% 0.42/0.97
% 0.42/0.97 Given=15. Generated=119. Kept=52. proofs=1.
% 0.42/0.97 Usable=12. Sos=33. Demods=0. Limbo=0, Disabled=9. Hints=0.
% 0.42/0.97 Megabytes=0.10.
% 0.42/0.97 User_CPU=0.01, System_CPU=0.00, Wall_clock=0.
% 0.42/0.97
% 0.42/0.97 ============================== end of statistics =====================
% 0.42/0.97
% 0.42/0.97 ============================== end of search =========================
% 0.42/0.97
% 0.42/0.97 THEOREM PROVED
% 0.42/0.97 % SZS status Unsatisfiable
% 0.42/0.97
% 0.42/0.97 Exiting with 1 proof.
% 0.42/0.97
% 0.42/0.97 Process 1573 exit (max_proofs) Mon Jul 4 04:37:45 2022
% 0.42/0.97 Prover9 interrupted
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