TSTP Solution File: SYN012-1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : SYN012-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n012.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 : Thu Jul 21 11:15:27 EDT 2022
% Result : Unsatisfiable 0.45s 1.01s
% Output : Refutation 0.45s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SYN012-1 : TPTP v8.1.0. Released v1.1.0.
% 0.04/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.13/0.34 % Computer : n012.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 : Tue Jul 12 01:13:42 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.45/1.01 ============================== Prover9 ===============================
% 0.45/1.01 Prover9 (32) version 2009-11A, November 2009.
% 0.45/1.01 Process 4970 was started by sandbox on n012.cluster.edu,
% 0.45/1.01 Tue Jul 12 01:13:43 2022
% 0.45/1.01 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_4592_n012.cluster.edu".
% 0.45/1.01 ============================== end of head ===========================
% 0.45/1.01
% 0.45/1.01 ============================== INPUT =================================
% 0.45/1.01
% 0.45/1.01 % Reading from file /tmp/Prover9_4592_n012.cluster.edu
% 0.45/1.01
% 0.45/1.01 set(prolog_style_variables).
% 0.45/1.01 set(auto2).
% 0.45/1.01 % set(auto2) -> set(auto).
% 0.45/1.01 % set(auto) -> set(auto_inference).
% 0.45/1.01 % set(auto) -> set(auto_setup).
% 0.45/1.01 % set(auto_setup) -> set(predicate_elim).
% 0.45/1.01 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.45/1.01 % set(auto) -> set(auto_limits).
% 0.45/1.01 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.45/1.01 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.45/1.01 % set(auto) -> set(auto_denials).
% 0.45/1.01 % set(auto) -> set(auto_process).
% 0.45/1.01 % set(auto2) -> assign(new_constants, 1).
% 0.45/1.01 % set(auto2) -> assign(fold_denial_max, 3).
% 0.45/1.01 % set(auto2) -> assign(max_weight, "200.000").
% 0.45/1.01 % set(auto2) -> assign(max_hours, 1).
% 0.45/1.01 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.45/1.01 % set(auto2) -> assign(max_seconds, 0).
% 0.45/1.01 % set(auto2) -> assign(max_minutes, 5).
% 0.45/1.01 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.45/1.01 % set(auto2) -> set(sort_initial_sos).
% 0.45/1.01 % set(auto2) -> assign(sos_limit, -1).
% 0.45/1.01 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.45/1.01 % set(auto2) -> assign(max_megs, 400).
% 0.45/1.01 % set(auto2) -> assign(stats, some).
% 0.45/1.01 % set(auto2) -> clear(echo_input).
% 0.45/1.01 % set(auto2) -> set(quiet).
% 0.45/1.01 % set(auto2) -> clear(print_initial_clauses).
% 0.45/1.01 % set(auto2) -> clear(print_given).
% 0.45/1.01 assign(lrs_ticks,-1).
% 0.45/1.01 assign(sos_limit,10000).
% 0.45/1.01 assign(order,kbo).
% 0.45/1.01 set(lex_order_vars).
% 0.45/1.01 clear(print_given).
% 0.45/1.01
% 0.45/1.01 % formulas(sos). % not echoed (7 formulas)
% 0.45/1.01
% 0.45/1.01 ============================== end of input ==========================
% 0.45/1.01
% 0.45/1.01 % From the command line: assign(max_seconds, 300).
% 0.45/1.01
% 0.45/1.01 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.45/1.01
% 0.45/1.01 % Formulas that are not ordinary clauses:
% 0.45/1.01
% 0.45/1.01 ============================== end of process non-clausal formulas ===
% 0.45/1.01
% 0.45/1.01 ============================== PROCESS INITIAL CLAUSES ===============
% 0.45/1.01
% 0.45/1.01 ============================== PREDICATE ELIMINATION =================
% 0.45/1.01
% 0.45/1.01 ============================== end predicate elimination =============
% 0.45/1.01
% 0.45/1.01 Auto_denials: (non-Horn, no changes).
% 0.45/1.01
% 0.45/1.01 Term ordering decisions:
% 0.45/1.01 Function symbol KB weights: g=1.
% 0.45/1.01
% 0.45/1.01 ============================== end of process initial clauses ========
% 0.45/1.01
% 0.45/1.01 ============================== CLAUSES FOR SEARCH ====================
% 0.45/1.01
% 0.45/1.01 ============================== end of clauses for search =============
% 0.45/1.01
% 0.45/1.01 ============================== SEARCH ================================
% 0.45/1.01
% 0.45/1.01 % Starting search at 0.01 seconds.
% 0.45/1.01
% 0.45/1.01 ============================== PROOF =================================
% 0.45/1.01 % SZS status Unsatisfiable
% 0.45/1.01 % SZS output start Refutation
% 0.45/1.01
% 0.45/1.01 % Proof 1 at 0.02 (+ 0.00) seconds.
% 0.45/1.01 % Length of proof is 23.
% 0.45/1.01 % Level of proof is 14.
% 0.45/1.01 % Maximum clause weight is 37.000.
% 0.45/1.01 % Given clauses 24.
% 0.45/1.01
% 0.45/1.01 1 big_f(A,B) | big_f(g(A,B),g(A,B)) # label(clause_4) # label(negated_conjecture). [assumption].
% 0.45/1.01 2 big_g(A,B) | big_g(g(A,B),g(A,B)) # label(clause_6) # label(negated_conjecture). [assumption].
% 0.45/1.01 3 -big_g(A,B) | -big_g(g(A,B),g(A,B)) # label(clause_7) # label(negated_conjecture). [assumption].
% 0.45/1.01 4 big_f(A,B) | -big_g(g(A,B),g(A,B)) # label(clause_5) # label(negated_conjecture). [assumption].
% 0.45/1.01 5 -big_f(A,B) | -big_f(A,g(A,B)) | big_g(B,g(A,B)) # label(clause_1) # label(negated_conjecture). [assumption].
% 0.45/1.01 6 -big_f(A,B) | big_f(A,g(A,B)) | -big_g(B,g(A,B)) # label(clause_2) # label(negated_conjecture). [assumption].
% 0.45/1.01 7 -big_f(A,B) | -big_f(g(A,B),g(A,B)) | big_g(g(A,B),g(A,B)) # label(clause_3) # label(negated_conjecture). [assumption].
% 0.45/1.01 8 big_f(A,B) | big_g(A,B). [resolve(4,b,2,b)].
% 0.45/1.01 9 big_f(A,g(B,A)) | -big_f(B,A) | big_f(B,g(B,A)). [resolve(8,b,6,c)].
% 0.45/1.01 10 big_f(g(A,B),g(A,B)) | -big_g(A,B). [resolve(8,b,3,b)].
% 0.45/1.01 11 big_f(A,g(A,A)) | -big_f(A,A). [factor(9,a,c)].
% 0.45/1.01 12 big_f(g(A,B),g(g(A,B),g(A,B))) | big_f(A,B). [resolve(11,b,1,b)].
% 0.45/1.01 15 big_f(A,B) | -big_f(g(A,B),g(A,B)) | big_g(g(A,B),g(g(A,B),g(A,B))). [resolve(12,a,5,b)].
% 0.45/1.01 19 big_f(A,B) | big_g(g(A,B),g(g(A,B),g(A,B))). [resolve(15,b,1,b),merge(c)].
% 0.45/1.01 20 big_f(A,B) | big_f(g(g(A,B),g(g(A,B),g(A,B))),g(g(A,B),g(g(A,B),g(A,B)))). [resolve(19,b,10,b)].
% 0.45/1.01 22 big_f(A,B) | -big_f(g(A,B),g(g(A,B),g(A,B))) | big_g(g(g(A,B),g(g(A,B),g(A,B))),g(g(A,B),g(g(A,B),g(A,B)))). [resolve(20,b,7,b)].
% 0.45/1.01 30 big_f(A,B) | big_g(g(g(A,B),g(g(A,B),g(A,B))),g(g(A,B),g(g(A,B),g(A,B)))). [resolve(22,b,12,a),merge(c)].
% 0.45/1.01 33 big_f(A,B) | -big_g(g(A,B),g(g(A,B),g(A,B))). [resolve(30,b,3,b)].
% 0.45/1.01 36 big_f(A,B). [resolve(33,b,19,b),merge(b)].
% 0.45/1.01 37 big_g(g(A,B),g(A,B)). [back_unit_del(7),unit_del(a,36),unit_del(b,36)].
% 0.45/1.01 38 big_g(A,g(B,A)). [back_unit_del(5),unit_del(a,36),unit_del(b,36)].
% 0.45/1.01 39 -big_g(A,B). [back_unit_del(3),unit_del(b,37)].
% 0.45/1.01 40 $F. [resolve(39,a,38,a)].
% 0.45/1.01
% 0.45/1.01 % SZS output end Refutation
% 0.45/1.01 ============================== end of proof ==========================
% 0.45/1.01
% 0.45/1.01 ============================== STATISTICS ============================
% 0.45/1.01
% 0.45/1.01 Given=24. Generated=57. Kept=39. proofs=1.
% 0.45/1.01 Usable=0. Sos=1. Demods=0. Limbo=2, Disabled=42. Hints=0.
% 0.45/1.01 Megabytes=0.11.
% 0.45/1.01 User_CPU=0.02, System_CPU=0.00, Wall_clock=0.
% 0.45/1.01
% 0.45/1.01 ============================== end of statistics =====================
% 0.45/1.01
% 0.45/1.01 ============================== end of search =========================
% 0.45/1.01
% 0.45/1.01 THEOREM PROVED
% 0.45/1.01 % SZS status Unsatisfiable
% 0.45/1.01
% 0.45/1.01 Exiting with 1 proof.
% 0.45/1.01
% 0.45/1.01 Process 4970 exit (max_proofs) Tue Jul 12 01:13:43 2022
% 0.45/1.01 Prover9 interrupted
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