TSTP Solution File: SYN334-1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : SYN334-1 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n023.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 11:18:15 EDT 2022
% Result : Unsatisfiable 0.67s 0.97s
% Output : Refutation 0.67s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SYN334-1 : TPTP v8.1.0. Released v1.2.0.
% 0.03/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.33 % Computer : n023.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 : Tue Jul 12 04:36:24 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.67/0.97 ============================== Prover9 ===============================
% 0.67/0.97 Prover9 (32) version 2009-11A, November 2009.
% 0.67/0.97 Process 13298 was started by sandbox on n023.cluster.edu,
% 0.67/0.97 Tue Jul 12 04:36:25 2022
% 0.67/0.97 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_13145_n023.cluster.edu".
% 0.67/0.97 ============================== end of head ===========================
% 0.67/0.97
% 0.67/0.97 ============================== INPUT =================================
% 0.67/0.97
% 0.67/0.97 % Reading from file /tmp/Prover9_13145_n023.cluster.edu
% 0.67/0.97
% 0.67/0.97 set(prolog_style_variables).
% 0.67/0.97 set(auto2).
% 0.67/0.97 % set(auto2) -> set(auto).
% 0.67/0.97 % set(auto) -> set(auto_inference).
% 0.67/0.97 % set(auto) -> set(auto_setup).
% 0.67/0.97 % set(auto_setup) -> set(predicate_elim).
% 0.67/0.97 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.67/0.97 % set(auto) -> set(auto_limits).
% 0.67/0.97 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.67/0.97 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.67/0.97 % set(auto) -> set(auto_denials).
% 0.67/0.97 % set(auto) -> set(auto_process).
% 0.67/0.97 % set(auto2) -> assign(new_constants, 1).
% 0.67/0.97 % set(auto2) -> assign(fold_denial_max, 3).
% 0.67/0.97 % set(auto2) -> assign(max_weight, "200.000").
% 0.67/0.97 % set(auto2) -> assign(max_hours, 1).
% 0.67/0.97 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.67/0.97 % set(auto2) -> assign(max_seconds, 0).
% 0.67/0.97 % set(auto2) -> assign(max_minutes, 5).
% 0.67/0.97 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.67/0.97 % set(auto2) -> set(sort_initial_sos).
% 0.67/0.97 % set(auto2) -> assign(sos_limit, -1).
% 0.67/0.97 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.67/0.97 % set(auto2) -> assign(max_megs, 400).
% 0.67/0.97 % set(auto2) -> assign(stats, some).
% 0.67/0.97 % set(auto2) -> clear(echo_input).
% 0.67/0.97 % set(auto2) -> set(quiet).
% 0.67/0.97 % set(auto2) -> clear(print_initial_clauses).
% 0.67/0.97 % set(auto2) -> clear(print_given).
% 0.67/0.97 assign(lrs_ticks,-1).
% 0.67/0.97 assign(sos_limit,10000).
% 0.67/0.97 assign(order,kbo).
% 0.67/0.97 set(lex_order_vars).
% 0.67/0.97 clear(print_given).
% 0.67/0.97
% 0.67/0.97 % formulas(sos). % not echoed (7 formulas)
% 0.67/0.97
% 0.67/0.97 ============================== end of input ==========================
% 0.67/0.97
% 0.67/0.97 % From the command line: assign(max_seconds, 300).
% 0.67/0.97
% 0.67/0.97 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.67/0.97
% 0.67/0.97 % Formulas that are not ordinary clauses:
% 0.67/0.97
% 0.67/0.97 ============================== end of process non-clausal formulas ===
% 0.67/0.97
% 0.67/0.97 ============================== PROCESS INITIAL CLAUSES ===============
% 0.67/0.97
% 0.67/0.97 ============================== PREDICATE ELIMINATION =================
% 0.67/0.97
% 0.67/0.97 ============================== end predicate elimination =============
% 0.67/0.97
% 0.67/0.97 Auto_denials: (non-Horn, no changes).
% 0.67/0.97
% 0.67/0.97 Term ordering decisions:
% 0.67/0.97 Function symbol KB weights: z=1.
% 0.67/0.97
% 0.67/0.97 ============================== end of process initial clauses ========
% 0.67/0.97
% 0.67/0.97 ============================== CLAUSES FOR SEARCH ====================
% 0.67/0.97
% 0.67/0.97 ============================== end of clauses for search =============
% 0.67/0.97
% 0.67/0.97 ============================== SEARCH ================================
% 0.67/0.97
% 0.67/0.97 % Starting search at 0.01 seconds.
% 0.67/0.97
% 0.67/0.97 ============================== PROOF =================================
% 0.67/0.97 % SZS status Unsatisfiable
% 0.67/0.97 % SZS output start Refutation
% 0.67/0.97
% 0.67/0.97 % Proof 1 at 0.02 (+ 0.00) seconds.
% 0.67/0.97 % Length of proof is 23.
% 0.67/0.97 % Level of proof is 14.
% 0.67/0.97 % Maximum clause weight is 37.000.
% 0.67/0.97 % Given clauses 24.
% 0.67/0.97
% 0.67/0.97 1 f(z(A,B),z(A,B)) | f(A,B) # label(clause4) # label(negated_conjecture). [assumption].
% 0.67/0.97 2 g(A,B) | g(z(A,B),z(A,B)) # label(clause6) # label(negated_conjecture). [assumption].
% 0.67/0.97 3 -g(A,B) | -g(z(A,B),z(A,B)) # label(clause7) # label(negated_conjecture). [assumption].
% 0.67/0.97 4 -g(z(A,B),z(A,B)) | f(A,B) # label(clause5) # label(negated_conjecture). [assumption].
% 0.67/0.97 5 -f(A,B) | f(A,z(A,B)) | -g(B,z(A,B)) # label(clause1) # label(negated_conjecture). [assumption].
% 0.67/0.97 6 -f(A,B) | -f(A,z(A,B)) | g(B,z(A,B)) # label(clause2) # label(negated_conjecture). [assumption].
% 0.67/0.97 7 -f(z(A,B),z(A,B)) | g(z(A,B),z(A,B)) | -f(A,B) # label(clause3) # label(negated_conjecture). [assumption].
% 0.67/0.97 8 f(A,B) | g(A,B). [resolve(4,a,2,b)].
% 0.67/0.97 9 f(A,z(B,A)) | -f(B,A) | f(B,z(B,A)). [resolve(8,b,5,c)].
% 0.67/0.97 10 f(z(A,B),z(A,B)) | -g(A,B). [resolve(8,b,3,b)].
% 0.67/0.97 11 f(A,z(A,A)) | -f(A,A). [factor(9,a,c)].
% 0.67/0.97 12 f(z(A,B),z(z(A,B),z(A,B))) | f(A,B). [resolve(11,b,1,a)].
% 0.67/0.97 15 f(A,B) | -f(z(A,B),z(A,B)) | g(z(A,B),z(z(A,B),z(A,B))). [resolve(12,a,6,b)].
% 0.67/0.97 19 f(A,B) | g(z(A,B),z(z(A,B),z(A,B))). [resolve(15,b,1,a),merge(c)].
% 0.67/0.97 20 f(A,B) | f(z(z(A,B),z(z(A,B),z(A,B))),z(z(A,B),z(z(A,B),z(A,B)))). [resolve(19,b,10,b)].
% 0.67/0.97 22 f(A,B) | g(z(z(A,B),z(z(A,B),z(A,B))),z(z(A,B),z(z(A,B),z(A,B)))) | -f(z(A,B),z(z(A,B),z(A,B))). [resolve(20,b,7,a)].
% 0.67/0.97 30 f(A,B) | g(z(z(A,B),z(z(A,B),z(A,B))),z(z(A,B),z(z(A,B),z(A,B)))). [resolve(22,c,12,a),merge(c)].
% 0.67/0.97 33 f(A,B) | -g(z(A,B),z(z(A,B),z(A,B))). [resolve(30,b,3,b)].
% 0.67/0.97 36 f(A,B). [resolve(33,b,19,b),merge(b)].
% 0.67/0.97 37 g(z(A,B),z(A,B)). [back_unit_del(7),unit_del(a,36),unit_del(c,36)].
% 0.67/0.97 38 g(A,z(B,A)). [back_unit_del(6),unit_del(a,36),unit_del(b,36)].
% 0.67/0.97 39 -g(A,B). [back_unit_del(3),unit_del(b,37)].
% 0.67/0.97 40 $F. [resolve(39,a,38,a)].
% 0.67/0.97
% 0.67/0.97 % SZS output end Refutation
% 0.67/0.97 ============================== end of proof ==========================
% 0.67/0.97
% 0.67/0.97 ============================== STATISTICS ============================
% 0.67/0.97
% 0.67/0.97 Given=24. Generated=57. Kept=39. proofs=1.
% 0.67/0.97 Usable=0. Sos=1. Demods=0. Limbo=2, Disabled=42. Hints=0.
% 0.67/0.97 Megabytes=0.11.
% 0.67/0.97 User_CPU=0.02, System_CPU=0.00, Wall_clock=0.
% 0.67/0.97
% 0.67/0.97 ============================== end of statistics =====================
% 0.67/0.97
% 0.67/0.97 ============================== end of search =========================
% 0.67/0.97
% 0.67/0.97 THEOREM PROVED
% 0.67/0.97 % SZS status Unsatisfiable
% 0.67/0.97
% 0.67/0.97 Exiting with 1 proof.
% 0.67/0.97
% 0.67/0.97 Process 13298 exit (max_proofs) Tue Jul 12 04:36:25 2022
% 0.67/0.97 Prover9 interrupted
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