TSTP Solution File: CAT001-4 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : CAT001-4 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n032.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 : Fri Jul 15 00:06:12 EDT 2022
% Result : Unsatisfiable 0.53s 0.82s
% Output : Refutation 0.53s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : CAT001-4 : TPTP v8.1.0. Released v1.0.0.
% 0.00/0.11 % Command : tptp2X_and_run_prover9 %d %s
% 0.10/0.30 % Computer : n032.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 600
% 0.10/0.30 % DateTime : Sun May 29 17:36:41 EDT 2022
% 0.10/0.30 % CPUTime :
% 0.53/0.82 ============================== Prover9 ===============================
% 0.53/0.82 Prover9 (32) version 2009-11A, November 2009.
% 0.53/0.82 Process 28773 was started by sandbox on n032.cluster.edu,
% 0.53/0.82 Sun May 29 17:36:42 2022
% 0.53/0.82 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_28620_n032.cluster.edu".
% 0.53/0.82 ============================== end of head ===========================
% 0.53/0.82
% 0.53/0.82 ============================== INPUT =================================
% 0.53/0.82
% 0.53/0.82 % Reading from file /tmp/Prover9_28620_n032.cluster.edu
% 0.53/0.82
% 0.53/0.82 set(prolog_style_variables).
% 0.53/0.82 set(auto2).
% 0.53/0.82 % set(auto2) -> set(auto).
% 0.53/0.82 % set(auto) -> set(auto_inference).
% 0.53/0.82 % set(auto) -> set(auto_setup).
% 0.53/0.82 % set(auto_setup) -> set(predicate_elim).
% 0.53/0.82 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.53/0.82 % set(auto) -> set(auto_limits).
% 0.53/0.82 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.53/0.82 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.53/0.82 % set(auto) -> set(auto_denials).
% 0.53/0.82 % set(auto) -> set(auto_process).
% 0.53/0.82 % set(auto2) -> assign(new_constants, 1).
% 0.53/0.82 % set(auto2) -> assign(fold_denial_max, 3).
% 0.53/0.82 % set(auto2) -> assign(max_weight, "200.000").
% 0.53/0.82 % set(auto2) -> assign(max_hours, 1).
% 0.53/0.82 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.53/0.82 % set(auto2) -> assign(max_seconds, 0).
% 0.53/0.82 % set(auto2) -> assign(max_minutes, 5).
% 0.53/0.82 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.53/0.82 % set(auto2) -> set(sort_initial_sos).
% 0.53/0.82 % set(auto2) -> assign(sos_limit, -1).
% 0.53/0.82 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.53/0.82 % set(auto2) -> assign(max_megs, 400).
% 0.53/0.82 % set(auto2) -> assign(stats, some).
% 0.53/0.82 % set(auto2) -> clear(echo_input).
% 0.53/0.82 % set(auto2) -> set(quiet).
% 0.53/0.82 % set(auto2) -> clear(print_initial_clauses).
% 0.53/0.82 % set(auto2) -> clear(print_given).
% 0.53/0.82 assign(lrs_ticks,-1).
% 0.53/0.82 assign(sos_limit,10000).
% 0.53/0.82 assign(order,kbo).
% 0.53/0.82 set(lex_order_vars).
% 0.53/0.82 clear(print_given).
% 0.53/0.82
% 0.53/0.82 % formulas(sos). % not echoed (16 formulas)
% 0.53/0.82
% 0.53/0.82 ============================== end of input ==========================
% 0.53/0.82
% 0.53/0.82 % From the command line: assign(max_seconds, 300).
% 0.53/0.82
% 0.53/0.82 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.53/0.82
% 0.53/0.82 % Formulas that are not ordinary clauses:
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% 0.53/0.82 ============================== end of process non-clausal formulas ===
% 0.53/0.82
% 0.53/0.82 ============================== PROCESS INITIAL CLAUSES ===============
% 0.53/0.82
% 0.53/0.82 ============================== PREDICATE ELIMINATION =================
% 0.53/0.82 1 -there_exists(A) | A != B | equivalent(A,B) # label(existence_and_equality_implies_equivalence1) # label(axiom). [assumption].
% 0.53/0.82 2 -equivalent(A,B) | there_exists(A) # label(equivalence_implies_existence1) # label(axiom). [assumption].
% 0.53/0.82 3 -equivalent(A,B) | A = B # label(equivalence_implies_existence2) # label(axiom). [assumption].
% 0.53/0.82
% 0.53/0.82 ============================== end predicate elimination =============
% 0.53/0.82
% 0.53/0.82 Auto_denials:
% 0.53/0.82 % copying label prove_h_equals_g to answer in negative clause
% 0.53/0.82
% 0.53/0.82 Term ordering decisions:
% 0.53/0.82 Function symbol KB weights: b=1. a=1. h=1. g=1. compose=1. domain=1. codomain=1.
% 0.53/0.82
% 0.53/0.82 ============================== end of process initial clauses ========
% 0.53/0.82
% 0.53/0.82 ============================== CLAUSES FOR SEARCH ====================
% 0.53/0.82
% 0.53/0.82 ============================== end of clauses for search =============
% 0.53/0.82
% 0.53/0.82 ============================== SEARCH ================================
% 0.53/0.82
% 0.53/0.82 % Starting search at 0.01 seconds.
% 0.53/0.82
% 0.53/0.82 ============================== PROOF =================================
% 0.53/0.82 % SZS status Unsatisfiable
% 0.53/0.82 % SZS output start Refutation
% 0.53/0.82
% 0.53/0.82 % Proof 1 at 0.01 (+ 0.00) seconds: prove_h_equals_g.
% 0.53/0.82 % Length of proof is 9.
% 0.53/0.82 % Level of proof is 3.
% 0.53/0.82 % Maximum clause weight is 17.000.
% 0.53/0.82 % Given clauses 13.
% 0.53/0.82
% 0.53/0.82 8 compose(b,h) = compose(b,g) # label(bh_equals_bg) # label(hypothesis). [assumption].
% 0.53/0.82 9 compose(b,g) = compose(b,h). [copy(8),flip(a)].
% 0.53/0.82 10 compose(A,compose(B,C)) = compose(compose(A,B),C) # label(associativity_of_compose) # label(axiom). [assumption].
% 0.53/0.82 11 compose(compose(A,B),C) = compose(A,compose(B,C)). [copy(10),flip(a)].
% 0.53/0.82 12 h != g # label(prove_h_equals_g) # label(negated_conjecture) # answer(prove_h_equals_g). [assumption].
% 0.53/0.82 13 g != h # answer(prove_h_equals_g). [copy(12),flip(a)].
% 0.53/0.82 21 compose(compose(a,b),A) != B | compose(compose(a,b),C) != B | A = C # label(monomorphism) # label(hypothesis). [assumption].
% 0.53/0.82 22 compose(a,compose(b,A)) != B | compose(a,compose(b,C)) != B | A = C. [copy(21),rewrite([11(4),11(9)])].
% 0.53/0.82 38 $F # answer(prove_h_equals_g). [ur(22,b,11,a(flip),c,13,a),rewrite([9(4),11(10)]),xx(a)].
% 0.53/0.82
% 0.53/0.82 % SZS output end Refutation
% 0.53/0.82 ============================== end of proof ==========================
% 0.53/0.82
% 0.53/0.82 ============================== STATISTICS ============================
% 0.53/0.82
% 0.53/0.82 Given=13. Generated=48. Kept=28. proofs=1.
% 0.53/0.82 Usable=13. Sos=15. Demods=10. Limbo=0, Disabled=16. Hints=0.
% 0.53/0.82 Megabytes=0.05.
% 0.53/0.82 User_CPU=0.01, System_CPU=0.00, Wall_clock=0.
% 0.53/0.82
% 0.53/0.82 ============================== end of statistics =====================
% 0.53/0.82
% 0.53/0.82 ============================== end of search =========================
% 0.53/0.82
% 0.53/0.82 THEOREM PROVED
% 0.53/0.82 % SZS status Unsatisfiable
% 0.53/0.82
% 0.53/0.82 Exiting with 1 proof.
% 0.53/0.82
% 0.53/0.82 Process 28773 exit (max_proofs) Sun May 29 17:36:42 2022
% 0.53/0.82 Prover9 interrupted
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