TSTP Solution File: CAT005-3 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : CAT005-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n017.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 00:06:14 EDT 2022
% Result : Unsatisfiable 0.45s 1.00s
% Output : Refutation 0.45s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : CAT005-3 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.34 % Computer : n017.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sun May 29 20:03:39 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.45/1.00 ============================== Prover9 ===============================
% 0.45/1.00 Prover9 (32) version 2009-11A, November 2009.
% 0.45/1.00 Process 4810 was started by sandbox on n017.cluster.edu,
% 0.45/1.00 Sun May 29 20:03:40 2022
% 0.45/1.00 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_4656_n017.cluster.edu".
% 0.45/1.00 ============================== end of head ===========================
% 0.45/1.00
% 0.45/1.00 ============================== INPUT =================================
% 0.45/1.00
% 0.45/1.00 % Reading from file /tmp/Prover9_4656_n017.cluster.edu
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% 0.45/1.00 set(prolog_style_variables).
% 0.45/1.00 set(auto2).
% 0.45/1.00 % set(auto2) -> set(auto).
% 0.45/1.00 % set(auto) -> set(auto_inference).
% 0.45/1.00 % set(auto) -> set(auto_setup).
% 0.45/1.00 % set(auto_setup) -> set(predicate_elim).
% 0.45/1.00 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.45/1.00 % set(auto) -> set(auto_limits).
% 0.45/1.00 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.45/1.00 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.45/1.00 % set(auto) -> set(auto_denials).
% 0.45/1.00 % set(auto) -> set(auto_process).
% 0.45/1.00 % set(auto2) -> assign(new_constants, 1).
% 0.45/1.00 % set(auto2) -> assign(fold_denial_max, 3).
% 0.45/1.00 % set(auto2) -> assign(max_weight, "200.000").
% 0.45/1.00 % set(auto2) -> assign(max_hours, 1).
% 0.45/1.00 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.45/1.00 % set(auto2) -> assign(max_seconds, 0).
% 0.45/1.00 % set(auto2) -> assign(max_minutes, 5).
% 0.45/1.00 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.45/1.00 % set(auto2) -> set(sort_initial_sos).
% 0.45/1.00 % set(auto2) -> assign(sos_limit, -1).
% 0.45/1.00 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.45/1.00 % set(auto2) -> assign(max_megs, 400).
% 0.45/1.00 % set(auto2) -> assign(stats, some).
% 0.45/1.00 % set(auto2) -> clear(echo_input).
% 0.45/1.00 % set(auto2) -> set(quiet).
% 0.45/1.00 % set(auto2) -> clear(print_initial_clauses).
% 0.45/1.00 % set(auto2) -> clear(print_given).
% 0.45/1.00 assign(lrs_ticks,-1).
% 0.45/1.00 assign(sos_limit,10000).
% 0.45/1.00 assign(order,kbo).
% 0.45/1.00 set(lex_order_vars).
% 0.45/1.00 clear(print_given).
% 0.45/1.00
% 0.45/1.00 % formulas(sos). % not echoed (21 formulas)
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% 0.45/1.00 ============================== end of input ==========================
% 0.45/1.00
% 0.45/1.00 % From the command line: assign(max_seconds, 300).
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% 0.45/1.00 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.45/1.00
% 0.45/1.00 % Formulas that are not ordinary clauses:
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% 0.45/1.00 ============================== end of process non-clausal formulas ===
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% 0.45/1.00 ============================== PROCESS INITIAL CLAUSES ===============
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% 0.45/1.00 ============================== PREDICATE ELIMINATION =================
% 0.45/1.00 1 -there_exists(A) | A != B | equivalent(A,B) # label(existence_and_equality_implies_equivalence1) # label(axiom). [assumption].
% 0.45/1.00 2 -equivalent(A,B) | there_exists(A) # label(equivalence_implies_existence1) # label(axiom). [assumption].
% 0.45/1.00 3 -equivalent(A,B) | there_exists(B) # label(equivalence_implies_existence3) # label(axiom). [assumption].
% 0.45/1.00 4 -equivalent(A,B) | A = B # label(equivalence_implies_existence2) # label(axiom). [assumption].
% 0.45/1.00 Derived: -there_exists(A) | A != B | there_exists(B). [resolve(1,c,3,a)].
% 0.45/1.00 5 -there_exists(A) | -there_exists(B) | A != B | equivalent(A,B) # label(existence_and_equality_implies_equivalence2) # label(axiom). [assumption].
% 0.45/1.00
% 0.45/1.00 ============================== end predicate elimination =============
% 0.45/1.00
% 0.45/1.00 Auto_denials: (non-Horn, no changes).
% 0.45/1.00
% 0.45/1.00 Term ordering decisions:
% 0.45/1.00 Function symbol KB weights: d=1. a=1. compose=1. f1=1. domain=1. codomain=1.
% 0.45/1.00
% 0.45/1.00 ============================== end of process initial clauses ========
% 0.45/1.00
% 0.45/1.00 ============================== CLAUSES FOR SEARCH ====================
% 0.45/1.00
% 0.45/1.00 ============================== end of clauses for search =============
% 0.45/1.00
% 0.45/1.00 ============================== SEARCH ================================
% 0.45/1.00
% 0.45/1.00 % Starting search at 0.01 seconds.
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% 0.45/1.00 ============================== PROOF =================================
% 0.45/1.00 % SZS status Unsatisfiable
% 0.45/1.00 % SZS output start Refutation
% 0.45/1.00
% 0.45/1.00 % Proof 1 at 0.02 (+ 0.00) seconds.
% 0.45/1.00 % Length of proof is 14.
% 0.45/1.00 % Level of proof is 4.
% 0.45/1.00 % Maximum clause weight is 9.000.
% 0.45/1.00 % Given clauses 30.
% 0.45/1.00
% 0.45/1.00 6 there_exists(compose(a,d)) # label(ad_exists) # label(hypothesis). [assumption].
% 0.45/1.00 8 compose(codomain(A),A) = A # label(compose_codomain) # label(axiom). [assumption].
% 0.45/1.00 14 domain(a) != d # label(prove_domain_of_a_is_d) # label(negated_conjecture). [assumption].
% 0.45/1.00 16 -there_exists(codomain(A)) | there_exists(A) # label(codomain_has_elements) # label(axiom). [assumption].
% 0.45/1.00 17 -there_exists(compose(A,B)) | there_exists(domain(A)) # label(composition_implies_domain) # label(axiom). [assumption].
% 0.45/1.00 19 -there_exists(compose(A,B)) | domain(A) = codomain(B) # label(domain_codomain_composition1) # label(axiom). [assumption].
% 0.45/1.00 20 -there_exists(compose(A,B)) | codomain(B) = domain(A). [copy(19),flip(b)].
% 0.45/1.00 21 -there_exists(compose(A,d)) | compose(A,d) = A # label(xd_equals_x) # label(hypothesis). [assumption].
% 0.45/1.00 33 there_exists(domain(a)). [resolve(17,a,6,a)].
% 0.45/1.00 41 codomain(d) = domain(a). [resolve(20,a,6,a)].
% 0.45/1.00 46 -there_exists(d) | compose(domain(a),d) = domain(a). [para(8(a,1),21(a,1)),rewrite([41(4),41(8)])].
% 0.45/1.00 91 compose(domain(a),d) = d. [para(41(a,1),8(a,1,1))].
% 0.45/1.00 92 there_exists(d). [para(41(a,1),16(a,1)),unit_del(a,33)].
% 0.45/1.00 94 $F. [back_rewrite(46),rewrite([91(6)]),flip(b),unit_del(a,92),unit_del(b,14)].
% 0.45/1.00
% 0.45/1.00 % SZS output end Refutation
% 0.45/1.00 ============================== end of proof ==========================
% 0.45/1.00
% 0.45/1.00 ============================== STATISTICS ============================
% 0.45/1.00
% 0.45/1.00 Given=30. Generated=170. Kept=83. proofs=1.
% 0.45/1.00 Usable=29. Sos=49. Demods=18. Limbo=3, Disabled=24. Hints=0.
% 0.45/1.00 Megabytes=0.09.
% 0.45/1.00 User_CPU=0.02, System_CPU=0.00, Wall_clock=0.
% 0.45/1.00
% 0.45/1.00 ============================== end of statistics =====================
% 0.45/1.00
% 0.45/1.00 ============================== end of search =========================
% 0.45/1.00
% 0.45/1.00 THEOREM PROVED
% 0.45/1.00 % SZS status Unsatisfiable
% 0.45/1.00
% 0.45/1.00 Exiting with 1 proof.
% 0.45/1.00
% 0.45/1.00 Process 4810 exit (max_proofs) Sun May 29 20:03:40 2022
% 0.45/1.00 Prover9 interrupted
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