TSTP Solution File: CAT011-4 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : CAT011-4 : 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 00:06:16 EDT 2022
% Result : Unsatisfiable 0.49s 0.81s
% Output : Refutation 0.49s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : CAT011-4 : TPTP v8.1.0. Released v1.0.0.
% 0.05/0.10 % Command : tptp2X_and_run_prover9 %d %s
% 0.10/0.29 % Computer : n032.cluster.edu
% 0.10/0.29 % Model : x86_64 x86_64
% 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29 % Memory : 8042.1875MB
% 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29 % CPULimit : 300
% 0.10/0.29 % WCLimit : 600
% 0.10/0.29 % DateTime : Sun May 29 17:12:26 EDT 2022
% 0.10/0.30 % CPUTime :
% 0.49/0.81 ============================== Prover9 ===============================
% 0.49/0.81 Prover9 (32) version 2009-11A, November 2009.
% 0.49/0.81 Process 2093 was started by sandbox2 on n032.cluster.edu,
% 0.49/0.81 Sun May 29 17:12:27 2022
% 0.49/0.81 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_1939_n032.cluster.edu".
% 0.49/0.81 ============================== end of head ===========================
% 0.49/0.81
% 0.49/0.81 ============================== INPUT =================================
% 0.49/0.81
% 0.49/0.81 % Reading from file /tmp/Prover9_1939_n032.cluster.edu
% 0.49/0.81
% 0.49/0.81 set(prolog_style_variables).
% 0.49/0.81 set(auto2).
% 0.49/0.81 % set(auto2) -> set(auto).
% 0.49/0.81 % set(auto) -> set(auto_inference).
% 0.49/0.81 % set(auto) -> set(auto_setup).
% 0.49/0.81 % set(auto_setup) -> set(predicate_elim).
% 0.49/0.81 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.49/0.81 % set(auto) -> set(auto_limits).
% 0.49/0.81 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.49/0.81 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.49/0.81 % set(auto) -> set(auto_denials).
% 0.49/0.81 % set(auto) -> set(auto_process).
% 0.49/0.81 % set(auto2) -> assign(new_constants, 1).
% 0.49/0.81 % set(auto2) -> assign(fold_denial_max, 3).
% 0.49/0.81 % set(auto2) -> assign(max_weight, "200.000").
% 0.49/0.81 % set(auto2) -> assign(max_hours, 1).
% 0.49/0.81 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.49/0.81 % set(auto2) -> assign(max_seconds, 0).
% 0.49/0.81 % set(auto2) -> assign(max_minutes, 5).
% 0.49/0.81 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.49/0.81 % set(auto2) -> set(sort_initial_sos).
% 0.49/0.81 % set(auto2) -> assign(sos_limit, -1).
% 0.49/0.81 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.49/0.81 % set(auto2) -> assign(max_megs, 400).
% 0.49/0.81 % set(auto2) -> assign(stats, some).
% 0.49/0.81 % set(auto2) -> clear(echo_input).
% 0.49/0.81 % set(auto2) -> set(quiet).
% 0.49/0.81 % set(auto2) -> clear(print_initial_clauses).
% 0.49/0.81 % set(auto2) -> clear(print_given).
% 0.49/0.81 assign(lrs_ticks,-1).
% 0.49/0.81 assign(sos_limit,10000).
% 0.49/0.81 assign(order,kbo).
% 0.49/0.81 set(lex_order_vars).
% 0.49/0.81 clear(print_given).
% 0.49/0.81
% 0.49/0.81 % formulas(sos). % not echoed (13 formulas)
% 0.49/0.81
% 0.49/0.81 ============================== end of input ==========================
% 0.49/0.81
% 0.49/0.81 % From the command line: assign(max_seconds, 300).
% 0.49/0.81
% 0.49/0.81 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.49/0.81
% 0.49/0.81 % Formulas that are not ordinary clauses:
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% 0.49/0.81 ============================== end of process non-clausal formulas ===
% 0.49/0.81
% 0.49/0.81 ============================== PROCESS INITIAL CLAUSES ===============
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% 0.49/0.81 ============================== PREDICATE ELIMINATION =================
% 0.49/0.81 1 -there_exists(A) | A != B | equivalent(A,B) # label(existence_and_equality_implies_equivalence1) # label(axiom). [assumption].
% 0.49/0.81 2 -equivalent(A,B) | there_exists(A) # label(equivalence_implies_existence1) # label(axiom). [assumption].
% 0.49/0.81 3 -equivalent(A,B) | A = B # label(equivalence_implies_existence2) # label(axiom). [assumption].
% 0.49/0.81
% 0.49/0.81 ============================== end predicate elimination =============
% 0.49/0.81
% 0.49/0.81 Auto_denials:
% 0.49/0.81 % copying label prove_domain_is_idempotent to answer in negative clause
% 0.49/0.81
% 0.49/0.81 Term ordering decisions:
% 0.49/0.81 Function symbol KB weights: a=1. compose=1. domain=1. codomain=1.
% 0.49/0.81
% 0.49/0.81 ============================== end of process initial clauses ========
% 0.49/0.81
% 0.49/0.81 ============================== CLAUSES FOR SEARCH ====================
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% 0.49/0.81 ============================== end of clauses for search =============
% 0.49/0.81
% 0.49/0.81 ============================== SEARCH ================================
% 0.49/0.81
% 0.49/0.81 % Starting search at 0.01 seconds.
% 0.49/0.81
% 0.49/0.81 ============================== PROOF =================================
% 0.49/0.81 % SZS status Unsatisfiable
% 0.49/0.81 % SZS output start Refutation
% 0.49/0.81
% 0.49/0.81 % Proof 1 at 0.01 (+ 0.00) seconds: prove_domain_is_idempotent.
% 0.49/0.81 % Length of proof is 15.
% 0.49/0.81 % Level of proof is 5.
% 0.49/0.81 % Maximum clause weight is 9.000.
% 0.49/0.81 % Given clauses 37.
% 0.49/0.81
% 0.49/0.81 4 there_exists(domain(a)) # label(assume_domain_exists) # label(hypothesis). [assumption].
% 0.49/0.81 5 compose(A,domain(A)) = A # label(compose_domain) # label(axiom). [assumption].
% 0.49/0.81 6 compose(codomain(A),A) = A # label(compose_codomain) # label(axiom). [assumption].
% 0.49/0.81 9 domain(domain(a)) != domain(a) # label(prove_domain_is_idempotent) # label(negated_conjecture) # answer(prove_domain_is_idempotent). [assumption].
% 0.49/0.81 10 -there_exists(domain(A)) | there_exists(A) # label(domain_has_elements) # label(axiom). [assumption].
% 0.49/0.81 13 -there_exists(compose(A,B)) | domain(A) = codomain(B) # label(domain_codomain_composition1) # label(axiom). [assumption].
% 0.49/0.81 14 -there_exists(compose(A,B)) | codomain(B) = domain(A). [copy(13),flip(b)].
% 0.49/0.81 17 domain(domain(a)) = c_0. [new_symbol(9)].
% 0.49/0.81 18 domain(a) != c_0 # answer(prove_domain_is_idempotent). [back_rewrite(9),rewrite([17(3)]),flip(a)].
% 0.49/0.81 22 there_exists(a). [hyper(10,a,4,a)].
% 0.49/0.81 26 -there_exists(A) | codomain(domain(A)) = domain(A). [para(5(a,1),14(a,1))].
% 0.49/0.81 27 -there_exists(A) | domain(codomain(A)) = codomain(A). [para(6(a,1),14(a,1)),flip(b)].
% 0.49/0.81 90 codomain(domain(a)) = domain(a). [hyper(26,a,22,a)].
% 0.49/0.81 112 domain(a) = c_0. [hyper(27,a,4,a),rewrite([90(3),17(3),90(4)]),flip(a)].
% 0.49/0.81 113 $F # answer(prove_domain_is_idempotent). [resolve(112,a,18,a)].
% 0.49/0.81
% 0.49/0.81 % SZS output end Refutation
% 0.49/0.81 ============================== end of proof ==========================
% 0.49/0.81
% 0.49/0.81 ============================== STATISTICS ============================
% 0.49/0.81
% 0.49/0.81 Given=37. Generated=224. Kept=106. proofs=1.
% 0.49/0.81 Usable=30. Sos=36. Demods=40. Limbo=10, Disabled=42. Hints=0.
% 0.49/0.81 Megabytes=0.10.
% 0.49/0.81 User_CPU=0.01, System_CPU=0.00, Wall_clock=0.
% 0.49/0.81
% 0.49/0.81 ============================== end of statistics =====================
% 0.49/0.81
% 0.49/0.81 ============================== end of search =========================
% 0.49/0.81
% 0.49/0.81 THEOREM PROVED
% 0.49/0.81 % SZS status Unsatisfiable
% 0.49/0.81
% 0.49/0.81 Exiting with 1 proof.
% 0.49/0.81
% 0.49/0.81 Process 2093 exit (max_proofs) Sun May 29 17:12:27 2022
% 0.49/0.81 Prover9 interrupted
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