TSTP Solution File: SYN077-1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : SYN077-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n021.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 11:16:10 EDT 2022
% Result : Unsatisfiable 0.70s 0.99s
% Output : Refutation 0.70s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN077-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.33 % Computer : n021.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 : Mon Jul 11 22:40:08 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.70/0.99 ============================== Prover9 ===============================
% 0.70/0.99 Prover9 (32) version 2009-11A, November 2009.
% 0.70/0.99 Process 3646 was started by sandbox2 on n021.cluster.edu,
% 0.70/0.99 Mon Jul 11 22:40:09 2022
% 0.70/0.99 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_3492_n021.cluster.edu".
% 0.70/0.99 ============================== end of head ===========================
% 0.70/0.99
% 0.70/0.99 ============================== INPUT =================================
% 0.70/0.99
% 0.70/0.99 % Reading from file /tmp/Prover9_3492_n021.cluster.edu
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% 0.70/0.99 set(prolog_style_variables).
% 0.70/0.99 set(auto2).
% 0.70/0.99 % set(auto2) -> set(auto).
% 0.70/0.99 % set(auto) -> set(auto_inference).
% 0.70/0.99 % set(auto) -> set(auto_setup).
% 0.70/0.99 % set(auto_setup) -> set(predicate_elim).
% 0.70/0.99 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.70/0.99 % set(auto) -> set(auto_limits).
% 0.70/0.99 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.70/0.99 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.70/0.99 % set(auto) -> set(auto_denials).
% 0.70/0.99 % set(auto) -> set(auto_process).
% 0.70/0.99 % set(auto2) -> assign(new_constants, 1).
% 0.70/0.99 % set(auto2) -> assign(fold_denial_max, 3).
% 0.70/0.99 % set(auto2) -> assign(max_weight, "200.000").
% 0.70/0.99 % set(auto2) -> assign(max_hours, 1).
% 0.70/0.99 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.70/0.99 % set(auto2) -> assign(max_seconds, 0).
% 0.70/0.99 % set(auto2) -> assign(max_minutes, 5).
% 0.70/0.99 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.70/0.99 % set(auto2) -> set(sort_initial_sos).
% 0.70/0.99 % set(auto2) -> assign(sos_limit, -1).
% 0.70/0.99 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.70/0.99 % set(auto2) -> assign(max_megs, 400).
% 0.70/0.99 % set(auto2) -> assign(stats, some).
% 0.70/0.99 % set(auto2) -> clear(echo_input).
% 0.70/0.99 % set(auto2) -> set(quiet).
% 0.70/0.99 % set(auto2) -> clear(print_initial_clauses).
% 0.70/0.99 % set(auto2) -> clear(print_given).
% 0.70/0.99 assign(lrs_ticks,-1).
% 0.70/0.99 assign(sos_limit,10000).
% 0.70/0.99 assign(order,kbo).
% 0.70/0.99 set(lex_order_vars).
% 0.70/0.99 clear(print_given).
% 0.70/0.99
% 0.70/0.99 % formulas(sos). % not echoed (7 formulas)
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% 0.70/0.99 ============================== end of input ==========================
% 0.70/0.99
% 0.70/0.99 % From the command line: assign(max_seconds, 300).
% 0.70/0.99
% 0.70/0.99 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.70/0.99
% 0.70/0.99 % Formulas that are not ordinary clauses:
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% 0.70/0.99 ============================== end of process non-clausal formulas ===
% 0.70/0.99
% 0.70/0.99 ============================== PROCESS INITIAL CLAUSES ===============
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% 0.70/0.99 ============================== PREDICATE ELIMINATION =================
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% 0.70/0.99 ============================== end predicate elimination =============
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% 0.70/0.99 Auto_denials: (non-Horn, no changes).
% 0.70/0.99
% 0.70/0.99 Term ordering decisions:
% 0.70/0.99 Function symbol KB weights: a=1. i=1. g=1. h=1. f=1.
% 0.70/0.99
% 0.70/0.99 ============================== end of process initial clauses ========
% 0.70/0.99
% 0.70/0.99 ============================== CLAUSES FOR SEARCH ====================
% 0.70/0.99
% 0.70/0.99 ============================== end of clauses for search =============
% 0.70/0.99
% 0.70/0.99 ============================== SEARCH ================================
% 0.70/0.99
% 0.70/0.99 % Starting search at 0.01 seconds.
% 0.70/0.99
% 0.70/0.99 ============================== PROOF =================================
% 0.70/0.99 % SZS status Unsatisfiable
% 0.70/0.99 % SZS output start Refutation
% 0.70/0.99
% 0.70/0.99 % Proof 1 at 0.04 (+ 0.00) seconds.
% 0.70/0.99 % Length of proof is 22.
% 0.70/0.99 % Level of proof is 11.
% 0.70/0.99 % Maximum clause weight is 25.000.
% 0.70/0.99 % Given clauses 120.
% 0.70/0.99
% 0.70/0.99 1 big_f(A,h(A)) | big_f(A,a) # label(clause_5) # label(negated_conjecture). [assumption].
% 0.70/0.99 2 -big_f(A,a) | -big_f(A,B) | -big_f(C,g(A,B)) | -big_f(C,B) # label(clause_4) # label(negated_conjecture). [assumption].
% 0.70/0.99 3 -big_f(A,f(B)) | A = B # label(clause_1) # label(axiom). [assumption].
% 0.70/0.99 4 A != B | big_f(A,f(B)) # label(clause_2) # label(axiom). [assumption].
% 0.70/0.99 5 -big_f(A,a) | -big_f(A,B) | big_f(g(A,B),B) # label(clause_3) # label(negated_conjecture). [assumption].
% 0.70/0.99 6 -big_f(A,h(B)) | big_f(i(B,A),A) | big_f(B,a) # label(clause_6) # label(negated_conjecture). [assumption].
% 0.70/0.99 7 big_f(A,a) | big_f(i(A,B),h(A)) | -big_f(B,h(A)) # label(clause_7) # label(negated_conjecture). [assumption].
% 0.70/0.99 12 big_f(A,f(A)). [xx_res(4,a)].
% 0.70/0.99 13 big_f(i(A,A),A) | big_f(A,a). [resolve(6,a,1,a),merge(c)].
% 0.70/0.99 14 big_f(A,a) | big_f(i(A,A),h(A)). [resolve(7,c,1,a),merge(c)].
% 0.70/0.99 15 -big_f(A,a) | big_f(g(A,f(A)),f(A)). [resolve(12,a,5,b)].
% 0.70/0.99 20 big_f(a,a) | -big_f(i(a,a),A) | big_f(g(i(a,a),A),A). [resolve(13,a,5,a)].
% 0.70/0.99 53 big_f(a,a) | big_f(g(i(a,a),h(a)),h(a)). [resolve(20,b,14,b),merge(c)].
% 0.70/0.99 54 big_f(a,a) | big_f(i(a,g(i(a,a),h(a))),h(a)). [resolve(53,b,7,c),merge(b)].
% 0.70/0.99 55 big_f(a,a) | big_f(i(a,g(i(a,a),h(a))),g(i(a,a),h(a))). [resolve(53,b,6,a),merge(c)].
% 0.70/0.99 98 big_f(a,a) | -big_f(i(a,a),a) | -big_f(i(a,a),h(a)) | -big_f(i(a,g(i(a,a),h(a))),h(a)). [resolve(55,b,2,c)].
% 0.70/0.99 221 big_f(a,a) | -big_f(i(a,a),a) | -big_f(i(a,a),h(a)). [resolve(98,d,54,b),merge(d)].
% 0.70/0.99 222 big_f(a,a) | -big_f(i(a,a),a). [resolve(221,c,14,b),merge(c)].
% 0.70/0.99 223 big_f(a,a). [resolve(222,b,13,a),merge(b)].
% 0.70/0.99 224 big_f(g(a,f(a)),f(a)). [resolve(223,a,15,a)].
% 0.70/0.99 241 g(a,f(a)) = a. [resolve(224,a,3,a)].
% 0.70/0.99 242 $F. [ur(2,a,223,a,b,12,a,d,224,a),rewrite([241(4),241(5)]),unit_del(a,223)].
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% 0.70/0.99 % SZS output end Refutation
% 0.70/0.99 ============================== end of proof ==========================
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% 0.70/0.99 ============================== STATISTICS ============================
% 0.70/0.99
% 0.70/0.99 Given=120. Generated=375. Kept=241. proofs=1.
% 0.70/0.99 Usable=80. Sos=79. Demods=1. Limbo=2, Disabled=87. Hints=0.
% 0.70/0.99 Megabytes=0.41.
% 0.70/0.99 User_CPU=0.04, System_CPU=0.00, Wall_clock=0.
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% 0.70/0.99 ============================== end of statistics =====================
% 0.70/0.99
% 0.70/0.99 ============================== end of search =========================
% 0.70/0.99
% 0.70/0.99 THEOREM PROVED
% 0.70/0.99 % SZS status Unsatisfiable
% 0.70/0.99
% 0.70/0.99 Exiting with 1 proof.
% 0.70/0.99
% 0.70/0.99 Process 3646 exit (max_proofs) Mon Jul 11 22:40:09 2022
% 0.70/0.99 Prover9 interrupted
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