TSTP Solution File: FLD008-4 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : FLD008-4 : TPTP v8.1.0. Bugfixed v2.1.0.
% 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 : Sat Jul 16 02:24:07 EDT 2022
% Result : Unsatisfiable 0.81s 1.08s
% Output : Refutation 0.81s
% 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 : FLD008-4 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.07/0.13 % 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 : Tue Jun 7 00:57:17 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.81/1.08 ============================== Prover9 ===============================
% 0.81/1.08 Prover9 (32) version 2009-11A, November 2009.
% 0.81/1.08 Process 24454 was started by sandbox2 on n017.cluster.edu,
% 0.81/1.08 Tue Jun 7 00:57:17 2022
% 0.81/1.08 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_24300_n017.cluster.edu".
% 0.81/1.08 ============================== end of head ===========================
% 0.81/1.08
% 0.81/1.08 ============================== INPUT =================================
% 0.81/1.08
% 0.81/1.08 % Reading from file /tmp/Prover9_24300_n017.cluster.edu
% 0.81/1.08
% 0.81/1.08 set(prolog_style_variables).
% 0.81/1.08 set(auto2).
% 0.81/1.08 % set(auto2) -> set(auto).
% 0.81/1.08 % set(auto) -> set(auto_inference).
% 0.81/1.08 % set(auto) -> set(auto_setup).
% 0.81/1.08 % set(auto_setup) -> set(predicate_elim).
% 0.81/1.08 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.81/1.08 % set(auto) -> set(auto_limits).
% 0.81/1.08 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.81/1.08 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.81/1.08 % set(auto) -> set(auto_denials).
% 0.81/1.08 % set(auto) -> set(auto_process).
% 0.81/1.08 % set(auto2) -> assign(new_constants, 1).
% 0.81/1.08 % set(auto2) -> assign(fold_denial_max, 3).
% 0.81/1.08 % set(auto2) -> assign(max_weight, "200.000").
% 0.81/1.08 % set(auto2) -> assign(max_hours, 1).
% 0.81/1.08 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.81/1.08 % set(auto2) -> assign(max_seconds, 0).
% 0.81/1.08 % set(auto2) -> assign(max_minutes, 5).
% 0.81/1.08 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.81/1.08 % set(auto2) -> set(sort_initial_sos).
% 0.81/1.08 % set(auto2) -> assign(sos_limit, -1).
% 0.81/1.08 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.81/1.08 % set(auto2) -> assign(max_megs, 400).
% 0.81/1.08 % set(auto2) -> assign(stats, some).
% 0.81/1.08 % set(auto2) -> clear(echo_input).
% 0.81/1.08 % set(auto2) -> set(quiet).
% 0.81/1.08 % set(auto2) -> clear(print_initial_clauses).
% 0.81/1.08 % set(auto2) -> clear(print_given).
% 0.81/1.08 assign(lrs_ticks,-1).
% 0.81/1.08 assign(sos_limit,10000).
% 0.81/1.08 assign(order,kbo).
% 0.81/1.08 set(lex_order_vars).
% 0.81/1.08 clear(print_given).
% 0.81/1.08
% 0.81/1.08 % formulas(sos). % not echoed (33 formulas)
% 0.81/1.08
% 0.81/1.08 ============================== end of input ==========================
% 0.81/1.08
% 0.81/1.08 % From the command line: assign(max_seconds, 300).
% 0.81/1.08
% 0.81/1.08 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.81/1.08
% 0.81/1.08 % Formulas that are not ordinary clauses:
% 0.81/1.08
% 0.81/1.08 ============================== end of process non-clausal formulas ===
% 0.81/1.08
% 0.81/1.08 ============================== PROCESS INITIAL CLAUSES ===============
% 0.81/1.08
% 0.81/1.08 ============================== PREDICATE ELIMINATION =================
% 0.81/1.08
% 0.81/1.08 ============================== end predicate elimination =============
% 0.81/1.08
% 0.81/1.08 Auto_denials: (non-Horn, no changes).
% 0.81/1.08
% 0.81/1.08 Term ordering decisions:
% 0.81/1.08 Function symbol KB weights: additive_identity=1. a=1. b=1. multiplicative_identity=1. c=1. d=1. add=1. multiply=1. additive_inverse=1. multiplicative_inverse=1.
% 0.81/1.08
% 0.81/1.08 ============================== end of process initial clauses ========
% 0.81/1.08
% 0.81/1.08 ============================== CLAUSES FOR SEARCH ====================
% 0.81/1.08
% 0.81/1.08 ============================== end of clauses for search =============
% 0.81/1.08
% 0.81/1.08 ============================== SEARCH ================================
% 0.81/1.08
% 0.81/1.08 % Starting search at 0.01 seconds.
% 0.81/1.08
% 0.81/1.08 ============================== PROOF =================================
% 0.81/1.08 % SZS status Unsatisfiable
% 0.81/1.08 % SZS output start Refutation
% 0.81/1.08
% 0.81/1.08 % Proof 1 at 0.10 (+ 0.00) seconds.
% 0.81/1.08 % Length of proof is 23.
% 0.81/1.08 % Level of proof is 5.
% 0.81/1.08 % Maximum clause weight is 16.000.
% 0.81/1.08 % Given clauses 145.
% 0.81/1.08
% 0.81/1.08 3 defined(a) # label(a_is_defined) # label(hypothesis). [assumption].
% 0.81/1.08 4 defined(b) # label(b_is_defined) # label(hypothesis). [assumption].
% 0.81/1.08 5 defined(c) # label(c_is_defined) # label(hypothesis). [assumption].
% 0.81/1.08 6 defined(d) # label(d_is_defined) # label(hypothesis). [assumption].
% 0.81/1.08 7 sum(a,b,c) # label(sum_5) # label(negated_conjecture). [assumption].
% 0.81/1.08 8 sum(additive_inverse(a),additive_inverse(b),d) # label(sum_6) # label(negated_conjecture). [assumption].
% 0.81/1.08 10 -sum(additive_identity,additive_inverse(c),d) # label(not_sum_7) # label(negated_conjecture). [assumption].
% 0.81/1.08 12 sum(additive_identity,A,A) | -defined(A) # label(existence_of_identity_addition) # label(axiom). [assumption].
% 0.81/1.08 14 sum(additive_inverse(A),A,additive_identity) | -defined(A) # label(existence_of_inverse_addition) # label(axiom). [assumption].
% 0.81/1.08 15 sum(A,B,C) | -sum(B,A,C) # label(commutativity_addition) # label(axiom). [assumption].
% 0.81/1.08 28 sum(A,B,C) | -sum(A,D,E) | -sum(D,F,B) | -sum(E,F,C) # label(associativity_addition_1) # label(axiom). [assumption].
% 0.81/1.08 29 sum(A,B,C) | -sum(D,E,A) | -sum(E,B,F) | -sum(D,F,C) # label(associativity_addition_2) # label(axiom). [assumption].
% 0.81/1.08 63 sum(additive_identity,d,d). [resolve(12,b,6,a)].
% 0.81/1.08 66 sum(additive_identity,a,a). [resolve(12,b,3,a)].
% 0.81/1.08 76 sum(additive_inverse(c),c,additive_identity). [resolve(14,b,5,a)].
% 0.81/1.08 77 sum(additive_inverse(b),b,additive_identity). [resolve(14,b,4,a)].
% 0.81/1.08 78 sum(additive_inverse(a),a,additive_identity). [resolve(14,b,3,a)].
% 0.81/1.08 82 sum(b,a,c). [resolve(15,b,7,a)].
% 0.81/1.08 83 -sum(additive_inverse(c),additive_identity,d). [ur(15,a,10,a)].
% 0.81/1.08 658 -sum(c,d,additive_identity). [ur(28,a,83,a,b,76,a,d,63,a)].
% 0.81/1.08 665 -sum(d,c,additive_identity). [ur(15,a,658,a)].
% 0.81/1.08 854 -sum(additive_inverse(b),c,a). [ur(29,a,665,a,b,8,a,d,78,a)].
% 0.81/1.08 1144 $F. [ur(28,a,854,a,c,82,a,d,66,a),unit_del(a,77)].
% 0.81/1.08
% 0.81/1.08 % SZS output end Refutation
% 0.81/1.08 ============================== end of proof ==========================
% 0.81/1.08
% 0.81/1.08 ============================== STATISTICS ============================
% 0.81/1.08
% 0.81/1.08 Given=145. Generated=1711. Kept=1143. proofs=1.
% 0.81/1.08 Usable=136. Sos=988. Demods=0. Limbo=0, Disabled=52. Hints=0.
% 0.81/1.08 Megabytes=0.80.
% 0.81/1.08 User_CPU=0.10, System_CPU=0.00, Wall_clock=0.
% 0.81/1.08
% 0.81/1.08 ============================== end of statistics =====================
% 0.81/1.08
% 0.81/1.08 ============================== end of search =========================
% 0.81/1.08
% 0.81/1.08 THEOREM PROVED
% 0.81/1.08 % SZS status Unsatisfiable
% 0.81/1.08
% 0.81/1.08 Exiting with 1 proof.
% 0.81/1.08
% 0.81/1.08 Process 24454 exit (max_proofs) Tue Jun 7 00:57:17 2022
% 0.81/1.08 Prover9 interrupted
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