TSTP Solution File: FLD013-3 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : FLD013-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n029.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 02:24:09 EDT 2022
% Result : Unsatisfiable 1.05s 1.33s
% Output : Refutation 1.05s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : FLD013-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.08/0.15 % Command : tptp2X_and_run_prover9 %d %s
% 0.14/0.36 % Computer : n029.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Tue Jun 7 03:49:20 EDT 2022
% 0.14/0.36 % CPUTime :
% 1.05/1.33 ============================== Prover9 ===============================
% 1.05/1.33 Prover9 (32) version 2009-11A, November 2009.
% 1.05/1.33 Process 14724 was started by sandbox on n029.cluster.edu,
% 1.05/1.33 Tue Jun 7 03:49:20 2022
% 1.05/1.33 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_14571_n029.cluster.edu".
% 1.05/1.33 ============================== end of head ===========================
% 1.05/1.33
% 1.05/1.33 ============================== INPUT =================================
% 1.05/1.33
% 1.05/1.33 % Reading from file /tmp/Prover9_14571_n029.cluster.edu
% 1.05/1.33
% 1.05/1.33 set(prolog_style_variables).
% 1.05/1.33 set(auto2).
% 1.05/1.33 % set(auto2) -> set(auto).
% 1.05/1.33 % set(auto) -> set(auto_inference).
% 1.05/1.33 % set(auto) -> set(auto_setup).
% 1.05/1.33 % set(auto_setup) -> set(predicate_elim).
% 1.05/1.33 % set(auto_setup) -> assign(eq_defs, unfold).
% 1.05/1.33 % set(auto) -> set(auto_limits).
% 1.05/1.33 % set(auto_limits) -> assign(max_weight, "100.000").
% 1.05/1.33 % set(auto_limits) -> assign(sos_limit, 20000).
% 1.05/1.33 % set(auto) -> set(auto_denials).
% 1.05/1.33 % set(auto) -> set(auto_process).
% 1.05/1.33 % set(auto2) -> assign(new_constants, 1).
% 1.05/1.33 % set(auto2) -> assign(fold_denial_max, 3).
% 1.05/1.33 % set(auto2) -> assign(max_weight, "200.000").
% 1.05/1.33 % set(auto2) -> assign(max_hours, 1).
% 1.05/1.33 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 1.05/1.33 % set(auto2) -> assign(max_seconds, 0).
% 1.05/1.33 % set(auto2) -> assign(max_minutes, 5).
% 1.05/1.33 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 1.05/1.33 % set(auto2) -> set(sort_initial_sos).
% 1.05/1.33 % set(auto2) -> assign(sos_limit, -1).
% 1.05/1.33 % set(auto2) -> assign(lrs_ticks, 3000).
% 1.05/1.33 % set(auto2) -> assign(max_megs, 400).
% 1.05/1.33 % set(auto2) -> assign(stats, some).
% 1.05/1.33 % set(auto2) -> clear(echo_input).
% 1.05/1.33 % set(auto2) -> set(quiet).
% 1.05/1.33 % set(auto2) -> clear(print_initial_clauses).
% 1.05/1.33 % set(auto2) -> clear(print_given).
% 1.05/1.33 assign(lrs_ticks,-1).
% 1.05/1.33 assign(sos_limit,10000).
% 1.05/1.33 assign(order,kbo).
% 1.05/1.33 set(lex_order_vars).
% 1.05/1.33 clear(print_given).
% 1.05/1.33
% 1.05/1.33 % formulas(sos). % not echoed (33 formulas)
% 1.05/1.33
% 1.05/1.33 ============================== end of input ==========================
% 1.05/1.33
% 1.05/1.33 % From the command line: assign(max_seconds, 300).
% 1.05/1.33
% 1.05/1.33 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 1.05/1.33
% 1.05/1.33 % Formulas that are not ordinary clauses:
% 1.05/1.33
% 1.05/1.33 ============================== end of process non-clausal formulas ===
% 1.05/1.33
% 1.05/1.33 ============================== PROCESS INITIAL CLAUSES ===============
% 1.05/1.33
% 1.05/1.33 ============================== PREDICATE ELIMINATION =================
% 1.05/1.33
% 1.05/1.33 ============================== end predicate elimination =============
% 1.05/1.33
% 1.05/1.33 Auto_denials: (non-Horn, no changes).
% 1.05/1.33
% 1.05/1.33 Term ordering decisions:
% 1.05/1.33 Function symbol KB weights: additive_identity=1. multiplicative_identity=1. a=1. b=1. c=1. d=1. add=1. multiply=1. additive_inverse=1. multiplicative_inverse=1.
% 1.05/1.33
% 1.05/1.33 ============================== end of process initial clauses ========
% 1.05/1.33
% 1.05/1.33 ============================== CLAUSES FOR SEARCH ====================
% 1.05/1.33
% 1.05/1.33 ============================== end of clauses for search =============
% 1.05/1.33
% 1.05/1.33 ============================== SEARCH ================================
% 1.05/1.33
% 1.05/1.33 % Starting search at 0.01 seconds.
% 1.05/1.33
% 1.05/1.33 Low Water (keep): wt=14.000, iters=3560
% 1.05/1.33
% 1.05/1.33 Low Water (keep): wt=12.000, iters=3348
% 1.05/1.33
% 1.05/1.33 Low Water (keep): wt=11.000, iters=3361
% 1.05/1.33
% 1.05/1.33 Low Water (keep): wt=10.000, iters=3357
% 1.05/1.33
% 1.05/1.33 Low Water (keep): wt=9.000, iters=3380
% 1.05/1.33
% 1.05/1.33 Low Water (keep): wt=8.000, iters=3466
% 1.05/1.33
% 1.05/1.33 Low Water (keep): wt=7.000, iters=3352
% 1.05/1.33
% 1.05/1.33 ============================== PROOF =================================
% 1.05/1.33 % SZS status Unsatisfiable
% 1.05/1.33 % SZS output start Refutation
% 1.05/1.33
% 1.05/1.33 % Proof 1 at 0.27 (+ 0.01) seconds.
% 1.05/1.33 % Length of proof is 20.
% 1.05/1.33 % Level of proof is 4.
% 1.05/1.33 % Maximum clause weight is 16.000.
% 1.05/1.33 % Given clauses 391.
% 1.05/1.33
% 1.05/1.33 3 defined(a) # label(a_is_defined) # label(hypothesis). [assumption].
% 1.05/1.33 4 defined(b) # label(b_is_defined) # label(hypothesis). [assumption].
% 1.05/1.33 6 defined(d) # label(d_is_defined) # label(hypothesis). [assumption].
% 1.05/1.33 7 sum(additive_identity,a,b) # label(sum_5) # label(negated_conjecture). [assumption].
% 1.05/1.33 8 sum(additive_identity,c,d) # label(sum_6) # label(negated_conjecture). [assumption].
% 1.05/1.33 10 -sum(a,c,add(d,b)) # label(not_sum_7) # label(negated_conjecture). [assumption].
% 1.05/1.33 12 sum(additive_identity,A,A) | -defined(A) # label(existence_of_identity_addition) # label(axiom). [assumption].
% 1.05/1.33 15 sum(A,B,C) | -sum(B,A,C) # label(commutativity_addition) # label(axiom). [assumption].
% 1.05/1.33 21 sum(A,B,add(A,B)) | -defined(A) | -defined(B) # label(totality_of_addition) # label(axiom). [assumption].
% 1.05/1.33 28 sum(A,B,C) | -sum(A,D,E) | -sum(D,F,B) | -sum(E,F,C) # label(associativity_addition_1) # label(axiom). [assumption].
% 1.05/1.33 29 sum(A,B,C) | -sum(D,E,A) | -sum(E,B,F) | -sum(D,F,C) # label(associativity_addition_2) # label(axiom). [assumption].
% 1.05/1.33 63 sum(additive_identity,d,d). [resolve(12,b,6,a)].
% 1.05/1.33 66 sum(additive_identity,a,a). [resolve(12,b,3,a)].
% 1.05/1.33 81 sum(c,additive_identity,d). [resolve(15,b,8,a)].
% 1.05/1.33 83 -sum(c,a,add(d,b)). [ur(15,a,10,a)].
% 1.05/1.33 113 sum(d,A,add(d,A)) | -defined(A). [resolve(21,b,6,a)].
% 1.05/1.33 328 sum(d,additive_identity,d). [resolve(63,a,15,b)].
% 1.05/1.33 582 -sum(d,a,add(d,b)). [ur(28,a,83,a,b,81,a,c,66,a)].
% 1.05/1.33 4698 -sum(d,b,add(d,b)). [ur(29,a,582,a,b,328,a,c,7,a)].
% 1.05/1.33 5430 $F. [resolve(113,b,4,a),unit_del(a,4698)].
% 1.05/1.33
% 1.05/1.33 % SZS output end Refutation
% 1.05/1.33 ============================== end of proof ==========================
% 1.05/1.33
% 1.05/1.33 ============================== STATISTICS ============================
% 1.05/1.33
% 1.05/1.33 Given=391. Generated=8549. Kept=5429. proofs=1.
% 1.05/1.33 Usable=386. Sos=5017. Demods=0. Limbo=1, Disabled=58. Hints=0.
% 1.05/1.33 Megabytes=2.76.
% 1.05/1.33 User_CPU=0.27, System_CPU=0.01, Wall_clock=1.
% 1.05/1.33
% 1.05/1.33 ============================== end of statistics =====================
% 1.05/1.33
% 1.05/1.33 ============================== end of search =========================
% 1.05/1.33
% 1.05/1.33 THEOREM PROVED
% 1.05/1.33 % SZS status Unsatisfiable
% 1.05/1.33
% 1.05/1.33 Exiting with 1 proof.
% 1.05/1.33
% 1.05/1.33 Process 14724 exit (max_proofs) Tue Jun 7 03:49:21 2022
% 1.05/1.33 Prover9 interrupted
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