TSTP Solution File: FLD031-1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : FLD031-1 : 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 02:24:16 EDT 2022
% Result : Unsatisfiable 1.78s 2.06s
% Output : Refutation 1.78s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : FLD031-1 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.06/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.33 % Computer : n029.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 Jun 6 18:29:19 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.78/2.06 ============================== Prover9 ===============================
% 1.78/2.06 Prover9 (32) version 2009-11A, November 2009.
% 1.78/2.06 Process 8186 was started by sandbox on n029.cluster.edu,
% 1.78/2.06 Mon Jun 6 18:29:20 2022
% 1.78/2.06 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_8033_n029.cluster.edu".
% 1.78/2.06 ============================== end of head ===========================
% 1.78/2.06
% 1.78/2.06 ============================== INPUT =================================
% 1.78/2.06
% 1.78/2.06 % Reading from file /tmp/Prover9_8033_n029.cluster.edu
% 1.78/2.06
% 1.78/2.06 set(prolog_style_variables).
% 1.78/2.06 set(auto2).
% 1.78/2.06 % set(auto2) -> set(auto).
% 1.78/2.06 % set(auto) -> set(auto_inference).
% 1.78/2.06 % set(auto) -> set(auto_setup).
% 1.78/2.06 % set(auto_setup) -> set(predicate_elim).
% 1.78/2.06 % set(auto_setup) -> assign(eq_defs, unfold).
% 1.78/2.06 % set(auto) -> set(auto_limits).
% 1.78/2.06 % set(auto_limits) -> assign(max_weight, "100.000").
% 1.78/2.06 % set(auto_limits) -> assign(sos_limit, 20000).
% 1.78/2.06 % set(auto) -> set(auto_denials).
% 1.78/2.06 % set(auto) -> set(auto_process).
% 1.78/2.06 % set(auto2) -> assign(new_constants, 1).
% 1.78/2.06 % set(auto2) -> assign(fold_denial_max, 3).
% 1.78/2.06 % set(auto2) -> assign(max_weight, "200.000").
% 1.78/2.06 % set(auto2) -> assign(max_hours, 1).
% 1.78/2.06 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 1.78/2.06 % set(auto2) -> assign(max_seconds, 0).
% 1.78/2.06 % set(auto2) -> assign(max_minutes, 5).
% 1.78/2.06 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 1.78/2.06 % set(auto2) -> set(sort_initial_sos).
% 1.78/2.06 % set(auto2) -> assign(sos_limit, -1).
% 1.78/2.06 % set(auto2) -> assign(lrs_ticks, 3000).
% 1.78/2.06 % set(auto2) -> assign(max_megs, 400).
% 1.78/2.06 % set(auto2) -> assign(stats, some).
% 1.78/2.06 % set(auto2) -> clear(echo_input).
% 1.78/2.06 % set(auto2) -> set(quiet).
% 1.78/2.06 % set(auto2) -> clear(print_initial_clauses).
% 1.78/2.06 % set(auto2) -> clear(print_given).
% 1.78/2.06 assign(lrs_ticks,-1).
% 1.78/2.06 assign(sos_limit,10000).
% 1.78/2.06 assign(order,kbo).
% 1.78/2.06 set(lex_order_vars).
% 1.78/2.06 clear(print_given).
% 1.78/2.06
% 1.78/2.06 % formulas(sos). % not echoed (31 formulas)
% 1.78/2.06
% 1.78/2.06 ============================== end of input ==========================
% 1.78/2.06
% 1.78/2.06 % From the command line: assign(max_seconds, 300).
% 1.78/2.06
% 1.78/2.06 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 1.78/2.06
% 1.78/2.06 % Formulas that are not ordinary clauses:
% 1.78/2.06
% 1.78/2.06 ============================== end of process non-clausal formulas ===
% 1.78/2.06
% 1.78/2.06 ============================== PROCESS INITIAL CLAUSES ===============
% 1.78/2.06
% 1.78/2.06 ============================== PREDICATE ELIMINATION =================
% 1.78/2.06
% 1.78/2.06 ============================== end predicate elimination =============
% 1.78/2.06
% 1.78/2.06 Auto_denials: (non-Horn, no changes).
% 1.78/2.06
% 1.78/2.06 Term ordering decisions:
% 1.78/2.06 Function symbol KB weights: additive_identity=1. multiplicative_identity=1. a=1. add=1. multiply=1. additive_inverse=1. multiplicative_inverse=1.
% 1.78/2.06
% 1.78/2.06 ============================== end of process initial clauses ========
% 1.78/2.06
% 1.78/2.06 ============================== CLAUSES FOR SEARCH ====================
% 1.78/2.06
% 1.78/2.06 ============================== end of clauses for search =============
% 1.78/2.06
% 1.78/2.06 ============================== SEARCH ================================
% 1.78/2.06
% 1.78/2.06 % Starting search at 0.01 seconds.
% 1.78/2.06
% 1.78/2.06 Low Water (keep): wt=34.000, iters=3823
% 1.78/2.06
% 1.78/2.06 Low Water (keep): wt=29.000, iters=3742
% 1.78/2.06
% 1.78/2.06 Low Water (keep): wt=24.000, iters=3395
% 1.78/2.06
% 1.78/2.06 Low Water (keep): wt=23.000, iters=3368
% 1.78/2.06
% 1.78/2.06 Low Water (keep): wt=21.000, iters=3362
% 1.78/2.06
% 1.78/2.06 Low Water (keep): wt=19.000, iters=3341
% 1.78/2.06
% 1.78/2.06 Low Water (keep): wt=12.000, iters=3588
% 1.78/2.06
% 1.78/2.06 Low Water (keep): wt=11.000, iters=3358
% 1.78/2.06
% 1.78/2.06 Low Water (displace): id=5566, wt=34.000
% 1.78/2.06
% 1.78/2.06 Low Water (displace): id=5572, wt=30.000
% 1.78/2.06
% 1.78/2.06 Low Water (displace): id=10658, wt=11.000
% 1.78/2.06
% 1.78/2.06 Low Water (displace): id=10659, wt=10.000
% 1.78/2.06
% 1.78/2.06 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 765 (0.00 of 0.52 sec).
% 1.78/2.06
% 1.78/2.06 Low Water (displace): id=10844, wt=8.000
% 1.78/2.06
% 1.78/2.06 Low Water (displace): id=16158, wt=7.000
% 1.78/2.06
% 1.78/2.06 Low Water (keep): wt=9.000, iters=5052
% 1.78/2.06
% 1.78/2.06 Low Water (keep): wt=8.000, iters=3834
% 1.78/2.06
% 1.78/2.06 ============================== PROOF =================================
% 1.78/2.06 % SZS status Unsatisfiable
% 1.78/2.06 % SZS output start Refutation
% 1.78/2.06
% 1.78/2.06 % Proof 1 at 1.03 (+ 0.08) seconds.
% 1.78/2.06 % Length of proof is 18.
% 1.78/2.06 % Level of proof is 4.
% 1.78/2.06 % Maximum clause weight is 12.000.
% 1.78/2.06 % Given clauses 952.
% 1.78/2.06
% 1.78/2.06 3 defined(a) # label(a_is_defined) # label(hypothesis). [assumption].
% 1.78/2.06 4 equalish(a,multiplicative_identity) # label(a_equals_multiplicative_identity_2) # label(negated_conjecture). [assumption].
% 1.78/2.06 6 -equalish(a,additive_identity) # label(a_not_equal_to_additive_identity_3) # label(negated_conjecture). [assumption].
% 1.78/2.06 7 -equalish(multiplicative_inverse(a),multiplicative_identity) # label(multiplicative_inverses_not_equal) # label(negated_conjecture). [assumption].
% 1.78/2.06 10 equalish(A,B) | -equalish(B,A) # label(symmetry_of_equality) # label(axiom). [assumption].
% 1.78/2.06 12 equalish(multiply(multiplicative_identity,A),A) | -defined(A) # label(existence_of_identity_multiplication) # label(axiom). [assumption].
% 1.78/2.06 16 defined(multiplicative_inverse(A)) | -defined(A) | equalish(A,additive_identity) # label(well_definedness_of_multiplicative_inverse) # label(axiom). [assumption].
% 1.78/2.06 19 equalish(A,B) | -equalish(A,C) | -equalish(C,B) # label(transitivity_of_equality) # label(axiom). [assumption].
% 1.78/2.06 23 equalish(multiply(A,multiplicative_inverse(A)),multiplicative_identity) | -defined(A) | equalish(A,additive_identity) # label(existence_of_inverse_multiplication) # label(axiom). [assumption].
% 1.78/2.06 28 equalish(multiply(A,B),multiply(C,B)) | -defined(B) | -equalish(A,C) # label(compatibility_of_equality_and_multiplication) # label(axiom). [assumption].
% 1.78/2.06 82 defined(multiplicative_inverse(a)). [resolve(16,b,3,a),unit_del(b,6)].
% 1.78/2.06 99 equalish(multiply(a,multiplicative_inverse(a)),multiplicative_identity). [resolve(23,b,3,a),unit_del(b,6)].
% 1.78/2.06 108 equalish(multiply(a,A),multiply(multiplicative_identity,A)) | -defined(A). [resolve(28,c,4,a)].
% 1.78/2.06 422 equalish(multiply(multiplicative_identity,multiplicative_inverse(a)),multiplicative_inverse(a)). [resolve(82,a,12,b)].
% 1.78/2.06 7409 -equalish(multiplicative_inverse(a),multiply(a,multiplicative_inverse(a))). [ur(19,a,7,a,c,99,a)].
% 1.78/2.06 7418 -equalish(multiply(a,multiplicative_inverse(a)),multiplicative_inverse(a)). [ur(10,a,7409,a)].
% 1.78/2.06 8454 equalish(multiply(a,multiplicative_inverse(a)),multiply(multiplicative_identity,multiplicative_inverse(a))). [resolve(108,b,82,a)].
% 1.78/2.06 22979 $F. [ur(19,a,7418,a,c,422,a),unit_del(a,8454)].
% 1.78/2.06
% 1.78/2.06 % SZS output end Refutation
% 1.78/2.06 ============================== end of proof ==========================
% 1.78/2.06
% 1.78/2.06 ============================== STATISTICS ============================
% 1.78/2.06
% 1.78/2.06 Given=952. Generated=120268. Kept=22978. proofs=1.
% 1.78/2.06 Usable=952. Sos=9999. Demods=0. Limbo=2, Disabled=12056. Hints=0.
% 1.78/2.06 Megabytes=11.58.
% 1.78/2.06 User_CPU=1.03, System_CPU=0.08, Wall_clock=1.
% 1.78/2.06
% 1.78/2.06 ============================== end of statistics =====================
% 1.78/2.06
% 1.78/2.06 ============================== end of search =========================
% 1.78/2.06
% 1.78/2.06 THEOREM PROVED
% 1.78/2.06 % SZS status Unsatisfiable
% 1.78/2.06
% 1.78/2.06 Exiting with 1 proof.
% 1.78/2.06
% 1.78/2.06 Process 8186 exit (max_proofs) Mon Jun 6 18:29:21 2022
% 1.78/2.06 Prover9 interrupted
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