TSTP Solution File: FLD003-1 by Prover9---1109a
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : FLD003-1 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n019.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 02:24:06 EDT 2022
% Result : Unsatisfiable 141.33s 141.74s
% Output : Refutation 141.33s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : FLD003-1 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.03/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.13/0.34 % Computer : n019.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Tue Jun 7 04:01:25 EDT 2022
% 0.13/0.34 % CPUTime :
% 141.33/141.74 ============================== Prover9 ===============================
% 141.33/141.74 Prover9 (32) version 2009-11A, November 2009.
% 141.33/141.74 Process 31328 was started by sandbox on n019.cluster.edu,
% 141.33/141.74 Tue Jun 7 04:01:26 2022
% 141.33/141.74 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_30878_n019.cluster.edu".
% 141.33/141.74 ============================== end of head ===========================
% 141.33/141.74
% 141.33/141.74 ============================== INPUT =================================
% 141.33/141.74
% 141.33/141.74 % Reading from file /tmp/Prover9_30878_n019.cluster.edu
% 141.33/141.74
% 141.33/141.74 set(prolog_style_variables).
% 141.33/141.74 set(auto2).
% 141.33/141.74 % set(auto2) -> set(auto).
% 141.33/141.74 % set(auto) -> set(auto_inference).
% 141.33/141.74 % set(auto) -> set(auto_setup).
% 141.33/141.74 % set(auto_setup) -> set(predicate_elim).
% 141.33/141.74 % set(auto_setup) -> assign(eq_defs, unfold).
% 141.33/141.74 % set(auto) -> set(auto_limits).
% 141.33/141.74 % set(auto_limits) -> assign(max_weight, "100.000").
% 141.33/141.74 % set(auto_limits) -> assign(sos_limit, 20000).
% 141.33/141.74 % set(auto) -> set(auto_denials).
% 141.33/141.74 % set(auto) -> set(auto_process).
% 141.33/141.74 % set(auto2) -> assign(new_constants, 1).
% 141.33/141.74 % set(auto2) -> assign(fold_denial_max, 3).
% 141.33/141.74 % set(auto2) -> assign(max_weight, "200.000").
% 141.33/141.74 % set(auto2) -> assign(max_hours, 1).
% 141.33/141.74 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 141.33/141.74 % set(auto2) -> assign(max_seconds, 0).
% 141.33/141.74 % set(auto2) -> assign(max_minutes, 5).
% 141.33/141.74 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 141.33/141.74 % set(auto2) -> set(sort_initial_sos).
% 141.33/141.74 % set(auto2) -> assign(sos_limit, -1).
% 141.33/141.74 % set(auto2) -> assign(lrs_ticks, 3000).
% 141.33/141.74 % set(auto2) -> assign(max_megs, 400).
% 141.33/141.74 % set(auto2) -> assign(stats, some).
% 141.33/141.74 % set(auto2) -> clear(echo_input).
% 141.33/141.74 % set(auto2) -> set(quiet).
% 141.33/141.74 % set(auto2) -> clear(print_initial_clauses).
% 141.33/141.74 % set(auto2) -> clear(print_given).
% 141.33/141.74 assign(lrs_ticks,-1).
% 141.33/141.74 assign(sos_limit,10000).
% 141.33/141.74 assign(order,kbo).
% 141.33/141.74 set(lex_order_vars).
% 141.33/141.74 clear(print_given).
% 141.33/141.74
% 141.33/141.74 % formulas(sos). % not echoed (30 formulas)
% 141.33/141.74
% 141.33/141.74 ============================== end of input ==========================
% 141.33/141.74
% 141.33/141.74 % From the command line: assign(max_seconds, 300).
% 141.33/141.74
% 141.33/141.74 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 141.33/141.74
% 141.33/141.74 % Formulas that are not ordinary clauses:
% 141.33/141.74
% 141.33/141.74 ============================== end of process non-clausal formulas ===
% 141.33/141.74
% 141.33/141.74 ============================== PROCESS INITIAL CLAUSES ===============
% 141.33/141.74
% 141.33/141.74 ============================== PREDICATE ELIMINATION =================
% 141.33/141.74
% 141.33/141.74 ============================== end predicate elimination =============
% 141.33/141.74
% 141.33/141.74 Auto_denials: (non-Horn, no changes).
% 141.33/141.74
% 141.33/141.74 Term ordering decisions:
% 141.33/141.74 Function symbol KB weights: additive_identity=1. multiplicative_identity=1. a=1. b=1. add=1. multiply=1. additive_inverse=1. multiplicative_inverse=1.
% 141.33/141.74
% 141.33/141.74 ============================== end of process initial clauses ========
% 141.33/141.74
% 141.33/141.74 ============================== CLAUSES FOR SEARCH ====================
% 141.33/141.74
% 141.33/141.74 ============================== end of clauses for search =============
% 141.33/141.74
% 141.33/141.74 ============================== SEARCH ================================
% 141.33/141.74
% 141.33/141.74 % Starting search at 0.01 seconds.
% 141.33/141.74
% 141.33/141.74 Low Water (keep): wt=34.000, iters=3359
% 141.33/141.74
% 141.33/141.74 Low Water (keep): wt=30.000, iters=3337
% 141.33/141.74
% 141.33/141.74 Low Water (keep): wt=29.000, iters=3333
% 141.33/141.74
% 141.33/141.74 Low Water (keep): wt=27.000, iters=3366
% 141.33/141.74
% 141.33/141.74 Low Water (keep): wt=25.000, iters=3333
% 141.33/141.74
% 141.33/141.74 Low Water (keep): wt=24.000, iters=3340
% 141.33/141.74
% 141.33/141.74 Low Water (keep): wt=23.000, iters=3401
% 141.33/141.74
% 141.33/141.74 Low Water (keep): wt=21.000, iters=3346
% 141.33/141.74
% 141.33/141.74 Low Water (keep): wt=19.000, iters=3338
% 141.33/141.74
% 141.33/141.74 Low Water (keep): wt=18.000, iters=3348
% 141.33/141.74
% 141.33/141.74 Low Water (keep): wt=15.000, iters=3431
% 141.33/141.74
% 141.33/141.74 Low Water (keep): wt=14.000, iters=3341
% 141.33/141.74
% 141.33/141.74 Low Water (keep): wt=13.000, iters=3336
% 141.33/141.74
% 141.33/141.74 Low Water (keep): wt=12.000, iters=5878
% 141.33/141.74
% 141.33/141.74 Low Water (keep): wt=9.000, iters=3987
% 141.33/141.74
% 141.33/141.74 Low Water (displace): id=5554, wt=34.000
% 141.33/141.74
% 141.33/141.74 Low Water (displace): id=10405, wt=11.000
% 141.33/141.74
% 141.33/141.74 Low Water (displace): id=10611, wt=10.000
% 141.33/141.74
% 141.33/141.74 Low Water (displace): id=10686, wt=8.000
% 141.33/141.74
% 141.33/141.74 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 1043 (0.00 of 0.55 sec).
% 141.33/141.74
% 141.33/141.74 Low Water (displace): id=24479, wt=7.000
% 141.33/141.74
% 141.33/141.74 Low Water (keep): wt=8.000, iters=4133
% 141.33/141.74
% 141.33/141.74 ============================== PROOF =================================
% 141.33/141.74 % SZS status Unsatisfiable
% 141.33/141.74 % SZS output start Refutation
% 141.33/141.74
% 141.33/141.74 % Proof 1 at 125.98 (+ 14.70) seconds.
% 141.33/141.74 % Length of proof is 21.
% 141.33/141.74 % Level of proof is 5.
% 141.33/141.74 % Maximum clause weight is 13.000.
% 141.33/141.74 % Given clauses 22151.
% 141.33/141.74
% 141.33/141.74 3 defined(a) # label(a_is_defined) # label(hypothesis). [assumption].
% 141.33/141.74 4 defined(b) # label(b_is_defined) # label(hypothesis). [assumption].
% 141.33/141.74 6 -equalish(add(a,add(b,additive_inverse(b))),a) # label(add_not_equal_to_a_3) # label(negated_conjecture). [assumption].
% 141.33/141.74 7 defined(additive_inverse(A)) | -defined(A) # label(well_definedness_of_additive_inverse) # label(axiom). [assumption].
% 141.33/141.74 10 equalish(add(additive_identity,A),A) | -defined(A) # label(existence_of_identity_addition) # label(axiom). [assumption].
% 141.33/141.74 12 equalish(add(A,additive_inverse(A)),additive_identity) | -defined(A) # label(existence_of_inverse_addition) # label(axiom). [assumption].
% 141.33/141.74 13 defined(add(A,B)) | -defined(A) | -defined(B) # label(well_definedness_of_addition) # label(axiom). [assumption].
% 141.33/141.74 18 equalish(A,B) | -equalish(A,C) | -equalish(C,B) # label(transitivity_of_equality) # label(axiom). [assumption].
% 141.33/141.74 21 equalish(add(A,B),add(B,A)) | -defined(A) | -defined(B) # label(commutativity_addition) # label(axiom). [assumption].
% 141.33/141.74 26 equalish(add(A,B),add(C,B)) | -defined(B) | -equalish(A,C) # label(compatibility_of_equality_and_addition) # label(axiom). [assumption].
% 141.33/141.74 50 defined(additive_inverse(b)). [resolve(7,b,4,a)].
% 141.33/141.74 61 equalish(add(additive_identity,a),a). [resolve(10,b,3,a)].
% 141.33/141.74 68 equalish(add(b,additive_inverse(b)),additive_identity). [resolve(12,b,4,a)].
% 141.33/141.74 72 defined(add(b,A)) | -defined(A). [resolve(13,b,4,a)].
% 141.33/141.74 100 equalish(add(a,A),add(A,a)) | -defined(A). [resolve(21,b,3,a)].
% 141.33/141.74 588 -equalish(add(a,add(b,additive_inverse(b))),add(additive_identity,a)). [ur(18,a,6,a,c,61,a)].
% 141.33/141.74 1237 equalish(add(add(b,additive_inverse(b)),A),add(additive_identity,A)) | -defined(A). [resolve(68,a,26,c)].
% 141.33/141.74 1548 defined(add(b,additive_inverse(b))). [resolve(72,b,50,a)].
% 141.33/141.74 7685 equalish(add(a,add(b,additive_inverse(b))),add(add(b,additive_inverse(b)),a)). [resolve(100,b,1548,a)].
% 141.33/141.74 67351 -equalish(add(add(b,additive_inverse(b)),a),add(additive_identity,a)). [ur(18,a,588,a,b,7685,a)].
% 141.33/141.74 67371 $F. [ur(1237,a,67351,a),unit_del(a,3)].
% 141.33/141.74
% 141.33/141.74 % SZS output end Refutation
% 141.33/141.74 ============================== end of proof ==========================
% 141.33/141.74
% 141.33/141.74 ============================== STATISTICS ============================
% 141.33/141.74
% 141.33/141.74 Given=22151. Generated=26816215. Kept=67370. proofs=1.
% 141.33/141.74 Usable=22146. Sos=8674. Demods=0. Limbo=0, Disabled=36580. Hints=0.
% 141.33/141.74 Megabytes=30.77.
% 141.33/141.74 User_CPU=125.98, System_CPU=14.70, Wall_clock=140.
% 141.33/141.74
% 141.33/141.74 ============================== end of statistics =====================
% 141.33/141.74
% 141.33/141.74 ============================== end of search =========================
% 141.33/141.74
% 141.33/141.74 THEOREM PROVED
% 141.33/141.74 % SZS status Unsatisfiable
% 141.33/141.74
% 141.33/141.74 Exiting with 1 proof.
% 141.33/141.74
% 141.33/141.74 Process 31328 exit (max_proofs) Tue Jun 7 04:03:46 2022
% 141.33/141.74 Prover9 interrupted
%------------------------------------------------------------------------------