TSTP Solution File: FLD047-4 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : FLD047-4 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n024.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 02:24:22 EDT 2022
% Result : Unsatisfiable 1.77s 2.26s
% Output : Refutation 1.77s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : FLD047-4 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.04/0.14 % Command : tptp2X_and_run_prover9 %d %s
% 0.13/0.35 % Computer : n024.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 600
% 0.13/0.36 % DateTime : Mon Jun 6 18:11:50 EDT 2022
% 0.13/0.36 % CPUTime :
% 1.77/2.26 ============================== Prover9 ===============================
% 1.77/2.26 Prover9 (32) version 2009-11A, November 2009.
% 1.77/2.26 Process 19737 was started by sandbox on n024.cluster.edu,
% 1.77/2.26 Mon Jun 6 18:11:50 2022
% 1.77/2.26 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_19481_n024.cluster.edu".
% 1.77/2.26 ============================== end of head ===========================
% 1.77/2.26
% 1.77/2.26 ============================== INPUT =================================
% 1.77/2.26
% 1.77/2.26 % Reading from file /tmp/Prover9_19481_n024.cluster.edu
% 1.77/2.26
% 1.77/2.26 set(prolog_style_variables).
% 1.77/2.26 set(auto2).
% 1.77/2.26 % set(auto2) -> set(auto).
% 1.77/2.26 % set(auto) -> set(auto_inference).
% 1.77/2.26 % set(auto) -> set(auto_setup).
% 1.77/2.26 % set(auto_setup) -> set(predicate_elim).
% 1.77/2.26 % set(auto_setup) -> assign(eq_defs, unfold).
% 1.77/2.26 % set(auto) -> set(auto_limits).
% 1.77/2.26 % set(auto_limits) -> assign(max_weight, "100.000").
% 1.77/2.26 % set(auto_limits) -> assign(sos_limit, 20000).
% 1.77/2.26 % set(auto) -> set(auto_denials).
% 1.77/2.26 % set(auto) -> set(auto_process).
% 1.77/2.26 % set(auto2) -> assign(new_constants, 1).
% 1.77/2.26 % set(auto2) -> assign(fold_denial_max, 3).
% 1.77/2.26 % set(auto2) -> assign(max_weight, "200.000").
% 1.77/2.26 % set(auto2) -> assign(max_hours, 1).
% 1.77/2.26 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 1.77/2.26 % set(auto2) -> assign(max_seconds, 0).
% 1.77/2.26 % set(auto2) -> assign(max_minutes, 5).
% 1.77/2.26 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 1.77/2.26 % set(auto2) -> set(sort_initial_sos).
% 1.77/2.26 % set(auto2) -> assign(sos_limit, -1).
% 1.77/2.26 % set(auto2) -> assign(lrs_ticks, 3000).
% 1.77/2.26 % set(auto2) -> assign(max_megs, 400).
% 1.77/2.26 % set(auto2) -> assign(stats, some).
% 1.77/2.26 % set(auto2) -> clear(echo_input).
% 1.77/2.26 % set(auto2) -> set(quiet).
% 1.77/2.26 % set(auto2) -> clear(print_initial_clauses).
% 1.77/2.26 % set(auto2) -> clear(print_given).
% 1.77/2.26 assign(lrs_ticks,-1).
% 1.77/2.26 assign(sos_limit,10000).
% 1.77/2.26 assign(order,kbo).
% 1.77/2.26 set(lex_order_vars).
% 1.77/2.26 clear(print_given).
% 1.77/2.26
% 1.77/2.26 % formulas(sos). % not echoed (38 formulas)
% 1.77/2.26
% 1.77/2.26 ============================== end of input ==========================
% 1.77/2.26
% 1.77/2.26 % From the command line: assign(max_seconds, 300).
% 1.77/2.26
% 1.77/2.26 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 1.77/2.26
% 1.77/2.26 % Formulas that are not ordinary clauses:
% 1.77/2.26
% 1.77/2.26 ============================== end of process non-clausal formulas ===
% 1.77/2.26
% 1.77/2.26 ============================== PROCESS INITIAL CLAUSES ===============
% 1.77/2.26
% 1.77/2.26 ============================== PREDICATE ELIMINATION =================
% 1.77/2.26
% 1.77/2.26 ============================== end predicate elimination =============
% 1.77/2.26
% 1.77/2.26 Auto_denials: (non-Horn, no changes).
% 1.77/2.26
% 1.77/2.26 Term ordering decisions:
% 1.77/2.26 Function symbol KB weights: additive_identity=1. a=1. b=1. c=1. multiplicative_identity=1. s=1. t=1. u=1. add=1. multiply=1. multiplicative_inverse=1. additive_inverse=1.
% 1.77/2.26
% 1.77/2.26 ============================== end of process initial clauses ========
% 1.77/2.26
% 1.77/2.26 ============================== CLAUSES FOR SEARCH ====================
% 1.77/2.26
% 1.77/2.26 ============================== end of clauses for search =============
% 1.77/2.26
% 1.77/2.26 ============================== SEARCH ================================
% 1.77/2.26
% 1.77/2.26 % Starting search at 0.01 seconds.
% 1.77/2.26
% 1.77/2.26 Low Water (keep): wt=14.000, iters=3483
% 1.77/2.26
% 1.77/2.26 Low Water (keep): wt=12.000, iters=3352
% 1.77/2.26
% 1.77/2.26 Low Water (keep): wt=11.000, iters=3476
% 1.77/2.26
% 1.77/2.26 Low Water (keep): wt=8.000, iters=3354
% 1.77/2.26
% 1.77/2.26 Low Water (keep): wt=7.000, iters=3358
% 1.77/2.26
% 1.77/2.26 Low Water (keep): wt=6.000, iters=3333
% 1.77/2.26
% 1.77/2.26 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 144 (0.00 of 0.26 sec).
% 1.77/2.26
% 1.77/2.26 ============================== PROOF =================================
% 1.77/2.26 % SZS status Unsatisfiable
% 1.77/2.26 % SZS output start Refutation
% 1.77/2.26
% 1.77/2.26 % Proof 1 at 1.07 (+ 0.06) seconds.
% 1.77/2.26 % Length of proof is 54.
% 1.77/2.26 % Level of proof is 11.
% 1.77/2.26 % Maximum clause weight is 20.000.
% 1.77/2.26 % Given clauses 1648.
% 1.77/2.26
% 1.77/2.26 1 defined(additive_identity) # label(well_definedness_of_additive_identity) # label(axiom). [assumption].
% 1.77/2.26 3 defined(a) # label(a_is_defined) # label(hypothesis). [assumption].
% 1.77/2.26 4 defined(b) # label(b_is_defined) # label(hypothesis). [assumption].
% 1.77/2.26 5 defined(c) # label(c_is_defined) # label(hypothesis). [assumption].
% 1.77/2.26 6 defined(u) # label(u_is_defined) # label(hypothesis). [assumption].
% 1.77/2.26 8 defined(t) # label(t_is_defined) # label(hypothesis). [assumption].
% 1.77/2.26 9 product(a,c,s) # label(product_10) # label(negated_conjecture). [assumption].
% 1.77/2.26 10 product(b,c,t) # label(product_11) # label(negated_conjecture). [assumption].
% 1.77/2.26 11 product(a,multiplicative_inverse(b),u) # label(product_9) # label(negated_conjecture). [assumption].
% 1.77/2.26 13 -sum(additive_identity,b,additive_identity) # label(not_sum_7) # label(negated_conjecture). [assumption].
% 1.77/2.26 14 -sum(additive_identity,c,additive_identity) # label(not_sum_8) # label(negated_conjecture). [assumption].
% 1.77/2.26 15 -product(s,multiplicative_inverse(t),u) # label(not_product_12) # label(negated_conjecture). [assumption].
% 1.77/2.26 17 sum(additive_identity,A,A) | -defined(A) # label(existence_of_identity_addition) # label(axiom). [assumption].
% 1.77/2.26 18 product(multiplicative_identity,A,A) | -defined(A) # label(existence_of_identity_multiplication) # label(axiom). [assumption].
% 1.77/2.26 19 sum(additive_inverse(A),A,additive_identity) | -defined(A) # label(existence_of_inverse_addition) # label(axiom). [assumption].
% 1.77/2.26 21 product(A,B,C) | -product(B,A,C) # label(commutativity_multiplication) # label(axiom). [assumption].
% 1.77/2.26 30 product(multiplicative_inverse(A),A,multiplicative_identity) | sum(additive_identity,A,additive_identity) | -defined(A) # label(existence_of_inverse_multiplication) # label(axiom). [assumption].
% 1.77/2.26 34 sum(A,B,C) | -sum(D,E,A) | -sum(E,B,F) | -sum(D,F,C) # label(associativity_addition_2) # label(axiom). [assumption].
% 1.77/2.26 35 product(A,B,C) | -product(A,D,E) | -product(D,F,B) | -product(E,F,C) # label(associativity_multiplication_1) # label(axiom). [assumption].
% 1.77/2.26 36 product(A,B,C) | -product(D,E,A) | -product(E,B,F) | -product(D,F,C) # label(associativity_multiplication_2) # label(axiom). [assumption].
% 1.77/2.26 37 sum(A,B,C) | -sum(D,E,F) | -product(F,V6,C) | -product(D,V6,A) | -product(E,V6,B) # label(distributivity_1) # label(axiom). [assumption].
% 1.77/2.26 38 product(A,B,C) | -sum(D,E,A) | -product(D,B,F) | -product(E,B,V6) | -sum(F,V6,C) # label(distributivity_2) # label(axiom). [assumption].
% 1.77/2.26 49 sum(A,B,A) | -sum(C,D,A) | -sum(D,B,D). [factor(34,b,d)].
% 1.77/2.26 55 sum(A,B,A) | -sum(C,D,C) | -product(C,E,A) | -product(D,E,B). [factor(37,c,d)].
% 1.77/2.26 60 sum(A,A,A) | -sum(B,B,B) | -product(B,C,A). [factor(55,c,d)].
% 1.77/2.26 70 sum(additive_identity,t,t). [resolve(17,b,8,a)].
% 1.77/2.26 77 sum(additive_identity,additive_identity,additive_identity). [resolve(17,b,1,a)].
% 1.77/2.26 78 product(multiplicative_identity,t,t). [resolve(18,b,8,a)].
% 1.77/2.26 80 product(multiplicative_identity,u,u). [resolve(18,b,6,a)].
% 1.77/2.26 82 product(multiplicative_identity,b,b). [resolve(18,b,4,a)].
% 1.77/2.26 83 product(multiplicative_identity,a,a). [resolve(18,b,3,a)].
% 1.77/2.26 85 product(multiplicative_identity,additive_identity,additive_identity). [resolve(18,b,1,a)].
% 1.77/2.26 90 sum(additive_inverse(b),b,additive_identity). [resolve(19,b,4,a)].
% 1.77/2.26 96 product(multiplicative_inverse(b),a,u). [resolve(21,b,11,a)].
% 1.77/2.26 97 product(c,b,t). [resolve(21,b,10,a)].
% 1.77/2.26 98 product(c,a,s). [resolve(21,b,9,a)].
% 1.77/2.26 99 -product(multiplicative_inverse(t),s,u). [ur(21,a,15,a)].
% 1.77/2.26 187 product(multiplicative_inverse(t),t,multiplicative_identity) | sum(additive_identity,t,additive_identity). [resolve(30,c,8,a)].
% 1.77/2.26 190 product(multiplicative_inverse(c),c,multiplicative_identity). [resolve(30,c,5,a),unit_del(b,14)].
% 1.77/2.26 191 product(multiplicative_inverse(b),b,multiplicative_identity). [resolve(30,c,4,a),unit_del(b,13)].
% 1.77/2.26 623 product(t,multiplicative_identity,t). [resolve(78,a,21,b)].
% 1.77/2.26 663 product(b,multiplicative_identity,b). [resolve(82,a,21,b)].
% 1.77/2.26 693 product(additive_identity,multiplicative_identity,additive_identity). [resolve(85,a,21,b)].
% 1.77/2.26 1119 -sum(b,b,b). [ur(49,a,13,a,b,90,a)].
% 1.77/2.26 1709 -product(additive_identity,A,b). [ur(60,a,1119,a,b,77,a)].
% 1.77/2.26 2538 -product(A,additive_identity,b). [ur(21,a,1709,a)].
% 1.77/2.26 6007 -product(c,b,additive_identity). [ur(35,a,2538,a,b,190,a,d,82,a)].
% 1.77/2.26 6009 product(b,multiplicative_inverse(b),multiplicative_identity). [resolve(191,a,21,b)].
% 1.77/2.26 6044 -product(t,multiplicative_identity,additive_identity). [ur(35,a,6007,a,b,97,a,c,663,a)].
% 1.77/2.26 6053 -sum(additive_identity,t,additive_identity). [ur(38,a,6044,a,b,70,a,c,693,a,d,623,a)].
% 1.77/2.26 6054 product(multiplicative_inverse(t),t,multiplicative_identity). [back_unit_del(187),unit_del(b,6053)].
% 1.77/2.26 7380 -product(t,u,s). [ur(35,a,99,a,b,6054,a,d,80,a)].
% 1.77/2.26 7384 -product(b,u,a). [ur(36,a,7380,a,b,97,a,d,98,a)].
% 1.77/2.26 7387 $F. [ur(35,a,7384,a,c,96,a,d,83,a),unit_del(a,6009)].
% 1.77/2.26
% 1.77/2.26 % SZS output end Refutation
% 1.77/2.26 ============================== end of proof ==========================
% 1.77/2.26
% 1.77/2.26 ============================== STATISTICS ============================
% 1.77/2.26
% 1.77/2.26 Given=1648. Generated=86002. Kept=7386. proofs=1.
% 1.77/2.26 Usable=1622. Sos=5699. Demods=0. Limbo=0, Disabled=103. Hints=0.
% 1.77/2.26 Megabytes=3.59.
% 1.77/2.26 User_CPU=1.07, System_CPU=0.06, Wall_clock=2.
% 1.77/2.26
% 1.77/2.26 ============================== end of statistics =====================
% 1.77/2.26
% 1.77/2.26 ============================== end of search =========================
% 1.77/2.26
% 1.77/2.26 THEOREM PROVED
% 1.77/2.26 % SZS status Unsatisfiable
% 1.77/2.26
% 1.77/2.26 Exiting with 1 proof.
% 1.77/2.26
% 1.77/2.26 Process 19737 exit (max_proofs) Mon Jun 6 18:11:52 2022
% 1.77/2.26 Prover9 interrupted
%------------------------------------------------------------------------------