TSTP Solution File: FLD090-3 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : FLD090-3 : 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 02:24:39 EDT 2022
% Result : Unsatisfiable 179.33s 179.60s
% Output : Refutation 179.33s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : FLD090-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.07/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.14/0.35 % Computer : n029.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Mon Jun 6 10:43:49 EDT 2022
% 0.14/0.35 % CPUTime :
% 179.33/179.60 ============================== Prover9 ===============================
% 179.33/179.60 Prover9 (32) version 2009-11A, November 2009.
% 179.33/179.60 Process 18416 was started by sandbox on n029.cluster.edu,
% 179.33/179.60 Mon Jun 6 10:43:50 2022
% 179.33/179.60 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_18263_n029.cluster.edu".
% 179.33/179.60 ============================== end of head ===========================
% 179.33/179.60
% 179.33/179.60 ============================== INPUT =================================
% 179.33/179.60
% 179.33/179.60 % Reading from file /tmp/Prover9_18263_n029.cluster.edu
% 179.33/179.60
% 179.33/179.60 set(prolog_style_variables).
% 179.33/179.60 set(auto2).
% 179.33/179.60 % set(auto2) -> set(auto).
% 179.33/179.60 % set(auto) -> set(auto_inference).
% 179.33/179.60 % set(auto) -> set(auto_setup).
% 179.33/179.60 % set(auto_setup) -> set(predicate_elim).
% 179.33/179.60 % set(auto_setup) -> assign(eq_defs, unfold).
% 179.33/179.60 % set(auto) -> set(auto_limits).
% 179.33/179.60 % set(auto_limits) -> assign(max_weight, "100.000").
% 179.33/179.60 % set(auto_limits) -> assign(sos_limit, 20000).
% 179.33/179.60 % set(auto) -> set(auto_denials).
% 179.33/179.60 % set(auto) -> set(auto_process).
% 179.33/179.60 % set(auto2) -> assign(new_constants, 1).
% 179.33/179.60 % set(auto2) -> assign(fold_denial_max, 3).
% 179.33/179.60 % set(auto2) -> assign(max_weight, "200.000").
% 179.33/179.60 % set(auto2) -> assign(max_hours, 1).
% 179.33/179.60 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 179.33/179.60 % set(auto2) -> assign(max_seconds, 0).
% 179.33/179.60 % set(auto2) -> assign(max_minutes, 5).
% 179.33/179.60 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 179.33/179.60 % set(auto2) -> set(sort_initial_sos).
% 179.33/179.60 % set(auto2) -> assign(sos_limit, -1).
% 179.33/179.60 % set(auto2) -> assign(lrs_ticks, 3000).
% 179.33/179.60 % set(auto2) -> assign(max_megs, 400).
% 179.33/179.60 % set(auto2) -> assign(stats, some).
% 179.33/179.60 % set(auto2) -> clear(echo_input).
% 179.33/179.60 % set(auto2) -> set(quiet).
% 179.33/179.60 % set(auto2) -> clear(print_initial_clauses).
% 179.33/179.60 % set(auto2) -> clear(print_given).
% 179.33/179.60 assign(lrs_ticks,-1).
% 179.33/179.60 assign(sos_limit,10000).
% 179.33/179.60 assign(order,kbo).
% 179.33/179.60 set(lex_order_vars).
% 179.33/179.60 clear(print_given).
% 179.33/179.60
% 179.33/179.60 % formulas(sos). % not echoed (29 formulas)
% 179.33/179.60
% 179.33/179.60 ============================== end of input ==========================
% 179.33/179.60
% 179.33/179.60 % From the command line: assign(max_seconds, 300).
% 179.33/179.60
% 179.33/179.60 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 179.33/179.60
% 179.33/179.60 % Formulas that are not ordinary clauses:
% 179.33/179.60
% 179.33/179.60 ============================== end of process non-clausal formulas ===
% 179.33/179.60
% 179.33/179.60 ============================== PROCESS INITIAL CLAUSES ===============
% 179.33/179.60
% 179.33/179.60 ============================== PREDICATE ELIMINATION =================
% 179.33/179.60
% 179.33/179.60 ============================== end predicate elimination =============
% 179.33/179.60
% 179.33/179.60 Auto_denials: (non-Horn, no changes).
% 179.33/179.60
% 179.33/179.60 Term ordering decisions:
% 179.33/179.60 Function symbol KB weights: additive_identity=1. multiplicative_identity=1. m=1. add=1. multiply=1. additive_inverse=1. multiplicative_inverse=1.
% 179.33/179.60
% 179.33/179.60 ============================== end of process initial clauses ========
% 179.33/179.60
% 179.33/179.60 ============================== CLAUSES FOR SEARCH ====================
% 179.33/179.60
% 179.33/179.60 ============================== end of clauses for search =============
% 179.33/179.60
% 179.33/179.60 ============================== SEARCH ================================
% 179.33/179.60
% 179.33/179.60 % Starting search at 0.01 seconds.
% 179.33/179.60
% 179.33/179.60 Low Water (keep): wt=18.000, iters=3791
% 179.33/179.60
% 179.33/179.60 Low Water (keep): wt=14.000, iters=3542
% 179.33/179.60
% 179.33/179.60 Low Water (keep): wt=13.000, iters=3420
% 179.33/179.60
% 179.33/179.60 Low Water (keep): wt=12.000, iters=3357
% 179.33/179.60
% 179.33/179.60 Low Water (keep): wt=11.000, iters=3348
% 179.33/179.60
% 179.33/179.60 Low Water (keep): wt=10.000, iters=3341
% 179.33/179.60
% 179.33/179.60 Low Water (keep): wt=9.000, iters=3346
% 179.33/179.60
% 179.33/179.60 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 700 (0.00 of 0.33 sec).
% 179.33/179.60
% 179.33/179.60 Low Water (keep): wt=8.000, iters=3341
% 179.33/179.60
% 179.33/179.60 Low Water (displace): id=3621, wt=18.000
% 179.33/179.60
% 179.33/179.60 ============================== PROOF =================================
% 179.33/179.60 % SZS status Unsatisfiable
% 179.33/179.60 % SZS output start Refutation
% 179.33/179.60
% 179.33/179.60 % Proof 1 at 176.30 (+ 2.31) seconds.
% 179.33/179.60 % Length of proof is 81.
% 179.33/179.60 % Level of proof is 12.
% 179.33/179.60 % Maximum clause weight is 20.000.
% 179.33/179.60 % Given clauses 13126.
% 179.33/179.60
% 179.33/179.60 1 defined(additive_identity) # label(well_definedness_of_additive_identity) # label(axiom). [assumption].
% 179.33/179.60 2 defined(multiplicative_identity) # label(well_definedness_of_multiplicative_identity) # label(axiom). [assumption].
% 179.33/179.60 3 defined(m) # label(m_is_defined) # label(hypothesis). [assumption].
% 179.33/179.60 5 -sum(additive_identity,m,multiplicative_identity) # label(not_sum_3) # label(negated_conjecture). [assumption].
% 179.33/179.60 6 defined(additive_inverse(A)) | -defined(A) # label(well_definedness_of_additive_inverse) # label(axiom). [assumption].
% 179.33/179.60 7 sum(additive_identity,A,A) | -defined(A) # label(existence_of_identity_addition) # label(axiom). [assumption].
% 179.33/179.60 8 product(multiplicative_identity,A,A) | -defined(A) # label(existence_of_identity_multiplication) # label(axiom). [assumption].
% 179.33/179.60 9 sum(additive_inverse(A),A,additive_identity) | -defined(A) # label(existence_of_inverse_addition) # label(axiom). [assumption].
% 179.33/179.60 10 less_or_equal(A,B) | -product(m,B,A) # label(less_or_equal_or_not_product_2) # label(negated_conjecture). [assumption].
% 179.33/179.60 11 sum(A,B,C) | -sum(B,A,C) # label(commutativity_addition) # label(axiom). [assumption].
% 179.33/179.60 12 product(A,B,C) | -product(B,A,C) # label(commutativity_multiplication) # label(axiom). [assumption].
% 179.33/179.60 14 defined(multiply(A,B)) | -defined(A) | -defined(B) # label(well_definedness_of_multiplication) # label(axiom). [assumption].
% 179.33/179.60 17 sum(A,B,add(A,B)) | -defined(A) | -defined(B) # label(totality_of_addition) # label(axiom). [assumption].
% 179.33/179.60 18 product(A,B,multiply(A,B)) | -defined(A) | -defined(B) # label(totality_of_multiplication) # label(axiom). [assumption].
% 179.33/179.60 19 sum(additive_identity,A,B) | -less_or_equal(A,B) | -less_or_equal(B,A) # label(antisymmetry_of_order_relation) # label(axiom). [assumption].
% 179.33/179.60 23 less_or_equal(A,B) | -less_or_equal(C,D) | -sum(C,E,A) | -sum(D,E,B) # label(compatibility_of_order_relation_and_addition) # label(axiom). [assumption].
% 179.33/179.60 24 sum(A,B,C) | -sum(A,D,E) | -sum(D,F,B) | -sum(E,F,C) # label(associativity_addition_1) # label(axiom). [assumption].
% 179.33/179.60 25 sum(A,B,C) | -sum(D,E,A) | -sum(E,B,F) | -sum(D,F,C) # label(associativity_addition_2) # label(axiom). [assumption].
% 179.33/179.60 26 product(A,B,C) | -product(A,D,E) | -product(D,F,B) | -product(E,F,C) # label(associativity_multiplication_1) # label(axiom). [assumption].
% 179.33/179.60 27 product(A,B,C) | -product(D,E,A) | -product(E,B,F) | -product(D,F,C) # label(associativity_multiplication_2) # label(axiom). [assumption].
% 179.33/179.60 28 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].
% 179.33/179.60 29 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].
% 179.33/179.60 40 sum(A,B,A) | -sum(C,D,A) | -sum(D,B,D). [factor(25,b,d)].
% 179.33/179.60 44 product(A,B,A) | -product(C,D,A) | -product(D,B,D). [factor(27,b,d)].
% 179.33/179.60 46 sum(A,B,A) | -sum(C,D,C) | -product(C,E,A) | -product(D,E,B). [factor(28,c,d)].
% 179.33/179.60 54 defined(additive_inverse(multiplicative_identity)). [resolve(6,b,2,a)].
% 179.33/179.60 57 sum(additive_identity,multiplicative_identity,multiplicative_identity). [resolve(7,b,2,a)].
% 179.33/179.60 59 product(multiplicative_identity,m,m). [resolve(8,b,3,a)].
% 179.33/179.60 60 product(multiplicative_identity,multiplicative_identity,multiplicative_identity). [resolve(8,b,2,a)].
% 179.33/179.60 61 product(multiplicative_identity,additive_identity,additive_identity). [resolve(8,b,1,a)].
% 179.33/179.60 62 sum(additive_inverse(m),m,additive_identity). [resolve(9,b,3,a)].
% 179.33/179.60 63 sum(additive_inverse(multiplicative_identity),multiplicative_identity,additive_identity). [resolve(9,b,2,a)].
% 179.33/179.60 65 -sum(m,additive_identity,multiplicative_identity). [ur(11,a,5,a)].
% 179.33/179.60 72 defined(multiply(m,A)) | -defined(A). [resolve(14,b,3,a)].
% 179.33/179.60 83 sum(A,m,add(A,m)) | -defined(A). [resolve(17,c,3,a)].
% 179.33/179.60 86 product(m,A,multiply(m,A)) | -defined(A). [resolve(18,b,3,a)].
% 179.33/179.60 87 product(multiplicative_identity,A,multiply(multiplicative_identity,A)) | -defined(A). [resolve(18,b,2,a)].
% 179.33/179.60 149 product(multiplicative_identity,additive_inverse(multiplicative_identity),additive_inverse(multiplicative_identity)). [resolve(54,a,8,b)].
% 179.33/179.60 195 sum(multiplicative_identity,additive_identity,multiplicative_identity). [resolve(57,a,11,b)].
% 179.33/179.60 239 sum(m,A,m) | -sum(multiplicative_identity,B,multiplicative_identity) | -product(B,m,A). [resolve(59,a,46,c)].
% 179.33/179.60 246 sum(m,A,B) | -sum(multiplicative_identity,C,D) | -product(D,m,B) | -product(C,m,A). [resolve(59,a,28,d)].
% 179.33/179.60 254 product(m,multiplicative_identity,m). [resolve(59,a,12,b)].
% 179.33/179.60 266 sum(multiplicative_identity,A,multiplicative_identity) | -sum(multiplicative_identity,B,multiplicative_identity) | -product(B,multiplicative_identity,A). [resolve(60,a,46,c)].
% 179.33/179.60 303 product(additive_identity,multiplicative_identity,additive_identity). [resolve(61,a,12,b)].
% 179.33/179.60 345 sum(additive_identity,A,additive_identity) | -sum(m,A,m). [resolve(62,a,40,b)].
% 179.33/179.60 442 sum(additive_identity,A,additive_identity) | -sum(multiplicative_identity,A,multiplicative_identity). [resolve(63,a,40,b)].
% 179.33/179.60 452 sum(multiplicative_identity,additive_inverse(multiplicative_identity),additive_identity). [resolve(63,a,11,b)].
% 179.33/179.60 458 -sum(m,additive_inverse(multiplicative_identity),additive_identity). [ur(24,a,65,a,c,63,a,d,57,a)].
% 179.33/179.60 620 product(A,multiplicative_identity,A) | -product(B,m,A). [resolve(254,a,44,c)].
% 179.33/179.60 625 sum(A,m,B) | -sum(C,m,D) | -product(D,multiplicative_identity,B) | -product(C,multiplicative_identity,A). [resolve(254,a,28,e)].
% 179.33/179.60 632 product(A,m,B) | -product(A,m,C) | -product(C,multiplicative_identity,B). [resolve(254,a,26,c)].
% 179.33/179.60 634 less_or_equal(m,multiplicative_identity). [resolve(254,a,10,b)].
% 179.33/179.60 655 -sum(additive_inverse(multiplicative_identity),m,additive_identity). [ur(11,a,458,a)].
% 179.33/179.60 670 product(A,multiplicative_identity,B) | -sum(additive_identity,C,A) | -product(C,multiplicative_identity,D) | -sum(additive_identity,D,B). [resolve(303,a,29,c)].
% 179.33/179.60 1221 less_or_equal(A,additive_identity) | -less_or_equal(B,multiplicative_identity) | -sum(B,additive_inverse(multiplicative_identity),A). [resolve(452,a,23,d)].
% 179.33/179.60 1307 defined(multiply(m,additive_identity)). [resolve(72,b,1,a)].
% 179.33/179.60 1370 sum(additive_identity,multiply(m,additive_identity),multiply(m,additive_identity)). [resolve(1307,a,7,b)].
% 179.33/179.60 3041 sum(additive_inverse(multiplicative_identity),m,add(additive_inverse(multiplicative_identity),m)). [resolve(83,b,54,a)].
% 179.33/179.60 3714 product(m,additive_inverse(multiplicative_identity),multiply(m,additive_inverse(multiplicative_identity))). [resolve(86,b,54,a)].
% 179.33/179.60 3717 product(m,additive_identity,multiply(m,additive_identity)). [resolve(86,b,1,a)].
% 179.33/179.60 3928 product(multiplicative_identity,additive_identity,multiply(multiplicative_identity,additive_identity)). [resolve(87,b,1,a)].
% 179.33/179.60 4746 product(additive_inverse(multiplicative_identity),multiplicative_identity,additive_inverse(multiplicative_identity)). [resolve(149,a,12,b)].
% 179.33/179.60 8240 product(additive_identity,m,multiply(m,additive_identity)). [resolve(3717,a,12,b)].
% 179.33/179.60 8348 product(additive_identity,multiplicative_identity,multiply(multiplicative_identity,additive_identity)). [resolve(3928,a,12,b)].
% 179.33/179.60 9764 sum(m,multiply(m,additive_identity),m). [resolve(8240,a,239,c),unit_del(b,195)].
% 179.33/179.60 9950 sum(multiplicative_identity,multiply(multiplicative_identity,additive_identity),multiplicative_identity). [resolve(8348,a,266,c),unit_del(b,195)].
% 179.33/179.60 11937 sum(additive_identity,multiply(m,additive_identity),additive_identity). [resolve(345,b,9764,a)].
% 179.33/179.60 12529 sum(additive_identity,multiply(multiplicative_identity,additive_identity),additive_identity). [resolve(442,b,9950,a)].
% 179.33/179.60 13417 product(multiply(m,additive_identity),multiplicative_identity,multiply(m,additive_identity)). [resolve(620,b,8240,a)].
% 179.33/179.60 15405 sum(m,additive_inverse(multiplicative_identity),add(additive_inverse(multiplicative_identity),m)). [resolve(3041,a,11,b)].
% 179.33/179.60 15408 -product(add(additive_inverse(multiplicative_identity),m),multiplicative_identity,additive_identity). [ur(625,a,655,a,b,3041,a,d,4746,a)].
% 179.33/179.60 15945 product(additive_inverse(multiplicative_identity),m,multiply(m,additive_inverse(multiplicative_identity))). [resolve(3714,a,12,b)].
% 179.33/179.60 15946 less_or_equal(multiply(m,additive_inverse(multiplicative_identity)),additive_inverse(multiplicative_identity)). [resolve(3714,a,10,b)].
% 179.33/179.60 16025 -sum(additive_identity,additive_identity,add(additive_inverse(multiplicative_identity),m)). [ur(670,a,15408,a,c,8348,a,d,12529,a)].
% 179.33/179.60 20760 less_or_equal(add(additive_inverse(multiplicative_identity),m),additive_identity). [resolve(15405,a,1221,c),unit_del(b,634)].
% 179.33/179.60 20781 -less_or_equal(additive_identity,add(additive_inverse(multiplicative_identity),m)). [resolve(20760,a,19,c),unit_del(a,16025)].
% 179.33/179.60 20817 -sum(multiply(m,additive_inverse(multiplicative_identity)),m,additive_identity). [ur(23,a,20781,a,b,15946,a,d,3041,a)].
% 179.33/179.60 20867 -sum(m,multiply(m,additive_inverse(multiplicative_identity)),additive_identity). [ur(11,a,20817,a)].
% 179.33/179.60 20963 -product(additive_identity,m,additive_identity). [ur(246,a,20867,a,b,452,a,d,15945,a)].
% 179.33/179.60 20981 -product(multiply(m,additive_identity),multiplicative_identity,additive_identity). [ur(632,a,20963,a,b,8240,a)].
% 179.33/179.60 22728 $F. [ur(670,a,20981,a,c,13417,a,d,11937,a),unit_del(a,1370)].
% 179.33/179.60
% 179.33/179.60 % SZS output end Refutation
% 179.33/179.60 ============================== end of proof ==========================
% 179.33/179.60
% 179.33/179.60 ============================== STATISTICS ============================
% 179.33/179.60
% 179.33/179.60 Given=13126. Generated=4342639. Kept=22727. proofs=1.
% 179.33/179.60 Usable=13110. Sos=9435. Demods=0. Limbo=5, Disabled=206. Hints=0.
% 179.33/179.60 Megabytes=11.69.
% 179.33/179.60 User_CPU=176.30, System_CPU=2.31, Wall_clock=178.
% 179.33/179.60
% 179.33/179.60 ============================== end of statistics =====================
% 179.33/179.60
% 179.33/179.60 ============================== end of search =========================
% 179.33/179.60
% 179.33/179.60 THEOREM PROVED
% 179.33/179.60 % SZS status Unsatisfiable
% 179.33/179.60
% 179.33/179.60 Exiting with 1 proof.
% 179.33/179.60
% 179.33/179.60 Process 18416 exit (max_proofs) Mon Jun 6 10:46:48 2022
% 179.33/179.60 Prover9 interrupted
%------------------------------------------------------------------------------