TSTP Solution File: GRP020-1 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GRP020-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n012.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 : 300s
% DateTime : Thu Aug 31 00:10:36 EDT 2023
% Result : Unsatisfiable 0.20s 0.72s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP020-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.12/0.35 % Computer : n012.cluster.edu
% 0.12/0.35 % Model : x86_64 x86_64
% 0.12/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35 % Memory : 8042.1875MB
% 0.12/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35 % CPULimit : 300
% 0.12/0.35 % WCLimit : 300
% 0.12/0.35 % DateTime : Mon Aug 28 23:08:39 EDT 2023
% 0.12/0.35 % CPUTime :
% 0.20/0.58 start to proof:theBenchmark
% 0.20/0.71 %-------------------------------------------
% 0.20/0.71 % File :CSE---1.6
% 0.20/0.71 % Problem :theBenchmark
% 0.20/0.71 % Transform :cnf
% 0.20/0.71 % Format :tptp:raw
% 0.20/0.71 % Command :java -jar mcs_scs.jar %d %s
% 0.20/0.71
% 0.20/0.71 % Result :Theorem 0.050000s
% 0.20/0.71 % Output :CNFRefutation 0.050000s
% 0.20/0.71 %-------------------------------------------
% 0.20/0.71 %--------------------------------------------------------------------------
% 0.20/0.71 % File : GRP020-1 : TPTP v8.1.2. Released v1.0.0.
% 0.20/0.71 % Domain : Group Theory
% 0.20/0.71 % Problem : Inverse of X times X is the identity
% 0.20/0.71 % Version : [MOW76] axioms.
% 0.20/0.71 % English :
% 0.20/0.71
% 0.20/0.71 % Refs : [MOW76] McCharen et al. (1976), Problems and Experiments for a
% 0.20/0.71 % : [OMW76] Overbeek et al. (1976), Complexity and Related Enhance
% 0.20/0.71 % Source : [MOW76]
% 0.20/0.71 % Names : Identity established [MOW76]
% 0.20/0.71 % : Lemma proved [OMW76]
% 0.20/0.71
% 0.20/0.71 % Status : Unsatisfiable
% 0.20/0.71 % Rating : 0.00 v5.3.0, 0.08 v5.2.0, 0.00 v2.0.0
% 0.20/0.71 % Syntax : Number of clauses : 9 ( 6 unt; 0 nHn; 4 RR)
% 0.20/0.71 % Number of literals : 17 ( 2 equ; 9 neg)
% 0.20/0.71 % Maximal clause size : 4 ( 1 avg)
% 0.20/0.71 % Maximal term depth : 3 ( 1 avg)
% 0.20/0.71 % Number of predicates : 2 ( 1 usr; 0 prp; 2-3 aty)
% 0.20/0.71 % Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% 0.20/0.71 % Number of variables : 22 ( 0 sgn)
% 0.20/0.71 % SPC : CNF_UNS_RFO_SEQ_HRN
% 0.20/0.71
% 0.20/0.71 % Comments :
% 0.20/0.71 %--------------------------------------------------------------------------
% 0.20/0.71 %----Include group theory axioms
% 0.20/0.71 include('Axioms/GRP003-0.ax').
% 0.20/0.71 %--------------------------------------------------------------------------
% 0.20/0.71 cnf(prove_inverse_X_times_X_is_id,negated_conjecture,
% 0.20/0.71 multiply(inverse(a),a) != identity ).
% 0.20/0.72
% 0.20/0.72 %--------------------------------------------------------------------------
% 0.20/0.72 %-------------------------------------------
% 0.20/0.72 % Proof found
% 0.20/0.72 % SZS status Theorem for theBenchmark
% 0.20/0.72 % SZS output start Proof
% 0.20/0.72 %ClaNum:18(EqnAxiom:9)
% 0.20/0.72 %VarNum:44(SingletonVarNum:22)
% 0.20/0.72 %MaxLitNum:4
% 0.20/0.72 %MaxfuncDepth:2
% 0.20/0.72 %SharedTerms:5
% 0.20/0.72 %goalClause: 15
% 0.20/0.72 %singleGoalClaCount:1
% 0.20/0.72 [15]~E(f4(f3(a2),a2),a1)
% 0.20/0.72 [10]P1(x101,a1,x101)
% 0.20/0.72 [11]P1(a1,x111,x111)
% 0.20/0.72 [12]P1(x121,f3(x121),a1)
% 0.20/0.72 [13]P1(f3(x131),x131,a1)
% 0.20/0.72 [14]P1(x141,x142,f4(x141,x142))
% 0.20/0.72 [16]~P1(x163,x164,x161)+E(x161,x162)+~P1(x163,x164,x162)
% 0.20/0.72 [17]~P1(x176,x174,x171)+P1(x171,x172,x173)+~P1(x174,x172,x175)+~P1(x176,x175,x173)
% 0.20/0.72 [18]~P1(x181,x186,x184)+P1(x181,x182,x183)+~P1(x184,x185,x183)+~P1(x186,x185,x182)
% 0.20/0.72 %EqnAxiom
% 0.20/0.72 [1]E(x11,x11)
% 0.20/0.72 [2]E(x22,x21)+~E(x21,x22)
% 0.20/0.72 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.20/0.72 [4]~E(x41,x42)+E(f3(x41),f3(x42))
% 0.20/0.72 [5]~E(x51,x52)+E(f4(x51,x53),f4(x52,x53))
% 0.20/0.72 [6]~E(x61,x62)+E(f4(x63,x61),f4(x63,x62))
% 0.20/0.72 [7]P1(x72,x73,x74)+~E(x71,x72)+~P1(x71,x73,x74)
% 0.20/0.72 [8]P1(x83,x82,x84)+~E(x81,x82)+~P1(x83,x81,x84)
% 0.20/0.72 [9]P1(x93,x94,x92)+~E(x91,x92)+~P1(x93,x94,x91)
% 0.20/0.72
% 0.20/0.72 %-------------------------------------------
% 0.20/0.73 cnf(19,plain,
% 0.20/0.73 (E(x191,f4(x191,a1))),
% 0.20/0.73 inference(scs_inference,[],[10,14,16])).
% 0.20/0.73 cnf(20,plain,
% 0.20/0.73 (P1(x201,x202,f4(x201,x202))),
% 0.20/0.73 inference(rename_variables,[],[14])).
% 0.20/0.73 cnf(21,plain,
% 0.20/0.73 (P1(x211,f4(a1,a1),x211)),
% 0.20/0.73 inference(scs_inference,[],[10,14,20,16,18])).
% 0.20/0.73 cnf(24,plain,
% 0.20/0.73 (~E(a1,f4(f3(a2),a2))),
% 0.20/0.73 inference(scs_inference,[],[15,10,14,20,16,18,2])).
% 0.20/0.73 cnf(25,plain,
% 0.20/0.73 (E(f4(x251,x252),f4(x251,f4(x252,a1)))),
% 0.20/0.73 inference(scs_inference,[],[15,10,14,20,16,18,2,6])).
% 0.20/0.73 cnf(26,plain,
% 0.20/0.73 (E(f4(x261,x262),f4(f4(x261,a1),x262))),
% 0.20/0.73 inference(scs_inference,[],[15,10,14,20,16,18,2,6,5])).
% 0.20/0.73 cnf(27,plain,
% 0.20/0.73 (E(f3(x271),f3(f4(x271,a1)))),
% 0.20/0.73 inference(scs_inference,[],[15,10,14,20,16,18,2,6,5,4])).
% 0.20/0.73 cnf(28,plain,
% 0.20/0.73 (~E(f4(a1,a1),f4(f3(a2),a2))),
% 0.20/0.73 inference(scs_inference,[],[15,10,14,20,16,18,2,6,5,4,3])).
% 0.20/0.73 cnf(40,plain,
% 0.20/0.73 (~P1(x401,f3(x401),f4(f3(a2),a2))),
% 0.20/0.73 inference(scs_inference,[],[12,24,16])).
% 0.20/0.73 cnf(42,plain,
% 0.20/0.73 (~P1(f3(x421),f4(f3(a2),a2),f3(x421))),
% 0.20/0.73 inference(scs_inference,[],[12,11,24,16,18])).
% 0.20/0.73 cnf(43,plain,
% 0.20/0.73 (P1(a1,x431,x431)),
% 0.20/0.73 inference(rename_variables,[],[11])).
% 0.20/0.73 cnf(45,plain,
% 0.20/0.73 (~P1(f4(f3(a2),a2),x451,x451)),
% 0.20/0.73 inference(scs_inference,[],[12,11,10,24,16,18,17])).
% 0.20/0.73 cnf(51,plain,
% 0.20/0.73 (E(f4(x511,x512),f4(x511,f4(x512,a1)))),
% 0.20/0.73 inference(rename_variables,[],[25])).
% 0.20/0.73 cnf(56,plain,
% 0.20/0.73 (E(f4(x561,f4(x562,a1)),f4(x561,x562))),
% 0.20/0.73 inference(scs_inference,[],[12,11,43,10,25,51,26,19,24,16,18,17,9,3,7,2])).
% 0.20/0.73 cnf(60,plain,
% 0.20/0.73 (P1(x601,a1,x601)),
% 0.20/0.73 inference(rename_variables,[],[10])).
% 0.20/0.73 cnf(64,plain,
% 0.20/0.73 (P1(x641,a1,x641)),
% 0.20/0.73 inference(rename_variables,[],[10])).
% 0.20/0.73 cnf(72,plain,
% 0.20/0.73 (E(x721,f4(x721,a1))),
% 0.20/0.73 inference(rename_variables,[],[19])).
% 0.20/0.73 cnf(75,plain,
% 0.20/0.73 (~E(f4(f3(a2),a2),f4(a1,a1))),
% 0.20/0.73 inference(scs_inference,[],[10,60,64,19,14,13,56,40,42,28,16,18,17,3,9,2])).
% 0.20/0.73 cnf(77,plain,
% 0.20/0.73 (~P1(x771,f3(x771),f4(f3(a2),a2))),
% 0.20/0.73 inference(rename_variables,[],[40])).
% 0.20/0.73 cnf(78,plain,
% 0.20/0.73 (~P1(x781,f3(f4(x781,a1)),f4(f3(a2),a2))),
% 0.20/0.73 inference(scs_inference,[],[10,60,64,19,72,14,13,56,27,40,77,42,28,16,18,17,3,9,2,8,7])).
% 0.20/0.73 cnf(80,plain,
% 0.20/0.73 (E(f3(a1),a1)),
% 0.20/0.73 inference(scs_inference,[],[10,13,16])).
% 0.20/0.73 cnf(103,plain,
% 0.20/0.73 (~P1(a1,f4(f3(a2),a2),f4(a1,a1))),
% 0.20/0.73 inference(scs_inference,[],[11,75,16])).
% 0.20/0.73 cnf(104,plain,
% 0.20/0.73 (P1(a1,x1041,x1041)),
% 0.20/0.73 inference(rename_variables,[],[11])).
% 0.20/0.73 cnf(107,plain,
% 0.20/0.73 (P1(x1071,f4(a1,a1),x1071)),
% 0.20/0.73 inference(rename_variables,[],[21])).
% 0.20/0.73 cnf(108,plain,
% 0.20/0.73 (P1(a1,x1081,x1081)),
% 0.20/0.73 inference(rename_variables,[],[11])).
% 0.20/0.73 cnf(109,plain,
% 0.20/0.73 (~P1(x1091,f3(f4(x1091,a1)),f4(f3(a2),a2))),
% 0.20/0.73 inference(rename_variables,[],[78])).
% 0.20/0.73 cnf(116,plain,
% 0.20/0.73 (E(f3(a1),f4(a1,a1))),
% 0.20/0.73 inference(scs_inference,[],[11,104,21,107,19,14,45,78,75,80,16,18,17,3])).
% 0.20/0.73 cnf(118,plain,
% 0.20/0.73 (~E(f3(f4(a1,a1)),f4(f3(a2),a2))),
% 0.20/0.73 inference(scs_inference,[],[11,104,108,21,107,19,14,45,78,109,75,80,16,18,17,3,9])).
% 0.20/0.73 cnf(131,plain,
% 0.20/0.73 (P1(a1,x1311,x1311)),
% 0.20/0.73 inference(rename_variables,[],[11])).
% 0.20/0.73 cnf(133,plain,
% 0.20/0.73 (~P1(f4(a1,a1),f4(a1,a1),f4(f3(a2),a2))),
% 0.20/0.73 inference(scs_inference,[],[11,131,21,103,118,16,18])).
% 0.20/0.73 cnf(152,plain,
% 0.20/0.73 (P1(f3(x1521),x1521,a1)),
% 0.20/0.73 inference(rename_variables,[],[13])).
% 0.20/0.73 cnf(153,plain,
% 0.20/0.73 (P1(x1531,f4(a1,a1),x1531)),
% 0.20/0.73 inference(rename_variables,[],[21])).
% 0.20/0.73 cnf(155,plain,
% 0.20/0.73 (~P1(f4(a1,a1),a1,f4(f3(a2),a2))),
% 0.20/0.73 inference(scs_inference,[],[21,153,13,133,11,16,18])).
% 0.20/0.73 cnf(156,plain,
% 0.20/0.73 (P1(x1561,f4(a1,a1),x1561)),
% 0.20/0.73 inference(rename_variables,[],[21])).
% 0.20/0.73 cnf(160,plain,
% 0.20/0.73 (P1(x1601,f3(x1601),a1)),
% 0.20/0.73 inference(rename_variables,[],[12])).
% 0.20/0.73 cnf(165,plain,
% 0.20/0.73 (E(x1651,f4(x1651,a1))),
% 0.20/0.73 inference(rename_variables,[],[19])).
% 0.20/0.73 cnf(167,plain,
% 0.20/0.73 (E(x1671,f4(x1671,a1))),
% 0.20/0.73 inference(rename_variables,[],[19])).
% 0.20/0.73 cnf(172,plain,
% 0.20/0.73 (~E(f4(f3(a2),a2),f4(f4(a1,a1),a1))),
% 0.20/0.73 inference(scs_inference,[],[12,160,21,153,156,13,152,19,165,167,133,116,28,11,16,18,17,3,9,8,7,2])).
% 0.20/0.73 cnf(173,plain,
% 0.20/0.73 (~P1(a1,f4(a1,a1),f4(f3(a2),a2))),
% 0.20/0.73 inference(scs_inference,[],[24,21,16])).
% 0.20/0.73 cnf(194,plain,
% 0.20/0.73 (P1(x1941,f4(a1,a1),x1941)),
% 0.20/0.73 inference(rename_variables,[],[21])).
% 0.20/0.73 cnf(197,plain,
% 0.20/0.73 (P1(x1971,x1972,f4(x1971,x1972))),
% 0.20/0.73 inference(rename_variables,[],[14])).
% 0.20/0.73 cnf(199,plain,
% 0.20/0.73 ($false),
% 0.20/0.73 inference(scs_inference,[],[13,21,194,14,197,172,173,155,16,18,17]),
% 0.20/0.73 ['proof']).
% 0.20/0.73 % SZS output end Proof
% 0.20/0.73 % Total time :0.050000s
%------------------------------------------------------------------------------