TSTP Solution File: GRP046-2 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GRP046-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n028.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 00:10:45 EDT 2023
% Result : Unsatisfiable 0.19s 0.64s
% Output : CNFRefutation 0.53s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP046-2 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.33 % Computer : n028.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Aug 29 02:29:25 EDT 2023
% 0.13/0.33 % CPUTime :
% 0.19/0.56 start to proof:theBenchmark
% 0.19/0.63 %-------------------------------------------
% 0.19/0.63 % File :CSE---1.6
% 0.19/0.63 % Problem :theBenchmark
% 0.19/0.63 % Transform :cnf
% 0.19/0.64 % Format :tptp:raw
% 0.19/0.64 % Command :java -jar mcs_scs.jar %d %s
% 0.19/0.64
% 0.19/0.64 % Result :Theorem 0.020000s
% 0.19/0.64 % Output :CNFRefutation 0.020000s
% 0.19/0.64 %-------------------------------------------
% 0.19/0.64 %--------------------------------------------------------------------------
% 0.19/0.64 % File : GRP046-2 : TPTP v8.1.2. Released v1.0.0.
% 0.19/0.64 % Domain : Group Theory
% 0.19/0.64 % Problem : Multiply substitution 1 is dependent
% 0.19/0.64 % Version : [Ver92] axioms.
% 0.19/0.64 % English :
% 0.19/0.64
% 0.19/0.64 % Refs : [Ver92] Veroff (1992), Email to G. Sutcliffe
% 0.19/0.64 % Source : [Ver92]
% 0.19/0.64 % Names : - [Ver92]
% 0.19/0.64
% 0.19/0.64 % Status : Unsatisfiable
% 0.19/0.64 % Rating : 0.00 v7.4.0, 0.17 v7.3.0, 0.00 v5.4.0, 0.11 v5.3.0, 0.15 v5.2.0, 0.08 v5.1.0, 0.06 v5.0.0, 0.00 v2.1.0, 0.00 v2.0.0
% 0.19/0.64 % Syntax : Number of clauses : 9 ( 5 unt; 0 nHn; 6 RR)
% 0.19/0.64 % Number of literals : 19 ( 0 equ; 11 neg)
% 0.19/0.64 % Maximal clause size : 4 ( 2 avg)
% 0.19/0.64 % Maximal term depth : 2 ( 1 avg)
% 0.19/0.64 % Number of predicates : 2 ( 2 usr; 0 prp; 2-3 aty)
% 0.19/0.64 % Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% 0.19/0.64 % Number of variables : 24 ( 0 sgn)
% 0.19/0.64 % SPC : CNF_UNS_RFO_NEQ_HRN
% 0.19/0.64
% 0.19/0.64 % Comments :
% 0.19/0.64 %--------------------------------------------------------------------------
% 0.19/0.64 %----Include Veroff's minimal axiom set
% 0.19/0.64 include('Axioms/GRP005-0.ax').
% 0.19/0.64 %--------------------------------------------------------------------------
% 0.19/0.64 cnf(a_equals_b,hypothesis,
% 0.19/0.64 equalish(a,b) ).
% 0.19/0.64
% 0.19/0.64 cnf(prove_multiply_substitution1,negated_conjecture,
% 0.19/0.64 ~ equalish(multiply(a,c),multiply(b,c)) ).
% 0.19/0.64
% 0.19/0.64 %--------------------------------------------------------------------------
% 0.19/0.64 %-------------------------------------------
% 0.19/0.64 % Proof found
% 0.19/0.64 % SZS status Theorem for theBenchmark
% 0.19/0.64 % SZS output start Proof
% 0.53/0.64 %ClaNum:9(EqnAxiom:0)
% 0.53/0.64 %VarNum:48(SingletonVarNum:24)
% 0.53/0.64 %MaxLitNum:4
% 0.53/0.64 %MaxfuncDepth:1
% 0.53/0.64 %SharedTerms:8
% 0.53/0.64 %goalClause: 5
% 0.53/0.64 %singleGoalClaCount:1
% 0.53/0.64 [1]P1(a1,a2)
% 0.53/0.64 [5]~P1(f6(a1,a4),f6(a2,a4))
% 0.53/0.64 [2]P2(a3,x21,x21)
% 0.53/0.64 [3]P2(f5(x31),x31,a3)
% 0.53/0.64 [4]P2(x41,x42,f6(x41,x42))
% 0.53/0.64 [6]~P2(x61,x62,x64)+P2(x61,x62,x63)+~P1(x64,x63)
% 0.53/0.64 [7]~P2(x73,x74,x71)+P1(x71,x72)+~P2(x73,x74,x72)
% 0.53/0.64 [8]~P2(x86,x84,x81)+P2(x81,x82,x83)+~P2(x84,x82,x85)+~P2(x86,x85,x83)
% 0.53/0.64 [9]~P2(x91,x96,x94)+P2(x91,x92,x93)+~P2(x94,x95,x93)+~P2(x96,x95,x92)
% 0.53/0.64 %EqnAxiom
% 0.53/0.64
% 0.53/0.64 %-------------------------------------------
% 0.53/0.65 cnf(11,plain,
% 0.53/0.65 (P2(a3,a1,a2)),
% 0.53/0.65 inference(scs_inference,[],[2,1,7,6])).
% 0.53/0.65 cnf(12,plain,
% 0.53/0.65 (P2(a3,x121,x121)),
% 0.53/0.65 inference(rename_variables,[],[2])).
% 0.53/0.65 cnf(14,plain,
% 0.53/0.65 (P2(a3,f6(a3,a3),a3)),
% 0.53/0.65 inference(scs_inference,[],[2,12,1,4,7,6,9])).
% 0.53/0.65 cnf(25,plain,
% 0.53/0.65 (P2(x251,x252,f6(x251,x252))),
% 0.53/0.65 inference(rename_variables,[],[4])).
% 0.53/0.65 cnf(26,plain,
% 0.53/0.65 (P2(a3,x261,x261)),
% 0.53/0.65 inference(rename_variables,[],[2])).
% 0.53/0.65 cnf(28,plain,
% 0.53/0.65 (~P2(a1,a4,f6(a2,a4))),
% 0.53/0.65 inference(scs_inference,[],[5,4,25,2,8,7])).
% 0.53/0.65 cnf(29,plain,
% 0.53/0.65 (P2(x291,x292,f6(x291,x292))),
% 0.53/0.65 inference(rename_variables,[],[4])).
% 0.53/0.65 cnf(31,plain,
% 0.53/0.65 (~P2(f6(a1,a3),a4,f6(a2,a4))),
% 0.53/0.65 inference(scs_inference,[],[5,4,25,29,2,26,8,7,9])).
% 0.53/0.65 cnf(32,plain,
% 0.53/0.65 (P2(x321,x322,f6(x321,x322))),
% 0.53/0.65 inference(rename_variables,[],[4])).
% 0.53/0.65 cnf(35,plain,
% 0.53/0.65 (~P1(f6(f6(a1,a3),a4),f6(a2,a4))),
% 0.53/0.65 inference(scs_inference,[],[5,4,25,29,32,2,26,8,7,9,6])).
% 0.53/0.65 cnf(38,plain,
% 0.53/0.65 (~P2(a2,a4,f6(f6(a1,a3),a4))),
% 0.53/0.65 inference(scs_inference,[],[4,35,7])).
% 0.53/0.65 cnf(39,plain,
% 0.53/0.65 (P2(x391,x392,f6(x391,x392))),
% 0.53/0.65 inference(rename_variables,[],[4])).
% 0.53/0.65 cnf(41,plain,
% 0.53/0.65 (~P2(f6(a1,a3),a3,a2)),
% 0.53/0.65 inference(scs_inference,[],[4,39,2,35,31,7,9])).
% 0.53/0.65 cnf(48,plain,
% 0.53/0.65 (P1(a3,f6(f5(x481),x481))),
% 0.53/0.65 inference(scs_inference,[],[3,4,7])).
% 0.53/0.65 cnf(49,plain,
% 0.53/0.65 (P2(x491,x492,f6(x491,x492))),
% 0.53/0.65 inference(rename_variables,[],[4])).
% 0.53/0.65 cnf(52,plain,
% 0.53/0.65 (P2(x521,x522,f6(x521,x522))),
% 0.53/0.65 inference(rename_variables,[],[4])).
% 0.53/0.65 cnf(53,plain,
% 0.53/0.65 (P2(a3,x531,x531)),
% 0.53/0.65 inference(rename_variables,[],[2])).
% 0.53/0.65 cnf(55,plain,
% 0.53/0.65 (~P2(a2,a3,a1)),
% 0.53/0.65 inference(scs_inference,[],[3,4,49,52,2,53,28,7,9,8])).
% 0.53/0.65 cnf(60,plain,
% 0.53/0.65 (P2(a3,x601,x601)),
% 0.53/0.65 inference(rename_variables,[],[2])).
% 0.53/0.65 cnf(63,plain,
% 0.53/0.65 (P2(x631,x632,f6(x631,x632))),
% 0.53/0.65 inference(rename_variables,[],[4])).
% 0.53/0.65 cnf(65,plain,
% 0.53/0.65 (P2(a2,x651,f6(a1,x651))),
% 0.53/0.65 inference(scs_inference,[],[2,60,11,4,63,35,7,9,8])).
% 0.53/0.65 cnf(69,plain,
% 0.53/0.65 (~P2(f6(a1,a3),f5(a2),a3)),
% 0.53/0.65 inference(scs_inference,[],[2,3,41,9])).
% 0.53/0.65 cnf(70,plain,
% 0.53/0.65 (P2(a3,x701,x701)),
% 0.53/0.65 inference(rename_variables,[],[2])).
% 0.53/0.65 cnf(73,plain,
% 0.53/0.65 (~P2(a3,f6(a2,a4),f6(a1,a4))),
% 0.53/0.65 inference(scs_inference,[],[2,70,3,41,5,9,7])).
% 0.53/0.65 cnf(74,plain,
% 0.53/0.65 (P2(a3,x741,x741)),
% 0.53/0.65 inference(rename_variables,[],[2])).
% 0.53/0.65 cnf(78,plain,
% 0.53/0.65 (P2(x781,x782,f6(x781,x782))),
% 0.53/0.65 inference(rename_variables,[],[4])).
% 0.53/0.65 cnf(80,plain,
% 0.53/0.65 (~P1(f6(f6(a1,a3),a3),a2)),
% 0.53/0.65 inference(scs_inference,[],[2,70,74,11,3,4,78,41,5,9,7,8,6])).
% 0.53/0.65 cnf(84,plain,
% 0.53/0.65 (P2(f5(x841),x841,a3)),
% 0.53/0.65 inference(rename_variables,[],[3])).
% 0.53/0.65 cnf(86,plain,
% 0.53/0.65 (P1(f6(a2,x861),f6(a1,x861))),
% 0.53/0.65 inference(scs_inference,[],[3,11,4,65,9,7])).
% 0.53/0.65 cnf(93,plain,
% 0.53/0.65 (P2(f5(x931),x931,f6(f5(x932),x932))),
% 0.53/0.65 inference(scs_inference,[],[3,84,14,11,4,65,48,69,2,9,7,8,6])).
% 0.53/0.65 cnf(96,plain,
% 0.53/0.65 (P2(x961,x962,f6(x961,x962))),
% 0.53/0.65 inference(rename_variables,[],[4])).
% 0.53/0.65 cnf(102,plain,
% 0.53/0.65 (P2(x1021,x1022,f6(x1021,x1022))),
% 0.53/0.65 inference(rename_variables,[],[4])).
% 0.53/0.65 cnf(104,plain,
% 0.53/0.65 (~P2(a3,f6(a1,a4),f6(f6(a1,a3),a4))),
% 0.53/0.65 inference(scs_inference,[],[3,11,4,96,102,93,38,55,6,7,9,8])).
% 0.53/0.65 cnf(109,plain,
% 0.53/0.65 (~P2(f6(a3,a2),a4,f6(f6(a1,a3),a4))),
% 0.53/0.65 inference(scs_inference,[],[4,11,104,80,65,7,9])).
% 0.53/0.65 cnf(120,plain,
% 0.53/0.65 (P2(a3,x1201,x1201)),
% 0.53/0.65 inference(rename_variables,[],[2])).
% 0.53/0.65 cnf(121,plain,
% 0.53/0.65 (P2(x1211,x1212,f6(x1211,x1212))),
% 0.53/0.65 inference(rename_variables,[],[4])).
% 0.53/0.65 cnf(124,plain,
% 0.53/0.65 (P2(x1241,x1242,f6(x1241,x1242))),
% 0.53/0.65 inference(rename_variables,[],[4])).
% 0.53/0.65 cnf(125,plain,
% 0.53/0.65 (P2(a3,x1251,x1251)),
% 0.53/0.65 inference(rename_variables,[],[2])).
% 0.53/0.65 cnf(131,plain,
% 0.53/0.65 ($false),
% 0.53/0.65 inference(scs_inference,[],[4,121,124,14,86,109,73,2,120,125,7,9,8,6]),
% 0.53/0.65 ['proof']).
% 0.53/0.65 % SZS output end Proof
% 0.53/0.65 % Total time :0.020000s
%------------------------------------------------------------------------------