TSTP Solution File: GRP047-2 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GRP047-2 : 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 : n004.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 00:10:46 EDT 2023
% Result : Unsatisfiable 0.77s 0.87s
% Output : CNFRefutation 0.82s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP047-2 : TPTP v8.1.2. Released v1.0.0.
% 0.12/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n004.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 : 300
% 0.13/0.34 % DateTime : Mon Aug 28 21:08:22 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.55 start to proof:theBenchmark
% 0.77/0.87 %-------------------------------------------
% 0.77/0.87 % File :CSE---1.6
% 0.77/0.87 % Problem :theBenchmark
% 0.77/0.87 % Transform :cnf
% 0.77/0.87 % Format :tptp:raw
% 0.77/0.87 % Command :java -jar mcs_scs.jar %d %s
% 0.77/0.87
% 0.77/0.87 % Result :Theorem 0.270000s
% 0.77/0.87 % Output :CNFRefutation 0.270000s
% 0.77/0.87 %-------------------------------------------
% 0.77/0.87 %--------------------------------------------------------------------------
% 0.77/0.87 % File : GRP047-2 : TPTP v8.1.2. Released v1.0.0.
% 0.77/0.87 % Domain : Group Theory
% 0.77/0.87 % Problem : Multiply substitution 2 is dependent
% 0.77/0.87 % Version : [Ver92] axioms.
% 0.77/0.87 % English :
% 0.77/0.87
% 0.77/0.87 % Refs : [Ver92] Veroff (1992), Email to G. Sutcliffe
% 0.77/0.87 % Source : [Ver92]
% 0.77/0.87 % Names : - [Ver92]
% 0.77/0.87
% 0.77/0.87 % Status : Unsatisfiable
% 0.77/0.87 % 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 v2.4.0, 0.14 v2.3.0, 0.00 v2.1.0, 0.00 v2.0.0
% 0.77/0.87 % Syntax : Number of clauses : 9 ( 5 unt; 0 nHn; 6 RR)
% 0.77/0.87 % Number of literals : 19 ( 0 equ; 11 neg)
% 0.77/0.87 % Maximal clause size : 4 ( 2 avg)
% 0.77/0.87 % Maximal term depth : 2 ( 1 avg)
% 0.77/0.87 % Number of predicates : 2 ( 2 usr; 0 prp; 2-3 aty)
% 0.77/0.87 % Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% 0.77/0.87 % Number of variables : 24 ( 0 sgn)
% 0.77/0.87 % SPC : CNF_UNS_RFO_NEQ_HRN
% 0.77/0.87
% 0.77/0.87 % Comments :
% 0.77/0.87 %--------------------------------------------------------------------------
% 0.77/0.87 %----Include Veroff's minimal axiom set
% 0.77/0.87 include('Axioms/GRP005-0.ax').
% 0.77/0.87 %--------------------------------------------------------------------------
% 0.77/0.87 cnf(a_equals_b,hypothesis,
% 0.77/0.87 equalish(a,b) ).
% 0.77/0.87
% 0.77/0.87 cnf(prove_multiply_substitution2,negated_conjecture,
% 0.77/0.87 ~ equalish(multiply(c,a),multiply(c,b)) ).
% 0.77/0.87
% 0.77/0.87 %--------------------------------------------------------------------------
% 0.77/0.87 %-------------------------------------------
% 0.77/0.87 % Proof found
% 0.77/0.87 % SZS status Theorem for theBenchmark
% 0.77/0.87 % SZS output start Proof
% 0.77/0.87 %ClaNum:9(EqnAxiom:0)
% 0.77/0.87 %VarNum:48(SingletonVarNum:24)
% 0.77/0.87 %MaxLitNum:4
% 0.77/0.87 %MaxfuncDepth:1
% 0.77/0.87 %SharedTerms:8
% 0.77/0.87 %goalClause: 5
% 0.77/0.87 %singleGoalClaCount:1
% 0.77/0.87 [1]P1(a1,a2)
% 0.77/0.87 [5]~P1(f6(a4,a1),f6(a4,a2))
% 0.77/0.87 [2]P2(a3,x21,x21)
% 0.77/0.87 [3]P2(f5(x31),x31,a3)
% 0.77/0.87 [4]P2(x41,x42,f6(x41,x42))
% 0.77/0.87 [6]~P2(x61,x62,x64)+P2(x61,x62,x63)+~P1(x64,x63)
% 0.77/0.87 [7]~P2(x73,x74,x71)+P1(x71,x72)+~P2(x73,x74,x72)
% 0.77/0.87 [8]~P2(x86,x84,x81)+P2(x81,x82,x83)+~P2(x84,x82,x85)+~P2(x86,x85,x83)
% 0.77/0.87 [9]~P2(x91,x96,x94)+P2(x91,x92,x93)+~P2(x94,x95,x93)+~P2(x96,x95,x92)
% 0.77/0.87 %EqnAxiom
% 0.77/0.87
% 0.77/0.87 %-------------------------------------------
% 0.77/0.88 cnf(11,plain,
% 0.77/0.88 (P2(a3,a1,a2)),
% 0.77/0.88 inference(scs_inference,[],[2,1,7,6])).
% 0.77/0.88 cnf(25,plain,
% 0.77/0.88 (P2(x251,x252,f6(x251,x252))),
% 0.77/0.88 inference(rename_variables,[],[4])).
% 0.77/0.88 cnf(26,plain,
% 0.77/0.88 (P2(x261,x262,f6(x261,x262))),
% 0.77/0.88 inference(rename_variables,[],[4])).
% 0.77/0.88 cnf(28,plain,
% 0.77/0.88 (~P2(a4,a1,f6(a4,a2))),
% 0.77/0.88 inference(scs_inference,[],[5,4,26,3,9,7])).
% 0.77/0.88 cnf(29,plain,
% 0.77/0.88 (P2(x291,x292,f6(x291,x292))),
% 0.77/0.88 inference(rename_variables,[],[4])).
% 0.77/0.88 cnf(31,plain,
% 0.77/0.88 (P2(f6(x311,x311),x311,f6(x311,f6(x311,x311)))),
% 0.77/0.88 inference(scs_inference,[],[5,4,26,29,25,3,9,7,8])).
% 0.77/0.88 cnf(37,plain,
% 0.82/0.88 (P2(a3,x371,x371)),
% 0.82/0.88 inference(rename_variables,[],[2])).
% 0.82/0.88 cnf(39,plain,
% 0.82/0.88 (~P1(f6(a4,a2),f6(a4,a1))),
% 0.82/0.88 inference(scs_inference,[],[2,37,5,7,6])).
% 0.82/0.88 cnf(40,plain,
% 0.82/0.88 (P2(a3,x401,x401)),
% 0.82/0.88 inference(rename_variables,[],[2])).
% 0.82/0.88 cnf(43,plain,
% 0.82/0.88 (P2(a3,x431,x431)),
% 0.82/0.88 inference(rename_variables,[],[2])).
% 0.82/0.88 cnf(45,plain,
% 0.82/0.88 (~P2(a3,f6(a4,a1),f6(a4,a2))),
% 0.82/0.88 inference(scs_inference,[],[2,37,40,43,4,28,5,7,6,9,8])).
% 0.82/0.88 cnf(49,plain,
% 0.82/0.88 (~P2(f6(a3,a3),f6(a4,a1),f6(a4,a2))),
% 0.82/0.88 inference(scs_inference,[],[2,4,45,9])).
% 0.82/0.88 cnf(59,plain,
% 0.82/0.88 (~P2(a4,a2,f6(a4,a1))),
% 0.82/0.88 inference(scs_inference,[],[4,39,7])).
% 0.82/0.88 cnf(60,plain,
% 0.82/0.88 (P2(x601,x602,f6(x601,x602))),
% 0.82/0.88 inference(rename_variables,[],[4])).
% 0.82/0.88 cnf(62,plain,
% 0.82/0.88 (~P2(a1,x621,x622)+P2(a3,x622,f6(a2,x621))),
% 0.82/0.88 inference(scs_inference,[],[11,4,60,39,7,9])).
% 0.82/0.88 cnf(63,plain,
% 0.82/0.88 (P2(x631,x632,f6(x631,x632))),
% 0.82/0.88 inference(rename_variables,[],[4])).
% 0.82/0.88 cnf(65,plain,
% 0.82/0.88 (P2(a2,x651,f6(a1,x651))),
% 0.82/0.88 inference(scs_inference,[],[2,11,4,60,63,39,7,9,8])).
% 0.82/0.88 cnf(70,plain,
% 0.82/0.88 (P2(a3,x701,x701)),
% 0.82/0.88 inference(rename_variables,[],[2])).
% 0.82/0.88 cnf(71,plain,
% 0.82/0.88 (P2(x711,x712,f6(x711,x712))),
% 0.82/0.88 inference(rename_variables,[],[4])).
% 0.82/0.88 cnf(76,plain,
% 0.82/0.88 (P2(x761,x762,f6(x761,x762))),
% 0.82/0.88 inference(rename_variables,[],[4])).
% 0.82/0.88 cnf(78,plain,
% 0.82/0.88 (P2(a3,f6(a1,x781),f6(a2,x781))),
% 0.82/0.88 inference(scs_inference,[],[2,70,11,4,71,76,31,8,9,62])).
% 0.82/0.88 cnf(84,plain,
% 0.82/0.88 (P2(x841,x842,f6(x841,x842))),
% 0.82/0.88 inference(rename_variables,[],[4])).
% 0.82/0.88 cnf(86,plain,
% 0.82/0.88 (~P2(a4,a2,f6(f6(a3,a3),f6(a4,a1)))),
% 0.82/0.88 inference(scs_inference,[],[4,84,49,6,7])).
% 0.82/0.88 cnf(87,plain,
% 0.82/0.88 (P2(x871,x872,f6(x871,x872))),
% 0.82/0.88 inference(rename_variables,[],[4])).
% 0.82/0.88 cnf(91,plain,
% 0.82/0.88 (P2(x911,x912,f6(x911,x912))),
% 0.82/0.88 inference(rename_variables,[],[4])).
% 0.82/0.88 cnf(93,plain,
% 0.82/0.88 (~P2(f6(a4,a3),a1,f6(a4,a1))),
% 0.82/0.88 inference(scs_inference,[],[3,11,4,84,87,91,49,59,65,6,7,8,9])).
% 0.82/0.88 cnf(98,plain,
% 0.82/0.88 (P2(x981,x982,f6(x981,x982))),
% 0.82/0.88 inference(rename_variables,[],[4])).
% 0.82/0.88 cnf(100,plain,
% 0.82/0.88 (P1(f6(a2,x1001),f6(a1,x1001))),
% 0.82/0.88 inference(scs_inference,[],[4,98,86,65,2,8,7])).
% 0.82/0.88 cnf(331,plain,
% 0.82/0.88 (P2(f6(a1,a2),a2,f6(a2,f6(a1,a2)))),
% 0.82/0.88 inference(scs_inference,[],[65,4,8])).
% 0.82/0.88 cnf(373,plain,
% 0.82/0.88 (P2(f6(a2,a2),a2,f6(a2,f6(a1,a2)))),
% 0.82/0.88 inference(scs_inference,[],[78,331,2,8])).
% 0.82/0.88 cnf(501,plain,
% 0.82/0.88 (~P2(a4,a3,f6(a4,a3))),
% 0.82/0.88 inference(scs_inference,[],[100,93,373,4,2,6,8])).
% 0.82/0.88 cnf(511,plain,
% 0.82/0.88 ($false),
% 0.82/0.88 inference(scs_inference,[],[501,4]),
% 0.82/0.88 ['proof']).
% 0.82/0.88 % SZS output end Proof
% 0.82/0.88 % Total time :0.270000s
%------------------------------------------------------------------------------