TSTP Solution File: GRP044-2 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GRP044-2 : 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 : n019.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 0.20s 0.62s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP044-2 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.12/0.34 % Computer : n019.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 29 00:13:43 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.20/0.57 start to proof:theBenchmark
% 0.20/0.62 %-------------------------------------------
% 0.20/0.62 % File :CSE---1.6
% 0.20/0.62 % Problem :theBenchmark
% 0.20/0.62 % Transform :cnf
% 0.20/0.62 % Format :tptp:raw
% 0.20/0.62 % Command :java -jar mcs_scs.jar %d %s
% 0.20/0.62
% 0.20/0.62 % Result :Theorem 0.000000s
% 0.20/0.62 % Output :CNFRefutation 0.000000s
% 0.20/0.62 %-------------------------------------------
% 0.20/0.62 %--------------------------------------------------------------------------
% 0.20/0.62 % File : GRP044-2 : TPTP v8.1.2. Released v1.0.0.
% 0.20/0.62 % Domain : Group Theory
% 0.20/0.62 % Problem : Product subsitution 1 is dependent
% 0.20/0.62 % Version : [Ver92] axioms.
% 0.20/0.62 % English :
% 0.20/0.62
% 0.20/0.62 % Refs : [Ver92] Veroff (1992), Email to G. Sutcliffe
% 0.20/0.62 % Source : [Ver92]
% 0.20/0.62 % Names : - [Ver92]
% 0.20/0.62
% 0.20/0.62 % Status : Unsatisfiable
% 0.20/0.62 % Rating : 0.00 v7.4.0, 0.17 v7.3.0, 0.00 v5.4.0, 0.06 v5.3.0, 0.10 v5.2.0, 0.08 v5.1.0, 0.06 v5.0.0, 0.00 v2.1.0, 0.00 v2.0.0
% 0.20/0.62 % Syntax : Number of clauses : 10 ( 6 unt; 0 nHn; 7 RR)
% 0.20/0.62 % Number of literals : 20 ( 0 equ; 11 neg)
% 0.20/0.62 % Maximal clause size : 4 ( 2 avg)
% 0.20/0.62 % Maximal term depth : 2 ( 1 avg)
% 0.20/0.62 % Number of predicates : 2 ( 2 usr; 0 prp; 2-3 aty)
% 0.20/0.62 % Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% 0.20/0.62 % Number of variables : 24 ( 0 sgn)
% 0.20/0.62 % SPC : CNF_UNS_RFO_NEQ_HRN
% 0.20/0.62
% 0.20/0.62 % Comments :
% 0.20/0.62 %--------------------------------------------------------------------------
% 0.20/0.62 %----Include Veroff's minimal axiom set
% 0.20/0.62 include('Axioms/GRP005-0.ax').
% 0.20/0.62 %--------------------------------------------------------------------------
% 0.20/0.62 cnf(a_equals_b,hypothesis,
% 0.20/0.62 equalish(a,b) ).
% 0.20/0.62
% 0.20/0.62 cnf(product_with_a,hypothesis,
% 0.20/0.62 product(a,c,result) ).
% 0.20/0.62
% 0.20/0.62 cnf(prove_product_with_b,negated_conjecture,
% 0.20/0.62 ~ product(b,c,result) ).
% 0.20/0.62
% 0.20/0.62 %--------------------------------------------------------------------------
% 0.20/0.62 %-------------------------------------------
% 0.20/0.62 % Proof found
% 0.20/0.62 % SZS status Theorem for theBenchmark
% 0.20/0.62 % SZS output start Proof
% 0.20/0.63 %ClaNum:10(EqnAxiom:0)
% 0.20/0.63 %VarNum:48(SingletonVarNum:24)
% 0.20/0.63 %MaxLitNum:4
% 0.20/0.63 %MaxfuncDepth:1
% 0.20/0.63 %SharedTerms:8
% 0.20/0.63 %goalClause: 6
% 0.20/0.63 %singleGoalClaCount:1
% 0.20/0.63 [1]P1(a1,a2)
% 0.20/0.63 [2]P2(a1,a3,a4)
% 0.20/0.63 [6]~P2(a2,a3,a4)
% 0.20/0.63 [3]P2(a5,x31,x31)
% 0.20/0.63 [4]P2(f6(x41),x41,a5)
% 0.20/0.63 [5]P2(x51,x52,f7(x51,x52))
% 0.20/0.63 [7]~P2(x71,x72,x74)+P2(x71,x72,x73)+~P1(x74,x73)
% 0.20/0.63 [8]~P2(x83,x84,x81)+P1(x81,x82)+~P2(x83,x84,x82)
% 0.20/0.63 [9]~P2(x96,x94,x91)+P2(x91,x92,x93)+~P2(x94,x92,x95)+~P2(x96,x95,x93)
% 0.20/0.63 [10]~P2(x101,x106,x104)+P2(x101,x102,x103)+~P2(x104,x105,x103)+~P2(x106,x105,x102)
% 0.20/0.63 %EqnAxiom
% 0.20/0.63
% 0.20/0.63 %-------------------------------------------
% 0.20/0.63 cnf(12,plain,
% 0.20/0.63 (P2(a5,a1,a2)),
% 0.20/0.63 inference(scs_inference,[],[3,1,8,7])).
% 0.20/0.63 cnf(13,plain,
% 0.20/0.63 (P2(a5,f7(a1,a3),a4)),
% 0.20/0.63 inference(scs_inference,[],[3,1,2,5,8,7,10])).
% 0.20/0.63 cnf(22,plain,
% 0.20/0.63 (P2(x221,x222,f7(x221,x222))),
% 0.20/0.63 inference(rename_variables,[],[5])).
% 0.20/0.63 cnf(24,plain,
% 0.20/0.63 (~P1(f7(a2,a3),a4)),
% 0.20/0.63 inference(scs_inference,[],[6,2,5,22,8,7])).
% 0.20/0.63 cnf(25,plain,
% 0.20/0.63 (P2(x251,x252,f7(x251,x252))),
% 0.20/0.63 inference(rename_variables,[],[5])).
% 0.20/0.63 cnf(27,plain,
% 0.20/0.63 (~P2(f7(a2,a5),a3,a4)),
% 0.20/0.63 inference(scs_inference,[],[6,2,5,22,25,3,8,7,10])).
% 0.20/0.63 cnf(40,plain,
% 0.20/0.63 (~P2(a5,a1,f7(a2,a5))),
% 0.20/0.63 inference(scs_inference,[],[5,2,3,24,13,27,8,10,9])).
% 0.20/0.63 cnf(68,plain,
% 0.20/0.63 ($false),
% 0.20/0.63 inference(scs_inference,[],[2,12,5,3,40,6,10,9]),
% 0.20/0.63 ['proof']).
% 0.20/0.63 % SZS output end Proof
% 0.20/0.63 % Total time :0.000000s
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