TSTP Solution File: GRP003-1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GRP003-1 : 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 : n027.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 00:10:31 EDT 2023
% Result : Unsatisfiable 0.19s 0.62s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP003-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n027.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 : Tue Aug 29 00:47:37 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.56 start to proof:theBenchmark
% 0.19/0.61 %-------------------------------------------
% 0.19/0.61 % File :CSE---1.6
% 0.19/0.61 % Problem :theBenchmark
% 0.19/0.61 % Transform :cnf
% 0.19/0.61 % Format :tptp:raw
% 0.19/0.61 % Command :java -jar mcs_scs.jar %d %s
% 0.19/0.61
% 0.19/0.61 % Result :Theorem 0.000000s
% 0.19/0.62 % Output :CNFRefutation 0.000000s
% 0.19/0.62 %-------------------------------------------
% 0.19/0.62 %--------------------------------------------------------------------------
% 0.19/0.62 % File : GRP003-1 : TPTP v8.1.2. Released v1.0.0.
% 0.19/0.62 % Domain : Group Theory
% 0.19/0.62 % Problem : The left identity is also a right identity
% 0.19/0.62 % Version : [Cha70] axioms : Incomplete.
% 0.19/0.62 % English :
% 0.19/0.62
% 0.19/0.62 % Refs : [Luc68] Luckham (1968), Some Tree-paring Strategies for Theore
% 0.19/0.62 % : [Cha70] Chang (1970), The Unit Proof and the Input Proof in Th
% 0.19/0.62 % : [CL73] Chang & Lee (1973), Symbolic Logic and Mechanical Theo
% 0.19/0.62 % Source : [Cha70]
% 0.19/0.62 % Names : Example 2 [Luc68]
% 0.19/0.62 % : Example 3 [Cha70]
% 0.19/0.62 % : Example 3 [CL73]
% 0.19/0.62 % : EX3 [SPRFN]
% 0.19/0.62
% 0.19/0.62 % Status : Unsatisfiable
% 0.19/0.62 % Rating : 0.00 v5.4.0, 0.06 v5.3.0, 0.10 v5.2.0, 0.00 v2.1.0, 0.00 v2.0.0
% 0.19/0.62 % Syntax : Number of clauses : 5 ( 3 unt; 0 nHn; 3 RR)
% 0.19/0.62 % Number of literals : 11 ( 0 equ; 7 neg)
% 0.19/0.62 % Maximal clause size : 4 ( 2 avg)
% 0.19/0.62 % Maximal term depth : 2 ( 1 avg)
% 0.19/0.62 % Number of predicates : 1 ( 1 usr; 0 prp; 3-3 aty)
% 0.19/0.62 % Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% 0.19/0.62 % Number of variables : 14 ( 0 sgn)
% 0.19/0.62 % SPC : CNF_UNS_RFO_NEQ_HRN
% 0.19/0.62
% 0.19/0.62 % Comments :
% 0.19/0.62 %--------------------------------------------------------------------------
% 0.19/0.62 cnf(left_inverse,axiom,
% 0.19/0.62 product(inverse(X),X,identity) ).
% 0.19/0.62
% 0.19/0.62 cnf(left_identity,axiom,
% 0.19/0.62 product(identity,X,X) ).
% 0.19/0.62
% 0.19/0.62 cnf(associativity1,axiom,
% 0.19/0.62 ( ~ product(X,Y,U)
% 0.19/0.62 | ~ product(Y,Z,V)
% 0.19/0.62 | ~ product(U,Z,W)
% 0.19/0.62 | product(X,V,W) ) ).
% 0.19/0.62
% 0.19/0.62 cnf(associativity2,axiom,
% 0.19/0.62 ( ~ product(X,Y,U)
% 0.19/0.62 | ~ product(Y,Z,V)
% 0.19/0.62 | ~ product(X,V,W)
% 0.19/0.62 | product(U,Z,W) ) ).
% 0.19/0.62
% 0.19/0.62 cnf(prove_there_is_a_right_identity,negated_conjecture,
% 0.19/0.62 ~ product(a,identity,a) ).
% 0.19/0.62
% 0.19/0.62 %--------------------------------------------------------------------------
% 0.19/0.62 %-------------------------------------------
% 0.19/0.62 % Proof found
% 0.19/0.62 % SZS status Theorem for theBenchmark
% 0.19/0.62 % SZS output start Proof
% 0.19/0.62 %ClaNum:5(EqnAxiom:0)
% 0.19/0.62 %VarNum:28(SingletonVarNum:14)
% 0.19/0.62 %MaxLitNum:4
% 0.19/0.62 %MaxfuncDepth:1
% 0.19/0.62 %SharedTerms:3
% 0.19/0.62 %goalClause: 3
% 0.19/0.62 %singleGoalClaCount:1
% 0.19/0.62 [3]~P1(a2,a1,a2)
% 0.19/0.62 [1]P1(a1,x11,x11)
% 0.19/0.62 [2]P1(f3(x21),x21,a1)
% 0.19/0.62 [4]~P1(x46,x44,x41)+P1(x41,x42,x43)+~P1(x44,x42,x45)+~P1(x46,x45,x43)
% 0.19/0.62 [5]~P1(x51,x56,x54)+P1(x51,x52,x53)+~P1(x54,x55,x53)+~P1(x56,x55,x52)
% 0.19/0.62 %EqnAxiom
% 0.19/0.62
% 0.19/0.62 %-------------------------------------------
% 0.19/0.63 cnf(8,plain,
% 0.19/0.63 (~P1(x81,a1,a2)),
% 0.19/0.63 inference(scs_inference,[],[3,1,2,5,4])).
% 0.19/0.63 cnf(12,plain,
% 0.19/0.63 (P1(a1,x121,x121)),
% 0.19/0.63 inference(rename_variables,[],[1])).
% 0.19/0.63 cnf(13,plain,
% 0.19/0.63 (P1(f3(x131),x131,a1)),
% 0.19/0.63 inference(rename_variables,[],[2])).
% 0.19/0.63 cnf(15,plain,
% 0.19/0.63 (~P1(a1,f3(f3(a2)),x151)),
% 0.19/0.63 inference(scs_inference,[],[1,12,2,13,8,5,4])).
% 0.19/0.63 cnf(19,plain,
% 0.19/0.63 ($false),
% 0.19/0.63 inference(scs_inference,[],[15,1]),
% 0.19/0.63 ['proof']).
% 0.19/0.63 % SZS output end Proof
% 0.19/0.63 % Total time :0.000000s
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