TSTP Solution File: GRP005-1 by CSE---1.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GRP005-1 : 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 : n014.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 0.61s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP005-1 : 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
% 0.13/0.34 % Computer : n014.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 21:05:15 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
% 0.19/0.61 % Output :CNFRefutation 0.000000s
% 0.19/0.61 %-------------------------------------------
% 0.19/0.61 %--------------------------------------------------------------------------
% 0.19/0.61 % File : GRP005-1 : TPTP v8.1.2. Released v1.0.0.
% 0.19/0.61 % Domain : Group Theory
% 0.19/0.61 % Problem : Identity is in this subset of a group
% 0.19/0.61 % Version : [Cha70] axioms : Incomplete.
% 0.19/0.61 % English : If S is a non-empty subset of a group such that
% 0.19/0.61 % if X, Y belong to S, the XY^-1 belongs to S, then the
% 0.19/0.61 % identity e belongs to S.
% 0.19/0.61
% 0.19/0.61 % Refs : [Luc68] Luckham (1968), Some Tree-paring Strategies for Theore
% 0.19/0.61 % : [Cha70] Chang (1970), The Unit Proof and the Input Proof in Th
% 0.19/0.61 % : [CL73] Chang & Lee (1973), Symbolic Logic and Mechanical Theo
% 0.19/0.61 % Source : [Cha70]
% 0.19/0.61 % Names : Example 5 [Luc68]
% 0.19/0.61 % : Example 5 [Cha70]
% 0.19/0.61 % : Example 5 [CL73]
% 0.19/0.61 % : EX5 [SPRFN]
% 0.19/0.61
% 0.19/0.61 % Status : Unsatisfiable
% 0.19/0.61 % 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
% 0.19/0.61 % Syntax : Number of clauses : 9 ( 6 unt; 0 nHn; 5 RR)
% 0.19/0.61 % Number of literals : 18 ( 0 equ; 10 neg)
% 0.19/0.61 % Maximal clause size : 4 ( 2 avg)
% 0.19/0.61 % Maximal term depth : 2 ( 1 avg)
% 0.19/0.61 % Number of predicates : 2 ( 2 usr; 0 prp; 1-3 aty)
% 0.19/0.61 % Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% 0.19/0.61 % Number of variables : 19 ( 0 sgn)
% 0.19/0.61 % SPC : CNF_UNS_RFO_NEQ_HRN
% 0.19/0.61
% 0.19/0.61 % Comments :
% 0.19/0.61 %--------------------------------------------------------------------------
% 0.19/0.61 cnf(left_identity,axiom,
% 0.19/0.61 product(identity,X,X) ).
% 0.19/0.61
% 0.19/0.61 cnf(right_identity,axiom,
% 0.19/0.61 product(X,identity,X) ).
% 0.19/0.61
% 0.19/0.61 cnf(right_inverse,axiom,
% 0.19/0.61 product(X,inverse(X),identity) ).
% 0.19/0.61
% 0.19/0.61 cnf(left_inverse,axiom,
% 0.19/0.61 product(inverse(X),X,identity) ).
% 0.19/0.61
% 0.19/0.61 cnf(element_of_set,axiom,
% 0.19/0.61 an_element(a) ).
% 0.19/0.61
% 0.19/0.61 cnf(condition,axiom,
% 0.19/0.61 ( ~ an_element(X)
% 0.19/0.61 | ~ an_element(Y)
% 0.19/0.61 | ~ product(X,inverse(Y),Z)
% 0.19/0.61 | an_element(Z) ) ).
% 0.19/0.61
% 0.19/0.61 cnf(associativity1,axiom,
% 0.19/0.61 ( ~ product(X,Y,U)
% 0.19/0.61 | ~ product(Y,Z,V)
% 0.19/0.61 | ~ product(U,Z,W)
% 0.19/0.61 | product(X,V,W) ) ).
% 0.19/0.61
% 0.19/0.61 cnf(associativity2,axiom,
% 0.19/0.61 ( ~ product(X,Y,U)
% 0.19/0.61 | ~ product(Y,Z,V)
% 0.19/0.61 | ~ product(X,V,W)
% 0.19/0.61 | product(U,Z,W) ) ).
% 0.19/0.61
% 0.19/0.61 cnf(prove_identity_is_an_element,negated_conjecture,
% 0.19/0.61 ~ an_element(identity) ).
% 0.19/0.61
% 0.19/0.61 %--------------------------------------------------------------------------
% 0.19/0.61 %-------------------------------------------
% 0.19/0.61 % Proof found
% 0.19/0.61 % SZS status Theorem for theBenchmark
% 0.19/0.61 % SZS output start Proof
% 0.19/0.61 %ClaNum:9(EqnAxiom:0)
% 0.19/0.61 %VarNum:38(SingletonVarNum:19)
% 0.19/0.61 %MaxLitNum:4
% 0.19/0.61 %MaxfuncDepth:1
% 0.19/0.61 %SharedTerms:4
% 0.19/0.61 %goalClause: 6
% 0.19/0.61 %singleGoalClaCount:1
% 0.19/0.61 [1]P1(a1)
% 0.19/0.61 [6]~P1(a2)
% 0.19/0.61 [2]P2(x21,a2,x21)
% 0.19/0.61 [3]P2(a2,x31,x31)
% 0.19/0.61 [4]P2(x41,f3(x41),a2)
% 0.19/0.61 [5]P2(f3(x51),x51,a2)
% 0.19/0.61 [7]P1(x71)+~P1(x72)+~P1(x73)+~P2(x73,f3(x72),x71)
% 0.19/0.61 [8]~P2(x86,x84,x81)+P2(x81,x82,x83)+~P2(x84,x82,x85)+~P2(x86,x85,x83)
% 0.19/0.61 [9]~P2(x91,x96,x94)+P2(x91,x92,x93)+~P2(x94,x95,x93)+~P2(x96,x95,x92)
% 0.19/0.61 %EqnAxiom
% 0.19/0.61
% 0.19/0.61 %-------------------------------------------
% 0.19/0.62 cnf(10,plain,
% 0.19/0.62 ($false),
% 0.19/0.62 inference(scs_inference,[],[6,1,4,7]),
% 0.19/0.62 ['proof']).
% 0.19/0.62 % SZS output end Proof
% 0.19/0.62 % Total time :0.000000s
%------------------------------------------------------------------------------