TSTP Solution File: GRP028-4 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GRP028-4 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n013.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 00:10:39 EDT 2023
% Result : Unsatisfiable 0.18s 0.60s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP028-4 : TPTP v8.1.2. Released v2.6.0.
% 0.06/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.33 % Computer : n013.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 : Mon Aug 28 21:22:01 EDT 2023
% 0.13/0.33 % CPUTime :
% 0.18/0.55 start to proof:theBenchmark
% 0.18/0.59 %-------------------------------------------
% 0.18/0.59 % File :CSE---1.6
% 0.18/0.59 % Problem :theBenchmark
% 0.18/0.59 % Transform :cnf
% 0.18/0.59 % Format :tptp:raw
% 0.18/0.59 % Command :java -jar mcs_scs.jar %d %s
% 0.18/0.59
% 0.18/0.59 % Result :Theorem 0.000000s
% 0.18/0.59 % Output :CNFRefutation 0.000000s
% 0.18/0.59 %-------------------------------------------
% 0.18/0.60 %--------------------------------------------------------------------------
% 0.18/0.60 % File : GRP028-4 : TPTP v8.1.2. Released v2.6.0.
% 0.18/0.60 % Domain : Group Theory (Semigroups)
% 0.18/0.60 % Problem : In semigroups, left and right solutions => right id exists
% 0.18/0.60 % Version : [CL73] axioms.
% 0.18/0.60 % English : If there are left and right solutions, then there is a right
% 0.18/0.60 % identity element.
% 0.18/0.60
% 0.18/0.60 % Refs : [Cha70] Chang (1970), The Unit Proof and the Input Proof in Th
% 0.18/0.60 % : [CL73] Chang & Lee (1973), Symbolic Logic and Mechanical Theo
% 0.18/0.60 % Source : [CL73]
% 0.18/0.60 % Names : Example 1 [CL73]
% 0.18/0.60
% 0.18/0.60 % Status : Unsatisfiable
% 0.18/0.60 % Rating : 0.00 v5.4.0, 0.06 v5.3.0, 0.10 v5.2.0, 0.00 v2.6.0
% 0.18/0.60 % Syntax : Number of clauses : 5 ( 3 unt; 0 nHn; 3 RR)
% 0.18/0.60 % Number of literals : 11 ( 0 equ; 7 neg)
% 0.18/0.60 % Maximal clause size : 4 ( 2 avg)
% 0.18/0.60 % Maximal term depth : 2 ( 1 avg)
% 0.18/0.60 % Number of predicates : 1 ( 1 usr; 0 prp; 3-3 aty)
% 0.18/0.60 % Number of functors : 3 ( 3 usr; 0 con; 1-2 aty)
% 0.18/0.60 % Number of variables : 17 ( 0 sgn)
% 0.18/0.60 % SPC : CNF_UNS_RFO_NEQ_HRN
% 0.18/0.60
% 0.18/0.60 % Comments :
% 0.18/0.60 %--------------------------------------------------------------------------
% 0.18/0.60 cnf(associativity1,axiom,
% 0.18/0.60 ( ~ product(X,Y,U)
% 0.18/0.60 | ~ product(Y,Z,V)
% 0.18/0.60 | ~ product(X,V,W)
% 0.18/0.60 | product(U,Z,W) ) ).
% 0.18/0.60
% 0.18/0.60 cnf(associativity2,axiom,
% 0.18/0.60 ( ~ product(X,Y,U)
% 0.18/0.60 | ~ product(Y,Z,V)
% 0.18/0.60 | ~ product(U,Z,W)
% 0.18/0.60 | product(X,V,W) ) ).
% 0.18/0.60
% 0.18/0.60 cnf(left_soln,hypothesis,
% 0.18/0.60 product(left_solution(X,Y),X,Y) ).
% 0.18/0.60
% 0.18/0.60 cnf(right_soln,hypothesis,
% 0.18/0.60 product(X,right_solution(X,Y),Y) ).
% 0.18/0.60
% 0.18/0.60 %----There is an element for which no X is identity
% 0.18/0.60 cnf(prove_there_is_a_right_identity,negated_conjecture,
% 0.18/0.60 ~ product(not_identity(X),X,not_identity(X)) ).
% 0.18/0.60
% 0.18/0.60 %--------------------------------------------------------------------------
% 0.18/0.60 %-------------------------------------------
% 0.18/0.60 % Proof found
% 0.18/0.60 % SZS status Theorem for theBenchmark
% 0.18/0.60 % SZS output start Proof
% 0.18/0.60 %ClaNum:5(EqnAxiom:0)
% 0.18/0.60 %VarNum:35(SingletonVarNum:17)
% 0.18/0.60 %MaxLitNum:4
% 0.18/0.60 %MaxfuncDepth:1
% 0.18/0.60 %SharedTerms:0
% 0.18/0.60 %goalClause: 3
% 0.18/0.60 %singleGoalClaCount:1
% 0.18/0.60 [3]~P1(f3(x31),x31,f3(x31))
% 0.18/0.60 [1]P1(x11,f1(x11,x12),x12)
% 0.18/0.60 [2]P1(f2(x21,x22),x21,x22)
% 0.18/0.60 [4]~P1(x46,x44,x41)+P1(x41,x42,x43)+~P1(x44,x42,x45)+~P1(x46,x45,x43)
% 0.18/0.60 [5]~P1(x51,x56,x54)+P1(x51,x52,x53)+~P1(x54,x55,x53)+~P1(x56,x55,x52)
% 0.18/0.60 %EqnAxiom
% 0.18/0.60
% 0.18/0.60 %-------------------------------------------
% 0.18/0.60 cnf(14,plain,
% 0.18/0.60 ($false),
% 0.18/0.60 inference(scs_inference,[],[3,2,1,4]),
% 0.18/0.60 ['proof']).
% 0.18/0.60 % SZS output end Proof
% 0.18/0.60 % Total time :0.000000s
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