%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : GRP045-2 : TPTP v8.2.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n029.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 : Mon Jun 24 06:38:37 EDT 2024
% Result : Unsatisfiable 7.09s 7.19s
% Output : CNFRefutation 7.09s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GRP045-2 : TPTP v8.2.0. Released v1.0.0.
% 0.10/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33 % Computer : n029.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Thu Jun 20 12:32:24 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.20/0.58 start to proof:theBenchmark
% 7.09/7.18 %-------------------------------------------
% 7.09/7.18 % File :CSE---1.7
% 7.09/7.18 % Problem :theBenchmark
% 7.09/7.18 % Transform :cnf
% 7.09/7.18 % Format :tptp:raw
% 7.09/7.18 % Command :java -jar mcs_scs.jar %d %s
% 7.09/7.18
% 7.09/7.18 % Result :Theorem 6.560000s
% 7.09/7.18 % Output :CNFRefutation 6.560000s
% 7.09/7.18 %-------------------------------------------
% 7.09/7.19 %--------------------------------------------------------------------------
% 7.09/7.19 % File : GRP045-2 : TPTP v8.2.0. Released v1.0.0.
% 7.09/7.19 % Domain : Group Theory
% 7.09/7.19 % Problem : Product subsitution 2 is dependent
% 7.09/7.19 % Version : [Ver92] axioms.
% 7.09/7.19 % English :
% 7.09/7.19
% 7.09/7.19 % Refs : [Ver92] Veroff (1992), Email to G. Sutcliffe
% 7.09/7.19 % Source : [Ver92]
% 7.09/7.19 % Names : - [Ver92]
% 7.09/7.19
% 7.09/7.19 % Status : Unsatisfiable
% 7.09/7.19 % 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 v2.1.0, 0.00 v2.0.0
% 7.09/7.19 % Syntax : Number of clauses : 10 ( 6 unt; 0 nHn; 7 RR)
% 7.09/7.19 % Number of literals : 20 ( 0 equ; 11 neg)
% 7.09/7.19 % Maximal clause size : 4 ( 2 avg)
% 7.09/7.19 % Maximal term depth : 2 ( 1 avg)
% 7.09/7.19 % Number of predicates : 2 ( 2 usr; 0 prp; 2-3 aty)
% 7.09/7.19 % Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% 7.09/7.19 % Number of variables : 24 ( 0 sgn)
% 7.09/7.19 % SPC : CNF_UNS_RFO_NEQ_HRN
% 7.09/7.19
% 7.09/7.19 % Comments :
% 7.09/7.19 %--------------------------------------------------------------------------
% 7.09/7.19 %----Include Veroff's minimal axiom set
% 7.09/7.19 include('Axioms/GRP005-0.ax').
% 7.09/7.19 %--------------------------------------------------------------------------
% 7.09/7.19 cnf(a_equals_b,hypothesis,
% 7.09/7.19 equalish(a,b) ).
% 7.09/7.19
% 7.09/7.19 cnf(product_with_a,hypothesis,
% 7.09/7.19 product(c,a,result) ).
% 7.09/7.19
% 7.09/7.19 cnf(prove_product_with_b,negated_conjecture,
% 7.09/7.19 ~ product(c,b,result) ).
% 7.09/7.19
% 7.09/7.19 %--------------------------------------------------------------------------
% 7.09/7.19 %-------------------------------------------
% 7.09/7.19 % Proof found
% 7.09/7.19 % SZS status Theorem for theBenchmark
% 7.09/7.19 % SZS output start Proof
% 7.09/7.19 %ClaNum:10(EqnAxiom:0)
% 7.09/7.19 %VarNum:48(SingletonVarNum:24)
% 7.09/7.19 %MaxLitNum:4
% 7.09/7.19 %MaxfuncDepth:1
% 7.09/7.19 %SharedTerms:8
% 7.09/7.19 %goalClause: 6
% 7.09/7.19 %singleGoalClaCount:1
% 7.09/7.19 [1]P1(a1,a2)
% 7.09/7.19 [2]P2(a3,a1,a4)
% 7.09/7.19 [6]~P2(a3,a2,a4)
% 7.09/7.19 [3]P2(a5,x31,x31)
% 7.09/7.19 [4]P2(f6(x41),x41,a5)
% 7.09/7.19 [5]P2(x51,x52,f7(x51,x52))
% 7.09/7.19 [7]~P2(x71,x72,x74)+P2(x71,x72,x73)+~P1(x74,x73)
% 7.09/7.19 [8]~P2(x83,x84,x81)+P1(x81,x82)+~P2(x83,x84,x82)
% 7.09/7.19 [9]~P2(x96,x94,x91)+P2(x91,x92,x93)+~P2(x94,x92,x95)+~P2(x96,x95,x93)
% 7.09/7.19 [10]~P2(x101,x106,x104)+P2(x101,x102,x103)+~P2(x104,x105,x103)+~P2(x106,x105,x102)
% 7.09/7.19 %EqnAxiom
% 7.09/7.19
% 7.09/7.19 %-------------------------------------------
% 7.09/7.20 cnf(11,plain,
% 7.09/7.20 (P2(a5,a1,a2)),
% 7.09/7.20 inference(scs_inference,[],[3,1,7])).
% 7.09/7.20 cnf(163,plain,
% 7.09/7.20 (~P2(f7(a3,a5),a1,a4)),
% 7.09/7.20 inference(scs_inference,[],[6,11,5,10])).
% 7.09/7.20 cnf(1179,plain,
% 7.09/7.20 ($false),
% 7.09/7.20 inference(scs_inference,[],[163,3,2,5,9]),
% 7.09/7.20 ['proof']).
% 7.09/7.20 % SZS output end Proof
% 7.09/7.20 % Total time :6.560000s
%------------------------------------------------------------------------------