TSTP Solution File: GRP533-1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GRP533-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n032.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 00:12:21 EDT 2023
% Result : Unsatisfiable 0.11s 0.53s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.08 % Problem : GRP533-1 : TPTP v8.1.2. Released v2.6.0.
% 0.07/0.08 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.07/0.27 % Computer : n032.cluster.edu
% 0.07/0.27 % Model : x86_64 x86_64
% 0.07/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.27 % Memory : 8042.1875MB
% 0.07/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.27 % CPULimit : 300
% 0.07/0.27 % WCLimit : 300
% 0.07/0.27 % DateTime : Tue Aug 29 00:39:31 EDT 2023
% 0.07/0.27 % CPUTime :
% 0.11/0.46 start to proof:theBenchmark
% 0.11/0.53 %-------------------------------------------
% 0.11/0.53 % File :CSE---1.6
% 0.11/0.53 % Problem :theBenchmark
% 0.11/0.53 % Transform :cnf
% 0.11/0.53 % Format :tptp:raw
% 0.11/0.53 % Command :java -jar mcs_scs.jar %d %s
% 0.11/0.53
% 0.11/0.53 % Result :Theorem 0.030000s
% 0.11/0.53 % Output :CNFRefutation 0.030000s
% 0.11/0.53 %-------------------------------------------
% 0.11/0.53 %--------------------------------------------------------------------------
% 0.11/0.53 % File : GRP533-1 : TPTP v8.1.2. Released v2.6.0.
% 0.11/0.53 % Domain : Group Theory (Abelian)
% 0.11/0.53 % Problem : Axiom for Abelian group theory, in division, part 1
% 0.11/0.53 % Version : [McC93] (equality) axioms.
% 0.11/0.53 % English :
% 0.11/0.53
% 0.11/0.53 % Refs : [McC93] McCune (1993), Single Axioms for Groups and Abelian Gr
% 0.11/0.53 % Source : [TPTP]
% 0.11/0.53 % Names :
% 0.11/0.53
% 0.11/0.53 % Status : Unsatisfiable
% 0.11/0.53 % Rating : 0.00 v7.4.0, 0.04 v7.3.0, 0.00 v6.0.0, 0.05 v5.5.0, 0.00 v2.6.0
% 0.11/0.53 % Syntax : Number of clauses : 5 ( 5 unt; 0 nHn; 1 RR)
% 0.11/0.53 % Number of literals : 5 ( 5 equ; 1 neg)
% 0.11/0.53 % Maximal clause size : 1 ( 1 avg)
% 0.11/0.53 % Maximal term depth : 5 ( 2 avg)
% 0.11/0.53 % Number of predicates : 1 ( 0 usr; 0 prp; 2-2 aty)
% 0.11/0.53 % Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% 0.11/0.53 % Number of variables : 9 ( 0 sgn)
% 0.11/0.53 % SPC : CNF_UNS_RFO_PEQ_UEQ
% 0.11/0.53
% 0.11/0.53 % Comments : A UEQ part of GRP091-1
% 0.11/0.53 %--------------------------------------------------------------------------
% 0.11/0.53 cnf(single_axiom,axiom,
% 0.11/0.53 divide(divide(A,divide(divide(A,B),C)),B) = C ).
% 0.11/0.53
% 0.11/0.53 cnf(multiply,axiom,
% 0.11/0.53 multiply(A,B) = divide(A,divide(divide(C,C),B)) ).
% 0.11/0.53
% 0.11/0.53 cnf(inverse,axiom,
% 0.11/0.53 inverse(A) = divide(divide(B,B),A) ).
% 0.11/0.53
% 0.11/0.53 cnf(identity,axiom,
% 0.11/0.53 identity = divide(A,A) ).
% 0.11/0.53
% 0.11/0.53 cnf(prove_these_axioms_1,negated_conjecture,
% 0.11/0.53 multiply(inverse(a1),a1) != multiply(inverse(b1),b1) ).
% 0.11/0.53
% 0.11/0.53 %--------------------------------------------------------------------------
% 0.11/0.53 %-------------------------------------------
% 0.11/0.53 % Proof found
% 0.11/0.53 % SZS status Theorem for theBenchmark
% 0.11/0.53 % SZS output start Proof
% 0.11/0.53 %ClaNum:13(EqnAxiom:8)
% 0.11/0.53 %VarNum:18(SingletonVarNum:9)
% 0.11/0.53 %MaxLitNum:1
% 0.11/0.53 %MaxfuncDepth:4
% 0.11/0.53 %SharedTerms:8
% 0.11/0.53 %goalClause: 13
% 0.11/0.53 %singleGoalClaCount:1
% 0.11/0.53 [13]~E(f6(f5(a2),a2),f6(f5(a3),a3))
% 0.11/0.53 [9]E(f1(x91,x91),a4)
% 0.11/0.53 [10]E(f1(f1(x101,x101),x102),f5(x102))
% 0.11/0.53 [11]E(f1(x111,f1(f1(x112,x112),x113)),f6(x111,x113))
% 0.11/0.53 [12]E(f1(f1(x121,f1(f1(x121,x122),x123)),x122),x123)
% 0.11/0.53 %EqnAxiom
% 0.11/0.53 [1]E(x11,x11)
% 0.11/0.53 [2]E(x22,x21)+~E(x21,x22)
% 0.11/0.53 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.11/0.53 [4]~E(x41,x42)+E(f1(x41,x43),f1(x42,x43))
% 0.11/0.53 [5]~E(x51,x52)+E(f1(x53,x51),f1(x53,x52))
% 0.11/0.53 [6]~E(x61,x62)+E(f6(x61,x63),f6(x62,x63))
% 0.11/0.53 [7]~E(x71,x72)+E(f6(x73,x71),f6(x73,x72))
% 0.11/0.53 [8]~E(x81,x82)+E(f5(x81),f5(x82))
% 0.11/0.53
% 0.11/0.53 %-------------------------------------------
% 0.11/0.53 cnf(14,plain,
% 0.11/0.53 (E(a4,f1(x141,x141))),
% 0.11/0.53 inference(scs_inference,[],[9,2])).
% 0.11/0.53 cnf(15,plain,
% 0.11/0.53 (E(f1(f1(x151,f1(f1(x151,x152),f1(x153,x153))),x152),a4)),
% 0.11/0.53 inference(scs_inference,[],[9,12,2,3])).
% 0.11/0.53 cnf(22,plain,
% 0.11/0.53 (~E(f6(f5(a3),a3),f6(f5(a2),a2))),
% 0.11/0.53 inference(scs_inference,[],[13,2])).
% 0.11/0.53 cnf(25,plain,
% 0.11/0.54 (E(f5(x251),f1(f1(x252,x252),x251))),
% 0.11/0.54 inference(scs_inference,[],[10,2])).
% 0.11/0.54 cnf(26,plain,
% 0.11/0.54 (E(f1(x261,x261),f1(x262,x262))),
% 0.11/0.54 inference(scs_inference,[],[9,14,10,2,3])).
% 0.11/0.54 cnf(31,plain,
% 0.11/0.54 (~E(f6(f5(a3),a3),f1(f5(a2),f1(f1(x311,x311),a2)))),
% 0.11/0.54 inference(scs_inference,[],[11,22,3])).
% 0.11/0.54 cnf(35,plain,
% 0.11/0.54 (E(f1(x351,f1(f1(x352,x352),x353)),f1(x351,f5(x353)))),
% 0.11/0.54 inference(scs_inference,[],[10,15,11,22,3,2,7,5])).
% 0.11/0.54 cnf(41,plain,
% 0.11/0.54 (~E(f1(f5(a2),f1(f1(x411,x411),a2)),f6(f5(a3),a3))),
% 0.11/0.54 inference(scs_inference,[],[10,25,31,3,2])).
% 0.11/0.54 cnf(43,plain,
% 0.11/0.54 (E(f1(x431,f1(f1(x432,x432),x433)),f6(x431,x433))),
% 0.11/0.54 inference(rename_variables,[],[11])).
% 0.11/0.54 cnf(44,plain,
% 0.11/0.54 (E(f6(x441,x442),f1(x441,f1(f1(x443,x443),x442)))),
% 0.11/0.54 inference(scs_inference,[],[11,43,41,3,2])).
% 0.11/0.54 cnf(45,plain,
% 0.11/0.54 (~E(f1(f5(a3),f1(f1(x451,x451),a3)),f1(f5(a2),f1(f1(x452,x452),a2)))),
% 0.11/0.54 inference(scs_inference,[],[44,31,3])).
% 0.11/0.54 cnf(76,plain,
% 0.11/0.54 (~E(f1(f5(a2),f1(f1(x761,x761),a2)),f1(f5(a3),f5(a3)))),
% 0.11/0.54 inference(scs_inference,[],[45,35,3,2])).
% 0.11/0.54 cnf(84,plain,
% 0.11/0.54 ($false),
% 0.11/0.54 inference(scs_inference,[],[26,76,35,3]),
% 0.11/0.54 ['proof']).
% 0.11/0.54 % SZS output end Proof
% 0.11/0.54 % Total time :0.030000s
%------------------------------------------------------------------------------