TSTP Solution File: GRP537-1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GRP537-1 : 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 : n031.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 0.17s 0.61s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : GRP537-1 : TPTP v8.1.2. Released v2.6.0.
% 0.00/0.11 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.11/0.32 % Computer : n031.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue Aug 29 01:47:10 EDT 2023
% 0.11/0.32 % CPUTime :
% 0.17/0.53 start to proof:theBenchmark
% 0.17/0.61 %-------------------------------------------
% 0.17/0.61 % File :CSE---1.6
% 0.17/0.61 % Problem :theBenchmark
% 0.17/0.61 % Transform :cnf
% 0.17/0.61 % Format :tptp:raw
% 0.17/0.61 % Command :java -jar mcs_scs.jar %d %s
% 0.17/0.61
% 0.17/0.61 % Result :Theorem 0.020000s
% 0.17/0.61 % Output :CNFRefutation 0.020000s
% 0.17/0.61 %-------------------------------------------
% 0.17/0.61 %--------------------------------------------------------------------------
% 0.17/0.61 % File : GRP537-1 : TPTP v8.1.2. Released v2.6.0.
% 0.17/0.61 % Domain : Group Theory (Abelian)
% 0.17/0.61 % Problem : Axiom for Abelian group theory, in division, part 1
% 0.17/0.61 % Version : [McC93] (equality) axioms.
% 0.17/0.61 % English :
% 0.17/0.61
% 0.17/0.61 % Refs : [McC93] McCune (1993), Single Axioms for Groups and Abelian Gr
% 0.17/0.61 % Source : [TPTP]
% 0.17/0.61 % Names :
% 0.17/0.61
% 0.17/0.61 % Status : Unsatisfiable
% 0.17/0.61 % Rating : 0.00 v7.4.0, 0.04 v7.3.0, 0.00 v6.4.0, 0.05 v6.3.0, 0.12 v6.2.0, 0.14 v6.1.0, 0.00 v6.0.0, 0.05 v5.4.0, 0.00 v2.6.0
% 0.17/0.61 % Syntax : Number of clauses : 5 ( 5 unt; 0 nHn; 1 RR)
% 0.17/0.61 % Number of literals : 5 ( 5 equ; 1 neg)
% 0.17/0.61 % Maximal clause size : 1 ( 1 avg)
% 0.17/0.61 % Maximal term depth : 4 ( 2 avg)
% 0.17/0.61 % Number of predicates : 1 ( 0 usr; 0 prp; 2-2 aty)
% 0.17/0.61 % Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% 0.17/0.61 % Number of variables : 9 ( 0 sgn)
% 0.17/0.61 % SPC : CNF_UNS_RFO_PEQ_UEQ
% 0.17/0.61
% 0.17/0.61 % Comments : A UEQ part of GRP092-1
% 0.17/0.61 %--------------------------------------------------------------------------
% 0.17/0.61 cnf(single_axiom,axiom,
% 0.17/0.61 divide(divide(A,B),divide(divide(A,C),B)) = C ).
% 0.17/0.61
% 0.17/0.61 cnf(multiply,axiom,
% 0.17/0.61 multiply(A,B) = divide(A,divide(divide(C,C),B)) ).
% 0.17/0.61
% 0.17/0.61 cnf(inverse,axiom,
% 0.17/0.61 inverse(A) = divide(divide(B,B),A) ).
% 0.17/0.61
% 0.17/0.61 cnf(identity,axiom,
% 0.17/0.61 identity = divide(A,A) ).
% 0.17/0.61
% 0.17/0.61 cnf(prove_these_axioms_1,negated_conjecture,
% 0.17/0.61 multiply(inverse(a1),a1) != multiply(inverse(b1),b1) ).
% 0.17/0.61
% 0.17/0.61 %--------------------------------------------------------------------------
% 0.17/0.61 %-------------------------------------------
% 0.17/0.61 % Proof found
% 0.17/0.61 % SZS status Theorem for theBenchmark
% 0.17/0.61 % SZS output start Proof
% 0.17/0.61 %ClaNum:13(EqnAxiom:8)
% 0.17/0.61 %VarNum:18(SingletonVarNum:9)
% 0.17/0.61 %MaxLitNum:1
% 0.17/0.61 %MaxfuncDepth:3
% 0.17/0.61 %SharedTerms:8
% 0.17/0.61 %goalClause: 13
% 0.17/0.61 %singleGoalClaCount:1
% 0.17/0.61 [13]~E(f6(f5(a2),a2),f6(f5(a3),a3))
% 0.17/0.61 [9]E(f1(x91,x91),a4)
% 0.17/0.61 [10]E(f1(f1(x101,x101),x102),f5(x102))
% 0.17/0.61 [11]E(f1(x111,f1(f1(x112,x112),x113)),f6(x111,x113))
% 0.17/0.61 [12]E(f1(f1(x121,x122),f1(f1(x121,x123),x122)),x123)
% 0.17/0.61 %EqnAxiom
% 0.17/0.61 [1]E(x11,x11)
% 0.17/0.61 [2]E(x22,x21)+~E(x21,x22)
% 0.17/0.61 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.17/0.61 [4]~E(x41,x42)+E(f1(x41,x43),f1(x42,x43))
% 0.17/0.61 [5]~E(x51,x52)+E(f1(x53,x51),f1(x53,x52))
% 0.17/0.61 [6]~E(x61,x62)+E(f6(x61,x63),f6(x62,x63))
% 0.17/0.61 [7]~E(x71,x72)+E(f6(x73,x71),f6(x73,x72))
% 0.17/0.61 [8]~E(x81,x82)+E(f5(x81),f5(x82))
% 0.17/0.61
% 0.17/0.61 %-------------------------------------------
% 0.17/0.62 cnf(14,plain,
% 0.17/0.62 (E(a4,f1(x141,x141))),
% 0.17/0.62 inference(scs_inference,[],[9,2])).
% 0.17/0.62 cnf(15,plain,
% 0.17/0.62 (~E(f6(f5(a2),a2),f1(f5(a3),f1(f1(x151,x151),a3)))),
% 0.17/0.62 inference(scs_inference,[],[13,9,11,2,3])).
% 0.17/0.62 cnf(22,plain,
% 0.17/0.62 (~E(f6(f5(a3),a3),f6(f5(a2),a2))),
% 0.17/0.62 inference(scs_inference,[],[13,2])).
% 0.17/0.62 cnf(28,plain,
% 0.17/0.62 (~E(f1(f5(a3),f1(f1(x281,x281),a3)),f6(f5(a2),a2))),
% 0.17/0.62 inference(scs_inference,[],[11,15,22,3,2])).
% 0.17/0.62 cnf(30,plain,
% 0.17/0.62 (E(f1(f1(x301,x301),x302),f5(x302))),
% 0.17/0.62 inference(rename_variables,[],[10])).
% 0.17/0.62 cnf(32,plain,
% 0.17/0.62 (E(f5(x321),f1(f1(x322,x322),x321))),
% 0.17/0.62 inference(scs_inference,[],[10,30,14,3,2])).
% 0.17/0.62 cnf(35,plain,
% 0.17/0.62 (E(f6(f1(f1(x351,x351),x352),x353),f6(f5(x352),x353))),
% 0.17/0.62 inference(scs_inference,[],[10,30,14,3,2,8,7,6])).
% 0.17/0.62 cnf(36,plain,
% 0.17/0.62 (E(f1(x361,f1(f1(x362,x362),x363)),f1(x361,f5(x363)))),
% 0.17/0.62 inference(scs_inference,[],[10,30,14,3,2,8,7,6,5])).
% 0.17/0.62 cnf(38,plain,
% 0.17/0.62 (~E(f1(f5(a3),f5(a3)),f6(f5(a2),a2))),
% 0.17/0.62 inference(scs_inference,[],[36,28,3])).
% 0.17/0.62 cnf(44,plain,
% 0.17/0.62 (E(a4,f6(f1(f1(x441,x441),x442),x442))),
% 0.17/0.62 inference(scs_inference,[],[11,14,3])).
% 0.17/0.62 cnf(48,plain,
% 0.17/0.62 (E(f5(f1(f1(x481,x482),x481)),x482)),
% 0.17/0.62 inference(scs_inference,[],[12,32,3])).
% 0.17/0.62 cnf(57,plain,
% 0.17/0.62 (~E(f6(f5(a2),a2),f1(f5(a3),f5(a3)))),
% 0.17/0.62 inference(scs_inference,[],[38,2])).
% 0.17/0.62 cnf(58,plain,
% 0.17/0.62 (~E(f6(f5(a2),a2),a4)),
% 0.17/0.62 inference(scs_inference,[],[14,57,3])).
% 0.17/0.62 cnf(63,plain,
% 0.17/0.62 (~E(a4,f6(f5(a2),a2))),
% 0.17/0.62 inference(scs_inference,[],[14,48,58,3,2])).
% 0.17/0.62 cnf(73,plain,
% 0.17/0.62 ($false),
% 0.17/0.62 inference(scs_inference,[],[35,63,44,3]),
% 0.17/0.62 ['proof']).
% 0.17/0.62 % SZS output end Proof
% 0.17/0.62 % Total time :0.020000s
%------------------------------------------------------------------------------