TSTP Solution File: GRP206-1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GRP206-1 : TPTP v8.1.2. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n018.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 00:11:33 EDT 2023
% Result : Unsatisfiable 1.63s 1.72s
% Output : CNFRefutation 1.63s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP206-1 : TPTP v8.1.2. Released v2.3.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.12/0.34 % Computer : n018.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Aug 28 21:58:32 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.55 start to proof:theBenchmark
% 1.63/1.72 %-------------------------------------------
% 1.63/1.72 % File :CSE---1.6
% 1.63/1.72 % Problem :theBenchmark
% 1.63/1.72 % Transform :cnf
% 1.63/1.72 % Format :tptp:raw
% 1.63/1.72 % Command :java -jar mcs_scs.jar %d %s
% 1.63/1.72
% 1.63/1.72 % Result :Theorem 1.120000s
% 1.63/1.72 % Output :CNFRefutation 1.120000s
% 1.63/1.72 %-------------------------------------------
% 1.63/1.72 %--------------------------------------------------------------------------
% 1.63/1.72 % File : GRP206-1 : TPTP v8.1.2. Released v2.3.0.
% 1.63/1.72 % Domain : Group Theory (Loops)
% 1.63/1.72 % Problem : In Loops, Moufang-4 => Moufang-1.
% 1.63/1.72 % Version : [MP96] (equality) axioms.
% 1.63/1.72 % English :
% 1.63/1.72
% 1.63/1.72 % Refs : [Wos96] Wos (1996), OTTER and the Moufang Identity Problem
% 1.63/1.72 % Source : [Wos96]
% 1.63/1.72 % Names : - [Wos96]
% 1.63/1.72
% 1.63/1.72 % Status : Unsatisfiable
% 1.63/1.72 % Rating : 0.04 v8.1.0, 0.05 v7.5.0, 0.04 v7.4.0, 0.09 v7.3.0, 0.00 v7.0.0, 0.11 v6.3.0, 0.12 v6.2.0, 0.14 v6.1.0, 0.06 v6.0.0, 0.19 v5.5.0, 0.16 v5.4.0, 0.00 v5.1.0, 0.13 v5.0.0, 0.14 v4.1.0, 0.18 v4.0.1, 0.14 v4.0.0, 0.15 v3.7.0, 0.11 v3.4.0, 0.12 v3.3.0, 0.00 v2.3.0
% 1.63/1.72 % Syntax : Number of clauses : 10 ( 10 unt; 0 nHn; 1 RR)
% 1.63/1.72 % Number of literals : 10 ( 10 equ; 1 neg)
% 1.63/1.72 % Maximal clause size : 1 ( 1 avg)
% 1.63/1.72 % Maximal term depth : 4 ( 2 avg)
% 1.63/1.72 % Number of predicates : 1 ( 0 usr; 0 prp; 2-2 aty)
% 1.63/1.72 % Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% 1.63/1.72 % Number of variables : 15 ( 0 sgn)
% 1.63/1.72 % SPC : CNF_UNS_RFO_PEQ_UEQ
% 1.63/1.72
% 1.63/1.72 % Comments :
% 1.63/1.72 %--------------------------------------------------------------------------
% 1.63/1.72 %----Loop axioms:
% 1.63/1.72 cnf(left_identity,axiom,
% 1.63/1.72 multiply(identity,X) = X ).
% 1.63/1.72
% 1.63/1.72 cnf(right_identity,axiom,
% 1.63/1.72 multiply(X,identity) = X ).
% 1.63/1.72
% 1.63/1.72 cnf(multiply_left_division,axiom,
% 1.63/1.72 multiply(X,left_division(X,Y)) = Y ).
% 1.63/1.72
% 1.63/1.72 cnf(left_division_multiply,axiom,
% 1.63/1.72 left_division(X,multiply(X,Y)) = Y ).
% 1.63/1.72
% 1.63/1.72 cnf(multiply_right_division,axiom,
% 1.63/1.72 multiply(right_division(X,Y),Y) = X ).
% 1.63/1.72
% 1.63/1.72 cnf(right_division_multiply,axiom,
% 1.63/1.72 right_division(multiply(X,Y),Y) = X ).
% 1.63/1.72
% 1.63/1.72 cnf(right_inverse,axiom,
% 1.63/1.72 multiply(X,right_inverse(X)) = identity ).
% 1.63/1.72
% 1.63/1.72 cnf(left_inverse,axiom,
% 1.63/1.72 multiply(left_inverse(X),X) = identity ).
% 1.63/1.72
% 1.63/1.72 %----Moufang-4
% 1.63/1.72 cnf(moufang4,axiom,
% 1.63/1.72 multiply(X,multiply(multiply(Y,Z),X)) = multiply(multiply(X,Y),multiply(Z,X)) ).
% 1.63/1.72
% 1.63/1.72 %----Denial of Moufang-1
% 1.63/1.72 cnf(prove_moufang1,negated_conjecture,
% 1.63/1.72 multiply(multiply(a,multiply(b,c)),a) != multiply(multiply(a,b),multiply(c,a)) ).
% 1.63/1.72
% 1.63/1.72 %--------------------------------------------------------------------------
% 1.63/1.72 %-------------------------------------------
% 1.63/1.72 % Proof found
% 1.63/1.72 % SZS status Theorem for theBenchmark
% 1.63/1.72 % SZS output start Proof
% 1.63/1.72 %ClaNum:21(EqnAxiom:11)
% 1.63/1.72 %VarNum:32(SingletonVarNum:15)
% 1.63/1.72 %MaxLitNum:1
% 1.63/1.72 %MaxfuncDepth:3
% 1.63/1.72 %SharedTerms:11
% 1.63/1.72 %goalClause: 21
% 1.63/1.72 %singleGoalClaCount:1
% 1.63/1.72 [21]~E(f5(f5(a2,f5(a3,a4)),a2),f5(f5(a2,a3),f5(a4,a2)))
% 1.63/1.72 [12]E(f5(x121,a1),x121)
% 1.63/1.73 [13]E(f5(a1,x131),x131)
% 1.63/1.73 [14]E(f5(x141,f8(x141)),a1)
% 1.63/1.73 [15]E(f5(f6(x151),x151),a1)
% 1.63/1.73 [16]E(f5(x161,f7(x161,x162)),x162)
% 1.63/1.73 [17]E(f7(x171,f5(x171,x172)),x172)
% 1.63/1.73 [18]E(f5(f9(x181,x182),x182),x181)
% 1.63/1.73 [19]E(f9(f5(x191,x192),x192),x191)
% 1.63/1.73 [20]E(f5(f5(x201,x202),f5(x203,x201)),f5(x201,f5(f5(x202,x203),x201)))
% 1.63/1.73 %EqnAxiom
% 1.63/1.73 [1]E(x11,x11)
% 1.63/1.73 [2]E(x22,x21)+~E(x21,x22)
% 1.63/1.73 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 1.63/1.73 [4]~E(x41,x42)+E(f5(x41,x43),f5(x42,x43))
% 1.63/1.73 [5]~E(x51,x52)+E(f5(x53,x51),f5(x53,x52))
% 1.63/1.73 [6]~E(x61,x62)+E(f9(x61,x63),f9(x62,x63))
% 1.63/1.73 [7]~E(x71,x72)+E(f9(x73,x71),f9(x73,x72))
% 1.63/1.73 [8]~E(x81,x82)+E(f8(x81),f8(x82))
% 1.63/1.73 [9]~E(x91,x92)+E(f7(x91,x93),f7(x92,x93))
% 1.63/1.73 [10]~E(x101,x102)+E(f7(x103,x101),f7(x103,x102))
% 1.63/1.73 [11]~E(x111,x112)+E(f6(x111),f6(x112))
% 1.63/1.73
% 1.63/1.73 %-------------------------------------------
% 1.63/1.73 cnf(24,plain,
% 1.63/1.73 (E(f5(x241,a1),x241)),
% 1.63/1.73 inference(rename_variables,[],[12])).
% 1.63/1.73 cnf(31,plain,
% 1.63/1.73 (E(f5(x311,f5(x312,a1)),f5(x311,x312))),
% 1.63/1.73 inference(scs_inference,[],[12,24,14,2,3,11,10,9,8,7,6,5])).
% 1.63/1.73 cnf(32,plain,
% 1.63/1.73 (E(f5(f5(x321,a1),x322),f5(x321,x322))),
% 1.63/1.73 inference(scs_inference,[],[12,24,14,2,3,11,10,9,8,7,6,5,4])).
% 1.63/1.73 cnf(33,plain,
% 1.63/1.73 (~E(f5(f5(a2,a3),f5(a4,a2)),f5(f5(a2,f5(a3,a4)),a2))),
% 1.63/1.73 inference(scs_inference,[],[21,2])).
% 1.63/1.73 cnf(43,plain,
% 1.63/1.73 (E(f5(x431,f5(a1,x432)),f5(x431,x432))),
% 1.63/1.73 inference(scs_inference,[],[13,10,9,8,7,11,6,5])).
% 1.63/1.73 cnf(54,plain,
% 1.63/1.73 (E(f8(f5(f6(x541),x541)),f8(a1))),
% 1.63/1.73 inference(scs_inference,[],[15,7,11,10,9,8])).
% 1.63/1.73 cnf(78,plain,
% 1.63/1.73 (E(f7(f9(f5(x781,x782),x782),x783),f7(x781,x783))),
% 1.63/1.73 inference(scs_inference,[],[19,6,5,11,10,9])).
% 1.63/1.73 cnf(86,plain,
% 1.63/1.73 (E(f5(x861,f5(f5(x862,x863),x861)),f5(f5(x861,x862),f5(x863,x861)))),
% 1.63/1.73 inference(scs_inference,[],[20,31,33,3,2])).
% 1.63/1.73 cnf(91,plain,
% 1.63/1.73 (E(f5(x911,x912),f5(f5(x911,a1),x912))),
% 1.63/1.73 inference(scs_inference,[],[32,2])).
% 1.63/1.73 cnf(250,plain,
% 1.63/1.73 (~E(f5(f5(a2,a3),f5(a4,a2)),f5(f5(a2,f5(a3,a4)),f5(a1,a2)))),
% 1.63/1.73 inference(scs_inference,[],[43,54,33,2,3])).
% 1.63/1.73 cnf(260,plain,
% 1.63/1.73 (~E(f5(f5(a2,f5(a3,a4)),f5(a1,a2)),f5(f5(a2,a3),f5(a4,a2)))),
% 1.63/1.73 inference(scs_inference,[],[250,2])).
% 1.63/1.73 cnf(359,plain,
% 1.63/1.73 (E(f5(x3591,f5(x3592,x3593)),f5(x3591,f5(f5(x3592,a1),x3593)))),
% 1.63/1.73 inference(scs_inference,[],[91,6,5])).
% 1.63/1.73 cnf(480,plain,
% 1.63/1.73 (~E(f5(f5(a2,f5(a3,a4)),f5(a1,a2)),f5(a2,f5(f5(a3,a4),a2)))),
% 1.63/1.73 inference(scs_inference,[],[78,86,260,2,3])).
% 1.63/1.73 cnf(482,plain,
% 1.63/1.73 (~E(f5(a2,f5(f5(a3,a4),a2)),f5(f5(a2,f5(a3,a4)),f5(a1,a2)))),
% 1.63/1.73 inference(scs_inference,[],[480,2])).
% 1.63/1.73 cnf(497,plain,
% 1.63/1.73 ($false),
% 1.63/1.73 inference(scs_inference,[],[86,359,482,3]),
% 1.63/1.73 ['proof']).
% 1.63/1.73 % SZS output end Proof
% 1.63/1.73 % Total time :1.120000s
%------------------------------------------------------------------------------