TSTP Solution File: RNG023-6 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : RNG023-6 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n024.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 13:47:44 EDT 2023
% Result : Unsatisfiable 0.84s 0.95s
% Output : CNFRefutation 0.89s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : RNG023-6 : TPTP v8.1.2. Released v1.0.0.
% 0.13/0.14 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.14/0.36 % Computer : n024.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sun Aug 27 02:12:38 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.21/0.57 start to proof:theBenchmark
% 0.84/0.95 %-------------------------------------------
% 0.84/0.95 % File :CSE---1.6
% 0.84/0.95 % Problem :theBenchmark
% 0.84/0.95 % Transform :cnf
% 0.84/0.95 % Format :tptp:raw
% 0.84/0.95 % Command :java -jar mcs_scs.jar %d %s
% 0.84/0.95
% 0.84/0.95 % Result :Theorem 0.320000s
% 0.84/0.95 % Output :CNFRefutation 0.320000s
% 0.84/0.95 %-------------------------------------------
% 0.84/0.95 %--------------------------------------------------------------------------
% 0.84/0.95 % File : RNG023-6 : TPTP v8.1.2. Released v1.0.0.
% 0.84/0.95 % Domain : Ring Theory (Alternative)
% 0.84/0.95 % Problem : Left alternative
% 0.84/0.95 % Version : [Ste87] (equality) axioms.
% 0.84/0.95 % Theorem formulation : In terms of associators
% 0.84/0.95 % English :
% 0.84/0.95
% 0.84/0.95 % Refs : [Ste87] Stevens (1987), Some Experiments in Nonassociative Rin
% 0.84/0.95 % : [Ste92] Stevens (1992), Unpublished Note
% 0.84/0.95 % Source : [Ste92]
% 0.84/0.95 % Names : - [Ste87]
% 0.84/0.95
% 0.84/0.95 % Status : Unsatisfiable
% 0.84/0.95 % Rating : 0.00 v7.4.0, 0.04 v7.3.0, 0.00 v7.0.0, 0.05 v6.3.0, 0.00 v6.1.0, 0.06 v6.0.0, 0.10 v5.5.0, 0.05 v5.4.0, 0.07 v5.3.0, 0.00 v2.1.0, 0.13 v2.0.0
% 0.84/0.95 % Syntax : Number of clauses : 16 ( 16 unt; 0 nHn; 1 RR)
% 0.84/0.95 % Number of literals : 16 ( 16 equ; 1 neg)
% 0.84/0.95 % Maximal clause size : 1 ( 1 avg)
% 0.84/0.95 % Maximal term depth : 5 ( 2 avg)
% 0.84/0.95 % Number of predicates : 1 ( 0 usr; 0 prp; 2-2 aty)
% 0.84/0.95 % Number of functors : 8 ( 8 usr; 3 con; 0-3 aty)
% 0.84/0.95 % Number of variables : 27 ( 2 sgn)
% 0.84/0.95 % SPC : CNF_UNS_RFO_PEQ_UEQ
% 0.84/0.95
% 0.84/0.95 % Comments :
% 0.84/0.95 %--------------------------------------------------------------------------
% 0.84/0.95 %----Include nonassociative ring axioms
% 0.84/0.95 include('Axioms/RNG003-0.ax').
% 0.84/0.95 %--------------------------------------------------------------------------
% 0.84/0.95 cnf(prove_left_alternative,negated_conjecture,
% 0.84/0.95 associator(x,x,y) != additive_identity ).
% 0.84/0.95
% 0.84/0.95 %--------------------------------------------------------------------------
% 0.84/0.95 %-------------------------------------------
% 0.84/0.95 % Proof found
% 0.84/0.95 % SZS status Theorem for theBenchmark
% 0.84/0.95 % SZS output start Proof
% 0.84/0.95 %ClaNum:22(EqnAxiom:8)
% 0.84/0.95 %VarNum:48(SingletonVarNum:22)
% 0.84/0.95 %MaxLitNum:1
% 0.84/0.95 %MaxfuncDepth:4
% 0.84/0.95 %SharedTerms:10
% 0.84/0.95 %goalClause: 22
% 0.84/0.95 %singleGoalClaCount:1
% 0.84/0.95 [22]~E(f3(f4(f4(a5,a5),a6),f1(f4(a5,f4(a5,a6)))),a2)
% 0.84/0.95 [10]E(f4(x101,a2),a2)
% 0.84/0.95 [11]E(f4(a2,x111),a2)
% 0.84/0.95 [12]E(f3(x121,a2),x121)
% 0.84/0.95 [13]E(f3(a2,x131),x131)
% 0.84/0.95 [9]E(f1(f1(x91)),x91)
% 0.84/0.95 [14]E(f3(x141,f1(x141)),a2)
% 0.84/0.95 [15]E(f3(f1(x151),x151),a2)
% 0.84/0.95 [16]E(f3(x161,x162),f3(x162,x161))
% 0.84/0.95 [18]E(f4(f4(x181,x182),x182),f4(x181,f4(x182,x182)))
% 0.84/0.95 [19]E(f4(f4(x191,x191),x192),f4(x191,f4(x191,x192)))
% 0.84/0.95 [17]E(f3(f3(x171,x172),x173),f3(x171,f3(x172,x173)))
% 0.84/0.95 [20]E(f3(f4(x201,x202),f4(x201,x203)),f4(x201,f3(x202,x203)))
% 0.84/0.95 [21]E(f3(f4(x211,x212),f4(x213,x212)),f4(f3(x211,x213),x212))
% 0.84/0.95 %EqnAxiom
% 0.84/0.95 [1]E(x11,x11)
% 0.84/0.95 [2]E(x22,x21)+~E(x21,x22)
% 0.84/0.95 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.84/0.95 [4]~E(x41,x42)+E(f1(x41),f1(x42))
% 0.84/0.95 [5]~E(x51,x52)+E(f3(x51,x53),f3(x52,x53))
% 0.84/0.95 [6]~E(x61,x62)+E(f3(x63,x61),f3(x63,x62))
% 0.84/0.95 [7]~E(x71,x72)+E(f4(x71,x73),f4(x72,x73))
% 0.84/0.96 [8]~E(x81,x82)+E(f4(x83,x81),f4(x83,x82))
% 0.84/0.96
% 0.84/0.96 %-------------------------------------------
% 0.89/0.96 cnf(25,plain,
% 0.89/0.96 (E(f3(x251,a2),x251)),
% 0.89/0.96 inference(rename_variables,[],[12])).
% 0.89/0.96 cnf(26,plain,
% 0.89/0.96 (E(f4(x261,f3(x262,a2)),f4(x261,x262))),
% 0.89/0.96 inference(scs_inference,[],[22,12,25,2,3,8])).
% 0.89/0.96 cnf(28,plain,
% 0.89/0.96 (E(f3(x281,f3(x282,a2)),f3(x281,x282))),
% 0.89/0.96 inference(scs_inference,[],[22,12,25,2,3,8,7,6])).
% 0.89/0.96 cnf(32,plain,
% 0.89/0.96 (~E(f3(f1(f4(a5,f4(a5,a6))),f4(f4(a5,a5),a6)),a2)),
% 0.89/0.96 inference(scs_inference,[],[22,16,2,3])).
% 0.89/0.96 cnf(52,plain,
% 0.89/0.96 (~E(f3(f1(f4(a5,f4(a5,a6))),f4(f4(a5,a5),a6)),f4(a2,x521))),
% 0.89/0.96 inference(scs_inference,[],[11,32,2,3])).
% 0.89/0.96 cnf(59,plain,
% 0.89/0.96 (E(f3(x591,f4(x592,f3(x593,a2))),f3(x591,f4(x592,x593)))),
% 0.89/0.96 inference(scs_inference,[],[12,26,2,3,6])).
% 0.89/0.96 cnf(64,plain,
% 0.89/0.96 (~E(f4(a2,x641),f3(f1(f4(a5,f4(a5,a6))),f4(f4(a5,a5),a6)))),
% 0.89/0.96 inference(scs_inference,[],[52,2])).
% 0.89/0.96 cnf(74,plain,
% 0.89/0.96 (~E(f3(f1(f4(a5,f4(a5,a6))),f4(f4(a5,a5),a6)),f3(x741,f1(x741)))),
% 0.89/0.96 inference(scs_inference,[],[14,32,2,3])).
% 0.89/0.96 cnf(80,plain,
% 0.89/0.96 (~E(f3(x801,f1(x801)),f3(f1(f4(a5,f4(a5,a6))),f4(f4(a5,a5),a6)))),
% 0.89/0.96 inference(scs_inference,[],[74,2])).
% 0.89/0.96 cnf(89,plain,
% 0.89/0.96 (~E(f3(f1(x891),x891),f3(f1(f4(a5,f4(a5,a6))),f4(f4(a5,a5),a6)))),
% 0.89/0.96 inference(scs_inference,[],[16,28,80,2,3])).
% 0.89/0.96 cnf(119,plain,
% 0.89/0.96 (E(f4(x1191,f4(x1191,x1192)),f4(f4(x1191,x1191),x1192))),
% 0.89/0.96 inference(scs_inference,[],[19,2])).
% 0.89/0.96 cnf(321,plain,
% 0.89/0.96 ($false),
% 0.89/0.96 inference(scs_inference,[],[64,59,119,89,3,7,4,6]),
% 0.89/0.96 ['proof']).
% 0.89/0.96 % SZS output end Proof
% 0.89/0.96 % Total time :0.320000s
%------------------------------------------------------------------------------