%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : BOO011-2 : TPTP v8.2.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n008.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 04:35:46 EDT 2024
% Result : Unsatisfiable 0.61s 0.71s
% Output : CNFRefutation 0.61s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : BOO011-2 : TPTP v8.2.0. Bugfixed v1.2.1.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n008.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Jun 18 19:57:54 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.44/0.64 start to proof:theBenchmark
% 0.61/0.70 %-------------------------------------------
% 0.61/0.70 % File :CSE---1.7
% 0.61/0.70 % Problem :theBenchmark
% 0.61/0.70 % Transform :cnf
% 0.61/0.70 % Format :tptp:raw
% 0.61/0.70 % Command :java -jar mcs_scs.jar %d %s
% 0.61/0.70
% 0.61/0.70 % Result :Theorem 0.030000s
% 0.61/0.70 % Output :CNFRefutation 0.030000s
% 0.61/0.70 %-------------------------------------------
% 0.61/0.71 %--------------------------------------------------------------------------
% 0.61/0.71 % File : BOO011-2 : TPTP v8.2.0. Bugfixed v1.2.1.
% 0.61/0.71 % Domain : Boolean Algebra
% 0.61/0.71 % Problem : Inverse of additive identity = Multiplicative identity
% 0.61/0.71 % Version : [ANL] (equality) axioms.
% 0.61/0.71 % English : The inverse of the additive identity is the multiplicative
% 0.61/0.71 % identity.
% 0.61/0.71
% 0.61/0.71 % Refs :
% 0.61/0.71 % Source : [ANL]
% 0.61/0.71 % Names : prob7.ver2.in [ANL]
% 0.61/0.71
% 0.61/0.71 % Status : Unsatisfiable
% 0.61/0.71 % Rating : 0.00 v7.4.0, 0.04 v7.3.0, 0.00 v7.0.0, 0.05 v6.4.0, 0.11 v6.3.0, 0.12 v6.2.0, 0.14 v6.1.0, 0.06 v6.0.0, 0.10 v5.5.0, 0.05 v5.4.0, 0.00 v2.0.0
% 0.61/0.71 % Syntax : Number of clauses : 15 ( 15 unt; 0 nHn; 1 RR)
% 0.61/0.71 % Number of literals : 15 ( 15 equ; 1 neg)
% 0.61/0.71 % Maximal clause size : 1 ( 1 avg)
% 0.61/0.71 % Maximal term depth : 3 ( 1 avg)
% 0.61/0.71 % Number of predicates : 1 ( 0 usr; 0 prp; 2-2 aty)
% 0.61/0.71 % Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% 0.61/0.71 % Number of variables : 24 ( 0 sgn)
% 0.61/0.71 % SPC : CNF_UNS_RFO_PEQ_UEQ
% 0.61/0.71
% 0.61/0.71 % Comments :
% 0.61/0.71 % Bugfixes : v1.2.1 - Clause prove_inverse_of_1_is_0 fixed.
% 0.61/0.71 %--------------------------------------------------------------------------
% 0.61/0.71 %----Include boolean algebra axioms for equality formulation
% 0.61/0.71 include('Axioms/BOO003-0.ax').
% 0.61/0.71 %--------------------------------------------------------------------------
% 0.61/0.71 cnf(prove_inverse_of_1_is_0,negated_conjecture,
% 0.61/0.71 inverse(additive_identity) != multiplicative_identity ).
% 0.61/0.71
% 0.61/0.71 %--------------------------------------------------------------------------
% 0.61/0.71 %-------------------------------------------
% 0.61/0.71 % Proof found
% 0.61/0.71 % SZS status Theorem for theBenchmark
% 0.61/0.71 % SZS output start Proof
% 0.61/0.71 %ClaNum:23(EqnAxiom:8)
% 0.61/0.71 %VarNum:52(SingletonVarNum:24)
% 0.61/0.71 %MaxLitNum:1
% 0.61/0.71 %MaxfuncDepth:2
% 0.61/0.71 %SharedTerms:4
% 0.61/0.71 %goalClause: 23
% 0.61/0.71 %singleGoalClaCount:1
% 0.61/0.71 [23]~E(f4(a1),a3)
% 0.61/0.71 [9]E(f2(x91,a1),x91)
% 0.61/0.71 [10]E(f5(x101,a3),x101)
% 0.61/0.71 [11]E(f2(a1,x111),x111)
% 0.61/0.71 [12]E(f5(a3,x121),x121)
% 0.61/0.71 [13]E(f2(x131,f4(x131)),a3)
% 0.61/0.71 [14]E(f5(x141,f4(x141)),a1)
% 0.61/0.71 [15]E(f2(f4(x151),x151),a3)
% 0.61/0.71 [16]E(f5(f4(x161),x161),a1)
% 0.61/0.71 [17]E(f2(x171,x172),f2(x172,x171))
% 0.61/0.71 [18]E(f5(x181,x182),f5(x182,x181))
% 0.61/0.71 [19]E(f5(f2(x191,x192),f2(x191,x193)),f2(x191,f5(x192,x193)))
% 0.61/0.71 [20]E(f2(f5(x201,x202),f5(x201,x203)),f5(x201,f2(x202,x203)))
% 0.61/0.71 [21]E(f5(f2(x211,x212),f2(x213,x212)),f2(f5(x211,x213),x212))
% 0.61/0.71 [22]E(f2(f5(x221,x222),f5(x223,x222)),f5(f2(x221,x223),x222))
% 0.61/0.71 %EqnAxiom
% 0.61/0.71 [1]E(x11,x11)
% 0.61/0.71 [2]E(x22,x21)+~E(x21,x22)
% 0.61/0.71 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.61/0.71 [4]~E(x41,x42)+E(f2(x41,x43),f2(x42,x43))
% 0.61/0.71 [5]~E(x51,x52)+E(f2(x53,x51),f2(x53,x52))
% 0.61/0.71 [6]~E(x61,x62)+E(f5(x61,x63),f5(x62,x63))
% 0.61/0.71 [7]~E(x71,x72)+E(f5(x73,x71),f5(x73,x72))
% 0.61/0.71 [8]~E(x81,x82)+E(f4(x81),f4(x82))
% 0.61/0.71
% 0.61/0.71 %-------------------------------------------
% 0.61/0.72 cnf(24,plain,
% 0.61/0.72 (E(x241,f2(x241,a1))),
% 0.61/0.72 inference(scs_inference,[],[9,2])).
% 0.61/0.72 cnf(27,plain,
% 0.61/0.72 (E(x271,f5(x271,a3))),
% 0.61/0.72 inference(scs_inference,[],[10,2])).
% 0.61/0.72 cnf(30,plain,
% 0.61/0.72 (E(x301,f2(a1,x301))),
% 0.61/0.72 inference(scs_inference,[],[11,2])).
% 0.61/0.72 cnf(31,plain,
% 0.61/0.72 (E(x311,f5(f2(x311,a1),a3))),
% 0.61/0.72 inference(scs_inference,[],[24,27,11,2,3])).
% 0.61/0.72 cnf(33,plain,
% 0.61/0.72 (E(f5(f2(x331,a1),a3),x331)),
% 0.61/0.72 inference(scs_inference,[],[31,2])).
% 0.61/0.72 cnf(34,plain,
% 0.61/0.72 (E(x341,f5(f2(a1,x341),a3))),
% 0.61/0.72 inference(scs_inference,[],[30,27,31,2,3])).
% 0.61/0.72 cnf(36,plain,
% 0.61/0.72 (E(f5(f2(a1,x361),a3),x361)),
% 0.61/0.72 inference(scs_inference,[],[34,2])).
% 0.61/0.72 cnf(37,plain,
% 0.61/0.72 (~E(f4(a1),f5(f2(a3,a1),a3))),
% 0.61/0.72 inference(scs_inference,[],[23,33,34,2,3])).
% 0.61/0.72 cnf(61,plain,
% 0.61/0.72 (E(a3,f2(x611,f4(x611)))),
% 0.61/0.72 inference(scs_inference,[],[13,2])).
% 0.61/0.72 cnf(64,plain,
% 0.61/0.72 (E(a1,f5(x641,f4(x641)))),
% 0.61/0.72 inference(scs_inference,[],[14,2])).
% 0.61/0.72 cnf(65,plain,
% 0.61/0.72 (E(f5(f2(a3,a1),a3),f2(x651,f4(x651)))),
% 0.61/0.72 inference(scs_inference,[],[61,33,14,2,3])).
% 0.61/0.72 cnf(67,plain,
% 0.61/0.72 (E(f2(x671,f4(x671)),f5(f2(a3,a1),a3))),
% 0.61/0.72 inference(scs_inference,[],[65,2])).
% 0.61/0.72 cnf(68,plain,
% 0.61/0.72 (E(f5(f2(a1,a1),a3),f5(x681,f4(x681)))),
% 0.61/0.72 inference(scs_inference,[],[64,36,65,2,3])).
% 0.61/0.72 cnf(71,plain,
% 0.61/0.72 ($false),
% 0.61/0.72 inference(scs_inference,[],[67,30,68,37,2,3]),
% 0.61/0.72 ['proof']).
% 0.61/0.72 % SZS output end Proof
% 0.61/0.72 % Total time :0.030000s
%------------------------------------------------------------------------------