TSTP Solution File: RNG001-3 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : RNG001-3 : 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 : 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 13:47:36 EDT 2023
% Result : Unsatisfiable 0.19s 0.66s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : RNG001-3 : TPTP v8.1.2. Released v1.0.0.
% 0.12/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.12/0.34 % Computer : n031.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 : Sun Aug 27 02:23:53 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.57 start to proof:theBenchmark
% 0.19/0.66 %-------------------------------------------
% 0.19/0.66 % File :CSE---1.6
% 0.19/0.66 % Problem :theBenchmark
% 0.19/0.66 % Transform :cnf
% 0.19/0.66 % Format :tptp:raw
% 0.19/0.66 % Command :java -jar mcs_scs.jar %d %s
% 0.19/0.66
% 0.19/0.66 % Result :Theorem 0.040000s
% 0.19/0.66 % Output :CNFRefutation 0.040000s
% 0.19/0.66 %-------------------------------------------
% 0.19/0.66 %--------------------------------------------------------------------------
% 0.19/0.66 % File : RNG001-3 : TPTP v8.1.2. Released v1.0.0.
% 0.19/0.66 % Domain : Ring Theory
% 0.19/0.66 % Problem : X.additive_identity = additive_identity for any X
% 0.19/0.66 % Version : [FL+74] axioms : Incomplete.
% 0.19/0.66 % English :
% 0.19/0.66
% 0.19/0.66 % Refs : [FL+74] Fleisig et al. (1974), An Implementation of the Model
% 0.19/0.66 % : [WM76] Wilson & Minker (1976), Resolution, Refinements, and S
% 0.19/0.66 % Source : [SPRFN]
% 0.19/0.66 % Names : Example 6a [FL+74]
% 0.19/0.66 % : EX6-T? [WM76]
% 0.19/0.66 % : ex6.lop [SETHEO]
% 0.19/0.66 % : FEX6T1 [SPRFN]
% 0.19/0.66 % : FEX6T2 [SPRFN]
% 0.19/0.66
% 0.19/0.66 % Status : Unsatisfiable
% 0.19/0.66 % Rating : 0.14 v8.1.0, 0.00 v7.4.0, 0.17 v7.3.0, 0.00 v6.1.0, 0.07 v6.0.0, 0.11 v5.5.0, 0.06 v5.4.0, 0.17 v5.3.0, 0.25 v5.2.0, 0.08 v5.1.0, 0.06 v5.0.0, 0.07 v4.0.1, 0.14 v4.0.0, 0.29 v3.4.0, 0.40 v3.3.0, 0.00 v2.7.0, 0.12 v2.6.0, 0.14 v2.5.0, 0.00 v2.4.0, 0.14 v2.3.0, 0.14 v2.2.1, 0.22 v2.1.0, 0.14 v2.0.0
% 0.19/0.66 % Syntax : Number of clauses : 8 ( 4 unt; 0 nHn; 5 RR)
% 0.19/0.66 % Number of literals : 22 ( 0 equ; 15 neg)
% 0.19/0.66 % Maximal clause size : 5 ( 2 avg)
% 0.19/0.66 % Maximal term depth : 2 ( 1 avg)
% 0.19/0.66 % Number of predicates : 2 ( 2 usr; 0 prp; 3-3 aty)
% 0.19/0.66 % Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% 0.19/0.66 % Number of variables : 30 ( 0 sgn)
% 0.19/0.66 % SPC : CNF_UNS_RFO_NEQ_HRN
% 0.19/0.66
% 0.19/0.66 % Comments :
% 0.19/0.66 %--------------------------------------------------------------------------
% 0.19/0.66 cnf(additive_identity1,axiom,
% 0.19/0.66 sum(additive_identity,X,X) ).
% 0.19/0.66
% 0.19/0.66 cnf(additive_inverse1,axiom,
% 0.19/0.66 sum(additive_inverse(X),X,additive_identity) ).
% 0.19/0.66
% 0.19/0.66 cnf(associativity_of_addition1,axiom,
% 0.19/0.66 ( ~ sum(X,Y,U)
% 0.19/0.66 | ~ sum(Y,Z,V)
% 0.19/0.66 | ~ sum(U,Z,W)
% 0.19/0.66 | sum(X,V,W) ) ).
% 0.19/0.66
% 0.19/0.66 cnf(associativity_of_addition2,axiom,
% 0.19/0.66 ( ~ sum(X,Y,U)
% 0.19/0.66 | ~ sum(Y,Z,V)
% 0.19/0.66 | ~ sum(X,V,W)
% 0.19/0.66 | sum(U,Z,W) ) ).
% 0.19/0.66
% 0.19/0.66 cnf(closure_of_multiplication,axiom,
% 0.19/0.66 product(X,Y,multiply(X,Y)) ).
% 0.19/0.66
% 0.19/0.66 cnf(distributivity1,axiom,
% 0.19/0.66 ( ~ product(X,Y,V1)
% 0.19/0.66 | ~ product(X,Z,V2)
% 0.19/0.66 | ~ sum(Y,Z,V3)
% 0.19/0.66 | ~ product(X,V3,V4)
% 0.19/0.66 | sum(V1,V2,V4) ) ).
% 0.19/0.66
% 0.19/0.66 cnf(distributivity2,axiom,
% 0.19/0.66 ( ~ product(X,Y,V1)
% 0.19/0.66 | ~ product(X,Z,V2)
% 0.19/0.66 | ~ sum(Y,Z,V3)
% 0.19/0.66 | ~ sum(V1,V2,V4)
% 0.19/0.66 | product(X,V3,V4) ) ).
% 0.19/0.66
% 0.19/0.66 cnf(prove_a_times_additive_id_is_additive_id,negated_conjecture,
% 0.19/0.66 ~ product(a,additive_identity,additive_identity) ).
% 0.19/0.66
% 0.19/0.66 %--------------------------------------------------------------------------
% 0.19/0.66 %-------------------------------------------
% 0.19/0.66 % Proof found
% 0.19/0.66 % SZS status Theorem for theBenchmark
% 0.19/0.66 % SZS output start Proof
% 0.19/0.66 %ClaNum:8(EqnAxiom:0)
% 0.19/0.66 %VarNum:62(SingletonVarNum:30)
% 0.19/0.66 %MaxLitNum:5
% 0.19/0.66 %MaxfuncDepth:1
% 0.19/0.66 %SharedTerms:3
% 0.19/0.66 %goalClause: 4
% 0.19/0.66 %singleGoalClaCount:1
% 0.19/0.66 [4]~P2(a2,a1,a1)
% 0.19/0.66 [1]P1(a1,x11,x11)
% 0.19/0.66 [2]P1(f3(x21),x21,a1)
% 0.19/0.66 [3]P2(x31,x32,f4(x31,x32))
% 0.19/0.66 [5]~P1(x56,x54,x51)+P1(x51,x52,x53)+~P1(x54,x52,x55)+~P1(x56,x55,x53)
% 0.19/0.66 [6]~P1(x61,x66,x64)+P1(x61,x62,x63)+~P1(x64,x65,x63)+~P1(x66,x65,x62)
% 0.19/0.66 [7]~P2(x77,x75,x72)+~P2(x77,x74,x71)+P1(x71,x72,x73)+~P1(x74,x75,x76)+~P2(x77,x76,x73)
% 0.19/0.66 [8]~P2(x81,x87,x85)+~P2(x81,x86,x84)+P2(x81,x82,x83)+~P1(x84,x85,x83)+~P1(x86,x87,x82)
% 0.19/0.66 %EqnAxiom
% 0.19/0.66
% 0.19/0.66 %-------------------------------------------
% 0.19/0.67 cnf(9,plain,
% 0.19/0.67 (~P2(a2,a1,f3(f4(a2,a1)))),
% 0.19/0.67 inference(scs_inference,[],[4,1,3,2,8])).
% 0.19/0.67 cnf(11,plain,
% 0.19/0.67 (P1(a1,x111,x111)),
% 0.19/0.67 inference(rename_variables,[],[1])).
% 0.19/0.67 cnf(12,plain,
% 0.19/0.67 (P2(x121,x122,f4(x121,x122))),
% 0.19/0.67 inference(rename_variables,[],[3])).
% 0.19/0.67 cnf(13,plain,
% 0.19/0.67 (P1(f4(x131,a1),f4(x131,a1),f4(x131,a1))),
% 0.19/0.67 inference(scs_inference,[],[4,1,11,3,12,2,8,7])).
% 0.19/0.67 cnf(22,plain,
% 0.19/0.67 (~P1(f4(a2,a1),f4(a2,a1),a1)),
% 0.19/0.67 inference(scs_inference,[],[4,1,3,8])).
% 0.19/0.67 cnf(23,plain,
% 0.19/0.67 (P1(a1,x231,x231)),
% 0.19/0.67 inference(rename_variables,[],[1])).
% 0.19/0.67 cnf(27,plain,
% 0.19/0.67 (~P1(f4(a2,a1),a1,f3(f4(a2,a1)))),
% 0.19/0.67 inference(scs_inference,[],[4,1,23,3,2,8,6])).
% 0.19/0.67 cnf(29,plain,
% 0.19/0.67 (P1(a1,x291,x291)),
% 0.19/0.67 inference(rename_variables,[],[1])).
% 0.19/0.67 cnf(31,plain,
% 0.19/0.67 (~P1(a1,f4(a2,a1),a1)),
% 0.19/0.67 inference(scs_inference,[],[4,1,23,29,3,2,13,8,6,5])).
% 0.19/0.67 cnf(39,plain,
% 0.19/0.67 (P1(a1,x391,x391)),
% 0.19/0.67 inference(rename_variables,[],[1])).
% 0.19/0.67 cnf(43,plain,
% 0.19/0.67 (P2(x431,x432,f4(x431,x432))),
% 0.19/0.67 inference(rename_variables,[],[3])).
% 0.19/0.67 cnf(44,plain,
% 0.19/0.67 (P2(x441,x442,f4(x441,x442))),
% 0.19/0.67 inference(rename_variables,[],[3])).
% 0.19/0.67 cnf(45,plain,
% 0.19/0.67 (P1(a1,x451,x451)),
% 0.19/0.67 inference(rename_variables,[],[1])).
% 0.19/0.67 cnf(48,plain,
% 0.19/0.67 (P1(a1,x481,x481)),
% 0.19/0.67 inference(rename_variables,[],[1])).
% 0.19/0.67 cnf(50,plain,
% 0.19/0.67 (P1(f4(x501,a1),f4(x501,x502),f4(x501,x502))),
% 0.19/0.67 inference(scs_inference,[],[1,39,45,48,9,2,3,44,43,27,22,5,8,6,7])).
% 0.19/0.67 cnf(153,plain,
% 0.19/0.67 ($false),
% 0.19/0.67 inference(scs_inference,[],[50,31,2,5]),
% 0.19/0.67 ['proof']).
% 0.19/0.67 % SZS output end Proof
% 0.19/0.67 % Total time :0.040000s
%------------------------------------------------------------------------------