TSTP Solution File: SET820-2 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SET820-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/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 14:31:09 EDT 2023
% Result : Unsatisfiable 0.21s 0.64s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET820-2 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.35 % Computer : n024.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sat Aug 26 08:47:24 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.21/0.58 start to proof:theBenchmark
% 0.21/0.63 %-------------------------------------------
% 0.21/0.63 % File :CSE---1.6
% 0.21/0.63 % Problem :theBenchmark
% 0.21/0.63 % Transform :cnf
% 0.21/0.63 % Format :tptp:raw
% 0.21/0.63 % Command :java -jar mcs_scs.jar %d %s
% 0.21/0.63
% 0.21/0.63 % Result :Theorem 0.000000s
% 0.21/0.63 % Output :CNFRefutation 0.000000s
% 0.21/0.63 %-------------------------------------------
% 0.21/0.63 %------------------------------------------------------------------------------
% 0.21/0.63 % File : SET820-2 : TPTP v8.1.2. Released v3.2.0.
% 0.21/0.63 % Domain : Set Theory
% 0.21/0.64 % Problem : Problem about set theory
% 0.21/0.64 % Version : [Pau06] axioms : Reduced > Especial.
% 0.21/0.64 % English :
% 0.21/0.64
% 0.21/0.64 % Refs : [Pau06] Paulson (2006), Email to G. Sutcliffe
% 0.21/0.64 % Source : [Pau06]
% 0.21/0.64 % Names :
% 0.21/0.64
% 0.21/0.64 % Status : Unsatisfiable
% 0.21/0.64 % Rating : 0.14 v8.1.0, 0.05 v7.5.0, 0.11 v7.4.0, 0.06 v7.3.0, 0.08 v7.1.0, 0.00 v7.0.0, 0.13 v6.4.0, 0.07 v6.3.0, 0.09 v6.2.0, 0.10 v6.1.0, 0.21 v6.0.0, 0.10 v5.5.0, 0.15 v5.4.0, 0.20 v5.3.0, 0.17 v5.2.0, 0.06 v5.1.0, 0.12 v5.0.0, 0.07 v4.1.0, 0.08 v4.0.1, 0.18 v3.7.0, 0.10 v3.5.0, 0.09 v3.4.0, 0.17 v3.3.0, 0.21 v3.2.0
% 0.21/0.64 % Syntax : Number of clauses : 6 ( 3 unt; 1 nHn; 5 RR)
% 0.21/0.64 % Number of literals : 10 ( 1 equ; 5 neg)
% 0.21/0.64 % Maximal clause size : 3 ( 1 avg)
% 0.21/0.64 % Maximal term depth : 2 ( 1 avg)
% 0.21/0.64 % Number of predicates : 3 ( 2 usr; 0 prp; 1-3 aty)
% 0.21/0.64 % Number of functors : 5 ( 5 usr; 3 con; 0-3 aty)
% 0.21/0.64 % Number of variables : 13 ( 5 sgn)
% 0.21/0.64 % SPC : CNF_UNS_RFO_SEQ_NHN
% 0.21/0.64
% 0.21/0.64 % Comments : The problems in the [Pau06] collection each have very many axioms,
% 0.21/0.64 % of which only a small selection are required for the refutation.
% 0.21/0.64 % The mission is to find those few axioms, after which a refutation
% 0.21/0.64 % can be quite easily found. This version has only the necessary
% 0.21/0.64 % axioms.
% 0.21/0.64 %------------------------------------------------------------------------------
% 0.21/0.64 cnf(cls_Set_OemptyE_0,axiom,
% 0.21/0.64 ~ c_in(V_a,c_emptyset,T_a) ).
% 0.21/0.64
% 0.21/0.64 cnf(cls_Set_OinsertCI_1,axiom,
% 0.21/0.64 c_in(V_x,c_insert(V_x,V_B,T_a),T_a) ).
% 0.21/0.64
% 0.21/0.64 cnf(cls_Set_OinsertE_0,axiom,
% 0.21/0.64 ( ~ c_in(V_a,c_insert(V_b,V_A,T_a),T_a)
% 0.21/0.64 | c_in(V_a,V_A,T_a)
% 0.21/0.64 | V_a = V_b ) ).
% 0.21/0.64
% 0.21/0.64 cnf(cls_conjecture_0,negated_conjecture,
% 0.21/0.64 v_P(v_a) ).
% 0.21/0.64
% 0.21/0.64 cnf(cls_conjecture_1,negated_conjecture,
% 0.21/0.64 ( ~ c_in(V_V,V_U,tc_IntDef_Oint)
% 0.21/0.64 | c_in(v_x(V_U),V_U,tc_IntDef_Oint) ) ).
% 0.21/0.64
% 0.21/0.64 cnf(cls_conjecture_2,negated_conjecture,
% 0.21/0.64 ( ~ c_in(V_W,V_U,tc_IntDef_Oint)
% 0.21/0.64 | ~ v_P(v_x(V_U)) ) ).
% 0.21/0.64
% 0.21/0.64 %------------------------------------------------------------------------------
% 0.21/0.64 %-------------------------------------------
% 0.21/0.64 % Proof found
% 0.21/0.64 % SZS status Theorem for theBenchmark
% 0.21/0.64 % SZS output start Proof
% 0.21/0.64 %ClaNum:17(EqnAxiom:11)
% 0.21/0.64 %VarNum:24(SingletonVarNum:13)
% 0.21/0.64 %MaxLitNum:3
% 0.21/0.64 %MaxfuncDepth:1
% 0.21/0.64 %SharedTerms:4
% 0.21/0.64 %goalClause: 12 15 16
% 0.21/0.64 %singleGoalClaCount:1
% 0.21/0.64 [12]P1(a1)
% 0.21/0.64 [14]~P2(x141,a3,x142)
% 0.21/0.64 [13]P2(x131,f2(x131,x132,x133),x133)
% 0.21/0.64 [15]~P2(x152,x151,a4)+~P1(f5(x151))
% 0.21/0.64 [16]~P2(x162,x161,a4)+P2(f5(x161),x161,a4)
% 0.21/0.64 [17]E(x171,x172)+P2(x171,x173,x174)+~P2(x171,f2(x172,x173,x174),x174)
% 0.21/0.64 %EqnAxiom
% 0.21/0.64 [1]E(x11,x11)
% 0.21/0.64 [2]E(x22,x21)+~E(x21,x22)
% 0.21/0.64 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.21/0.64 [4]~E(x41,x42)+E(f2(x41,x43,x44),f2(x42,x43,x44))
% 0.21/0.64 [5]~E(x51,x52)+E(f2(x53,x51,x54),f2(x53,x52,x54))
% 0.21/0.64 [6]~E(x61,x62)+E(f2(x63,x64,x61),f2(x63,x64,x62))
% 0.21/0.64 [7]~E(x71,x72)+E(f5(x71),f5(x72))
% 0.21/0.64 [8]~P1(x81)+P1(x82)+~E(x81,x82)
% 0.21/0.64 [9]P2(x92,x93,x94)+~E(x91,x92)+~P2(x91,x93,x94)
% 0.21/0.64 [10]P2(x103,x102,x104)+~E(x101,x102)+~P2(x103,x101,x104)
% 0.21/0.64 [11]P2(x113,x114,x112)+~E(x111,x112)+~P2(x113,x114,x111)
% 0.21/0.64
% 0.21/0.64 %-------------------------------------------
% 0.21/0.65 cnf(19,plain,
% 0.21/0.65 (P2(x191,f2(x191,x192,x193),x193)),
% 0.21/0.65 inference(rename_variables,[],[13])).
% 0.21/0.65 cnf(21,plain,
% 0.21/0.65 (P2(f5(f2(x211,x212,a4)),f2(x211,x212,a4),a4)),
% 0.21/0.65 inference(scs_inference,[],[14,13,19,10,2,16])).
% 0.21/0.65 cnf(22,plain,
% 0.21/0.65 (P2(x221,f2(x221,x222,x223),x223)),
% 0.21/0.65 inference(rename_variables,[],[13])).
% 0.21/0.65 cnf(27,plain,
% 0.21/0.65 (~E(a1,f5(f2(x271,x272,a4)))),
% 0.21/0.65 inference(scs_inference,[],[12,14,13,19,22,10,2,16,15,8])).
% 0.21/0.65 cnf(28,plain,
% 0.21/0.65 (~E(x281,a3)+~E(f2(x282,x283,x284),x281)),
% 0.21/0.65 inference(scs_inference,[],[12,14,13,19,22,10,2,16,15,8,3])).
% 0.21/0.65 cnf(55,plain,
% 0.21/0.65 (E(f5(f2(x551,a3,a4)),x551)),
% 0.21/0.65 inference(scs_inference,[],[14,21,17])).
% 0.21/0.65 cnf(60,plain,
% 0.21/0.65 (~E(f5(f2(x601,x602,a4)),a1)),
% 0.21/0.65 inference(scs_inference,[],[14,27,21,17,28,2])).
% 0.21/0.65 cnf(62,plain,
% 0.21/0.65 ($false),
% 0.21/0.65 inference(scs_inference,[],[55,60]),
% 0.21/0.65 ['proof']).
% 0.21/0.65 % SZS output end Proof
% 0.21/0.65 % Total time :0.000000s
%------------------------------------------------------------------------------