TSTP Solution File: SET821-2 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SET821-2 : 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 : n032.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 0.13s 0.55s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SET821-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.09 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.08/0.29 % Computer : n032.cluster.edu
% 0.08/0.29 % Model : x86_64 x86_64
% 0.08/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.29 % Memory : 8042.1875MB
% 0.08/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.29 % CPULimit : 300
% 0.08/0.29 % WCLimit : 300
% 0.08/0.29 % DateTime : Sat Aug 26 14:59:13 EDT 2023
% 0.08/0.29 % CPUTime :
% 0.13/0.47 start to proof:theBenchmark
% 0.13/0.54 %-------------------------------------------
% 0.13/0.54 % File :CSE---1.6
% 0.13/0.54 % Problem :theBenchmark
% 0.13/0.54 % Transform :cnf
% 0.13/0.54 % Format :tptp:raw
% 0.13/0.54 % Command :java -jar mcs_scs.jar %d %s
% 0.13/0.54
% 0.13/0.54 % Result :Theorem 0.020000s
% 0.13/0.54 % Output :CNFRefutation 0.020000s
% 0.13/0.54 %-------------------------------------------
% 0.13/0.54 %------------------------------------------------------------------------------
% 0.13/0.54 % File : SET821-2 : TPTP v8.1.2. Released v3.2.0.
% 0.13/0.54 % Domain : Set Theory
% 0.13/0.54 % Problem : Problem about set theory
% 0.13/0.54 % Version : [Pau06] axioms : Reduced > Especial.
% 0.13/0.54 % English :
% 0.13/0.54
% 0.13/0.54 % Refs : [Pau06] Paulson (2006), Email to G. Sutcliffe
% 0.13/0.54 % Source : [Pau06]
% 0.13/0.54 % Names :
% 0.13/0.54
% 0.13/0.54 % Status : Unsatisfiable
% 0.13/0.54 % Rating : 0.14 v8.1.0, 0.05 v7.5.0, 0.11 v7.4.0, 0.12 v7.3.0, 0.25 v7.1.0, 0.17 v7.0.0, 0.27 v6.4.0, 0.20 v6.3.0, 0.18 v6.2.0, 0.20 v6.1.0, 0.21 v6.0.0, 0.20 v5.5.0, 0.25 v5.4.0, 0.30 v5.3.0, 0.33 v5.2.0, 0.25 v5.1.0, 0.29 v4.1.0, 0.38 v4.0.1, 0.45 v3.7.0, 0.20 v3.5.0, 0.27 v3.4.0, 0.33 v3.3.0, 0.43 v3.2.0
% 0.13/0.54 % Syntax : Number of clauses : 10 ( 4 unt; 3 nHn; 7 RR)
% 0.13/0.54 % Number of literals : 18 ( 1 equ; 7 neg)
% 0.13/0.55 % Maximal clause size : 3 ( 1 avg)
% 0.13/0.55 % Maximal term depth : 3 ( 1 avg)
% 0.13/0.55 % Number of predicates : 4 ( 3 usr; 0 prp; 1-3 aty)
% 0.13/0.55 % Number of functors : 7 ( 7 usr; 4 con; 0-3 aty)
% 0.13/0.55 % Number of variables : 20 ( 2 sgn)
% 0.13/0.55 % SPC : CNF_UNS_RFO_SEQ_NHN
% 0.13/0.55
% 0.13/0.55 % Comments : The problems in the [Pau06] collection each have very many axioms,
% 0.13/0.55 % of which only a small selection are required for the refutation.
% 0.13/0.55 % The mission is to find those few axioms, after which a refutation
% 0.13/0.55 % can be quite easily found. This version has only the necessary
% 0.13/0.55 % axioms.
% 0.13/0.55 %------------------------------------------------------------------------------
% 0.13/0.55 cnf(cls_Orderings_Oorder__less__irrefl__iff1_0,axiom,
% 0.13/0.55 ( ~ class_Orderings_Oorder(T_a)
% 0.13/0.55 | ~ c_less(V_x,V_x,T_a) ) ).
% 0.13/0.55
% 0.13/0.55 cnf(cls_Set_OComplD__dest_0,axiom,
% 0.13/0.55 ( ~ c_in(V_c,V_A,T_a)
% 0.13/0.55 | ~ c_in(V_c,c_uminus(V_A,tc_set(T_a)),T_a) ) ).
% 0.13/0.55
% 0.13/0.55 cnf(cls_Set_OComplI_0,axiom,
% 0.13/0.55 ( c_in(V_c,V_A,T_a)
% 0.13/0.55 | c_in(V_c,c_uminus(V_A,tc_set(T_a)),T_a) ) ).
% 0.13/0.55
% 0.13/0.55 cnf(cls_Set_OinsertCI_0,axiom,
% 0.13/0.55 ( ~ c_in(V_a,V_B,T_a)
% 0.13/0.55 | c_in(V_a,c_insert(V_b,V_B,T_a),T_a) ) ).
% 0.13/0.55
% 0.13/0.55 cnf(cls_Set_OinsertCI_1,axiom,
% 0.13/0.55 c_in(V_x,c_insert(V_x,V_B,T_a),T_a) ).
% 0.13/0.55
% 0.13/0.55 cnf(cls_Set_OinsertE_0,axiom,
% 0.13/0.55 ( ~ c_in(V_a,c_insert(V_b,V_A,T_a),T_a)
% 0.13/0.55 | c_in(V_a,V_A,T_a)
% 0.13/0.55 | V_a = V_b ) ).
% 0.13/0.55
% 0.13/0.55 cnf(cls_conjecture_0,negated_conjecture,
% 0.13/0.55 c_less(v_a,v_b,tc_IntDef_Oint) ).
% 0.13/0.55
% 0.13/0.55 cnf(cls_conjecture_1,negated_conjecture,
% 0.13/0.55 c_less(v_b,v_c,tc_IntDef_Oint) ).
% 0.13/0.55
% 0.13/0.55 cnf(cls_conjecture_2,negated_conjecture,
% 0.13/0.55 ( c_in(v_c,V_U,tc_IntDef_Oint)
% 0.13/0.55 | ~ c_in(v_b,V_U,tc_IntDef_Oint)
% 0.13/0.55 | c_in(v_a,V_U,tc_IntDef_Oint) ) ).
% 0.13/0.55
% 0.13/0.55 cnf(clsarity_IntDef__Oint_31,axiom,
% 0.13/0.55 class_Orderings_Oorder(tc_IntDef_Oint) ).
% 0.13/0.55
% 0.13/0.55 %------------------------------------------------------------------------------
% 0.13/0.55 %-------------------------------------------
% 0.13/0.55 % Proof found
% 0.13/0.55 % SZS status Theorem for theBenchmark
% 0.13/0.55 % SZS output start Proof
% 0.13/0.55 %ClaNum:26(EqnAxiom:16)
% 0.13/0.55 %VarNum:44(SingletonVarNum:20)
% 0.13/0.55 %MaxLitNum:3
% 0.13/0.55 %MaxfuncDepth:2
% 0.13/0.55 %SharedTerms:7
% 0.13/0.55 %goalClause: 18 19 23
% 0.13/0.55 %singleGoalClaCount:2
% 0.13/0.55 [17]P1(a1)
% 0.13/0.55 [18]P2(a4,a6,a1)
% 0.13/0.55 [19]P2(a6,a7,a1)
% 0.13/0.55 [20]P3(x201,f2(x201,x202,x203),x203)
% 0.13/0.55 [21]~P2(x212,x212,x211)+~P1(x211)
% 0.13/0.55 [22]P3(x221,x222,x223)+P3(x221,f3(x222,f5(x223)),x223)
% 0.13/0.55 [24]~P3(x241,x242,x243)+~P3(x241,f3(x242,f5(x243)),x243)
% 0.13/0.55 [25]~P3(x251,x253,x254)+P3(x251,f2(x252,x253,x254),x254)
% 0.13/0.55 [23]P3(a7,x231,a1)+~P3(a6,x231,a1)+P3(a4,x231,a1)
% 0.13/0.55 [26]E(x261,x262)+P3(x261,x263,x264)+~P3(x261,f2(x262,x263,x264),x264)
% 0.13/0.55 %EqnAxiom
% 0.13/0.55 [1]E(x11,x11)
% 0.13/0.55 [2]E(x22,x21)+~E(x21,x22)
% 0.13/0.55 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.13/0.55 [4]~E(x41,x42)+E(f2(x41,x43,x44),f2(x42,x43,x44))
% 0.13/0.55 [5]~E(x51,x52)+E(f2(x53,x51,x54),f2(x53,x52,x54))
% 0.13/0.55 [6]~E(x61,x62)+E(f2(x63,x64,x61),f2(x63,x64,x62))
% 0.13/0.55 [7]~E(x71,x72)+E(f5(x71),f5(x72))
% 0.13/0.55 [8]~E(x81,x82)+E(f3(x81,x83),f3(x82,x83))
% 0.13/0.55 [9]~E(x91,x92)+E(f3(x93,x91),f3(x93,x92))
% 0.13/0.55 [10]~P1(x101)+P1(x102)+~E(x101,x102)
% 0.13/0.55 [11]P2(x112,x113,x114)+~E(x111,x112)+~P2(x111,x113,x114)
% 0.13/0.55 [12]P2(x123,x122,x124)+~E(x121,x122)+~P2(x123,x121,x124)
% 0.13/0.55 [13]P2(x133,x134,x132)+~E(x131,x132)+~P2(x133,x134,x131)
% 0.13/0.55 [14]P3(x142,x143,x144)+~E(x141,x142)+~P3(x141,x143,x144)
% 0.13/0.55 [15]P3(x153,x152,x154)+~E(x151,x152)+~P3(x153,x151,x154)
% 0.13/0.55 [16]P3(x163,x164,x162)+~E(x161,x162)+~P3(x163,x164,x161)
% 0.13/0.55
% 0.13/0.55 %-------------------------------------------
% 0.13/0.55 cnf(27,plain,
% 0.13/0.55 (~P2(x271,x271,a1)),
% 0.13/0.55 inference(scs_inference,[],[17,21])).
% 0.13/0.55 cnf(28,plain,
% 0.13/0.55 (~E(a6,a4)),
% 0.13/0.55 inference(scs_inference,[],[18,17,21,12])).
% 0.13/0.55 cnf(30,plain,
% 0.13/0.55 (P3(x301,f2(x302,f2(x301,x303,x304),x304),x304)),
% 0.13/0.55 inference(scs_inference,[],[18,17,20,21,12,2,25])).
% 0.13/0.55 cnf(32,plain,
% 0.13/0.55 (~P3(x321,f3(f2(x321,x322,x323),f5(x323)),x323)),
% 0.13/0.55 inference(scs_inference,[],[18,17,20,21,12,2,25,24])).
% 0.13/0.55 cnf(41,plain,
% 0.13/0.55 (~E(a6,a7)),
% 0.13/0.55 inference(scs_inference,[],[19,27,11])).
% 0.13/0.55 cnf(49,plain,
% 0.13/0.55 (~E(f2(x491,x492,x493),f3(f2(x491,x494,x493),f5(x493)))),
% 0.13/0.55 inference(scs_inference,[],[20,32,15])).
% 0.13/0.55 cnf(62,plain,
% 0.13/0.55 (~P3(a6,f3(f2(a4,x621,a1),f5(a1)),a1)+P3(a7,f3(f2(a4,x621,a1),f5(a1)),a1)),
% 0.13/0.55 inference(scs_inference,[],[17,20,32,10,14,23])).
% 0.13/0.55 cnf(68,plain,
% 0.13/0.55 (~P3(x681,f3(f2(x682,f2(x681,x683,x684),x684),f5(x684)),x684)),
% 0.13/0.55 inference(scs_inference,[],[28,30,3,24])).
% 0.13/0.55 cnf(71,plain,
% 0.13/0.55 (~P3(a6,f3(f2(a7,f2(a4,x711,a1),a1),f5(a1)),a1)),
% 0.13/0.55 inference(scs_inference,[],[28,49,30,32,3,24,2,23])).
% 0.13/0.55 cnf(80,plain,
% 0.13/0.55 (~P3(a6,f3(f2(a4,f2(a7,x801,a1),a1),f5(a1)),a1)),
% 0.13/0.55 inference(scs_inference,[],[68,62])).
% 0.13/0.55 cnf(85,plain,
% 0.13/0.55 (P3(a6,f2(a4,x851,a1),a1)),
% 0.13/0.55 inference(scs_inference,[],[68,41,71,62,22,26])).
% 0.13/0.55 cnf(96,plain,
% 0.13/0.55 ($false),
% 0.13/0.55 inference(scs_inference,[],[28,80,85,26]),
% 0.13/0.55 ['proof']).
% 0.13/0.55 % SZS output end Proof
% 0.13/0.55 % Total time :0.020000s
%------------------------------------------------------------------------------