TSTP Solution File: SET628+3 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SET628+3 : TPTP v8.1.2. Released v2.2.0.
% 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 14:30:28 EDT 2023
% Result : Theorem 0.17s 0.57s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SET628+3 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.11/0.31 % Computer : n032.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Sat Aug 26 15:01:59 EDT 2023
% 0.11/0.32 % CPUTime :
% 0.17/0.50 start to proof:theBenchmark
% 0.17/0.57 %-------------------------------------------
% 0.17/0.57 % File :CSE---1.6
% 0.17/0.57 % Problem :theBenchmark
% 0.17/0.57 % Transform :cnf
% 0.17/0.57 % Format :tptp:raw
% 0.17/0.57 % Command :java -jar mcs_scs.jar %d %s
% 0.17/0.57
% 0.17/0.57 % Result :Theorem 0.020000s
% 0.17/0.57 % Output :CNFRefutation 0.020000s
% 0.17/0.57 %-------------------------------------------
% 0.17/0.57 %--------------------------------------------------------------------------
% 0.17/0.57 % File : SET628+3 : TPTP v8.1.2. Released v2.2.0.
% 0.17/0.57 % Domain : Set Theory
% 0.17/0.57 % Problem : X intersects X iff X is not the empty set
% 0.17/0.57 % Version : [Try90] axioms : Reduced > Incomplete.
% 0.17/0.57 % English :
% 0.17/0.57
% 0.17/0.57 % Refs : [ILF] The ILF Group (1998), The ILF System: A Tool for the Int
% 0.17/0.57 % : [Try90] Trybulec (1990), Tarski Grothendieck Set Theory
% 0.17/0.57 % : [TS89] Trybulec & Swieczkowska (1989), Boolean Properties of
% 0.17/0.57 % Source : [ILF]
% 0.17/0.57 % Names : BOOLE (110) [TS89]
% 0.17/0.57
% 0.17/0.57 % Status : Theorem
% 0.17/0.57 % Rating : 0.17 v8.1.0, 0.08 v7.5.0, 0.09 v7.4.0, 0.10 v7.2.0, 0.07 v7.1.0, 0.04 v7.0.0, 0.03 v6.4.0, 0.08 v6.1.0, 0.10 v6.0.0, 0.13 v5.5.0, 0.11 v5.3.0, 0.19 v5.2.0, 0.05 v5.0.0, 0.08 v4.1.0, 0.09 v4.0.1, 0.13 v4.0.0, 0.12 v3.7.0, 0.14 v3.5.0, 0.00 v3.4.0, 0.08 v3.3.0, 0.11 v3.2.0, 0.33 v3.1.0, 0.17 v2.7.0, 0.00 v2.5.0, 0.33 v2.4.0, 0.33 v2.2.1
% 0.17/0.57 % Syntax : Number of formulae : 7 ( 1 unt; 0 def)
% 0.17/0.57 % Number of atoms : 15 ( 2 equ)
% 0.17/0.57 % Maximal formula atoms : 3 ( 2 avg)
% 0.17/0.57 % Number of connectives : 11 ( 3 ~; 0 |; 1 &)
% 0.17/0.57 % ( 6 <=>; 1 =>; 0 <=; 0 <~>)
% 0.17/0.57 % Maximal formula depth : 6 ( 5 avg)
% 0.17/0.57 % Maximal term depth : 1 ( 1 avg)
% 0.17/0.57 % Number of predicates : 5 ( 4 usr; 0 prp; 1-2 aty)
% 0.17/0.57 % Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% 0.17/0.57 % Number of variables : 14 ( 13 !; 1 ?)
% 0.17/0.57 % SPC : FOF_THM_RFO_SEQ
% 0.17/0.57
% 0.17/0.57 % Comments :
% 0.17/0.57 %--------------------------------------------------------------------------
% 0.17/0.57 %---- line(boole - df(5),1833080)
% 0.17/0.57 fof(intersect_defn,axiom,
% 0.17/0.57 ! [B,C] :
% 0.17/0.57 ( intersect(B,C)
% 0.17/0.57 <=> ? [D] :
% 0.17/0.57 ( member(D,B)
% 0.17/0.57 & member(D,C) ) ) ).
% 0.17/0.57
% 0.17/0.57 %---- line(hidden - axiom194,1832636)
% 0.17/0.57 fof(empty_set_defn,axiom,
% 0.17/0.57 ! [B] : ~ member(B,empty_set) ).
% 0.17/0.57
% 0.17/0.57 %---- line(hidden - axiom195,1832615)
% 0.17/0.57 fof(equal_member_defn,axiom,
% 0.17/0.57 ! [B,C] :
% 0.17/0.57 ( B = C
% 0.17/0.57 <=> ! [D] :
% 0.17/0.57 ( member(D,B)
% 0.17/0.57 <=> member(D,C) ) ) ).
% 0.17/0.57
% 0.17/0.57 %---- line(hidden - axiom196,1832619)
% 0.17/0.57 fof(not_equal_defn,axiom,
% 0.17/0.57 ! [B,C] :
% 0.17/0.57 ( not_equal(B,C)
% 0.17/0.57 <=> B != C ) ).
% 0.17/0.57
% 0.17/0.57 %---- property(symmetry,op(intersect,2,predicate))
% 0.17/0.57 fof(symmetry_of_intersect,axiom,
% 0.17/0.57 ! [B,C] :
% 0.17/0.57 ( intersect(B,C)
% 0.17/0.57 => intersect(C,B) ) ).
% 0.17/0.57
% 0.17/0.57 %---- line(hidden - axiom198,1832628)
% 0.17/0.57 fof(empty_defn,axiom,
% 0.17/0.57 ! [B] :
% 0.17/0.57 ( empty(B)
% 0.17/0.57 <=> ! [C] : ~ member(C,B) ) ).
% 0.17/0.57
% 0.17/0.57 %---- line(boole - th(110),1834348)
% 0.17/0.57 fof(prove_th110,conjecture,
% 0.17/0.57 ! [B] :
% 0.17/0.57 ( intersect(B,B)
% 0.17/0.57 <=> not_equal(B,empty_set) ) ).
% 0.17/0.57
% 0.17/0.57 %--------------------------------------------------------------------------
% 0.17/0.57 %-------------------------------------------
% 0.17/0.57 % Proof found
% 0.17/0.57 % SZS status Theorem for theBenchmark
% 0.17/0.57 % SZS output start Proof
% 0.17/0.57 %ClaNum:28(EqnAxiom:15)
% 0.17/0.57 %VarNum:51(SingletonVarNum:21)
% 0.17/0.57 %MaxLitNum:3
% 0.17/0.57 %MaxfuncDepth:1
% 0.17/0.57 %SharedTerms:6
% 0.17/0.57 %goalClause: 18 22
% 0.17/0.57 [16]~P1(x161,a1)
% 0.17/0.57 [18]P2(a2,a2)+P4(a2,a1)
% 0.17/0.57 [22]~P2(a2,a2)+~P4(a2,a1)
% 0.17/0.57 [19]P3(x191)+P1(f3(x191),x191)
% 0.17/0.57 [17]P4(x171,x172)+E(x171,x172)
% 0.17/0.57 [20]~P4(x201,x202)+~E(x201,x202)
% 0.17/0.57 [21]~P3(x211)+~P1(x212,x211)
% 0.17/0.57 [23]~P2(x232,x231)+P2(x231,x232)
% 0.17/0.57 [25]~P2(x251,x252)+P1(f4(x251,x252),x252)
% 0.17/0.57 [26]~P2(x261,x262)+P1(f4(x261,x262),x261)
% 0.17/0.57 [27]E(x271,x272)+P1(f5(x271,x272),x272)+P1(f5(x271,x272),x271)
% 0.17/0.57 [28]E(x281,x282)+~P1(f5(x281,x282),x282)+~P1(f5(x281,x282),x281)
% 0.17/0.57 [24]~P1(x243,x241)+P2(x241,x242)+~P1(x243,x242)
% 0.17/0.57 %EqnAxiom
% 0.17/0.57 [1]E(x11,x11)
% 0.17/0.57 [2]E(x22,x21)+~E(x21,x22)
% 0.17/0.57 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.17/0.57 [4]~E(x41,x42)+E(f3(x41),f3(x42))
% 0.17/0.57 [5]~E(x51,x52)+E(f4(x51,x53),f4(x52,x53))
% 0.17/0.57 [6]~E(x61,x62)+E(f4(x63,x61),f4(x63,x62))
% 0.17/0.57 [7]~E(x71,x72)+E(f5(x71,x73),f5(x72,x73))
% 0.17/0.57 [8]~E(x81,x82)+E(f5(x83,x81),f5(x83,x82))
% 0.17/0.57 [9]P1(x92,x93)+~E(x91,x92)+~P1(x91,x93)
% 0.17/0.57 [10]P1(x103,x102)+~E(x101,x102)+~P1(x103,x101)
% 0.17/0.57 [11]P4(x112,x113)+~E(x111,x112)+~P4(x111,x113)
% 0.17/0.57 [12]P4(x123,x122)+~E(x121,x122)+~P4(x123,x121)
% 0.17/0.57 [13]P2(x132,x133)+~E(x131,x132)+~P2(x131,x133)
% 0.17/0.57 [14]P2(x143,x142)+~E(x141,x142)+~P2(x143,x141)
% 0.17/0.57 [15]~P3(x151)+P3(x152)+~E(x151,x152)
% 0.17/0.57
% 0.17/0.57 %-------------------------------------------
% 0.17/0.58 cnf(30,plain,
% 0.17/0.58 (~P1(x301,a1)),
% 0.17/0.58 inference(rename_variables,[],[16])).
% 0.17/0.58 cnf(31,plain,
% 0.17/0.58 (~P2(a1,x311)),
% 0.17/0.58 inference(scs_inference,[],[16,30,19,26])).
% 0.17/0.58 cnf(45,plain,
% 0.17/0.58 (~E(a2,a1)+P4(a2,a1)),
% 0.17/0.58 inference(scs_inference,[],[31,13,18])).
% 0.17/0.58 cnf(53,plain,
% 0.17/0.58 (P4(x531,x532)+E(f4(x531,x533),f4(x532,x533))),
% 0.17/0.58 inference(scs_inference,[],[17,5])).
% 0.17/0.58 cnf(62,plain,
% 0.17/0.58 (~E(a1,a2)+P4(a2,a1)),
% 0.17/0.58 inference(scs_inference,[],[45,2])).
% 0.17/0.58 cnf(63,plain,
% 0.17/0.58 (~E(a2,a1)+~E(a1,a2)),
% 0.17/0.58 inference(scs_inference,[],[62,20])).
% 0.17/0.58 cnf(64,plain,
% 0.17/0.58 (~E(a1,a2)),
% 0.17/0.58 inference(scs_inference,[],[63,2])).
% 0.17/0.58 cnf(78,plain,
% 0.17/0.58 (~E(a2,a1)),
% 0.17/0.58 inference(scs_inference,[],[64,16,17,27,21,24,19,26,2])).
% 0.17/0.58 cnf(79,plain,
% 0.17/0.58 (~P4(a2,a1)),
% 0.17/0.58 inference(scs_inference,[],[64,16,17,27,21,24,19,26,2,22])).
% 0.17/0.58 cnf(81,plain,
% 0.17/0.58 (E(f4(a2,x811),f4(a1,x811))),
% 0.17/0.58 inference(scs_inference,[],[64,16,17,27,21,24,19,26,2,22,3,53])).
% 0.17/0.58 cnf(93,plain,
% 0.17/0.58 ($false),
% 0.17/0.58 inference(scs_inference,[],[78,81,79,16,20,27,17]),
% 0.17/0.58 ['proof']).
% 0.17/0.58 % SZS output end Proof
% 0.17/0.58 % Total time :0.020000s
%------------------------------------------------------------------------------