TSTP Solution File: SET978+1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SET978+1 : 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 : n001.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 14:31:52 EDT 2023
% Result : Theorem 0.13s 0.53s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : SET978+1 : 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
% 0.08/0.28 % Computer : n001.cluster.edu
% 0.08/0.28 % Model : x86_64 x86_64
% 0.08/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28 % Memory : 8042.1875MB
% 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28 % CPULimit : 300
% 0.08/0.28 % WCLimit : 300
% 0.08/0.28 % DateTime : Sat Aug 26 08:47:45 EDT 2023
% 0.08/0.29 % CPUTime :
% 0.13/0.48 start to proof:theBenchmark
% 0.13/0.52 %-------------------------------------------
% 0.13/0.52 % File :CSE---1.6
% 0.13/0.52 % Problem :theBenchmark
% 0.13/0.52 % Transform :cnf
% 0.13/0.52 % Format :tptp:raw
% 0.13/0.52 % Command :java -jar mcs_scs.jar %d %s
% 0.13/0.52
% 0.13/0.52 % Result :Theorem 0.000000s
% 0.13/0.52 % Output :CNFRefutation 0.000000s
% 0.13/0.52 %-------------------------------------------
% 0.13/0.53 %------------------------------------------------------------------------------
% 0.13/0.53 % File : SET978+1 : TPTP v8.1.2. Released v3.2.0.
% 0.13/0.53 % Domain : Set theory
% 0.13/0.53 % Problem : Basic properties of sets, theorem 131
% 0.13/0.53 % Version : [Urb06] axioms : Especial.
% 0.13/0.53 % English :
% 0.13/0.53
% 0.13/0.53 % Refs : [Byl90] Bylinski (1990), Some Basic Properties of Sets
% 0.13/0.53 % : [Urb06] Urban (2006), Email to G. Sutcliffe
% 0.13/0.53 % Source : [Urb06]
% 0.13/0.53 % Names : zfmisc_1__t131_zfmisc_1 [Urb06]
% 0.13/0.53
% 0.13/0.53 % Status : Theorem
% 0.13/0.53 % Rating : 0.03 v7.2.0, 0.00 v6.4.0, 0.04 v6.3.0, 0.08 v6.1.0, 0.07 v6.0.0, 0.04 v5.5.0, 0.00 v5.4.0, 0.07 v5.3.0, 0.11 v5.2.0, 0.00 v5.0.0, 0.04 v3.7.0, 0.05 v3.4.0, 0.00 v3.2.0
% 0.13/0.53 % Syntax : Number of formulae : 6 ( 2 unt; 0 def)
% 0.13/0.53 % Number of atoms : 12 ( 2 equ)
% 0.13/0.53 % Maximal formula atoms : 3 ( 2 avg)
% 0.13/0.53 % Number of connectives : 9 ( 3 ~; 1 |; 1 &)
% 0.13/0.53 % ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% 0.13/0.53 % Maximal formula depth : 7 ( 5 avg)
% 0.13/0.53 % Maximal term depth : 3 ( 1 avg)
% 0.13/0.53 % Number of predicates : 3 ( 2 usr; 0 prp; 1-2 aty)
% 0.13/0.53 % Number of functors : 2 ( 2 usr; 0 con; 1-2 aty)
% 0.13/0.53 % Number of variables : 14 ( 12 !; 2 ?)
% 0.13/0.53 % SPC : FOF_THM_RFO_SEQ
% 0.13/0.53
% 0.13/0.53 % Comments : Translated by MPTP 0.2 from the original problem in the Mizar
% 0.13/0.53 % library, www.mizar.org
% 0.13/0.53 %------------------------------------------------------------------------------
% 0.13/0.53 fof(rc1_xboole_0,axiom,
% 0.13/0.53 ? [A] : empty(A) ).
% 0.13/0.53
% 0.13/0.53 fof(rc2_xboole_0,axiom,
% 0.13/0.53 ? [A] : ~ empty(A) ).
% 0.13/0.53
% 0.13/0.53 fof(symmetry_r1_xboole_0,axiom,
% 0.13/0.53 ! [A,B] :
% 0.13/0.53 ( disjoint(A,B)
% 0.13/0.53 => disjoint(B,A) ) ).
% 0.13/0.53
% 0.13/0.53 fof(t127_zfmisc_1,axiom,
% 0.13/0.53 ! [A,B,C,D] :
% 0.13/0.53 ( ( disjoint(A,B)
% 0.13/0.53 | disjoint(C,D) )
% 0.13/0.53 => disjoint(cartesian_product2(A,C),cartesian_product2(B,D)) ) ).
% 0.13/0.53
% 0.13/0.53 fof(t131_zfmisc_1,conjecture,
% 0.13/0.53 ! [A,B,C,D] :
% 0.13/0.53 ( A != B
% 0.13/0.53 => ( disjoint(cartesian_product2(singleton(A),C),cartesian_product2(singleton(B),D))
% 0.13/0.53 & disjoint(cartesian_product2(C,singleton(A)),cartesian_product2(D,singleton(B))) ) ) ).
% 0.13/0.53
% 0.13/0.53 fof(t17_zfmisc_1,axiom,
% 0.13/0.53 ! [A,B] :
% 0.13/0.53 ( A != B
% 0.13/0.53 => disjoint(singleton(A),singleton(B)) ) ).
% 0.13/0.53
% 0.13/0.53 %------------------------------------------------------------------------------
% 0.13/0.53 %-------------------------------------------
% 0.13/0.53 % Proof found
% 0.13/0.53 % SZS status Theorem for theBenchmark
% 0.13/0.53 % SZS output start Proof
% 0.13/0.53 %ClaNum:17(EqnAxiom:9)
% 0.13/0.53 %VarNum:20(SingletonVarNum:12)
% 0.13/0.53 %MaxLitNum:2
% 0.13/0.53 %MaxfuncDepth:2
% 0.13/0.53 %SharedTerms:17
% 0.13/0.53 %goalClause: 11 17
% 0.13/0.53 %singleGoalClaCount:1
% 0.13/0.53 [10]P1(a1)
% 0.13/0.53 [11]~E(a3,a5)
% 0.13/0.53 [12]~P1(a4)
% 0.13/0.53 [17]~P2(f2(a7,f6(a3)),f2(a8,f6(a5)))+~P2(f2(f6(a3),a7),f2(f6(a5),a8))
% 0.13/0.53 [14]~P2(x142,x141)+P2(x141,x142)
% 0.13/0.53 [13]E(x131,x132)+P2(f6(x131),f6(x132))
% 0.13/0.53 [15]~P2(x152,x154)+P2(f2(x151,x152),f2(x153,x154))
% 0.13/0.53 [16]~P2(x161,x163)+P2(f2(x161,x162),f2(x163,x164))
% 0.13/0.53 %EqnAxiom
% 0.13/0.53 [1]E(x11,x11)
% 0.13/0.53 [2]E(x22,x21)+~E(x21,x22)
% 0.13/0.53 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.13/0.53 [4]~E(x41,x42)+E(f6(x41),f6(x42))
% 0.13/0.53 [5]~E(x51,x52)+E(f2(x51,x53),f2(x52,x53))
% 0.13/0.53 [6]~E(x61,x62)+E(f2(x63,x61),f2(x63,x62))
% 0.13/0.53 [7]~P1(x71)+P1(x72)+~E(x71,x72)
% 0.13/0.53 [8]P2(x82,x83)+~E(x81,x82)+~P2(x81,x83)
% 0.13/0.53 [9]P2(x93,x92)+~E(x91,x92)+~P2(x93,x91)
% 0.13/0.53
% 0.13/0.53 %-------------------------------------------
% 0.13/0.53 cnf(19,plain,
% 0.13/0.53 (P2(f6(a3),f6(a5))),
% 0.13/0.53 inference(scs_inference,[],[11,2,13])).
% 0.13/0.53 cnf(29,plain,
% 0.13/0.53 ($false),
% 0.13/0.53 inference(scs_inference,[],[19,14,16,15,17]),
% 0.13/0.53 ['proof']).
% 0.13/0.53 % SZS output end Proof
% 0.13/0.53 % Total time :0.000000s
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