TSTP Solution File: SET917+1 by CSE---1.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SET917+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n011.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 14:31:41 EDT 2023
% Result : Theorem 0.21s 0.62s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET917+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.14/0.34 % Computer : n011.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sat Aug 26 12:13:54 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.57 start to proof:theBenchmark
% 0.21/0.61 %-------------------------------------------
% 0.21/0.61 % File :CSE---1.6
% 0.21/0.61 % Problem :theBenchmark
% 0.21/0.61 % Transform :cnf
% 0.21/0.61 % Format :tptp:raw
% 0.21/0.61 % Command :java -jar mcs_scs.jar %d %s
% 0.21/0.61
% 0.21/0.61 % Result :Theorem 0.000000s
% 0.21/0.61 % Output :CNFRefutation 0.000000s
% 0.21/0.61 %-------------------------------------------
% 0.21/0.62 %------------------------------------------------------------------------------
% 0.21/0.62 % File : SET917+1 : TPTP v8.1.2. Released v3.2.0.
% 0.21/0.62 % Domain : Set theory
% 0.21/0.62 % Problem : disjoint(sgtn(A),B) | intersection(sgtn(A),B) = sgtn(A)
% 0.21/0.62 % Version : [Urb06] axioms : Especial.
% 0.21/0.62 % English :
% 0.21/0.62
% 0.21/0.62 % Refs : [Byl90] Bylinski (1990), Some Basic Properties of Sets
% 0.21/0.62 % : [Urb06] Urban (2006), Email to G. Sutcliffe
% 0.21/0.62 % Source : [Urb06]
% 0.21/0.62 % Names : zfmisc_1__t58_zfmisc_1 [Urb06]
% 0.21/0.62
% 0.21/0.62 % Status : Theorem
% 0.21/0.62 % Rating : 0.11 v8.1.0, 0.08 v7.5.0, 0.09 v7.4.0, 0.10 v7.2.0, 0.07 v7.1.0, 0.09 v7.0.0, 0.07 v6.4.0, 0.12 v6.3.0, 0.08 v6.1.0, 0.07 v6.0.0, 0.00 v5.5.0, 0.04 v5.3.0, 0.11 v5.2.0, 0.05 v5.0.0, 0.08 v4.1.0, 0.09 v4.0.0, 0.08 v3.7.0, 0.05 v3.4.0, 0.11 v3.3.0, 0.14 v3.2.0
% 0.21/0.62 % Syntax : Number of formulae : 9 ( 4 unt; 0 def)
% 0.21/0.62 % Number of atoms : 14 ( 4 equ)
% 0.21/0.62 % Maximal formula atoms : 2 ( 1 avg)
% 0.21/0.62 % Number of connectives : 8 ( 3 ~; 1 |; 0 &)
% 0.21/0.62 % ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% 0.21/0.62 % Maximal formula depth : 5 ( 4 avg)
% 0.21/0.62 % Maximal term depth : 3 ( 1 avg)
% 0.21/0.62 % Number of predicates : 4 ( 3 usr; 0 prp; 1-2 aty)
% 0.21/0.62 % Number of functors : 2 ( 2 usr; 0 con; 1-2 aty)
% 0.21/0.62 % Number of variables : 16 ( 14 !; 2 ?)
% 0.21/0.62 % SPC : FOF_THM_RFO_SEQ
% 0.21/0.62
% 0.21/0.62 % Comments : Translated by MPTP 0.2 from the original problem in the Mizar
% 0.21/0.62 % library, www.mizar.org
% 0.21/0.62 %------------------------------------------------------------------------------
% 0.21/0.62 fof(antisymmetry_r2_hidden,axiom,
% 0.21/0.62 ! [A,B] :
% 0.21/0.62 ( in(A,B)
% 0.21/0.62 => ~ in(B,A) ) ).
% 0.21/0.62
% 0.21/0.62 fof(commutativity_k3_xboole_0,axiom,
% 0.21/0.62 ! [A,B] : set_intersection2(A,B) = set_intersection2(B,A) ).
% 0.21/0.62
% 0.21/0.62 fof(idempotence_k3_xboole_0,axiom,
% 0.21/0.62 ! [A,B] : set_intersection2(A,A) = A ).
% 0.21/0.62
% 0.21/0.62 fof(l28_zfmisc_1,axiom,
% 0.21/0.62 ! [A,B] :
% 0.21/0.62 ( ~ in(A,B)
% 0.21/0.62 => disjoint(singleton(A),B) ) ).
% 0.21/0.62
% 0.21/0.62 fof(l32_zfmisc_1,axiom,
% 0.21/0.62 ! [A,B] :
% 0.21/0.62 ( in(A,B)
% 0.21/0.62 => set_intersection2(B,singleton(A)) = singleton(A) ) ).
% 0.21/0.62
% 0.21/0.62 fof(rc1_xboole_0,axiom,
% 0.21/0.62 ? [A] : empty(A) ).
% 0.21/0.62
% 0.21/0.62 fof(rc2_xboole_0,axiom,
% 0.21/0.62 ? [A] : ~ empty(A) ).
% 0.21/0.62
% 0.21/0.62 fof(symmetry_r1_xboole_0,axiom,
% 0.21/0.62 ! [A,B] :
% 0.21/0.62 ( disjoint(A,B)
% 0.21/0.62 => disjoint(B,A) ) ).
% 0.21/0.62
% 0.21/0.62 fof(t58_zfmisc_1,conjecture,
% 0.21/0.62 ! [A,B] :
% 0.21/0.62 ( disjoint(singleton(A),B)
% 0.21/0.62 | set_intersection2(singleton(A),B) = singleton(A) ) ).
% 0.21/0.62
% 0.21/0.62 %------------------------------------------------------------------------------
% 0.21/0.62 %-------------------------------------------
% 0.21/0.62 % Proof found
% 0.21/0.62 % SZS status Theorem for theBenchmark
% 0.21/0.62 % SZS output start Proof
% 0.21/0.62 %ClaNum:21(EqnAxiom:11)
% 0.21/0.62 %VarNum:24(SingletonVarNum:11)
% 0.21/0.62 %MaxLitNum:2
% 0.21/0.62 %MaxfuncDepth:2
% 0.21/0.62 %SharedTerms:10
% 0.21/0.62 %goalClause: 16 17
% 0.21/0.62 %singleGoalClaCount:2
% 0.21/0.62 [12]P1(a1)
% 0.21/0.62 [15]~P1(a3)
% 0.21/0.62 [16]~P2(f6(a4),a5)
% 0.21/0.62 [17]~E(f2(f6(a4),a5),f6(a4))
% 0.21/0.62 [13]E(f2(x131,x131),x131)
% 0.21/0.62 [14]E(f2(x141,x142),f2(x142,x141))
% 0.21/0.62 [19]~P2(x192,x191)+P2(x191,x192)
% 0.21/0.62 [20]~P3(x202,x201)+~P3(x201,x202)
% 0.21/0.62 [18]P3(x181,x182)+P2(f6(x181),x182)
% 0.21/0.62 [21]~P3(x212,x211)+E(f2(x211,f6(x212)),f6(x212))
% 0.21/0.62 %EqnAxiom
% 0.21/0.62 [1]E(x11,x11)
% 0.21/0.62 [2]E(x22,x21)+~E(x21,x22)
% 0.21/0.62 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.21/0.62 [4]~E(x41,x42)+E(f2(x41,x43),f2(x42,x43))
% 0.21/0.62 [5]~E(x51,x52)+E(f2(x53,x51),f2(x53,x52))
% 0.21/0.62 [6]~E(x61,x62)+E(f6(x61),f6(x62))
% 0.21/0.62 [7]~P1(x71)+P1(x72)+~E(x71,x72)
% 0.21/0.62 [8]P3(x82,x83)+~E(x81,x82)+~P3(x81,x83)
% 0.21/0.62 [9]P3(x93,x92)+~E(x91,x92)+~P3(x93,x91)
% 0.21/0.62 [10]P2(x102,x103)+~E(x101,x102)+~P2(x101,x103)
% 0.21/0.62 [11]P2(x113,x112)+~E(x111,x112)+~P2(x113,x111)
% 0.21/0.62
% 0.21/0.62 %-------------------------------------------
% 0.21/0.62 cnf(31,plain,
% 0.21/0.62 (E(f2(x311,x311),x311)),
% 0.21/0.62 inference(rename_variables,[],[13])).
% 0.21/0.62 cnf(37,plain,
% 0.21/0.62 (E(f2(x371,x371),x371)),
% 0.21/0.62 inference(rename_variables,[],[13])).
% 0.21/0.62 cnf(39,plain,
% 0.21/0.62 (E(f2(x391,x391),x391)),
% 0.21/0.62 inference(rename_variables,[],[13])).
% 0.21/0.62 cnf(43,plain,
% 0.21/0.62 ($false),
% 0.21/0.62 inference(scs_inference,[],[16,12,15,17,13,31,37,39,14,2,19,18,9,20,6,5,4,21,11,10,8,7,3]),
% 0.21/0.62 ['proof']).
% 0.21/0.62 % SZS output end Proof
% 0.21/0.62 % Total time :0.000000s
%------------------------------------------------------------------------------