TSTP Solution File: SET913+1 by CSE---1.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SET913+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 : n008.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 14:31:40 EDT 2023
% Result : Theorem 0.20s 0.60s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET913+1 : TPTP v8.1.2. Released v3.2.0.
% 0.13/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.33 % Computer : n008.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Sat Aug 26 09:40:32 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.56 start to proof:theBenchmark
% 0.20/0.60 %-------------------------------------------
% 0.20/0.60 % File :CSE---1.6
% 0.20/0.60 % Problem :theBenchmark
% 0.20/0.60 % Transform :cnf
% 0.20/0.60 % Format :tptp:raw
% 0.20/0.60 % Command :java -jar mcs_scs.jar %d %s
% 0.20/0.60
% 0.20/0.60 % Result :Theorem 0.000000s
% 0.20/0.60 % Output :CNFRefutation 0.000000s
% 0.20/0.60 %-------------------------------------------
% 0.20/0.60 %------------------------------------------------------------------------------
% 0.20/0.60 % File : SET913+1 : TPTP v8.1.2. Released v3.2.0.
% 0.20/0.60 % Domain : Set theory
% 0.20/0.60 % Problem : ~ ( disjoint(singleton(A),B) & in(A,B) )
% 0.20/0.60 % Version : [Urb06] axioms : Especial.
% 0.20/0.60 % English :
% 0.20/0.60
% 0.20/0.60 % Refs : [Byl90] Bylinski (1990), Some Basic Properties of Sets
% 0.20/0.60 % : [Urb06] Urban (2006), Email to G. Sutcliffe
% 0.20/0.60 % Source : [Urb06]
% 0.20/0.60 % Names : zfmisc_1__t54_zfmisc_1 [Urb06]
% 0.20/0.60
% 0.20/0.60 % Status : Theorem
% 0.20/0.60 % Rating : 0.00 v5.5.0, 0.04 v5.3.0, 0.13 v5.2.0, 0.00 v5.0.0, 0.05 v4.1.0, 0.06 v4.0.1, 0.00 v3.2.0
% 0.20/0.60 % Syntax : Number of formulae : 6 ( 2 unt; 0 def)
% 0.20/0.60 % Number of atoms : 10 ( 0 equ)
% 0.20/0.60 % Maximal formula atoms : 2 ( 1 avg)
% 0.20/0.60 % Number of connectives : 8 ( 4 ~; 0 |; 2 &)
% 0.20/0.60 % ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% 0.20/0.60 % Maximal formula depth : 5 ( 4 avg)
% 0.20/0.60 % Maximal term depth : 2 ( 1 avg)
% 0.20/0.60 % Number of predicates : 3 ( 3 usr; 0 prp; 1-2 aty)
% 0.20/0.60 % Number of functors : 1 ( 1 usr; 0 con; 1-1 aty)
% 0.20/0.60 % Number of variables : 10 ( 8 !; 2 ?)
% 0.20/0.60 % SPC : FOF_THM_RFO_NEQ
% 0.20/0.60
% 0.20/0.60 % Comments : Translated by MPTP 0.2 from the original problem in the Mizar
% 0.20/0.60 % library, www.mizar.org
% 0.20/0.60 %------------------------------------------------------------------------------
% 0.20/0.60 fof(symmetry_r1_xboole_0,axiom,
% 0.20/0.60 ! [A,B] :
% 0.20/0.60 ( disjoint(A,B)
% 0.20/0.60 => disjoint(B,A) ) ).
% 0.20/0.60
% 0.20/0.60 fof(antisymmetry_r2_hidden,axiom,
% 0.20/0.60 ! [A,B] :
% 0.20/0.60 ( in(A,B)
% 0.20/0.60 => ~ in(B,A) ) ).
% 0.20/0.60
% 0.20/0.60 fof(rc1_xboole_0,axiom,
% 0.20/0.60 ? [A] : empty(A) ).
% 0.20/0.60
% 0.20/0.60 fof(rc2_xboole_0,axiom,
% 0.20/0.60 ? [A] : ~ empty(A) ).
% 0.20/0.60
% 0.20/0.60 fof(t54_zfmisc_1,conjecture,
% 0.20/0.60 ! [A,B] :
% 0.20/0.60 ~ ( disjoint(singleton(A),B)
% 0.20/0.60 & in(A,B) ) ).
% 0.20/0.60
% 0.20/0.60 fof(l25_zfmisc_1,axiom,
% 0.20/0.60 ! [A,B] :
% 0.20/0.60 ~ ( disjoint(singleton(A),B)
% 0.20/0.60 & in(A,B) ) ).
% 0.20/0.60
% 0.20/0.60 %------------------------------------------------------------------------------
% 0.20/0.60 %-------------------------------------------
% 0.20/0.60 % Proof found
% 0.20/0.60 % SZS status Theorem for theBenchmark
% 0.20/0.60 % SZS output start Proof
% 0.20/0.60 %ClaNum:7(EqnAxiom:0)
% 0.20/0.60 %VarNum:12(SingletonVarNum:6)
% 0.20/0.60 %MaxLitNum:2
% 0.20/0.60 %MaxfuncDepth:1
% 0.20/0.60 %SharedTerms:9
% 0.20/0.60 %goalClause: 2 3
% 0.20/0.60 %singleGoalClaCount:2
% 0.20/0.60 [1]P1(a1)
% 0.20/0.60 [2]P3(a2,a4)
% 0.20/0.60 [4]~P1(a3)
% 0.20/0.60 [3]P2(f5(a2),a4)
% 0.20/0.60 [5]~P2(x52,x51)+P2(x51,x52)
% 0.20/0.60 [6]~P3(x62,x61)+~P3(x61,x62)
% 0.20/0.60 [7]~P3(x71,x72)+~P2(f5(x71),x72)
% 0.20/0.60 %EqnAxiom
% 0.20/0.60
% 0.20/0.60 %-------------------------------------------
% 0.20/0.60 cnf(8,plain,
% 0.20/0.60 ($false),
% 0.20/0.60 inference(scs_inference,[],[2,3,7]),
% 0.20/0.60 ['proof']).
% 0.20/0.60 % SZS output end Proof
% 0.20/0.60 % Total time :0.000000s
%------------------------------------------------------------------------------