TSTP Solution File: SET786+1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SET786+1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/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 14:31:02 EDT 2023
% Result : Theorem 0.20s 0.64s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET786+1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n001.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sat Aug 26 11:21:31 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.57 start to proof:theBenchmark
% 0.20/0.63 %-------------------------------------------
% 0.20/0.63 % File :CSE---1.6
% 0.20/0.63 % Problem :theBenchmark
% 0.20/0.63 % Transform :cnf
% 0.20/0.63 % Format :tptp:raw
% 0.20/0.63 % Command :java -jar mcs_scs.jar %d %s
% 0.20/0.63
% 0.20/0.63 % Result :Theorem 0.010000s
% 0.20/0.63 % Output :CNFRefutation 0.010000s
% 0.20/0.63 %-------------------------------------------
% 0.20/0.63 %--------------------------------------------------------------------------
% 0.20/0.63 % File : SET786+1 : TPTP v8.1.2. Released v2.5.0.
% 0.20/0.63 % Domain : Set theory
% 0.20/0.63 % Problem : Peter Andrews Problem THM25
% 0.20/0.63 % Version : Especial.
% 0.20/0.63 % English :
% 0.20/0.63
% 0.20/0.63 % Refs : [And97] Andrews (1994), Email to G. Sutcliffe
% 0.20/0.63 % Source : [And97]
% 0.20/0.63 % Names : THM25 [And97]
% 0.20/0.63
% 0.20/0.63 % Status : Theorem
% 0.20/0.63 % Rating : 0.00 v6.1.0, 0.04 v6.0.0, 0.25 v5.5.0, 0.04 v5.3.0, 0.13 v5.2.0, 0.00 v2.5.0
% 0.20/0.63 % Syntax : Number of formulae : 1 ( 0 unt; 0 def)
% 0.20/0.63 % Number of atoms : 3 ( 0 equ)
% 0.20/0.63 % Maximal formula atoms : 3 ( 3 avg)
% 0.20/0.63 % Number of connectives : 4 ( 2 ~; 0 |; 1 &)
% 0.20/0.63 % ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% 0.20/0.63 % Maximal formula depth : 8 ( 8 avg)
% 0.20/0.63 % Maximal term depth : 1 ( 1 avg)
% 0.20/0.63 % Number of predicates : 1 ( 1 usr; 0 prp; 2-2 aty)
% 0.20/0.63 % Number of functors : 0 ( 0 usr; 0 con; --- aty)
% 0.20/0.63 % Number of variables : 3 ( 1 !; 2 ?)
% 0.20/0.63 % SPC : FOF_THM_RFO_NEQ
% 0.20/0.63
% 0.20/0.63 % Comments :
% 0.20/0.63 %--------------------------------------------------------------------------
% 0.20/0.63 fof(thm25,conjecture,
% 0.20/0.63 ~ ? [Y] :
% 0.20/0.63 ! [X] :
% 0.20/0.63 ( element(X,Y)
% 0.20/0.63 <=> ~ ? [Z] :
% 0.20/0.63 ( element(X,Z)
% 0.20/0.63 & element(Z,X) ) ) ).
% 0.20/0.63
% 0.20/0.63 %--------------------------------------------------------------------------
% 0.20/0.64 %-------------------------------------------
% 0.20/0.64 % Proof found
% 0.20/0.64 % SZS status Theorem for theBenchmark
% 0.20/0.64 % SZS output start Proof
% 0.20/0.64 %ClaNum:3(EqnAxiom:0)
% 0.20/0.64 %VarNum:11(SingletonVarNum:4)
% 0.20/0.64 %MaxLitNum:3
% 0.20/0.64 %MaxfuncDepth:1
% 0.20/0.64 %SharedTerms:1
% 0.20/0.64 %goalClause: 1 2 3
% 0.20/0.64 [1]P1(x11,f2(x11))+P1(x11,a1)
% 0.20/0.64 [2]P1(f2(x21),x21)+P1(x21,a1)
% 0.20/0.64 [3]~P1(x32,x31)+~P1(x31,x32)+~P1(x32,a1)
% 0.20/0.64 %EqnAxiom
% 0.20/0.64
% 0.20/0.64 %-------------------------------------------
% 0.20/0.64 cnf(4,plain,
% 0.20/0.64 (~P1(x41,x42)+~P1(x42,x41)+P1(x42,f2(x42))),
% 0.20/0.64 inference(scs_inference,[],[1,3])).
% 0.20/0.64 cnf(13,plain,
% 0.20/0.64 (P1(a1,f2(a1))+~P1(a1,x131)+P1(x131,f2(x131))),
% 0.20/0.64 inference(scs_inference,[],[1,4])).
% 0.20/0.64 cnf(19,plain,
% 0.20/0.64 (P1(a1,f2(a1))),
% 0.20/0.64 inference(scs_inference,[],[1,13])).
% 0.20/0.64 cnf(20,plain,
% 0.20/0.64 (~P1(f2(a1),a1)),
% 0.20/0.64 inference(scs_inference,[],[19,3])).
% 0.20/0.64 cnf(23,plain,
% 0.20/0.64 ($false),
% 0.20/0.64 inference(scs_inference,[],[20,2,3]),
% 0.20/0.64 ['proof']).
% 0.20/0.64 % SZS output end Proof
% 0.20/0.64 % Total time :0.010000s
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