TSTP Solution File: SEU167+1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SEU167+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n028.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 16:18:04 EDT 2023
% Result : Theorem 0.19s 0.63s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU167+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n028.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 : Wed Aug 23 12:38:34 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.57 start to proof:theBenchmark
% 0.19/0.62 %-------------------------------------------
% 0.19/0.62 % File :CSE---1.6
% 0.19/0.62 % Problem :theBenchmark
% 0.19/0.62 % Transform :cnf
% 0.19/0.62 % Format :tptp:raw
% 0.19/0.62 % Command :java -jar mcs_scs.jar %d %s
% 0.19/0.62
% 0.19/0.62 % Result :Theorem 0.000000s
% 0.19/0.62 % Output :CNFRefutation 0.000000s
% 0.19/0.62 %-------------------------------------------
% 0.19/0.63 %------------------------------------------------------------------------------
% 0.19/0.63 % File : SEU167+1 : TPTP v8.1.2. Released v3.3.0.
% 0.19/0.63 % Domain : Set theory
% 0.19/0.63 % Problem : MPTP bushy problem t119_zfmisc_1
% 0.19/0.63 % Version : [Urb07] axioms : Especial.
% 0.19/0.63 % English :
% 0.19/0.63
% 0.19/0.63 % Refs : [Ban01] Bancerek et al. (2001), On the Characterizations of Co
% 0.19/0.63 % : [Urb07] Urban (2006), Email to G. Sutcliffe
% 0.19/0.63 % Source : [Urb07]
% 0.19/0.63 % Names : bushy-t119_zfmisc_1 [Urb07]
% 0.19/0.63
% 0.19/0.63 % Status : Theorem
% 0.19/0.63 % Rating : 0.07 v7.5.0, 0.05 v7.4.0, 0.06 v7.3.0, 0.00 v5.5.0, 0.04 v5.4.0, 0.00 v5.3.0, 0.09 v5.2.0, 0.00 v4.0.1, 0.05 v3.7.0, 0.00 v3.3.0
% 0.19/0.63 % Syntax : Number of formulae : 5 ( 2 unt; 0 def)
% 0.19/0.63 % Number of atoms : 11 ( 0 equ)
% 0.19/0.63 % Maximal formula atoms : 3 ( 2 avg)
% 0.19/0.63 % Number of connectives : 6 ( 0 ~; 0 |; 3 &)
% 0.19/0.63 % ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% 0.19/0.63 % Maximal formula depth : 7 ( 5 avg)
% 0.19/0.63 % Maximal term depth : 2 ( 1 avg)
% 0.19/0.63 % Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% 0.19/0.63 % Number of functors : 1 ( 1 usr; 0 con; 2-2 aty)
% 0.19/0.63 % Number of variables : 12 ( 12 !; 0 ?)
% 0.19/0.63 % SPC : FOF_THM_RFO_NEQ
% 0.19/0.63
% 0.19/0.63 % Comments : Translated by MPTP 0.2 from the original problem in the Mizar
% 0.19/0.63 % library, www.mizar.org
% 0.19/0.63 %------------------------------------------------------------------------------
% 0.19/0.63 fof(dt_k2_zfmisc_1,axiom,
% 0.19/0.63 $true ).
% 0.19/0.63
% 0.19/0.63 fof(reflexivity_r1_tarski,axiom,
% 0.19/0.63 ! [A,B] : subset(A,A) ).
% 0.19/0.63
% 0.19/0.63 fof(t118_zfmisc_1,axiom,
% 0.19/0.63 ! [A,B,C] :
% 0.19/0.63 ( subset(A,B)
% 0.19/0.63 => ( subset(cartesian_product2(A,C),cartesian_product2(B,C))
% 0.19/0.63 & subset(cartesian_product2(C,A),cartesian_product2(C,B)) ) ) ).
% 0.19/0.63
% 0.19/0.63 fof(t119_zfmisc_1,conjecture,
% 0.19/0.63 ! [A,B,C,D] :
% 0.19/0.63 ( ( subset(A,B)
% 0.19/0.63 & subset(C,D) )
% 0.19/0.63 => subset(cartesian_product2(A,C),cartesian_product2(B,D)) ) ).
% 0.19/0.63
% 0.19/0.63 fof(t1_xboole_1,axiom,
% 0.19/0.63 ! [A,B,C] :
% 0.19/0.63 ( ( subset(A,B)
% 0.19/0.63 & subset(B,C) )
% 0.19/0.63 => subset(A,C) ) ).
% 0.19/0.63
% 0.19/0.63 %------------------------------------------------------------------------------
% 0.19/0.63 %-------------------------------------------
% 0.19/0.63 % Proof found
% 0.19/0.63 % SZS status Theorem for theBenchmark
% 0.19/0.63 % SZS output start Proof
% 0.19/0.63 %ClaNum:7(EqnAxiom:0)
% 0.19/0.63 %VarNum:20(SingletonVarNum:10)
% 0.19/0.63 %MaxLitNum:3
% 0.19/0.63 %MaxfuncDepth:1
% 0.19/0.63 %SharedTerms:9
% 0.19/0.63 %goalClause: 1 2 4
% 0.19/0.63 %singleGoalClaCount:3
% 0.19/0.63 [1]P1(a1,a3)
% 0.19/0.63 [2]P1(a4,a5)
% 0.19/0.63 [4]~P1(f2(a1,a4),f2(a3,a5))
% 0.19/0.63 [3]P1(x31,x31)
% 0.19/0.63 [6]~P1(x61,x63)+P1(f2(x61,x62),f2(x63,x62))
% 0.19/0.63 [7]~P1(x72,x73)+P1(f2(x71,x72),f2(x71,x73))
% 0.19/0.63 [5]~P1(x51,x53)+P1(x51,x52)+~P1(x53,x52)
% 0.19/0.63 %EqnAxiom
% 0.19/0.63
% 0.19/0.63 %-------------------------------------------
% 0.19/0.64 cnf(10,plain,
% 0.19/0.64 (~P1(f2(a3,a4),f2(a3,a5))),
% 0.19/0.64 inference(scs_inference,[],[1,4,7,6,5])).
% 0.19/0.64 cnf(12,plain,
% 0.19/0.64 ($false),
% 0.19/0.64 inference(scs_inference,[],[2,10,7]),
% 0.19/0.64 ['proof']).
% 0.19/0.64 % SZS output end Proof
% 0.19/0.64 % Total time :0.000000s
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