TSTP Solution File: SEU139+1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SEU139+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n024.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 16:17:45 EDT 2023
% Result : Theorem 0.19s 0.61s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU139+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.33 % Computer : n024.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
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Aug 23 16:48:54 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.56 start to proof:theBenchmark
% 0.19/0.60 %-------------------------------------------
% 0.19/0.60 % File :CSE---1.6
% 0.19/0.60 % Problem :theBenchmark
% 0.19/0.60 % Transform :cnf
% 0.19/0.60 % Format :tptp:raw
% 0.19/0.60 % Command :java -jar mcs_scs.jar %d %s
% 0.19/0.60
% 0.19/0.60 % Result :Theorem 0.000000s
% 0.19/0.60 % Output :CNFRefutation 0.000000s
% 0.19/0.60 %-------------------------------------------
% 0.19/0.61 %------------------------------------------------------------------------------
% 0.19/0.61 % File : SEU139+1 : TPTP v8.1.2. Released v3.3.0.
% 0.19/0.61 % Domain : Set theory
% 0.19/0.61 % Problem : MPTP bushy problem t60_xboole_1
% 0.19/0.61 % Version : [Urb07] axioms : Especial.
% 0.19/0.61 % English :
% 0.19/0.61
% 0.19/0.61 % Refs : [Ban01] Bancerek et al. (2001), On the Characterizations of Co
% 0.19/0.61 % : [Urb07] Urban (2006), Email to G. Sutcliffe
% 0.19/0.61 % Source : [Urb07]
% 0.19/0.61 % Names : bushy-t60_xboole_1 [Urb07]
% 0.19/0.61
% 0.19/0.61 % Status : Theorem
% 0.19/0.61 % Rating : 0.00 v5.3.0, 0.09 v5.2.0, 0.00 v4.1.0, 0.04 v3.7.0, 0.14 v3.5.0, 0.00 v3.4.0, 0.08 v3.3.0
% 0.19/0.61 % Syntax : Number of formulae : 6 ( 2 unt; 0 def)
% 0.19/0.61 % Number of atoms : 12 ( 2 equ)
% 0.19/0.61 % Maximal formula atoms : 3 ( 2 avg)
% 0.19/0.61 % Number of connectives : 10 ( 4 ~; 0 |; 3 &)
% 0.19/0.61 % ( 2 <=>; 1 =>; 0 <=; 0 <~>)
% 0.19/0.61 % Maximal formula depth : 6 ( 5 avg)
% 0.19/0.61 % Maximal term depth : 1 ( 1 avg)
% 0.19/0.61 % Number of predicates : 3 ( 2 usr; 0 prp; 2-2 aty)
% 0.19/0.61 % Number of functors : 0 ( 0 usr; 0 con; --- aty)
% 0.19/0.61 % Number of variables : 12 ( 12 !; 0 ?)
% 0.19/0.61 % SPC : FOF_THM_EPR_SEQ
% 0.19/0.61
% 0.19/0.61 % Comments : Translated by MPTP 0.2 from the original problem in the Mizar
% 0.19/0.61 % library, www.mizar.org
% 0.19/0.61 %------------------------------------------------------------------------------
% 0.19/0.61 fof(antisymmetry_r2_xboole_0,axiom,
% 0.19/0.61 ! [A,B] :
% 0.19/0.61 ( proper_subset(A,B)
% 0.19/0.61 => ~ proper_subset(B,A) ) ).
% 0.19/0.61
% 0.19/0.61 fof(d10_xboole_0,axiom,
% 0.19/0.61 ! [A,B] :
% 0.19/0.61 ( A = B
% 0.19/0.61 <=> ( subset(A,B)
% 0.19/0.61 & subset(B,A) ) ) ).
% 0.19/0.61
% 0.19/0.61 fof(d8_xboole_0,axiom,
% 0.19/0.61 ! [A,B] :
% 0.19/0.61 ( proper_subset(A,B)
% 0.19/0.61 <=> ( subset(A,B)
% 0.19/0.61 & A != B ) ) ).
% 0.19/0.61
% 0.19/0.61 fof(irreflexivity_r2_xboole_0,axiom,
% 0.19/0.61 ! [A,B] : ~ proper_subset(A,A) ).
% 0.19/0.61
% 0.19/0.61 fof(reflexivity_r1_tarski,axiom,
% 0.19/0.61 ! [A,B] : subset(A,A) ).
% 0.19/0.61
% 0.19/0.61 fof(t60_xboole_1,conjecture,
% 0.19/0.61 ! [A,B] :
% 0.19/0.61 ~ ( subset(A,B)
% 0.19/0.61 & proper_subset(B,A) ) ).
% 0.19/0.61
% 0.19/0.61 %------------------------------------------------------------------------------
% 0.19/0.61 %-------------------------------------------
% 0.19/0.61 % Proof found
% 0.19/0.61 % SZS status Theorem for theBenchmark
% 0.19/0.61 % SZS output start Proof
% 0.19/0.61 %ClaNum:18(EqnAxiom:7)
% 0.19/0.61 %VarNum:32(SingletonVarNum:14)
% 0.19/0.61 %MaxLitNum:3
% 0.19/0.61 %MaxfuncDepth:0
% 0.19/0.61 %SharedTerms:4
% 0.19/0.61 %goalClause: 8 9
% 0.19/0.61 %singleGoalClaCount:2
% 0.19/0.61 [8]P1(a1,a2)
% 0.19/0.61 [9]P2(a2,a1)
% 0.19/0.61 [10]P2(x101,x101)
% 0.19/0.61 [11]~P1(x111,x111)
% 0.19/0.61 [13]~E(x131,x132)+P2(x131,x132)
% 0.19/0.61 [14]~P1(x141,x142)+~E(x141,x142)
% 0.19/0.61 [15]~P1(x151,x152)+P2(x151,x152)
% 0.19/0.61 [17]~P1(x172,x171)+~P1(x171,x172)
% 0.19/0.61 [16]P1(x161,x162)+~P2(x161,x162)+E(x161,x162)
% 0.19/0.61 [18]~P2(x182,x181)+~P2(x181,x182)+E(x181,x182)
% 0.19/0.61 %EqnAxiom
% 0.19/0.61 [1]E(x11,x11)
% 0.19/0.61 [2]E(x22,x21)+~E(x21,x22)
% 0.19/0.61 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.19/0.61 [4]P1(x42,x43)+~E(x41,x42)+~P1(x41,x43)
% 0.19/0.61 [5]P1(x53,x52)+~E(x51,x52)+~P1(x53,x51)
% 0.19/0.61 [6]P2(x62,x63)+~E(x61,x62)+~P2(x61,x63)
% 0.19/0.61 [7]P2(x73,x72)+~E(x71,x72)+~P2(x73,x71)
% 0.19/0.61
% 0.19/0.61 %-------------------------------------------
% 0.19/0.61 cnf(21,plain,
% 0.19/0.61 (~P1(x211,x211)),
% 0.19/0.61 inference(rename_variables,[],[11])).
% 0.19/0.61 cnf(26,plain,
% 0.19/0.61 ($false),
% 0.19/0.61 inference(scs_inference,[],[8,11,21,9,17,5,4,18,16]),
% 0.19/0.61 ['proof']).
% 0.19/0.61 % SZS output end Proof
% 0.19/0.61 % Total time :0.000000s
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