TSTP Solution File: SEU121+1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SEU121+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 : n003.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 16:17:34 EDT 2023
% Result : Theorem 0.20s 0.67s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU121+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n003.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 21:49:07 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.61 start to proof:theBenchmark
% 0.20/0.66 %-------------------------------------------
% 0.20/0.66 % File :CSE---1.6
% 0.20/0.66 % Problem :theBenchmark
% 0.20/0.66 % Transform :cnf
% 0.20/0.66 % Format :tptp:raw
% 0.20/0.66 % Command :java -jar mcs_scs.jar %d %s
% 0.20/0.66
% 0.20/0.66 % Result :Theorem 0.000000s
% 0.20/0.66 % Output :CNFRefutation 0.000000s
% 0.20/0.66 %-------------------------------------------
% 0.20/0.66 %------------------------------------------------------------------------------
% 0.20/0.66 % File : SEU121+1 : TPTP v8.1.2. Released v3.3.0.
% 0.20/0.66 % Domain : Set theory
% 0.20/0.66 % Problem : MPTP bushy problem t1_xboole_1
% 0.20/0.66 % Version : [Urb07] axioms : Especial.
% 0.20/0.66 % English :
% 0.20/0.66
% 0.20/0.66 % Refs : [Ban01] Bancerek et al. (2001), On the Characterizations of Co
% 0.20/0.66 % : [Urb07] Urban (2006), Email to G. Sutcliffe
% 0.20/0.66 % Source : [Urb07]
% 0.20/0.66 % Names : bushy-t1_xboole_1 [Urb07]
% 0.20/0.66
% 0.20/0.66 % Status : Theorem
% 0.20/0.66 % Rating : 0.06 v8.1.0, 0.03 v7.2.0, 0.00 v6.4.0, 0.04 v6.3.0, 0.08 v6.1.0, 0.03 v6.0.0, 0.04 v5.5.0, 0.00 v5.4.0, 0.04 v5.3.0, 0.07 v5.2.0, 0.00 v4.0.0, 0.04 v3.7.0, 0.00 v3.3.0
% 0.20/0.66 % Syntax : Number of formulae : 11 ( 5 unt; 0 def)
% 0.20/0.66 % Number of atoms : 20 ( 2 equ)
% 0.20/0.67 % Maximal formula atoms : 3 ( 1 avg)
% 0.20/0.67 % Number of connectives : 14 ( 5 ~; 0 |; 4 &)
% 0.20/0.67 % ( 1 <=>; 4 =>; 0 <=; 0 <~>)
% 0.20/0.67 % Maximal formula depth : 7 ( 4 avg)
% 0.20/0.67 % Maximal term depth : 1 ( 1 avg)
% 0.20/0.67 % Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% 0.20/0.67 % Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% 0.20/0.67 % Number of variables : 17 ( 15 !; 2 ?)
% 0.20/0.67 % SPC : FOF_THM_RFO_SEQ
% 0.20/0.67
% 0.20/0.67 % Comments : Translated by MPTP 0.2 from the original problem in the Mizar
% 0.20/0.67 % library, www.mizar.org
% 0.20/0.67 %------------------------------------------------------------------------------
% 0.20/0.67 fof(antisymmetry_r2_hidden,axiom,
% 0.20/0.67 ! [A,B] :
% 0.20/0.67 ( in(A,B)
% 0.20/0.67 => ~ in(B,A) ) ).
% 0.20/0.67
% 0.20/0.67 fof(d3_tarski,axiom,
% 0.20/0.67 ! [A,B] :
% 0.20/0.67 ( subset(A,B)
% 0.20/0.67 <=> ! [C] :
% 0.20/0.67 ( in(C,A)
% 0.20/0.67 => in(C,B) ) ) ).
% 0.20/0.67
% 0.20/0.67 fof(dt_k1_xboole_0,axiom,
% 0.20/0.67 $true ).
% 0.20/0.67
% 0.20/0.67 fof(fc1_xboole_0,axiom,
% 0.20/0.67 empty(empty_set) ).
% 0.20/0.67
% 0.20/0.67 fof(rc1_xboole_0,axiom,
% 0.20/0.67 ? [A] : empty(A) ).
% 0.20/0.67
% 0.20/0.67 fof(rc2_xboole_0,axiom,
% 0.20/0.67 ? [A] : ~ empty(A) ).
% 0.20/0.67
% 0.20/0.67 fof(reflexivity_r1_tarski,axiom,
% 0.20/0.67 ! [A,B] : subset(A,A) ).
% 0.20/0.67
% 0.20/0.67 fof(t1_xboole_1,conjecture,
% 0.20/0.67 ! [A,B,C] :
% 0.20/0.67 ( ( subset(A,B)
% 0.20/0.67 & subset(B,C) )
% 0.20/0.67 => subset(A,C) ) ).
% 0.20/0.67
% 0.20/0.67 fof(t6_boole,axiom,
% 0.20/0.67 ! [A] :
% 0.20/0.67 ( empty(A)
% 0.20/0.67 => A = empty_set ) ).
% 0.20/0.67
% 0.20/0.67 fof(t7_boole,axiom,
% 0.20/0.67 ! [A,B] :
% 0.20/0.67 ~ ( in(A,B)
% 0.20/0.67 & empty(B) ) ).
% 0.20/0.67
% 0.20/0.67 fof(t8_boole,axiom,
% 0.20/0.67 ! [A,B] :
% 0.20/0.67 ~ ( empty(A)
% 0.20/0.67 & A != B
% 0.20/0.67 & empty(B) ) ).
% 0.20/0.67
% 0.20/0.67 %------------------------------------------------------------------------------
% 0.20/0.67 %-------------------------------------------
% 0.20/0.67 % Proof found
% 0.20/0.67 % SZS status Theorem for theBenchmark
% 0.20/0.67 % SZS output start Proof
% 0.20/0.67 %ClaNum:24(EqnAxiom:10)
% 0.20/0.67 %VarNum:31(SingletonVarNum:15)
% 0.20/0.67 %MaxLitNum:3
% 0.20/0.67 %MaxfuncDepth:1
% 0.20/0.67 %SharedTerms:12
% 0.20/0.67 %goalClause: 13 14 17
% 0.20/0.67 %singleGoalClaCount:3
% 0.20/0.67 [11]P1(a1)
% 0.20/0.67 [12]P1(a2)
% 0.20/0.67 [13]P2(a4,a6)
% 0.20/0.67 [14]P2(a6,a7)
% 0.20/0.67 [16]~P1(a5)
% 0.20/0.67 [17]~P2(a4,a7)
% 0.20/0.67 [15]P2(x151,x151)
% 0.20/0.67 [18]~P1(x181)+E(x181,a1)
% 0.20/0.67 [20]~P1(x201)+~P3(x202,x201)
% 0.20/0.67 [21]~P3(x212,x211)+~P3(x211,x212)
% 0.20/0.67 [22]P2(x221,x222)+P3(f3(x221,x222),x221)
% 0.20/0.67 [24]P2(x241,x242)+~P3(f3(x241,x242),x242)
% 0.20/0.67 [19]~P1(x192)+~P1(x191)+E(x191,x192)
% 0.20/0.67 [23]~P2(x233,x232)+P3(x231,x232)+~P3(x231,x233)
% 0.20/0.67 %EqnAxiom
% 0.20/0.67 [1]E(x11,x11)
% 0.20/0.67 [2]E(x22,x21)+~E(x21,x22)
% 0.20/0.67 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.20/0.67 [4]~E(x41,x42)+E(f3(x41,x43),f3(x42,x43))
% 0.20/0.67 [5]~E(x51,x52)+E(f3(x53,x51),f3(x53,x52))
% 0.20/0.67 [6]~P1(x61)+P1(x62)+~E(x61,x62)
% 0.20/0.67 [7]P3(x72,x73)+~E(x71,x72)+~P3(x71,x73)
% 0.20/0.67 [8]P3(x83,x82)+~E(x81,x82)+~P3(x83,x81)
% 0.20/0.67 [9]P2(x92,x93)+~E(x91,x92)+~P2(x91,x93)
% 0.20/0.67 [10]P2(x103,x102)+~E(x101,x102)+~P2(x103,x101)
% 0.20/0.67
% 0.20/0.67 %-------------------------------------------
% 0.20/0.67 cnf(33,plain,
% 0.20/0.67 (E(f3(x331,a2),f3(x331,a1))),
% 0.20/0.67 inference(scs_inference,[],[13,15,17,11,12,20,22,10,9,2,18,5])).
% 0.20/0.67 cnf(41,plain,
% 0.20/0.67 (~P2(x411,x412)+P3(x413,x412)+~P3(x413,x411)),
% 0.20/0.67 inference(rename_variables,[],[23])).
% 0.20/0.67 cnf(42,plain,
% 0.20/0.67 (~P3(f3(a4,a7),a4)),
% 0.20/0.67 inference(scs_inference,[],[13,15,14,17,11,12,16,20,22,10,9,2,18,5,4,24,8,7,6,23,41])).
% 0.20/0.67 cnf(48,plain,
% 0.20/0.67 ($false),
% 0.20/0.67 inference(scs_inference,[],[17,33,42,2,22]),
% 0.20/0.67 ['proof']).
% 0.20/0.67 % SZS output end Proof
% 0.20/0.67 % Total time :0.000000s
%------------------------------------------------------------------------------