TSTP Solution File: SEU155+1 by CSE---1.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SEU155+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 : n017.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 16:17:57 EDT 2023
% Result : Theorem 0.19s 0.70s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU155+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.12/0.33 % Computer : n017.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Thu Aug 24 00:40:54 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.57 start to proof:theBenchmark
% 0.19/0.69 %-------------------------------------------
% 0.19/0.69 % File :CSE---1.6
% 0.19/0.69 % Problem :theBenchmark
% 0.19/0.69 % Transform :cnf
% 0.19/0.69 % Format :tptp:raw
% 0.19/0.69 % Command :java -jar mcs_scs.jar %d %s
% 0.19/0.69
% 0.19/0.69 % Result :Theorem 0.060000s
% 0.19/0.69 % Output :CNFRefutation 0.060000s
% 0.19/0.69 %-------------------------------------------
% 0.19/0.69 %------------------------------------------------------------------------------
% 0.19/0.69 % File : SEU155+1 : TPTP v8.1.2. Released v3.3.0.
% 0.19/0.69 % Domain : Set theory
% 0.19/0.69 % Problem : MPTP bushy problem l50_zfmisc_1
% 0.19/0.69 % Version : [Urb07] axioms : Especial.
% 0.19/0.69 % English :
% 0.19/0.69
% 0.19/0.69 % Refs : [Ban01] Bancerek et al. (2001), On the Characterizations of Co
% 0.19/0.69 % : [Urb07] Urban (2006), Email to G. Sutcliffe
% 0.19/0.69 % Source : [Urb07]
% 0.19/0.69 % Names : bushy-l50_zfmisc_1 [Urb07]
% 0.19/0.69
% 0.19/0.69 % Status : Theorem
% 0.19/0.69 % Rating : 0.14 v8.1.0, 0.03 v7.2.0, 0.00 v7.1.0, 0.04 v7.0.0, 0.07 v6.4.0, 0.12 v6.3.0, 0.08 v6.2.0, 0.12 v6.1.0, 0.13 v6.0.0, 0.17 v5.5.0, 0.07 v5.4.0, 0.11 v5.3.0, 0.19 v5.2.0, 0.00 v5.0.0, 0.12 v4.1.0, 0.13 v4.0.0, 0.17 v3.7.0, 0.15 v3.5.0, 0.16 v3.3.0
% 0.19/0.69 % Syntax : Number of formulae : 6 ( 2 unt; 0 def)
% 0.19/0.69 % Number of atoms : 13 ( 1 equ)
% 0.19/0.69 % Maximal formula atoms : 4 ( 2 avg)
% 0.19/0.69 % Number of connectives : 8 ( 1 ~; 0 |; 1 &)
% 0.19/0.69 % ( 3 <=>; 3 =>; 0 <=; 0 <~>)
% 0.19/0.69 % Maximal formula depth : 8 ( 5 avg)
% 0.19/0.69 % Maximal term depth : 2 ( 1 avg)
% 0.19/0.69 % Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% 0.19/0.69 % Number of functors : 1 ( 1 usr; 0 con; 1-1 aty)
% 0.19/0.69 % Number of variables : 13 ( 12 !; 1 ?)
% 0.19/0.69 % SPC : FOF_THM_RFO_SEQ
% 0.19/0.69
% 0.19/0.69 % Comments : Translated by MPTP 0.2 from the original problem in the Mizar
% 0.19/0.69 % library, www.mizar.org
% 0.19/0.69 %------------------------------------------------------------------------------
% 0.19/0.69 fof(antisymmetry_r2_hidden,axiom,
% 0.19/0.69 ! [A,B] :
% 0.19/0.69 ( in(A,B)
% 0.19/0.69 => ~ in(B,A) ) ).
% 0.19/0.69
% 0.19/0.69 fof(d3_tarski,axiom,
% 0.19/0.69 ! [A,B] :
% 0.19/0.69 ( subset(A,B)
% 0.19/0.69 <=> ! [C] :
% 0.19/0.69 ( in(C,A)
% 0.19/0.69 => in(C,B) ) ) ).
% 0.19/0.69
% 0.19/0.69 fof(d4_tarski,axiom,
% 0.19/0.69 ! [A,B] :
% 0.19/0.69 ( B = union(A)
% 0.19/0.69 <=> ! [C] :
% 0.19/0.69 ( in(C,B)
% 0.19/0.69 <=> ? [D] :
% 0.19/0.69 ( in(C,D)
% 0.19/0.69 & in(D,A) ) ) ) ).
% 0.19/0.69
% 0.19/0.69 fof(dt_k3_tarski,axiom,
% 0.19/0.69 $true ).
% 0.19/0.69
% 0.19/0.69 fof(l50_zfmisc_1,conjecture,
% 0.19/0.69 ! [A,B] :
% 0.19/0.69 ( in(A,B)
% 0.19/0.69 => subset(A,union(B)) ) ).
% 0.19/0.69
% 0.19/0.70 fof(reflexivity_r1_tarski,axiom,
% 0.19/0.70 ! [A,B] : subset(A,A) ).
% 0.19/0.70
% 0.19/0.70 %------------------------------------------------------------------------------
% 0.19/0.70 %-------------------------------------------
% 0.19/0.70 % Proof found
% 0.19/0.70 % SZS status Theorem for theBenchmark
% 0.19/0.70 % SZS output start Proof
% 0.19/0.70 %ClaNum:30(EqnAxiom:17)
% 0.19/0.70 %VarNum:73(SingletonVarNum:27)
% 0.19/0.70 %MaxLitNum:4
% 0.19/0.70 %MaxfuncDepth:1
% 0.19/0.70 %SharedTerms:5
% 0.19/0.70 %goalClause: 18 20
% 0.19/0.70 %singleGoalClaCount:2
% 0.19/0.70 [18]P1(a1,a6)
% 0.19/0.70 [20]~P2(a1,f7(a6))
% 0.19/0.70 [19]P2(x191,x191)
% 0.19/0.70 [21]~P1(x212,x211)+~P1(x211,x212)
% 0.19/0.70 [22]P2(x221,x222)+P1(f2(x221,x222),x221)
% 0.19/0.70 [25]P2(x251,x252)+~P1(f2(x251,x252),x252)
% 0.19/0.70 [26]P1(f3(x262,x261),x261)+P1(f5(x262,x261),x262)+E(x261,f7(x262))
% 0.19/0.70 [27]P1(f3(x272,x271),x271)+P1(f3(x272,x271),f5(x272,x271))+E(x271,f7(x272))
% 0.19/0.70 [23]~P2(x233,x232)+P1(x231,x232)+~P1(x231,x233)
% 0.19/0.70 [28]~P1(x281,x283)+~E(x283,f7(x282))+P1(x281,f4(x282,x283,x281))
% 0.19/0.70 [29]~P1(x293,x292)+~E(x292,f7(x291))+P1(f4(x291,x292,x293),x291)
% 0.19/0.70 [30]~P1(x303,x302)+~P1(f3(x302,x301),x303)+~P1(f3(x302,x301),x301)+E(x301,f7(x302))
% 0.19/0.70 [24]~P1(x241,x244)+P1(x241,x242)+~P1(x244,x243)+~E(x242,f7(x243))
% 0.19/0.70 %EqnAxiom
% 0.19/0.70 [1]E(x11,x11)
% 0.19/0.70 [2]E(x22,x21)+~E(x21,x22)
% 0.19/0.70 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.19/0.70 [4]~E(x41,x42)+E(f7(x41),f7(x42))
% 0.19/0.70 [5]~E(x51,x52)+E(f2(x51,x53),f2(x52,x53))
% 0.19/0.70 [6]~E(x61,x62)+E(f2(x63,x61),f2(x63,x62))
% 0.19/0.70 [7]~E(x71,x72)+E(f3(x71,x73),f3(x72,x73))
% 0.19/0.70 [8]~E(x81,x82)+E(f3(x83,x81),f3(x83,x82))
% 0.19/0.70 [9]~E(x91,x92)+E(f4(x91,x93,x94),f4(x92,x93,x94))
% 0.19/0.70 [10]~E(x101,x102)+E(f4(x103,x101,x104),f4(x103,x102,x104))
% 0.19/0.70 [11]~E(x111,x112)+E(f4(x113,x114,x111),f4(x113,x114,x112))
% 0.19/0.70 [12]~E(x121,x122)+E(f5(x121,x123),f5(x122,x123))
% 0.19/0.70 [13]~E(x131,x132)+E(f5(x133,x131),f5(x133,x132))
% 0.19/0.70 [14]P1(x142,x143)+~E(x141,x142)+~P1(x141,x143)
% 0.19/0.70 [15]P1(x153,x152)+~E(x151,x152)+~P1(x153,x151)
% 0.19/0.70 [16]P2(x162,x163)+~E(x161,x162)+~P2(x161,x163)
% 0.19/0.70 [17]P2(x173,x172)+~E(x171,x172)+~P2(x173,x171)
% 0.19/0.70
% 0.19/0.70 %-------------------------------------------
% 0.19/0.70 cnf(33,plain,
% 0.19/0.70 (P2(x331,x331)),
% 0.19/0.70 inference(rename_variables,[],[19])).
% 0.19/0.70 cnf(36,plain,
% 0.19/0.70 (~P1(f2(a1,f7(a6)),f7(a6))),
% 0.19/0.70 inference(scs_inference,[],[18,19,33,20,21,17,16,25])).
% 0.19/0.70 cnf(38,plain,
% 0.19/0.70 (P1(f2(a1,f7(a6)),a1)),
% 0.19/0.70 inference(scs_inference,[],[18,19,33,20,21,17,16,25,22])).
% 0.19/0.70 cnf(116,plain,
% 0.19/0.70 ($false),
% 0.19/0.70 inference(scs_inference,[],[36,38,18,24]),
% 0.19/0.70 ['proof']).
% 0.19/0.70 % SZS output end Proof
% 0.19/0.70 % Total time :0.060000s
%------------------------------------------------------------------------------