TSTP Solution File: SEU142+1 by CSE---1.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SEU142+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 : n018.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 16:17:48 EDT 2023
% Result : Theorem 120.57s 120.64s
% Output : CNFRefutation 120.57s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU142+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
% 0.12/0.34 % Computer : n018.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Aug 23 23:49:42 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.55 start to proof:theBenchmark
% 120.57/120.62 %-------------------------------------------
% 120.57/120.62 % File :CSE---1.6
% 120.57/120.62 % Problem :theBenchmark
% 120.57/120.62 % Transform :cnf
% 120.57/120.62 % Format :tptp:raw
% 120.57/120.62 % Command :java -jar mcs_scs.jar %d %s
% 120.57/120.62
% 120.57/120.62 % Result :Theorem 120.020000s
% 120.57/120.62 % Output :CNFRefutation 120.020000s
% 120.57/120.62 %-------------------------------------------
% 120.57/120.63 %------------------------------------------------------------------------------
% 120.57/120.63 % File : SEU142+1 : TPTP v8.1.2. Released v3.3.0.
% 120.57/120.63 % Domain : Set theory
% 120.57/120.63 % Problem : MPTP bushy problem t69_enumset1
% 120.57/120.63 % Version : [Urb07] axioms : Especial.
% 120.57/120.63 % English :
% 120.57/120.63
% 120.57/120.63 % Refs : [Ban01] Bancerek et al. (2001), On the Characterizations of Co
% 120.57/120.63 % : [Urb07] Urban (2006), Email to G. Sutcliffe
% 120.57/120.63 % Source : [Urb07]
% 120.57/120.63 % Names : bushy-t69_enumset1 [Urb07]
% 120.57/120.63
% 120.57/120.63 % Status : Theorem
% 120.57/120.63 % Rating : 0.22 v7.5.0, 0.25 v7.4.0, 0.17 v7.2.0, 0.14 v7.1.0, 0.09 v7.0.0, 0.07 v6.4.0, 0.12 v6.1.0, 0.23 v6.0.0, 0.30 v5.5.0, 0.15 v5.4.0, 0.18 v5.3.0, 0.22 v5.2.0, 0.00 v5.0.0, 0.08 v4.1.0, 0.13 v4.0.1, 0.17 v4.0.0, 0.21 v3.7.0, 0.15 v3.5.0, 0.16 v3.4.0, 0.21 v3.3.0
% 120.57/120.63 % Syntax : Number of formulae : 8 ( 4 unt; 0 def)
% 120.57/120.63 % Number of atoms : 16 ( 8 equ)
% 120.57/120.63 % Maximal formula atoms : 4 ( 2 avg)
% 120.57/120.63 % Number of connectives : 9 ( 1 ~; 1 |; 0 &)
% 120.57/120.63 % ( 5 <=>; 2 =>; 0 <=; 0 <~>)
% 120.57/120.63 % Maximal formula depth : 8 ( 4 avg)
% 120.57/120.63 % Maximal term depth : 2 ( 1 avg)
% 120.57/120.63 % Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% 120.57/120.63 % Number of functors : 2 ( 2 usr; 0 con; 1-2 aty)
% 120.57/120.63 % Number of variables : 15 ( 15 !; 0 ?)
% 120.57/120.63 % SPC : FOF_THM_RFO_SEQ
% 120.57/120.63
% 120.57/120.63 % Comments : Translated by MPTP 0.2 from the original problem in the Mizar
% 120.57/120.63 % library, www.mizar.org
% 120.57/120.63 %------------------------------------------------------------------------------
% 120.57/120.63 fof(antisymmetry_r2_hidden,axiom,
% 120.57/120.63 ! [A,B] :
% 120.57/120.63 ( in(A,B)
% 120.57/120.63 => ~ in(B,A) ) ).
% 120.57/120.63
% 120.57/120.63 fof(commutativity_k2_tarski,axiom,
% 120.57/120.63 ! [A,B] : unordered_pair(A,B) = unordered_pair(B,A) ).
% 120.57/120.63
% 120.57/120.63 fof(d1_tarski,axiom,
% 120.57/120.63 ! [A,B] :
% 120.57/120.63 ( B = singleton(A)
% 120.57/120.63 <=> ! [C] :
% 120.57/120.63 ( in(C,B)
% 120.57/120.63 <=> C = A ) ) ).
% 120.57/120.63
% 120.57/120.63 fof(d2_tarski,axiom,
% 120.57/120.63 ! [A,B,C] :
% 120.57/120.63 ( C = unordered_pair(A,B)
% 120.57/120.63 <=> ! [D] :
% 120.57/120.63 ( in(D,C)
% 120.57/120.63 <=> ( D = A
% 120.57/120.63 | D = B ) ) ) ).
% 120.57/120.63
% 120.57/120.63 fof(dt_k1_tarski,axiom,
% 120.57/120.63 $true ).
% 120.57/120.63
% 120.57/120.63 fof(dt_k2_tarski,axiom,
% 120.57/120.63 $true ).
% 120.57/120.63
% 120.57/120.63 fof(t2_tarski,axiom,
% 120.57/120.63 ! [A,B] :
% 120.57/120.63 ( ! [C] :
% 120.57/120.63 ( in(C,A)
% 120.57/120.64 <=> in(C,B) )
% 120.57/120.64 => A = B ) ).
% 120.57/120.64
% 120.57/120.64 fof(t69_enumset1,conjecture,
% 120.57/120.64 ! [A] : unordered_pair(A,A) = singleton(A) ).
% 120.57/120.64
% 120.57/120.64 %------------------------------------------------------------------------------
% 120.57/120.64 %-------------------------------------------
% 120.57/120.64 % Proof found
% 120.57/120.64 % SZS status Theorem for theBenchmark
% 120.57/120.64 % SZS output start Proof
% 120.57/120.64 %ClaNum:30(EqnAxiom:15)
% 120.57/120.64 %VarNum:112(SingletonVarNum:39)
% 120.57/120.64 %MaxLitNum:4
% 120.57/120.64 %MaxfuncDepth:1
% 120.57/120.64 %SharedTerms:4
% 120.57/120.64 %goalClause: 17
% 120.57/120.64 %singleGoalClaCount:1
% 120.57/120.64 [17]~E(f1(a2,a2),f6(a2))
% 120.57/120.64 [16]E(f1(x161,x162),f1(x162,x161))
% 120.57/120.64 [22]~P1(x222,x221)+~P1(x221,x222)
% 120.57/120.64 [24]E(f3(x242,x241),x242)+P1(f3(x242,x241),x241)+E(x241,f6(x242))
% 120.57/120.64 [25]E(x251,x252)+P1(f4(x251,x252),x252)+P1(f4(x251,x252),x251)
% 120.57/120.64 [26]~E(f3(x262,x261),x262)+~P1(f3(x262,x261),x261)+E(x261,f6(x262))
% 120.57/120.64 [27]E(x271,x272)+~P1(f4(x271,x272),x272)+~P1(f4(x271,x272),x271)
% 120.57/120.64 [18]P1(x181,x182)+~E(x181,x183)+~E(x182,f6(x183))
% 120.57/120.64 [19]~P1(x191,x193)+E(x191,x192)+~E(x193,f6(x192))
% 120.57/120.64 [29]~E(f5(x292,x293,x291),x293)+~P1(f5(x292,x293,x291),x291)+E(x291,f1(x292,x293))
% 120.57/120.64 [30]~E(f5(x302,x303,x301),x302)+~P1(f5(x302,x303,x301),x301)+E(x301,f1(x302,x303))
% 120.57/120.64 [20]P1(x201,x202)+~E(x201,x203)+~E(x202,f1(x204,x203))
% 120.57/120.64 [21]P1(x211,x212)+~E(x211,x213)+~E(x212,f1(x213,x214))
% 120.57/120.64 [28]E(f5(x282,x283,x281),x283)+E(f5(x282,x283,x281),x282)+P1(f5(x282,x283,x281),x281)+E(x281,f1(x282,x283))
% 120.57/120.64 [23]~P1(x231,x234)+E(x231,x232)+E(x231,x233)+~E(x234,f1(x233,x232))
% 120.57/120.64 %EqnAxiom
% 120.57/120.64 [1]E(x11,x11)
% 120.57/120.64 [2]E(x22,x21)+~E(x21,x22)
% 120.57/120.64 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 120.57/120.64 [4]~E(x41,x42)+E(f1(x41,x43),f1(x42,x43))
% 120.57/120.64 [5]~E(x51,x52)+E(f1(x53,x51),f1(x53,x52))
% 120.57/120.64 [6]~E(x61,x62)+E(f5(x61,x63,x64),f5(x62,x63,x64))
% 120.57/120.64 [7]~E(x71,x72)+E(f5(x73,x71,x74),f5(x73,x72,x74))
% 120.57/120.64 [8]~E(x81,x82)+E(f5(x83,x84,x81),f5(x83,x84,x82))
% 120.57/120.64 [9]~E(x91,x92)+E(f4(x91,x93),f4(x92,x93))
% 120.57/120.64 [10]~E(x101,x102)+E(f4(x103,x101),f4(x103,x102))
% 120.57/120.64 [11]~E(x111,x112)+E(f6(x111),f6(x112))
% 120.57/120.64 [12]~E(x121,x122)+E(f3(x121,x123),f3(x122,x123))
% 120.57/120.64 [13]~E(x131,x132)+E(f3(x133,x131),f3(x133,x132))
% 120.57/120.64 [14]P1(x142,x143)+~E(x141,x142)+~P1(x141,x143)
% 120.57/120.64 [15]P1(x153,x152)+~E(x151,x152)+~P1(x153,x151)
% 120.57/120.64
% 120.57/120.64 %-------------------------------------------
% 120.57/120.65 cnf(1951,plain,
% 120.57/120.65 (E(f1(a2,a2),f6(a2))+~E(x19511,a2)+~E(f1(a2,a2),f6(x19511))),
% 120.57/120.65 inference(scs_inference,[],[17,3,11])).
% 120.57/120.65 cnf(1955,plain,
% 120.57/120.65 (E(f3(a2,f1(a2,a2)),a2)+~E(x19551,a2)),
% 120.57/120.65 inference(scs_inference,[],[17,16,1951,24,26,23])).
% 120.57/120.65 cnf(1956,plain,
% 120.57/120.65 (E(f3(a2,f1(a2,a2)),a2)),
% 120.57/120.65 inference(equality_inference,[],[1955])).
% 120.57/120.65 cnf(2094,plain,
% 120.57/120.65 (~E(f3(a2,f1(a2,a2)),a2)),
% 120.57/120.65 inference(scs_inference,[],[16,17,20,26])).
% 120.57/120.65 cnf(2500,plain,
% 120.57/120.65 ($false),
% 120.57/120.65 inference(scs_inference,[],[1956,2094]),
% 120.57/120.65 ['proof']).
% 120.57/120.65 % SZS output end Proof
% 120.57/120.65 % Total time :120.020000s
%------------------------------------------------------------------------------