TSTP Solution File: SEU147+1 by CSE---1.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SEU147+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 : n029.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 16:17:51 EDT 2023
% Result : Theorem 5.22s 5.46s
% Output : CNFRefutation 5.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU147+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
% 0.14/0.33 % Computer : n029.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Wed Aug 23 20:24:37 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.20/0.57 start to proof:theBenchmark
% 5.22/5.45 %-------------------------------------------
% 5.22/5.45 % File :CSE---1.6
% 5.22/5.45 % Problem :theBenchmark
% 5.22/5.45 % Transform :cnf
% 5.22/5.45 % Format :tptp:raw
% 5.22/5.45 % Command :java -jar mcs_scs.jar %d %s
% 5.22/5.45
% 5.22/5.45 % Result :Theorem 4.830000s
% 5.22/5.45 % Output :CNFRefutation 4.830000s
% 5.22/5.45 %-------------------------------------------
% 5.22/5.46 %------------------------------------------------------------------------------
% 5.22/5.46 % File : SEU147+1 : TPTP v8.1.2. Released v3.3.0.
% 5.22/5.46 % Domain : Set theory
% 5.22/5.46 % Problem : MPTP bushy problem t1_zfmisc_1
% 5.22/5.46 % Version : [Urb07] axioms : Especial.
% 5.22/5.46 % English :
% 5.22/5.46
% 5.22/5.46 % Refs : [Ban01] Bancerek et al. (2001), On the Characterizations of Co
% 5.22/5.46 % : [Urb07] Urban (2006), Email to G. Sutcliffe
% 5.22/5.46 % Source : [Urb07]
% 5.22/5.46 % Names : bushy-t1_zfmisc_1 [Urb07]
% 5.22/5.46
% 5.22/5.46 % Status : Theorem
% 5.22/5.46 % Rating : 0.19 v8.1.0, 0.14 v7.5.0, 0.16 v7.4.0, 0.13 v7.3.0, 0.14 v7.2.0, 0.10 v7.1.0, 0.09 v7.0.0, 0.07 v6.4.0, 0.08 v6.2.0, 0.12 v6.1.0, 0.17 v5.5.0, 0.11 v5.4.0, 0.14 v5.3.0, 0.19 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 v3.3.0
% 5.22/5.46 % Syntax : Number of formulae : 13 ( 8 unt; 0 def)
% 5.22/5.46 % Number of atoms : 21 ( 6 equ)
% 5.22/5.46 % Maximal formula atoms : 3 ( 1 avg)
% 5.22/5.46 % Number of connectives : 10 ( 2 ~; 0 |; 0 &)
% 5.22/5.46 % ( 5 <=>; 3 =>; 0 <=; 0 <~>)
% 5.22/5.46 % Maximal formula depth : 6 ( 3 avg)
% 5.22/5.46 % Maximal term depth : 2 ( 1 avg)
% 5.22/5.46 % Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% 5.22/5.46 % Number of functors : 3 ( 3 usr; 1 con; 0-1 aty)
% 5.22/5.46 % Number of variables : 16 ( 14 !; 2 ?)
% 5.22/5.46 % SPC : FOF_THM_RFO_SEQ
% 5.22/5.46
% 5.22/5.46 % Comments : Translated by MPTP 0.2 from the original problem in the Mizar
% 5.22/5.46 % library, www.mizar.org
% 5.22/5.46 %------------------------------------------------------------------------------
% 5.22/5.46 fof(antisymmetry_r2_hidden,axiom,
% 5.22/5.46 ! [A,B] :
% 5.22/5.46 ( in(A,B)
% 5.22/5.46 => ~ in(B,A) ) ).
% 5.22/5.46
% 5.22/5.46 fof(d1_tarski,axiom,
% 5.22/5.46 ! [A,B] :
% 5.22/5.46 ( B = singleton(A)
% 5.22/5.46 <=> ! [C] :
% 5.22/5.46 ( in(C,B)
% 5.22/5.46 <=> C = A ) ) ).
% 5.22/5.46
% 5.22/5.46 fof(d1_zfmisc_1,axiom,
% 5.22/5.46 ! [A,B] :
% 5.22/5.46 ( B = powerset(A)
% 5.22/5.46 <=> ! [C] :
% 5.22/5.46 ( in(C,B)
% 5.22/5.46 <=> subset(C,A) ) ) ).
% 5.22/5.46
% 5.22/5.46 fof(dt_k1_tarski,axiom,
% 5.22/5.46 $true ).
% 5.22/5.46
% 5.22/5.46 fof(dt_k1_xboole_0,axiom,
% 5.22/5.46 $true ).
% 5.22/5.46
% 5.22/5.46 fof(dt_k1_zfmisc_1,axiom,
% 5.22/5.46 $true ).
% 5.22/5.46
% 5.22/5.46 fof(fc1_xboole_0,axiom,
% 5.22/5.46 empty(empty_set) ).
% 5.22/5.46
% 5.22/5.46 fof(rc1_xboole_0,axiom,
% 5.22/5.46 ? [A] : empty(A) ).
% 5.22/5.46
% 5.22/5.46 fof(rc2_xboole_0,axiom,
% 5.22/5.46 ? [A] : ~ empty(A) ).
% 5.22/5.46
% 5.22/5.46 fof(reflexivity_r1_tarski,axiom,
% 5.22/5.46 ! [A,B] : subset(A,A) ).
% 5.22/5.46
% 5.22/5.46 fof(t1_zfmisc_1,conjecture,
% 5.22/5.46 powerset(empty_set) = singleton(empty_set) ).
% 5.22/5.46
% 5.22/5.46 fof(t2_tarski,axiom,
% 5.22/5.46 ! [A,B] :
% 5.22/5.46 ( ! [C] :
% 5.22/5.46 ( in(C,A)
% 5.22/5.46 <=> in(C,B) )
% 5.22/5.46 => A = B ) ).
% 5.22/5.46
% 5.22/5.46 fof(t3_xboole_1,axiom,
% 5.22/5.46 ! [A] :
% 5.22/5.46 ( subset(A,empty_set)
% 5.22/5.46 => A = empty_set ) ).
% 5.22/5.46
% 5.22/5.46 %------------------------------------------------------------------------------
% 5.22/5.46 %-------------------------------------------
% 5.22/5.46 % Proof found
% 5.22/5.46 % SZS status Theorem for theBenchmark
% 5.22/5.46 % SZS output start Proof
% 5.22/5.46 %ClaNum:33(EqnAxiom:16)
% 5.22/5.46 %VarNum:80(SingletonVarNum:28)
% 5.22/5.46 %MaxLitNum:3
% 5.22/5.46 %MaxfuncDepth:1
% 5.22/5.46 %SharedTerms:9
% 5.22/5.46 %goalClause: 21
% 5.22/5.46 %singleGoalClaCount:1
% 5.22/5.46 [17]P1(a1)
% 5.22/5.46 [18]P1(a2)
% 5.22/5.46 [20]~P1(a5)
% 5.22/5.46 [21]~E(f6(a1),f7(a1))
% 5.22/5.46 [19]P2(x191,x191)
% 5.22/5.46 [22]~P2(x221,a1)+E(x221,a1)
% 5.22/5.46 [25]~P3(x252,x251)+~P3(x251,x252)
% 5.22/5.46 [28]E(f3(x282,x281),x282)+P3(f3(x282,x281),x281)+E(x281,f6(x282))
% 5.22/5.46 [29]E(x291,x292)+P3(f8(x291,x292),x292)+P3(f8(x291,x292),x291)
% 5.22/5.46 [30]P3(f4(x302,x301),x301)+P2(f4(x302,x301),x302)+E(x301,f7(x302))
% 5.22/5.46 [31]~E(f3(x312,x311),x312)+~P3(f3(x312,x311),x311)+E(x311,f6(x312))
% 5.22/5.46 [32]E(x321,x322)+~P3(f8(x321,x322),x322)+~P3(f8(x321,x322),x321)
% 5.22/5.46 [33]~P3(f4(x332,x331),x331)+~P2(f4(x332,x331),x332)+E(x331,f7(x332))
% 5.22/5.46 [23]P3(x231,x232)+~E(x231,x233)+~E(x232,f6(x233))
% 5.22/5.46 [24]~P3(x241,x243)+E(x241,x242)+~E(x243,f6(x242))
% 5.22/5.46 [26]~P2(x261,x263)+P3(x261,x262)+~E(x262,f7(x263))
% 5.22/5.46 [27]~P3(x271,x273)+P2(x271,x272)+~E(x273,f7(x272))
% 5.22/5.46 %EqnAxiom
% 5.22/5.46 [1]E(x11,x11)
% 5.22/5.46 [2]E(x22,x21)+~E(x21,x22)
% 5.22/5.46 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 5.22/5.46 [4]~E(x41,x42)+E(f6(x41),f6(x42))
% 5.22/5.46 [5]~E(x51,x52)+E(f7(x51),f7(x52))
% 5.22/5.46 [6]~E(x61,x62)+E(f4(x61,x63),f4(x62,x63))
% 5.22/5.46 [7]~E(x71,x72)+E(f4(x73,x71),f4(x73,x72))
% 5.22/5.46 [8]~E(x81,x82)+E(f8(x81,x83),f8(x82,x83))
% 5.22/5.46 [9]~E(x91,x92)+E(f8(x93,x91),f8(x93,x92))
% 5.22/5.46 [10]~E(x101,x102)+E(f3(x101,x103),f3(x102,x103))
% 5.22/5.46 [11]~E(x111,x112)+E(f3(x113,x111),f3(x113,x112))
% 5.22/5.46 [12]~P1(x121)+P1(x122)+~E(x121,x122)
% 5.22/5.46 [13]P2(x132,x133)+~E(x131,x132)+~P2(x131,x133)
% 5.22/5.46 [14]P2(x143,x142)+~E(x141,x142)+~P2(x143,x141)
% 5.22/5.46 [15]P3(x152,x153)+~E(x151,x152)+~P3(x151,x153)
% 5.22/5.46 [16]P3(x163,x162)+~E(x161,x162)+~P3(x163,x161)
% 5.22/5.46
% 5.22/5.46 %-------------------------------------------
% 5.22/5.47 cnf(34,plain,
% 5.22/5.47 (~E(f7(a1),f6(a1))),
% 5.22/5.47 inference(scs_inference,[],[21,2])).
% 5.22/5.47 cnf(35,plain,
% 5.22/5.47 (~E(a1,a5)),
% 5.22/5.47 inference(scs_inference,[],[21,17,20,2,12])).
% 5.22/5.47 cnf(48,plain,
% 5.22/5.47 (P3(x481,x482)+~E(x482,f7(x481))),
% 5.22/5.47 inference(scs_inference,[],[19,18,20,12,26])).
% 5.22/5.47 cnf(55,plain,
% 5.22/5.47 (P3(x551,f7(x551))),
% 5.22/5.47 inference(equality_inference,[],[48])).
% 5.22/5.47 cnf(84,plain,
% 5.22/5.47 (P3(f3(a1,f7(a1)),f7(a1))+E(f3(a1,f7(a1)),a1)),
% 5.22/5.47 inference(scs_inference,[],[34,35,55,24,28])).
% 5.22/5.47 cnf(648,plain,
% 5.22/5.47 (~E(a1,f3(a1,f7(a1)))+~E(f3(a1,f7(a1)),a1)),
% 5.22/5.47 inference(scs_inference,[],[34,55,31,15])).
% 5.22/5.47 cnf(653,plain,
% 5.22/5.47 (~E(a1,f3(a1,f7(a1)))),
% 5.22/5.47 inference(scs_inference,[],[648,2])).
% 5.22/5.47 cnf(656,plain,
% 5.22/5.47 (~E(f3(a1,f7(a1)),a1)),
% 5.22/5.47 inference(scs_inference,[],[653,2])).
% 5.22/5.47 cnf(660,plain,
% 5.22/5.47 (P3(f3(a1,f7(a1)),f7(a1))),
% 5.22/5.47 inference(scs_inference,[],[656,84])).
% 5.22/5.47 cnf(667,plain,
% 5.22/5.47 ($false),
% 5.22/5.47 inference(scs_inference,[],[660,656,22,27]),
% 5.22/5.47 ['proof']).
% 5.22/5.47 % SZS output end Proof
% 5.22/5.47 % Total time :4.830000s
%------------------------------------------------------------------------------