TSTP Solution File: SEU152+1 by CSE---1.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SEU152+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 16:17:55 EDT 2023
% Result : Theorem 0.19s 0.67s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU152+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
% 0.13/0.33 % Computer : n029.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
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Wed Aug 23 20:33:52 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.61 start to proof:theBenchmark
% 0.19/0.66 %-------------------------------------------
% 0.19/0.66 % File :CSE---1.6
% 0.19/0.66 % Problem :theBenchmark
% 0.19/0.66 % Transform :cnf
% 0.19/0.66 % Format :tptp:raw
% 0.19/0.66 % Command :java -jar mcs_scs.jar %d %s
% 0.19/0.66
% 0.19/0.66 % Result :Theorem 0.000000s
% 0.19/0.66 % Output :CNFRefutation 0.000000s
% 0.19/0.66 %-------------------------------------------
% 0.19/0.66 %------------------------------------------------------------------------------
% 0.19/0.66 % File : SEU152+1 : TPTP v8.1.2. Released v3.3.0.
% 0.19/0.66 % Domain : Set theory
% 0.19/0.66 % Problem : MPTP bushy problem l23_zfmisc_1
% 0.19/0.66 % Version : [Urb07] axioms : Especial.
% 0.19/0.66 % English :
% 0.19/0.66
% 0.19/0.66 % Refs : [Ban01] Bancerek et al. (2001), On the Characterizations of Co
% 0.19/0.66 % : [Urb07] Urban (2006), Email to G. Sutcliffe
% 0.19/0.66 % Source : [Urb07]
% 0.19/0.66 % Names : bushy-l23_zfmisc_1 [Urb07]
% 0.19/0.66
% 0.19/0.66 % Status : Theorem
% 0.19/0.66 % Rating : 0.03 v7.4.0, 0.00 v6.4.0, 0.04 v6.2.0, 0.08 v6.1.0, 0.10 v6.0.0, 0.09 v5.5.0, 0.04 v5.4.0, 0.07 v5.3.0, 0.15 v5.2.0, 0.05 v5.0.0, 0.04 v4.0.0, 0.08 v3.7.0, 0.10 v3.5.0, 0.11 v3.3.0
% 0.19/0.66 % Syntax : Number of formulae : 9 ( 5 unt; 0 def)
% 0.19/0.66 % Number of atoms : 13 ( 4 equ)
% 0.19/0.66 % Maximal formula atoms : 2 ( 1 avg)
% 0.19/0.66 % Number of connectives : 5 ( 1 ~; 0 |; 0 &)
% 0.19/0.66 % ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% 0.19/0.66 % Maximal formula depth : 5 ( 3 avg)
% 0.19/0.66 % Maximal term depth : 3 ( 1 avg)
% 0.19/0.66 % Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% 0.19/0.66 % Number of functors : 2 ( 2 usr; 0 con; 1-2 aty)
% 0.19/0.66 % Number of variables : 14 ( 14 !; 0 ?)
% 0.19/0.66 % SPC : FOF_THM_RFO_SEQ
% 0.19/0.66
% 0.19/0.66 % Comments : Translated by MPTP 0.2 from the original problem in the Mizar
% 0.19/0.66 % library, www.mizar.org
% 0.19/0.66 %------------------------------------------------------------------------------
% 0.19/0.66 fof(antisymmetry_r2_hidden,axiom,
% 0.19/0.66 ! [A,B] :
% 0.19/0.66 ( in(A,B)
% 0.19/0.66 => ~ in(B,A) ) ).
% 0.19/0.66
% 0.19/0.66 fof(commutativity_k2_xboole_0,axiom,
% 0.19/0.66 ! [A,B] : set_union2(A,B) = set_union2(B,A) ).
% 0.19/0.66
% 0.19/0.66 fof(dt_k1_tarski,axiom,
% 0.19/0.66 $true ).
% 0.19/0.66
% 0.19/0.66 fof(dt_k2_xboole_0,axiom,
% 0.19/0.66 $true ).
% 0.19/0.66
% 0.19/0.66 fof(idempotence_k2_xboole_0,axiom,
% 0.19/0.66 ! [A,B] : set_union2(A,A) = A ).
% 0.19/0.66
% 0.19/0.66 fof(l23_zfmisc_1,conjecture,
% 0.19/0.66 ! [A,B] :
% 0.19/0.66 ( in(A,B)
% 0.19/0.66 => set_union2(singleton(A),B) = B ) ).
% 0.19/0.66
% 0.19/0.66 fof(l2_zfmisc_1,axiom,
% 0.19/0.66 ! [A,B] :
% 0.19/0.66 ( subset(singleton(A),B)
% 0.19/0.66 <=> in(A,B) ) ).
% 0.19/0.66
% 0.19/0.66 fof(reflexivity_r1_tarski,axiom,
% 0.19/0.66 ! [A,B] : subset(A,A) ).
% 0.19/0.66
% 0.19/0.66 fof(t12_xboole_1,axiom,
% 0.19/0.66 ! [A,B] :
% 0.19/0.67 ( subset(A,B)
% 0.19/0.67 => set_union2(A,B) = B ) ).
% 0.19/0.67
% 0.19/0.67 %------------------------------------------------------------------------------
% 0.19/0.67 %-------------------------------------------
% 0.19/0.67 % Proof found
% 0.19/0.67 % SZS status Theorem for theBenchmark
% 0.19/0.67 % SZS output start Proof
% 0.19/0.67 %ClaNum:19(EqnAxiom:10)
% 0.19/0.67 %VarNum:26(SingletonVarNum:12)
% 0.19/0.67 %MaxLitNum:2
% 0.19/0.67 %MaxfuncDepth:2
% 0.19/0.67 %SharedTerms:6
% 0.19/0.67 %goalClause: 11 15
% 0.19/0.67 %singleGoalClaCount:2
% 0.19/0.67 [11]P1(a1,a2)
% 0.19/0.67 [15]~E(f3(f4(a1),a2),a2)
% 0.19/0.67 [12]P2(x121,x121)
% 0.19/0.67 [13]E(f3(x131,x131),x131)
% 0.19/0.67 [14]E(f3(x141,x142),f3(x142,x141))
% 0.19/0.67 [18]~P1(x182,x181)+~P1(x181,x182)
% 0.19/0.67 [16]~P2(x161,x162)+E(f3(x161,x162),x162)
% 0.19/0.67 [17]~P1(x171,x172)+P2(f4(x171),x172)
% 0.19/0.67 [19]P1(x191,x192)+~P2(f4(x191),x192)
% 0.19/0.67 %EqnAxiom
% 0.19/0.67 [1]E(x11,x11)
% 0.19/0.67 [2]E(x22,x21)+~E(x21,x22)
% 0.19/0.67 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.19/0.67 [4]~E(x41,x42)+E(f3(x41,x43),f3(x42,x43))
% 0.19/0.67 [5]~E(x51,x52)+E(f3(x53,x51),f3(x53,x52))
% 0.19/0.67 [6]~E(x61,x62)+E(f4(x61),f4(x62))
% 0.19/0.67 [7]P1(x72,x73)+~E(x71,x72)+~P1(x71,x73)
% 0.19/0.67 [8]P1(x83,x82)+~E(x81,x82)+~P1(x83,x81)
% 0.19/0.67 [9]P2(x92,x93)+~E(x91,x92)+~P2(x91,x93)
% 0.19/0.67 [10]P2(x103,x102)+~E(x101,x102)+~P2(x103,x101)
% 0.19/0.67
% 0.19/0.67 %-------------------------------------------
% 0.19/0.67 cnf(24,plain,
% 0.19/0.67 (P2(x241,x241)),
% 0.19/0.67 inference(rename_variables,[],[12])).
% 0.19/0.67 cnf(29,plain,
% 0.19/0.67 (P2(x291,x291)),
% 0.19/0.67 inference(rename_variables,[],[12])).
% 0.19/0.67 cnf(34,plain,
% 0.19/0.67 (E(f3(x341,x341),x341)),
% 0.19/0.67 inference(rename_variables,[],[13])).
% 0.19/0.67 cnf(37,plain,
% 0.19/0.67 ($false),
% 0.19/0.67 inference(scs_inference,[],[11,12,24,29,15,13,34,2,18,19,16,10,9,8,7,3,17]),
% 0.19/0.67 ['proof']).
% 0.19/0.67 % SZS output end Proof
% 0.19/0.67 % Total time :0.000000s
%------------------------------------------------------------------------------