TSTP Solution File: SEU161+3 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SEU161+3 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n012.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 16:18:00 EDT 2023
% Result : Theorem 0.17s 0.63s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.17 % Problem : SEU161+3 : TPTP v8.1.2. Released v3.2.0.
% 0.08/0.18 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.11/0.37 % Computer : n012.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8042.1875MB
% 0.11/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Wed Aug 23 17:38:27 EDT 2023
% 0.11/0.37 % CPUTime :
% 0.17/0.59 start to proof:theBenchmark
% 0.17/0.62 %-------------------------------------------
% 0.17/0.62 % File :CSE---1.6
% 0.17/0.62 % Problem :theBenchmark
% 0.17/0.62 % Transform :cnf
% 0.17/0.62 % Format :tptp:raw
% 0.17/0.62 % Command :java -jar mcs_scs.jar %d %s
% 0.17/0.62
% 0.17/0.62 % Result :Theorem 0.000000s
% 0.17/0.62 % Output :CNFRefutation 0.000000s
% 0.17/0.62 %-------------------------------------------
% 0.17/0.63 %------------------------------------------------------------------------------
% 0.17/0.63 % File : SEU161+3 : TPTP v8.1.2. Released v3.2.0.
% 0.17/0.63 % Domain : Set theory
% 0.17/0.63 % Problem : Basic properties of sets, theorem 46
% 0.17/0.63 % Version : [Urb06] axioms : Especial.
% 0.17/0.63 % English :
% 0.17/0.63
% 0.17/0.63 % Refs : [Byl90] Bylinski (1990), Some Basic Properties of Sets
% 0.17/0.63 % : [Urb06] Urban (2006), Email to G. Sutcliffe
% 0.17/0.63 % Source : [Urb06]
% 0.17/0.63 % Names : zfmisc_1__t46_zfmisc_1 [Urb06]
% 0.17/0.63
% 0.17/0.63 % Status : Theorem
% 0.17/0.63 % Rating : 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 v5.3.0, 0.11 v5.2.0, 0.05 v5.0.0, 0.04 v4.0.1, 0.09 v4.0.0, 0.08 v3.7.0, 0.05 v3.4.0, 0.11 v3.3.0, 0.07 v3.2.0
% 0.17/0.63 % Syntax : Number of formulae : 9 ( 4 unt; 0 def)
% 0.17/0.63 % Number of atoms : 14 ( 4 equ)
% 0.17/0.63 % Maximal formula atoms : 2 ( 1 avg)
% 0.17/0.63 % Number of connectives : 11 ( 6 ~; 0 |; 0 &)
% 0.17/0.63 % ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% 0.17/0.63 % Maximal formula depth : 5 ( 4 avg)
% 0.17/0.63 % Maximal term depth : 3 ( 1 avg)
% 0.17/0.63 % Number of predicates : 3 ( 2 usr; 0 prp; 1-2 aty)
% 0.17/0.63 % Number of functors : 2 ( 2 usr; 0 con; 1-2 aty)
% 0.17/0.63 % Number of variables : 16 ( 14 !; 2 ?)
% 0.17/0.63 % SPC : FOF_THM_RFO_SEQ
% 0.17/0.63
% 0.17/0.63 % Comments : Translated by MPTP 0.2 from the original problem in the Mizar
% 0.17/0.63 % library, www.mizar.org
% 0.17/0.63 %------------------------------------------------------------------------------
% 0.17/0.63 fof(fc2_xboole_0,axiom,
% 0.17/0.63 ! [A,B] :
% 0.17/0.63 ( ~ empty(A)
% 0.17/0.63 => ~ empty(set_union2(A,B)) ) ).
% 0.17/0.63
% 0.17/0.63 fof(fc3_xboole_0,axiom,
% 0.17/0.63 ! [A,B] :
% 0.17/0.63 ( ~ empty(A)
% 0.17/0.63 => ~ empty(set_union2(B,A)) ) ).
% 0.17/0.63
% 0.17/0.63 fof(commutativity_k2_xboole_0,axiom,
% 0.17/0.63 ! [A,B] : set_union2(A,B) = set_union2(B,A) ).
% 0.17/0.63
% 0.17/0.63 fof(idempotence_k2_xboole_0,axiom,
% 0.17/0.63 ! [A,B] : set_union2(A,A) = A ).
% 0.17/0.63
% 0.17/0.63 fof(antisymmetry_r2_hidden,axiom,
% 0.17/0.63 ! [A,B] :
% 0.17/0.63 ( in(A,B)
% 0.17/0.63 => ~ in(B,A) ) ).
% 0.17/0.63
% 0.17/0.63 fof(rc1_xboole_0,axiom,
% 0.17/0.63 ? [A] : empty(A) ).
% 0.17/0.63
% 0.17/0.63 fof(rc2_xboole_0,axiom,
% 0.17/0.63 ? [A] : ~ empty(A) ).
% 0.17/0.63
% 0.17/0.63 fof(t46_zfmisc_1,conjecture,
% 0.17/0.63 ! [A,B] :
% 0.17/0.63 ( in(A,B)
% 0.17/0.63 => set_union2(singleton(A),B) = B ) ).
% 0.17/0.63
% 0.17/0.63 fof(l23_zfmisc_1,axiom,
% 0.17/0.63 ! [A,B] :
% 0.17/0.63 ( in(A,B)
% 0.17/0.63 => set_union2(singleton(A),B) = B ) ).
% 0.17/0.63
% 0.17/0.63 %------------------------------------------------------------------------------
% 0.17/0.63 %-------------------------------------------
% 0.17/0.63 % Proof found
% 0.17/0.63 % SZS status Theorem for theBenchmark
% 0.17/0.63 % SZS output start Proof
% 0.17/0.63 %ClaNum:19(EqnAxiom:9)
% 0.17/0.63 %VarNum:22(SingletonVarNum:11)
% 0.17/0.63 %MaxLitNum:2
% 0.17/0.63 %MaxfuncDepth:2
% 0.17/0.63 %SharedTerms:10
% 0.17/0.63 %goalClause: 11 15
% 0.17/0.63 %singleGoalClaCount:2
% 0.17/0.63 [10]P1(a1)
% 0.17/0.63 [11]P2(a2,a4)
% 0.17/0.63 [14]~P1(a3)
% 0.17/0.63 [15]~E(f5(f6(a2),a4),a4)
% 0.17/0.63 [12]E(f5(x121,x121),x121)
% 0.17/0.63 [13]E(f5(x131,x132),f5(x132,x131))
% 0.17/0.63 [17]~P2(x172,x171)+~P2(x171,x172)
% 0.17/0.63 [18]P1(x181)+~P1(f5(x182,x181))
% 0.17/0.63 [19]P1(x191)+~P1(f5(x191,x192))
% 0.17/0.63 [16]~P2(x161,x162)+E(f5(f6(x161),x162),x162)
% 0.17/0.63 %EqnAxiom
% 0.17/0.63 [1]E(x11,x11)
% 0.17/0.64 [2]E(x22,x21)+~E(x21,x22)
% 0.17/0.64 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.17/0.64 [4]~E(x41,x42)+E(f5(x41,x43),f5(x42,x43))
% 0.17/0.64 [5]~E(x51,x52)+E(f5(x53,x51),f5(x53,x52))
% 0.17/0.64 [6]~E(x61,x62)+E(f6(x61),f6(x62))
% 0.17/0.64 [7]~P1(x71)+P1(x72)+~E(x71,x72)
% 0.17/0.64 [8]P2(x82,x83)+~E(x81,x82)+~P2(x81,x83)
% 0.17/0.64 [9]P2(x93,x92)+~E(x91,x92)+~P2(x93,x91)
% 0.17/0.64
% 0.17/0.64 %-------------------------------------------
% 0.17/0.64 cnf(20,plain,
% 0.17/0.64 ($false),
% 0.17/0.64 inference(scs_inference,[],[11,15,16]),
% 0.17/0.64 ['proof']).
% 0.17/0.64 % SZS output end Proof
% 0.17/0.64 % Total time :0.000000s
%------------------------------------------------------------------------------