TSTP Solution File: SEU134+1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SEU134+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 : 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 16:17:41 EDT 2023
% Result : Theorem 11.98s 12.05s
% Output : CNFRefutation 11.98s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU134+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.14 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.35 % Computer : n017.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Aug 24 00:40:39 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.57 start to proof:theBenchmark
% 11.82/12.04 %-------------------------------------------
% 11.82/12.04 % File :CSE---1.6
% 11.82/12.05 % Problem :theBenchmark
% 11.82/12.05 % Transform :cnf
% 11.82/12.05 % Format :tptp:raw
% 11.82/12.05 % Command :java -jar mcs_scs.jar %d %s
% 11.82/12.05
% 11.82/12.05 % Result :Theorem 11.420000s
% 11.82/12.05 % Output :CNFRefutation 11.420000s
% 11.82/12.05 %-------------------------------------------
% 11.98/12.05 %------------------------------------------------------------------------------
% 11.98/12.05 % File : SEU134+1 : TPTP v8.1.2. Released v3.3.0.
% 11.98/12.05 % Domain : Set theory
% 11.98/12.05 % Problem : MPTP bushy problem t37_xboole_1
% 11.98/12.05 % Version : [Urb07] axioms : Especial.
% 11.98/12.05 % English :
% 11.98/12.05
% 11.98/12.05 % Refs : [Ban01] Bancerek et al. (2001), On the Characterizations of Co
% 11.98/12.05 % : [Urb07] Urban (2006), Email to G. Sutcliffe
% 11.98/12.05 % Source : [Urb07]
% 11.98/12.05 % Names : bushy-t37_xboole_1 [Urb07]
% 11.98/12.05
% 11.98/12.05 % Status : Theorem
% 11.98/12.05 % Rating : 0.03 v7.2.0, 0.00 v6.4.0, 0.04 v6.2.0, 0.08 v6.1.0, 0.03 v6.0.0, 0.04 v5.4.0, 0.11 v5.3.0, 0.15 v5.2.0, 0.00 v4.1.0, 0.04 v4.0.1, 0.09 v4.0.0, 0.12 v3.7.0, 0.05 v3.3.0
% 11.98/12.05 % Syntax : Number of formulae : 14 ( 8 unt; 0 def)
% 11.98/12.05 % Number of atoms : 21 ( 6 equ)
% 11.98/12.05 % Maximal formula atoms : 3 ( 1 avg)
% 11.98/12.05 % Number of connectives : 12 ( 5 ~; 0 |; 3 &)
% 11.98/12.05 % ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% 11.98/12.05 % Maximal formula depth : 7 ( 3 avg)
% 11.98/12.05 % Maximal term depth : 2 ( 1 avg)
% 11.98/12.05 % Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% 11.98/12.05 % Number of functors : 2 ( 2 usr; 1 con; 0-2 aty)
% 11.98/12.05 % Number of variables : 17 ( 15 !; 2 ?)
% 11.98/12.05 % SPC : FOF_THM_RFO_SEQ
% 11.98/12.05
% 11.98/12.05 % Comments : Translated by MPTP 0.2 from the original problem in the Mizar
% 11.98/12.05 % library, www.mizar.org
% 11.98/12.05 %------------------------------------------------------------------------------
% 11.98/12.05 fof(antisymmetry_r2_hidden,axiom,
% 11.98/12.05 ! [A,B] :
% 11.98/12.05 ( in(A,B)
% 11.98/12.05 => ~ in(B,A) ) ).
% 11.98/12.05
% 11.98/12.05 fof(rc1_xboole_0,axiom,
% 11.98/12.05 ? [A] : empty(A) ).
% 11.98/12.05
% 11.98/12.05 fof(rc2_xboole_0,axiom,
% 11.98/12.05 ? [A] : ~ empty(A) ).
% 11.98/12.05
% 11.98/12.05 fof(t7_boole,axiom,
% 11.98/12.05 ! [A,B] :
% 11.98/12.05 ~ ( in(A,B)
% 11.98/12.05 & empty(B) ) ).
% 11.98/12.05
% 11.98/12.05 fof(t8_boole,axiom,
% 11.98/12.05 ! [A,B] :
% 11.98/12.05 ~ ( empty(A)
% 11.98/12.05 & A != B
% 11.98/12.05 & empty(B) ) ).
% 11.98/12.05
% 11.98/12.05 fof(reflexivity_r1_tarski,axiom,
% 11.98/12.05 ! [A,B] : subset(A,A) ).
% 11.98/12.05
% 11.98/12.05 fof(dt_k1_xboole_0,axiom,
% 11.98/12.05 $true ).
% 11.98/12.05
% 11.98/12.05 fof(dt_k4_xboole_0,axiom,
% 11.98/12.05 $true ).
% 11.98/12.05
% 11.98/12.05 fof(fc1_xboole_0,axiom,
% 11.98/12.05 empty(empty_set) ).
% 11.98/12.05
% 11.98/12.05 fof(t3_boole,axiom,
% 11.98/12.05 ! [A] : set_difference(A,empty_set) = A ).
% 11.98/12.05
% 11.98/12.05 fof(t4_boole,axiom,
% 11.98/12.05 ! [A] : set_difference(empty_set,A) = empty_set ).
% 11.98/12.05
% 11.98/12.05 fof(t6_boole,axiom,
% 11.98/12.05 ! [A] :
% 11.98/12.05 ( empty(A)
% 11.98/12.05 => A = empty_set ) ).
% 11.98/12.05
% 11.98/12.05 fof(t37_xboole_1,conjecture,
% 11.98/12.05 ! [A,B] :
% 11.98/12.05 ( set_difference(A,B) = empty_set
% 11.98/12.05 <=> subset(A,B) ) ).
% 11.98/12.05
% 11.98/12.05 fof(l32_xboole_1,axiom,
% 11.98/12.05 ! [A,B] :
% 11.98/12.05 ( set_difference(A,B) = empty_set
% 11.98/12.05 <=> subset(A,B) ) ).
% 11.98/12.05
% 11.98/12.05 %------------------------------------------------------------------------------
% 11.98/12.05 %-------------------------------------------
% 11.98/12.05 % Proof found
% 11.98/12.05 % SZS status Theorem for theBenchmark
% 11.98/12.05 % SZS output start Proof
% 11.98/12.05 %ClaNum:24(EqnAxiom:10)
% 11.98/12.05 %VarNum:26(SingletonVarNum:14)
% 11.98/12.05 %MaxLitNum:3
% 11.98/12.05 %MaxfuncDepth:1
% 11.98/12.05 %SharedTerms:13
% 11.98/12.05 %goalClause: 19 21
% 11.98/12.05 [11]P1(a1)
% 11.98/12.05 [12]P1(a2)
% 11.98/12.05 [16]~P1(a4)
% 11.98/12.05 [15]P2(x151,x151)
% 11.98/12.05 [13]E(f3(a1,x131),a1)
% 11.98/12.05 [14]E(f3(x141,a1),x141)
% 11.98/12.05 [19]P2(a5,a6)+E(f3(a5,a6),a1)
% 11.98/12.05 [21]~P2(a5,a6)+~E(f3(a5,a6),a1)
% 11.98/12.05 [17]~P1(x171)+E(x171,a1)
% 11.98/12.05 [20]~P1(x201)+~P3(x202,x201)
% 11.98/12.05 [24]~P3(x242,x241)+~P3(x241,x242)
% 11.98/12.05 [22]~P2(x221,x222)+E(f3(x221,x222),a1)
% 11.98/12.05 [23]P2(x231,x232)+~E(f3(x231,x232),a1)
% 11.98/12.05 [18]~P1(x182)+~P1(x181)+E(x181,x182)
% 11.98/12.05 %EqnAxiom
% 11.98/12.06 [1]E(x11,x11)
% 11.98/12.06 [2]E(x22,x21)+~E(x21,x22)
% 11.98/12.06 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 11.98/12.06 [4]~E(x41,x42)+E(f3(x41,x43),f3(x42,x43))
% 11.98/12.06 [5]~E(x51,x52)+E(f3(x53,x51),f3(x53,x52))
% 11.98/12.06 [6]~P1(x61)+P1(x62)+~E(x61,x62)
% 11.98/12.06 [7]P3(x72,x73)+~E(x71,x72)+~P3(x71,x73)
% 11.98/12.06 [8]P3(x83,x82)+~E(x81,x82)+~P3(x83,x81)
% 11.98/12.06 [9]P2(x92,x93)+~E(x91,x92)+~P2(x91,x93)
% 11.98/12.06 [10]P2(x103,x102)+~E(x101,x102)+~P2(x103,x101)
% 11.98/12.06
% 11.98/12.06 %-------------------------------------------
% 11.98/12.06 cnf(1370,plain,
% 11.98/12.06 (E(f3(a5,a6),a1)),
% 11.98/12.06 inference(scs_inference,[],[19,22])).
% 11.98/12.06 cnf(1371,plain,
% 11.98/12.06 (~P2(a5,a6)),
% 11.98/12.06 inference(scs_inference,[],[1370,21])).
% 11.98/12.06 cnf(1372,plain,
% 11.98/12.06 (P2(a5,a6)),
% 11.98/12.06 inference(scs_inference,[],[1370,23])).
% 11.98/12.06 cnf(1384,plain,
% 11.98/12.06 ($false),
% 11.98/12.06 inference(scs_inference,[],[1372,1371]),
% 11.98/12.06 ['proof']).
% 11.98/12.06 % SZS output end Proof
% 11.98/12.06 % Total time :11.420000s
%------------------------------------------------------------------------------