TSTP Solution File: SEU247+1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SEU247+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 : n021.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 16:18:43 EDT 2023
% Result : Theorem 0.21s 0.62s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU247+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
% 0.14/0.35 % Computer : n021.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed Aug 23 17:56:54 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.57 start to proof:theBenchmark
% 0.21/0.62 %-------------------------------------------
% 0.21/0.62 % File :CSE---1.6
% 0.21/0.62 % Problem :theBenchmark
% 0.21/0.62 % Transform :cnf
% 0.21/0.62 % Format :tptp:raw
% 0.21/0.62 % Command :java -jar mcs_scs.jar %d %s
% 0.21/0.62
% 0.21/0.62 % Result :Theorem 0.000000s
% 0.21/0.62 % Output :CNFRefutation 0.000000s
% 0.21/0.62 %-------------------------------------------
% 0.21/0.62 %------------------------------------------------------------------------------
% 0.21/0.62 % File : SEU247+1 : TPTP v8.1.2. Released v3.3.0.
% 0.21/0.62 % Domain : Set theory
% 0.21/0.62 % Problem : MPTP bushy problem t18_wellord1
% 0.21/0.62 % Version : [Urb07] axioms : Especial.
% 0.21/0.62 % English :
% 0.21/0.62
% 0.21/0.62 % Refs : [Ban01] Bancerek et al. (2001), On the Characterizations of Co
% 0.21/0.62 % : [Urb07] Urban (2006), Email to G. Sutcliffe
% 0.21/0.62 % Source : [Urb07]
% 0.21/0.62 % Names : bushy-t18_wellord1 [Urb07]
% 0.21/0.62
% 0.21/0.62 % Status : Theorem
% 0.21/0.62 % Rating : 0.11 v8.1.0, 0.14 v7.5.0, 0.16 v7.4.0, 0.07 v7.1.0, 0.09 v7.0.0, 0.07 v6.4.0, 0.12 v6.3.0, 0.08 v6.2.0, 0.12 v6.1.0, 0.17 v6.0.0, 0.09 v5.5.0, 0.11 v5.4.0, 0.14 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
% 0.21/0.62 % Syntax : Number of formulae : 11 ( 4 unt; 0 def)
% 0.21/0.62 % Number of atoms : 18 ( 6 equ)
% 0.21/0.62 % Maximal formula atoms : 2 ( 1 avg)
% 0.21/0.62 % Number of connectives : 7 ( 0 ~; 0 |; 0 &)
% 0.21/0.62 % ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% 0.21/0.62 % Maximal formula depth : 5 ( 3 avg)
% 0.21/0.62 % Maximal term depth : 3 ( 1 avg)
% 0.21/0.62 % Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% 0.21/0.62 % Number of functors : 5 ( 5 usr; 0 con; 2-2 aty)
% 0.21/0.62 % Number of variables : 19 ( 19 !; 0 ?)
% 0.21/0.62 % SPC : FOF_THM_RFO_SEQ
% 0.21/0.62
% 0.21/0.62 % Comments : Translated by MPTP 0.2 from the original problem in the Mizar
% 0.21/0.62 % library, www.mizar.org
% 0.21/0.62 %------------------------------------------------------------------------------
% 0.21/0.62 fof(commutativity_k3_xboole_0,axiom,
% 0.21/0.62 ! [A,B] : set_intersection2(A,B) = set_intersection2(B,A) ).
% 0.21/0.62
% 0.21/0.62 fof(d6_wellord1,axiom,
% 0.21/0.62 ! [A] :
% 0.21/0.62 ( relation(A)
% 0.21/0.62 => ! [B] : relation_restriction(A,B) = set_intersection2(A,cartesian_product2(B,B)) ) ).
% 0.21/0.62
% 0.21/0.62 fof(dt_k2_wellord1,axiom,
% 0.21/0.62 ! [A,B] :
% 0.21/0.62 ( relation(A)
% 0.21/0.62 => relation(relation_restriction(A,B)) ) ).
% 0.21/0.62
% 0.21/0.62 fof(dt_k2_zfmisc_1,axiom,
% 0.21/0.62 $true ).
% 0.21/0.62
% 0.21/0.62 fof(dt_k3_xboole_0,axiom,
% 0.21/0.62 $true ).
% 0.21/0.62
% 0.21/0.62 fof(dt_k7_relat_1,axiom,
% 0.21/0.62 ! [A,B] :
% 0.21/0.62 ( relation(A)
% 0.21/0.62 => relation(relation_dom_restriction(A,B)) ) ).
% 0.21/0.62
% 0.21/0.62 fof(dt_k8_relat_1,axiom,
% 0.21/0.62 ! [A,B] :
% 0.21/0.62 ( relation(B)
% 0.21/0.62 => relation(relation_rng_restriction(A,B)) ) ).
% 0.21/0.62
% 0.21/0.62 fof(idempotence_k3_xboole_0,axiom,
% 0.21/0.62 ! [A,B] : set_intersection2(A,A) = A ).
% 0.21/0.62
% 0.21/0.62 fof(t140_relat_1,axiom,
% 0.21/0.62 ! [A,B,C] :
% 0.21/0.62 ( relation(C)
% 0.21/0.62 => relation_dom_restriction(relation_rng_restriction(A,C),B) = relation_rng_restriction(A,relation_dom_restriction(C,B)) ) ).
% 0.21/0.62
% 0.21/0.62 fof(t17_wellord1,axiom,
% 0.21/0.62 ! [A,B] :
% 0.21/0.62 ( relation(B)
% 0.21/0.62 => relation_restriction(B,A) = relation_dom_restriction(relation_rng_restriction(A,B),A) ) ).
% 0.21/0.62
% 0.21/0.62 fof(t18_wellord1,conjecture,
% 0.21/0.62 ! [A,B] :
% 0.21/0.62 ( relation(B)
% 0.21/0.62 => relation_restriction(B,A) = relation_rng_restriction(A,relation_dom_restriction(B,A)) ) ).
% 0.21/0.62
% 0.21/0.62 %------------------------------------------------------------------------------
% 0.21/0.62 %-------------------------------------------
% 0.21/0.62 % Proof found
% 0.21/0.62 % SZS status Theorem for theBenchmark
% 0.21/0.62 % SZS output start Proof
% 0.21/0.62 %ClaNum:24(EqnAxiom:14)
% 0.21/0.62 %VarNum:35(SingletonVarNum:16)
% 0.21/0.62 %MaxLitNum:2
% 0.21/0.62 %MaxfuncDepth:2
% 0.21/0.62 %SharedTerms:7
% 0.21/0.63 %goalClause: 15 18
% 0.21/0.63 %singleGoalClaCount:2
% 0.21/0.63 [15]P1(a1)
% 0.21/0.63 [18]~E(f6(a2,f5(a1,a2)),f7(a1,a2))
% 0.21/0.63 [16]E(f4(x161,x161),x161)
% 0.21/0.63 [17]E(f4(x171,x172),f4(x172,x171))
% 0.21/0.63 [19]~P1(x191)+P1(f7(x191,x192))
% 0.21/0.63 [20]~P1(x201)+P1(f5(x201,x202))
% 0.21/0.63 [21]~P1(x212)+P1(f6(x211,x212))
% 0.21/0.63 [22]~P1(x221)+E(f4(x221,f3(x222,x222)),f7(x221,x222))
% 0.21/0.63 [23]~P1(x232)+E(f5(f6(x231,x232),x231),f7(x232,x231))
% 0.21/0.63 [24]~P1(x242)+E(f6(x241,f5(x242,x243)),f5(f6(x241,x242),x243))
% 0.21/0.63 %EqnAxiom
% 0.21/0.63 [1]E(x11,x11)
% 0.21/0.63 [2]E(x22,x21)+~E(x21,x22)
% 0.21/0.63 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.21/0.63 [4]~E(x41,x42)+E(f4(x41,x43),f4(x42,x43))
% 0.21/0.63 [5]~E(x51,x52)+E(f4(x53,x51),f4(x53,x52))
% 0.21/0.63 [6]~E(x61,x62)+E(f5(x61,x63),f5(x62,x63))
% 0.21/0.63 [7]~E(x71,x72)+E(f5(x73,x71),f5(x73,x72))
% 0.21/0.63 [8]~E(x81,x82)+E(f6(x81,x83),f6(x82,x83))
% 0.21/0.63 [9]~E(x91,x92)+E(f6(x93,x91),f6(x93,x92))
% 0.21/0.63 [10]~E(x101,x102)+E(f7(x101,x103),f7(x102,x103))
% 0.21/0.63 [11]~E(x111,x112)+E(f7(x113,x111),f7(x113,x112))
% 0.21/0.63 [12]~E(x121,x122)+E(f3(x121,x123),f3(x122,x123))
% 0.21/0.63 [13]~E(x131,x132)+E(f3(x133,x131),f3(x133,x132))
% 0.21/0.63 [14]~P1(x141)+P1(x142)+~E(x141,x142)
% 0.21/0.63
% 0.21/0.63 %-------------------------------------------
% 0.21/0.63 cnf(34,plain,
% 0.21/0.63 (E(f4(x341,x341),x341)),
% 0.21/0.63 inference(rename_variables,[],[16])).
% 0.21/0.63 cnf(50,plain,
% 0.21/0.63 ($false),
% 0.21/0.63 inference(scs_inference,[],[15,18,16,34,2,14,21,20,19,13,12,11,10,9,8,7,6,5,4,24,23,22,3]),
% 0.21/0.63 ['proof']).
% 0.21/0.63 % SZS output end Proof
% 0.21/0.63 % Total time :0.000000s
%------------------------------------------------------------------------------