TSTP Solution File: SEU303+1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SEU303+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 : n018.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 16:19:06 EDT 2023
% Result : Theorem 0.21s 1.11s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.45 % Problem : SEU303+1 : TPTP v8.1.2. Released v3.3.0.
% 0.13/0.46 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.18/0.81 % Computer : n018.cluster.edu
% 0.18/0.81 % Model : x86_64 x86_64
% 0.18/0.81 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.81 % Memory : 8042.1875MB
% 0.18/0.81 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.81 % CPULimit : 300
% 0.18/0.81 % WCLimit : 300
% 0.18/0.81 % DateTime : Wed Aug 23 12:21:43 EDT 2023
% 0.18/0.81 % CPUTime :
% 0.21/1.05 start to proof:theBenchmark
% 0.21/1.10 %-------------------------------------------
% 0.21/1.10 % File :CSE---1.6
% 0.21/1.10 % Problem :theBenchmark
% 0.21/1.10 % Transform :cnf
% 0.21/1.10 % Format :tptp:raw
% 0.21/1.10 % Command :java -jar mcs_scs.jar %d %s
% 0.21/1.10
% 0.21/1.10 % Result :Theorem 0.000000s
% 0.21/1.10 % Output :CNFRefutation 0.000000s
% 0.21/1.10 %-------------------------------------------
% 0.21/1.11 %------------------------------------------------------------------------------
% 0.21/1.11 % File : SEU303+1 : TPTP v8.1.2. Released v3.3.0.
% 0.21/1.11 % Domain : Set theory
% 0.21/1.11 % Problem : MPTP bushy problem t26_finset_1
% 0.21/1.11 % Version : [Urb07] axioms : Especial.
% 0.21/1.11 % English :
% 0.21/1.11
% 0.21/1.11 % Refs : [Ban01] Bancerek et al. (2001), On the Characterizations of Co
% 0.21/1.11 % : [Urb07] Urban (2006), Email to G. Sutcliffe
% 0.21/1.11 % Source : [Urb07]
% 0.21/1.11 % Names : bushy-t26_finset_1 [Urb07]
% 0.21/1.11
% 0.21/1.11 % Status : Theorem
% 0.21/1.11 % Rating : 0.03 v7.1.0, 0.04 v7.0.0, 0.03 v6.4.0, 0.08 v6.3.0, 0.04 v6.1.0, 0.10 v6.0.0, 0.04 v5.4.0, 0.07 v5.3.0, 0.11 v5.2.0, 0.00 v4.0.0, 0.04 v3.7.0, 0.05 v3.3.0
% 0.21/1.11 % Syntax : Number of formulae : 8 ( 3 unt; 0 def)
% 0.21/1.11 % Number of atoms : 19 ( 1 equ)
% 0.21/1.11 % Maximal formula atoms : 4 ( 2 avg)
% 0.21/1.11 % Number of connectives : 11 ( 0 ~; 0 |; 5 &)
% 0.21/1.11 % ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% 0.21/1.11 % Maximal formula depth : 6 ( 3 avg)
% 0.21/1.11 % Maximal term depth : 3 ( 1 avg)
% 0.21/1.11 % Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% 0.21/1.11 % Number of functors : 3 ( 3 usr; 0 con; 1-2 aty)
% 0.21/1.11 % Number of variables : 7 ( 6 !; 1 ?)
% 0.21/1.11 % SPC : FOF_THM_RFO_SEQ
% 0.21/1.11
% 0.21/1.11 % Comments : Translated by MPTP 0.2 from the original problem in the Mizar
% 0.21/1.11 % library, www.mizar.org
% 0.21/1.11 %------------------------------------------------------------------------------
% 0.21/1.11 fof(dt_k1_relat_1,axiom,
% 0.21/1.11 $true ).
% 0.21/1.11
% 0.21/1.11 fof(dt_k2_relat_1,axiom,
% 0.21/1.11 $true ).
% 0.21/1.11
% 0.21/1.11 fof(dt_k9_relat_1,axiom,
% 0.21/1.11 $true ).
% 0.21/1.11
% 0.21/1.11 fof(fc13_finset_1,axiom,
% 0.21/1.11 ! [A,B] :
% 0.21/1.11 ( ( relation(A)
% 0.21/1.11 & function(A)
% 0.21/1.11 & finite(B) )
% 0.21/1.11 => finite(relation_image(A,B)) ) ).
% 0.21/1.11
% 0.21/1.11 fof(rc1_funct_1,axiom,
% 0.21/1.11 ? [A] :
% 0.21/1.11 ( relation(A)
% 0.21/1.11 & function(A) ) ).
% 0.21/1.11
% 0.21/1.11 fof(t146_relat_1,axiom,
% 0.21/1.11 ! [A] :
% 0.21/1.11 ( relation(A)
% 0.21/1.11 => relation_image(A,relation_dom(A)) = relation_rng(A) ) ).
% 0.21/1.11
% 0.21/1.11 fof(t17_finset_1,axiom,
% 0.21/1.11 ! [A,B] :
% 0.21/1.11 ( ( relation(B)
% 0.21/1.11 & function(B) )
% 0.21/1.11 => ( finite(A)
% 0.21/1.11 => finite(relation_image(B,A)) ) ) ).
% 0.21/1.11
% 0.21/1.11 fof(t26_finset_1,conjecture,
% 0.21/1.11 ! [A] :
% 0.21/1.11 ( ( relation(A)
% 0.21/1.11 & function(A) )
% 0.21/1.11 => ( finite(relation_dom(A))
% 0.21/1.11 => finite(relation_rng(A)) ) ) ).
% 0.21/1.11
% 0.21/1.11 %------------------------------------------------------------------------------
% 0.21/1.11 %-------------------------------------------
% 0.21/1.11 % Proof found
% 0.21/1.11 % SZS status Theorem for theBenchmark
% 0.21/1.11 % SZS output start Proof
% 0.21/1.11 %ClaNum:19(EqnAxiom:10)
% 0.21/1.11 %VarNum:9(SingletonVarNum:3)
% 0.21/1.11 %MaxLitNum:4
% 0.21/1.11 %MaxfuncDepth:2
% 0.21/1.11 %SharedTerms:10
% 0.21/1.11 %goalClause: 12 14 15 16
% 0.21/1.11 %singleGoalClaCount:4
% 0.21/1.11 [11]P1(a1)
% 0.21/1.11 [12]P1(a2)
% 0.21/1.11 [13]P2(a1)
% 0.21/1.11 [14]P2(a2)
% 0.21/1.11 [15]P3(f3(a2))
% 0.21/1.11 [16]~P3(f4(a2))
% 0.21/1.11 [17]~P1(x171)+E(f5(x171,f3(x171)),f4(x171))
% 0.21/1.11 [19]~P1(x191)+~P2(x191)+~P3(x192)+P3(f5(x191,x192))
% 0.21/1.11 %EqnAxiom
% 0.21/1.11 [1]E(x11,x11)
% 0.21/1.11 [2]E(x22,x21)+~E(x21,x22)
% 0.21/1.11 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.21/1.11 [4]~E(x41,x42)+E(f3(x41),f3(x42))
% 0.21/1.11 [5]~E(x51,x52)+E(f4(x51),f4(x52))
% 0.21/1.11 [6]~E(x61,x62)+E(f5(x61,x63),f5(x62,x63))
% 0.21/1.11 [7]~E(x71,x72)+E(f5(x73,x71),f5(x73,x72))
% 0.21/1.11 [8]~P1(x81)+P1(x82)+~E(x81,x82)
% 0.21/1.11 [9]~P3(x91)+P3(x92)+~E(x91,x92)
% 0.21/1.11 [10]~P2(x101)+P2(x102)+~E(x101,x102)
% 0.21/1.11
% 0.21/1.11 %-------------------------------------------
% 0.21/1.11 cnf(20,plain,
% 0.21/1.12 (E(f5(a2,f3(a2)),f4(a2))),
% 0.21/1.12 inference(scs_inference,[],[12,17])).
% 0.21/1.12 cnf(24,plain,
% 0.21/1.12 (P3(f5(a2,f3(a2)))),
% 0.21/1.12 inference(scs_inference,[],[12,14,15,16,17,10,9,3,19])).
% 0.21/1.12 cnf(28,plain,
% 0.21/1.12 ($false),
% 0.21/1.12 inference(scs_inference,[],[16,24,20,9]),
% 0.21/1.12 ['proof']).
% 0.21/1.12 % SZS output end Proof
% 0.21/1.12 % Total time :0.000000s
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