TSTP Solution File: SEU151+1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SEU151+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 : n003.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 16:17:54 EDT 2023
% Result : Theorem 1.00s 1.04s
% Output : CNFRefutation 1.00s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU151+1 : TPTP v8.1.2. Released v3.3.0.
% 0.13/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n003.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Aug 23 13:20:22 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.21/0.57 start to proof:theBenchmark
% 1.00/1.04 %-------------------------------------------
% 1.00/1.04 % File :CSE---1.6
% 1.00/1.04 % Problem :theBenchmark
% 1.00/1.04 % Transform :cnf
% 1.00/1.04 % Format :tptp:raw
% 1.00/1.04 % Command :java -jar mcs_scs.jar %d %s
% 1.00/1.04
% 1.00/1.04 % Result :Theorem 0.420000s
% 1.00/1.04 % Output :CNFRefutation 0.420000s
% 1.00/1.04 %-------------------------------------------
% 1.00/1.04 %------------------------------------------------------------------------------
% 1.00/1.04 % File : SEU151+1 : TPTP v8.1.2. Released v3.3.0.
% 1.00/1.04 % Domain : Set theory
% 1.00/1.04 % Problem : MPTP bushy problem t10_zfmisc_1
% 1.00/1.04 % Version : [Urb07] axioms : Especial.
% 1.00/1.04 % English :
% 1.00/1.04
% 1.00/1.04 % Refs : [Ban01] Bancerek et al. (2001), On the Characterizations of Co
% 1.00/1.04 % : [Urb07] Urban (2006), Email to G. Sutcliffe
% 1.00/1.04 % Source : [Urb07]
% 1.00/1.04 % Names : bushy-t10_zfmisc_1 [Urb07]
% 1.00/1.04
% 1.00/1.04 % Status : Theorem
% 1.00/1.04 % Rating : 0.17 v7.5.0, 0.19 v7.4.0, 0.13 v7.3.0, 0.14 v7.2.0, 0.10 v7.1.0, 0.13 v7.0.0, 0.07 v6.4.0, 0.12 v6.3.0, 0.08 v6.2.0, 0.24 v6.1.0, 0.33 v6.0.0, 0.26 v5.5.0, 0.22 v5.4.0, 0.18 v5.3.0, 0.19 v5.2.0, 0.00 v5.0.0, 0.17 v4.1.0, 0.13 v4.0.1, 0.17 v4.0.0, 0.21 v3.7.0, 0.15 v3.5.0, 0.16 v3.3.0
% 1.00/1.04 % Syntax : Number of formulae : 5 ( 2 unt; 0 def)
% 1.00/1.04 % Number of atoms : 11 ( 7 equ)
% 1.00/1.04 % Maximal formula atoms : 4 ( 2 avg)
% 1.00/1.04 % Number of connectives : 10 ( 4 ~; 1 |; 2 &)
% 1.00/1.04 % ( 2 <=>; 1 =>; 0 <=; 0 <~>)
% 1.00/1.04 % Maximal formula depth : 9 ( 5 avg)
% 1.00/1.04 % Maximal term depth : 2 ( 1 avg)
% 1.00/1.04 % Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% 1.00/1.04 % Number of functors : 1 ( 1 usr; 0 con; 2-2 aty)
% 1.00/1.04 % Number of variables : 12 ( 12 !; 0 ?)
% 1.00/1.04 % SPC : FOF_THM_RFO_SEQ
% 1.00/1.04
% 1.00/1.04 % Comments : Translated by MPTP 0.2 from the original problem in the Mizar
% 1.00/1.04 % library, www.mizar.org
% 1.00/1.04 %------------------------------------------------------------------------------
% 1.00/1.04 fof(antisymmetry_r2_hidden,axiom,
% 1.00/1.04 ! [A,B] :
% 1.00/1.04 ( in(A,B)
% 1.00/1.04 => ~ in(B,A) ) ).
% 1.00/1.04
% 1.00/1.04 fof(commutativity_k2_tarski,axiom,
% 1.00/1.04 ! [A,B] : unordered_pair(A,B) = unordered_pair(B,A) ).
% 1.00/1.04
% 1.00/1.04 fof(d2_tarski,axiom,
% 1.00/1.04 ! [A,B,C] :
% 1.00/1.04 ( C = unordered_pair(A,B)
% 1.00/1.04 <=> ! [D] :
% 1.00/1.04 ( in(D,C)
% 1.00/1.04 <=> ( D = A
% 1.00/1.04 | D = B ) ) ) ).
% 1.00/1.04
% 1.00/1.04 fof(dt_k2_tarski,axiom,
% 1.00/1.04 $true ).
% 1.00/1.04
% 1.00/1.04 fof(t10_zfmisc_1,conjecture,
% 1.00/1.04 ! [A,B,C,D] :
% 1.00/1.04 ~ ( unordered_pair(A,B) = unordered_pair(C,D)
% 1.00/1.04 & A != C
% 1.00/1.04 & A != D ) ).
% 1.00/1.04
% 1.00/1.04 %------------------------------------------------------------------------------
% 1.00/1.04 %-------------------------------------------
% 1.00/1.04 % Proof found
% 1.00/1.04 % SZS status Theorem for theBenchmark
% 1.00/1.04 % SZS output start Proof
% 1.00/1.05 %ClaNum:21(EqnAxiom:10)
% 1.00/1.05 %VarNum:68(SingletonVarNum:25)
% 1.00/1.05 %MaxLitNum:4
% 1.00/1.05 %MaxfuncDepth:1
% 1.00/1.05 %SharedTerms:9
% 1.00/1.05 %goalClause: 11 13 14
% 1.00/1.05 %singleGoalClaCount:3
% 1.00/1.05 [13]~E(a1,a5)
% 1.00/1.05 [14]~E(a1,a6)
% 1.00/1.05 [11]E(f4(a1,a3),f4(a5,a6))
% 1.00/1.05 [12]E(f4(x121,x122),f4(x122,x121))
% 1.00/1.05 [17]~P1(x172,x171)+~P1(x171,x172)
% 1.00/1.05 [20]~E(f2(x202,x203,x201),x203)+~P1(f2(x202,x203,x201),x201)+E(x201,f4(x202,x203))
% 1.00/1.05 [21]~E(f2(x212,x213,x211),x212)+~P1(f2(x212,x213,x211),x211)+E(x211,f4(x212,x213))
% 1.00/1.05 [15]P1(x151,x152)+~E(x151,x153)+~E(x152,f4(x154,x153))
% 1.00/1.05 [16]P1(x161,x162)+~E(x161,x163)+~E(x162,f4(x163,x164))
% 1.00/1.05 [19]E(f2(x192,x193,x191),x193)+E(f2(x192,x193,x191),x192)+P1(f2(x192,x193,x191),x191)+E(x191,f4(x192,x193))
% 1.00/1.05 [18]~P1(x181,x184)+E(x181,x182)+E(x181,x183)+~E(x184,f4(x183,x182))
% 1.00/1.05 %EqnAxiom
% 1.00/1.05 [1]E(x11,x11)
% 1.00/1.05 [2]E(x22,x21)+~E(x21,x22)
% 1.00/1.05 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 1.00/1.05 [4]~E(x41,x42)+E(f4(x41,x43),f4(x42,x43))
% 1.00/1.05 [5]~E(x51,x52)+E(f4(x53,x51),f4(x53,x52))
% 1.00/1.05 [6]~E(x61,x62)+E(f2(x61,x63,x64),f2(x62,x63,x64))
% 1.00/1.05 [7]~E(x71,x72)+E(f2(x73,x71,x74),f2(x73,x72,x74))
% 1.00/1.05 [8]~E(x81,x82)+E(f2(x83,x84,x81),f2(x83,x84,x82))
% 1.00/1.05 [9]P1(x92,x93)+~E(x91,x92)+~P1(x91,x93)
% 1.00/1.05 [10]P1(x103,x102)+~E(x101,x102)+~P1(x103,x101)
% 1.00/1.05
% 1.00/1.05 %-------------------------------------------
% 1.00/1.05 cnf(22,plain,
% 1.00/1.05 (E(f4(a5,a6),f4(a1,a3))),
% 1.00/1.05 inference(scs_inference,[],[11,2])).
% 1.00/1.05 cnf(24,plain,
% 1.00/1.05 (E(f4(x241,x242),f4(x242,x241))),
% 1.00/1.05 inference(rename_variables,[],[12])).
% 1.00/1.05 cnf(25,plain,
% 1.00/1.05 (P1(f4(a1,a3),f4(x251,f4(a5,a6)))),
% 1.00/1.05 inference(scs_inference,[],[11,12,24,2,3,16])).
% 1.00/1.05 cnf(26,plain,
% 1.00/1.05 (E(f4(x261,x262),f4(x262,x261))),
% 1.00/1.05 inference(rename_variables,[],[12])).
% 1.00/1.05 cnf(28,plain,
% 1.00/1.05 (P1(f4(a1,a3),f4(f4(a5,a6),x281))),
% 1.00/1.05 inference(scs_inference,[],[11,12,24,26,2,3,16,15])).
% 1.00/1.05 cnf(29,plain,
% 1.00/1.05 (E(f4(x291,x292),f4(x292,x291))),
% 1.00/1.05 inference(rename_variables,[],[12])).
% 1.00/1.05 cnf(31,plain,
% 1.00/1.05 (~P1(a1,f4(a1,a3))),
% 1.00/1.05 inference(scs_inference,[],[11,13,14,12,24,26,2,3,16,15,18])).
% 1.00/1.05 cnf(35,plain,
% 1.00/1.05 (~P1(a1,f4(a3,a1))),
% 1.00/1.05 inference(scs_inference,[],[11,13,14,12,24,26,29,2,3,16,15,18,17,10])).
% 1.00/1.05 cnf(39,plain,
% 1.00/1.05 (~P1(f4(f4(a5,a6),x391),f4(a1,a3))),
% 1.00/1.05 inference(scs_inference,[],[28,17])).
% 1.00/1.05 cnf(42,plain,
% 1.00/1.05 (~P1(a1,f4(a5,a6))),
% 1.00/1.05 inference(scs_inference,[],[13,31,28,22,17,2,10])).
% 1.00/1.05 cnf(44,plain,
% 1.00/1.05 (E(f4(x441,x442),f4(x442,x441))),
% 1.00/1.05 inference(rename_variables,[],[12])).
% 1.00/1.05 cnf(47,plain,
% 1.00/1.05 (E(f4(x471,x472),f4(x472,x471))),
% 1.00/1.05 inference(rename_variables,[],[12])).
% 1.00/1.05 cnf(49,plain,
% 1.00/1.05 (P1(f4(a5,a6),f4(x491,f4(a5,a6)))),
% 1.00/1.05 inference(scs_inference,[],[11,13,12,44,31,25,28,22,35,17,2,10,16,15,9])).
% 1.00/1.05 cnf(51,plain,
% 1.00/1.05 (E(f4(x511,x512),f4(x512,x511))),
% 1.00/1.05 inference(rename_variables,[],[12])).
% 1.00/1.05 cnf(53,plain,
% 1.00/1.05 (E(f4(a1,a3),f4(a6,a5))),
% 1.00/1.05 inference(scs_inference,[],[11,13,12,44,47,51,31,25,28,22,35,17,2,10,16,15,9,18,3])).
% 1.00/1.05 cnf(56,plain,
% 1.00/1.05 (E(f4(x561,x562),f4(x562,x561))),
% 1.00/1.05 inference(rename_variables,[],[12])).
% 1.00/1.05 cnf(58,plain,
% 1.00/1.05 (~P1(f4(x581,f4(a5,a6)),f4(a5,a6))),
% 1.00/1.05 inference(scs_inference,[],[14,12,49,18,17])).
% 1.00/1.05 cnf(61,plain,
% 1.00/1.05 (E(f4(x611,x612),f4(x612,x611))),
% 1.00/1.05 inference(rename_variables,[],[12])).
% 1.00/1.05 cnf(64,plain,
% 1.00/1.05 (E(f4(x641,x642),f4(x642,x641))),
% 1.00/1.05 inference(rename_variables,[],[12])).
% 1.00/1.05 cnf(67,plain,
% 1.00/1.05 (P1(f4(a3,a1),f4(x671,f4(a5,a6)))),
% 1.00/1.05 inference(scs_inference,[],[14,22,12,56,61,64,53,49,25,18,17,15,16,2,9])).
% 1.00/1.05 cnf(81,plain,
% 1.00/1.05 (E(f4(x811,x812),f4(x812,x811))),
% 1.00/1.05 inference(rename_variables,[],[12])).
% 1.00/1.05 cnf(83,plain,
% 1.00/1.05 (E(f4(a5,a6),f4(a3,a1))),
% 1.00/1.05 inference(scs_inference,[],[14,22,12,81,67,39,58,17,15,16,10,9,2,3])).
% 1.00/1.05 cnf(308,plain,
% 1.00/1.05 ($false),
% 1.00/1.05 inference(scs_inference,[],[42,83,15]),
% 1.00/1.05 ['proof']).
% 1.00/1.05 % SZS output end Proof
% 1.00/1.05 % Total time :0.420000s
%------------------------------------------------------------------------------