TSTP Solution File: SEU188+1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SEU188+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 : 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 16:18:15 EDT 2023
% Result : Theorem 0.21s 0.75s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU188+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
% 0.14/0.34 % Computer : n012.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Wed Aug 23 13:49:27 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.21/0.56 start to proof:theBenchmark
% 0.21/0.74 %-------------------------------------------
% 0.21/0.74 % File :CSE---1.6
% 0.21/0.74 % Problem :theBenchmark
% 0.21/0.74 % Transform :cnf
% 0.21/0.74 % Format :tptp:raw
% 0.21/0.74 % Command :java -jar mcs_scs.jar %d %s
% 0.21/0.74
% 0.21/0.74 % Result :Theorem 0.120000s
% 0.21/0.74 % Output :CNFRefutation 0.120000s
% 0.21/0.74 %-------------------------------------------
% 0.21/0.74 %------------------------------------------------------------------------------
% 0.21/0.74 % File : SEU188+1 : TPTP v8.1.2. Released v3.3.0.
% 0.21/0.74 % Domain : Set theory
% 0.21/0.74 % Problem : MPTP bushy problem t64_relat_1
% 0.21/0.74 % Version : [Urb07] axioms : Especial.
% 0.21/0.74 % English :
% 0.21/0.74
% 0.21/0.74 % Refs : [Ban01] Bancerek et al. (2001), On the Characterizations of Co
% 0.21/0.74 % : [Urb07] Urban (2006), Email to G. Sutcliffe
% 0.21/0.74 % Source : [Urb07]
% 0.21/0.75 % Names : bushy-t64_relat_1 [Urb07]
% 0.21/0.75
% 0.21/0.75 % Status : Theorem
% 0.21/0.75 % Rating : 0.17 v8.1.0, 0.14 v7.5.0, 0.16 v7.4.0, 0.07 v7.2.0, 0.03 v7.1.0, 0.04 v7.0.0, 0.03 v6.4.0, 0.08 v6.2.0, 0.16 v6.1.0, 0.23 v6.0.0, 0.13 v5.5.0, 0.15 v5.4.0, 0.18 v5.3.0, 0.19 v5.2.0, 0.00 v5.1.0, 0.05 v5.0.0, 0.12 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 v3.4.0, 0.21 v3.3.0
% 0.21/0.75 % Syntax : Number of formulae : 34 ( 16 unt; 0 def)
% 0.21/0.75 % Number of atoms : 65 ( 10 equ)
% 0.21/0.75 % Maximal formula atoms : 4 ( 1 avg)
% 0.21/0.75 % Number of connectives : 45 ( 14 ~; 2 |; 10 &)
% 0.21/0.75 % ( 4 <=>; 15 =>; 0 <=; 0 <~>)
% 0.21/0.75 % Maximal formula depth : 8 ( 4 avg)
% 0.21/0.75 % Maximal term depth : 3 ( 1 avg)
% 0.21/0.75 % Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% 0.21/0.75 % Number of functors : 6 ( 6 usr; 1 con; 0-2 aty)
% 0.21/0.75 % Number of variables : 43 ( 36 !; 7 ?)
% 0.21/0.75 % SPC : FOF_THM_RFO_SEQ
% 0.21/0.75
% 0.21/0.75 % Comments : Translated by MPTP 0.2 from the original problem in the Mizar
% 0.21/0.75 % library, www.mizar.org
% 0.21/0.75 %------------------------------------------------------------------------------
% 0.21/0.75 fof(antisymmetry_r2_hidden,axiom,
% 0.21/0.75 ! [A,B] :
% 0.21/0.75 ( in(A,B)
% 0.21/0.75 => ~ in(B,A) ) ).
% 0.21/0.75
% 0.21/0.75 fof(cc1_relat_1,axiom,
% 0.21/0.75 ! [A] :
% 0.21/0.75 ( empty(A)
% 0.21/0.75 => relation(A) ) ).
% 0.21/0.75
% 0.21/0.75 fof(commutativity_k2_tarski,axiom,
% 0.21/0.75 ! [A,B] : unordered_pair(A,B) = unordered_pair(B,A) ).
% 0.21/0.75
% 0.21/0.75 fof(d4_relat_1,axiom,
% 0.21/0.75 ! [A] :
% 0.21/0.75 ( relation(A)
% 0.21/0.75 => ! [B] :
% 0.21/0.75 ( B = relation_dom(A)
% 0.21/0.75 <=> ! [C] :
% 0.21/0.75 ( in(C,B)
% 0.21/0.75 <=> ? [D] : in(ordered_pair(C,D),A) ) ) ) ).
% 0.21/0.75
% 0.21/0.75 fof(d5_relat_1,axiom,
% 0.21/0.75 ! [A] :
% 0.21/0.75 ( relation(A)
% 0.21/0.75 => ! [B] :
% 0.21/0.75 ( B = relation_rng(A)
% 0.21/0.75 <=> ! [C] :
% 0.21/0.75 ( in(C,B)
% 0.21/0.75 <=> ? [D] : in(ordered_pair(D,C),A) ) ) ) ).
% 0.21/0.75
% 0.21/0.75 fof(d5_tarski,axiom,
% 0.21/0.75 ! [A,B] : ordered_pair(A,B) = unordered_pair(unordered_pair(A,B),singleton(A)) ).
% 0.21/0.75
% 0.21/0.75 fof(dt_k1_relat_1,axiom,
% 0.21/0.75 $true ).
% 0.21/0.75
% 0.21/0.75 fof(dt_k1_tarski,axiom,
% 0.21/0.75 $true ).
% 0.21/0.75
% 0.21/0.75 fof(dt_k1_xboole_0,axiom,
% 0.21/0.75 $true ).
% 0.21/0.75
% 0.21/0.75 fof(dt_k2_relat_1,axiom,
% 0.21/0.75 $true ).
% 0.21/0.75
% 0.21/0.75 fof(dt_k2_tarski,axiom,
% 0.21/0.75 $true ).
% 0.21/0.75
% 0.21/0.75 fof(dt_k4_tarski,axiom,
% 0.21/0.75 $true ).
% 0.21/0.75
% 0.21/0.75 fof(dt_m1_subset_1,axiom,
% 0.21/0.75 $true ).
% 0.21/0.75
% 0.21/0.75 fof(existence_m1_subset_1,axiom,
% 0.21/0.75 ! [A] :
% 0.21/0.75 ? [B] : element(B,A) ).
% 0.21/0.75
% 0.21/0.75 fof(fc1_xboole_0,axiom,
% 0.21/0.75 empty(empty_set) ).
% 0.21/0.75
% 0.21/0.75 fof(fc1_zfmisc_1,axiom,
% 0.21/0.75 ! [A,B] : ~ empty(ordered_pair(A,B)) ).
% 0.21/0.75
% 0.21/0.75 fof(fc2_subset_1,axiom,
% 0.21/0.75 ! [A] : ~ empty(singleton(A)) ).
% 0.21/0.75
% 0.21/0.75 fof(fc3_subset_1,axiom,
% 0.21/0.75 ! [A,B] : ~ empty(unordered_pair(A,B)) ).
% 0.21/0.75
% 0.21/0.75 fof(fc4_relat_1,axiom,
% 0.21/0.75 ( empty(empty_set)
% 0.21/0.75 & relation(empty_set) ) ).
% 0.21/0.75
% 0.21/0.75 fof(fc5_relat_1,axiom,
% 0.21/0.75 ! [A] :
% 0.21/0.75 ( ( ~ empty(A)
% 0.21/0.75 & relation(A) )
% 0.21/0.75 => ~ empty(relation_dom(A)) ) ).
% 0.21/0.75
% 0.21/0.75 fof(fc6_relat_1,axiom,
% 0.21/0.75 ! [A] :
% 0.21/0.75 ( ( ~ empty(A)
% 0.21/0.75 & relation(A) )
% 0.21/0.75 => ~ empty(relation_rng(A)) ) ).
% 0.21/0.75
% 0.21/0.75 fof(fc7_relat_1,axiom,
% 0.21/0.75 ! [A] :
% 0.21/0.75 ( empty(A)
% 0.21/0.75 => ( empty(relation_dom(A))
% 0.21/0.75 & relation(relation_dom(A)) ) ) ).
% 0.21/0.75
% 0.21/0.75 fof(fc8_relat_1,axiom,
% 0.21/0.75 ! [A] :
% 0.21/0.75 ( empty(A)
% 0.21/0.75 => ( empty(relation_rng(A))
% 0.21/0.75 & relation(relation_rng(A)) ) ) ).
% 0.21/0.75
% 0.21/0.75 fof(rc1_relat_1,axiom,
% 0.21/0.75 ? [A] :
% 0.21/0.75 ( empty(A)
% 0.21/0.75 & relation(A) ) ).
% 0.21/0.75
% 0.21/0.75 fof(rc1_xboole_0,axiom,
% 0.21/0.75 ? [A] : empty(A) ).
% 0.21/0.75
% 0.21/0.75 fof(rc2_relat_1,axiom,
% 0.21/0.75 ? [A] :
% 0.21/0.75 ( ~ empty(A)
% 0.21/0.75 & relation(A) ) ).
% 0.21/0.75
% 0.21/0.75 fof(rc2_xboole_0,axiom,
% 0.21/0.75 ? [A] : ~ empty(A) ).
% 0.21/0.75
% 0.21/0.75 fof(t1_subset,axiom,
% 0.21/0.75 ! [A,B] :
% 0.21/0.75 ( in(A,B)
% 0.21/0.75 => element(A,B) ) ).
% 0.21/0.75
% 0.21/0.75 fof(t2_subset,axiom,
% 0.21/0.75 ! [A,B] :
% 0.21/0.75 ( element(A,B)
% 0.21/0.75 => ( empty(B)
% 0.21/0.75 | in(A,B) ) ) ).
% 0.21/0.75
% 0.21/0.75 fof(t56_relat_1,axiom,
% 0.21/0.75 ! [A] :
% 0.21/0.75 ( relation(A)
% 0.21/0.75 => ( ! [B,C] : ~ in(ordered_pair(B,C),A)
% 0.21/0.75 => A = empty_set ) ) ).
% 0.21/0.75
% 0.21/0.75 fof(t64_relat_1,conjecture,
% 0.21/0.75 ! [A] :
% 0.21/0.75 ( relation(A)
% 0.21/0.75 => ( ( relation_dom(A) = empty_set
% 0.21/0.75 | relation_rng(A) = empty_set )
% 0.21/0.75 => A = empty_set ) ) ).
% 0.21/0.75
% 0.21/0.75 fof(t6_boole,axiom,
% 0.21/0.75 ! [A] :
% 0.21/0.75 ( empty(A)
% 0.21/0.75 => A = empty_set ) ).
% 0.21/0.75
% 0.21/0.75 fof(t7_boole,axiom,
% 0.21/0.75 ! [A,B] :
% 0.21/0.75 ~ ( in(A,B)
% 0.21/0.75 & empty(B) ) ).
% 0.21/0.75
% 0.21/0.75 fof(t8_boole,axiom,
% 0.21/0.75 ! [A,B] :
% 0.21/0.75 ~ ( empty(A)
% 0.21/0.75 & A != B
% 0.21/0.75 & empty(B) ) ).
% 0.21/0.75
% 0.21/0.75 %------------------------------------------------------------------------------
% 0.21/0.75 %-------------------------------------------
% 0.21/0.75 % Proof found
% 0.21/0.75 % SZS status Theorem for theBenchmark
% 0.21/0.75 % SZS output start Proof
% 0.21/0.75 %ClaNum:70(EqnAxiom:31)
% 0.21/0.75 %VarNum:144(SingletonVarNum:49)
% 0.21/0.75 %MaxLitNum:4
% 0.21/0.75 %MaxfuncDepth:3
% 0.21/0.75 %SharedTerms:20
% 0.21/0.75 %goalClause: 39 42 48
% 0.21/0.75 %singleGoalClaCount:2
% 0.21/0.75 [33]P1(a1)
% 0.21/0.75 [34]P1(a2)
% 0.21/0.75 [35]P1(a15)
% 0.21/0.75 [36]P3(a1)
% 0.21/0.75 [37]P3(a2)
% 0.21/0.75 [38]P3(a3)
% 0.21/0.75 [39]P3(a4)
% 0.21/0.75 [42]~E(a4,a1)
% 0.21/0.75 [43]~P1(a3)
% 0.21/0.75 [44]~P1(a5)
% 0.21/0.75 [40]P2(f8(x401),x401)
% 0.21/0.75 [45]~P1(f17(x451))
% 0.21/0.75 [41]E(f16(x411,x412),f16(x412,x411))
% 0.21/0.75 [46]~P1(f16(x461,x462))
% 0.21/0.75 [48]E(f18(a4),a1)+E(f19(a4),a1)
% 0.21/0.75 [49]~P1(x491)+E(x491,a1)
% 0.21/0.75 [50]~P1(x501)+P3(x501)
% 0.21/0.75 [52]~P1(x521)+P1(f18(x521))
% 0.21/0.75 [53]~P1(x531)+P1(f19(x531))
% 0.21/0.75 [54]~P1(x541)+P3(f18(x541))
% 0.21/0.75 [55]~P1(x551)+P3(f19(x551))
% 0.21/0.75 [58]~P1(x581)+~P4(x582,x581)
% 0.21/0.75 [59]~P4(x591,x592)+P2(x591,x592)
% 0.21/0.75 [61]~P4(x612,x611)+~P4(x611,x612)
% 0.21/0.75 [56]~P3(x561)+P1(x561)+~P1(f18(x561))
% 0.21/0.75 [57]~P3(x571)+P1(x571)+~P1(f19(x571))
% 0.21/0.75 [62]~P3(x621)+E(x621,a1)+P4(f16(f16(f6(x621),f7(x621)),f17(f6(x621))),x621)
% 0.21/0.75 [51]~P1(x512)+~P1(x511)+E(x511,x512)
% 0.21/0.75 [60]~P2(x602,x601)+P1(x601)+P4(x602,x601)
% 0.21/0.75 [66]~P3(x662)+P4(f10(x662,x661),x661)+E(x661,f18(x662))+P4(f16(f16(f10(x662,x661),f12(x662,x661)),f17(f10(x662,x661))),x662)
% 0.21/0.75 [67]~P3(x672)+P4(f9(x672,x671),x671)+E(x671,f19(x672))+P4(f16(f16(f14(x672,x671),f9(x672,x671)),f17(f14(x672,x671))),x672)
% 0.21/0.75 [65]~P3(x652)+~P4(f9(x652,x651),x651)+E(x651,f19(x652))+~P4(f16(f16(x653,f9(x652,x651)),f17(x653)),x652)
% 0.21/0.75 [69]~P3(x692)+~P4(x691,x693)+~E(x693,f18(x692))+P4(f16(f16(x691,f11(x692,x693,x691)),f17(x691)),x692)
% 0.21/0.75 [68]~P3(x682)+~P4(f10(x682,x681),x681)+E(x681,f18(x682))+~P4(f16(f16(f10(x682,x681),x683),f17(f10(x682,x681))),x682)
% 0.21/0.75 [70]~P3(x701)+~P4(x703,x702)+~E(x702,f19(x701))+P4(f16(f16(f13(x701,x702,x703),x703),f17(f13(x701,x702,x703))),x701)
% 0.21/0.75 [63]~P3(x633)+P4(x631,x632)+~E(x632,f19(x633))+~P4(f16(f16(x634,x631),f17(x634)),x633)
% 0.21/0.75 [64]~P3(x643)+P4(x641,x642)+~E(x642,f18(x643))+~P4(f16(f16(x641,x644),f17(x641)),x643)
% 0.21/0.75 %EqnAxiom
% 0.21/0.75 [1]E(x11,x11)
% 0.21/0.75 [2]E(x22,x21)+~E(x21,x22)
% 0.21/0.75 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.21/0.75 [4]~E(x41,x42)+E(f8(x41),f8(x42))
% 0.21/0.75 [5]~E(x51,x52)+E(f16(x51,x53),f16(x52,x53))
% 0.21/0.75 [6]~E(x61,x62)+E(f16(x63,x61),f16(x63,x62))
% 0.21/0.75 [7]~E(x71,x72)+E(f19(x71),f19(x72))
% 0.21/0.75 [8]~E(x81,x82)+E(f17(x81),f17(x82))
% 0.21/0.75 [9]~E(x91,x92)+E(f12(x91,x93),f12(x92,x93))
% 0.21/0.75 [10]~E(x101,x102)+E(f12(x103,x101),f12(x103,x102))
% 0.21/0.75 [11]~E(x111,x112)+E(f13(x111,x113,x114),f13(x112,x113,x114))
% 0.21/0.76 [12]~E(x121,x122)+E(f13(x123,x121,x124),f13(x123,x122,x124))
% 0.21/0.76 [13]~E(x131,x132)+E(f13(x133,x134,x131),f13(x133,x134,x132))
% 0.21/0.76 [14]~E(x141,x142)+E(f10(x141,x143),f10(x142,x143))
% 0.21/0.76 [15]~E(x151,x152)+E(f10(x153,x151),f10(x153,x152))
% 0.21/0.76 [16]~E(x161,x162)+E(f9(x161,x163),f9(x162,x163))
% 0.21/0.76 [17]~E(x171,x172)+E(f9(x173,x171),f9(x173,x172))
% 0.21/0.76 [18]~E(x181,x182)+E(f18(x181),f18(x182))
% 0.21/0.76 [19]~E(x191,x192)+E(f11(x191,x193,x194),f11(x192,x193,x194))
% 0.21/0.76 [20]~E(x201,x202)+E(f11(x203,x201,x204),f11(x203,x202,x204))
% 0.21/0.76 [21]~E(x211,x212)+E(f11(x213,x214,x211),f11(x213,x214,x212))
% 0.21/0.76 [22]~E(x221,x222)+E(f6(x221),f6(x222))
% 0.21/0.76 [23]~E(x231,x232)+E(f14(x231,x233),f14(x232,x233))
% 0.21/0.76 [24]~E(x241,x242)+E(f14(x243,x241),f14(x243,x242))
% 0.21/0.76 [25]~E(x251,x252)+E(f7(x251),f7(x252))
% 0.21/0.76 [26]~P1(x261)+P1(x262)+~E(x261,x262)
% 0.21/0.76 [27]P4(x272,x273)+~E(x271,x272)+~P4(x271,x273)
% 0.21/0.76 [28]P4(x283,x282)+~E(x281,x282)+~P4(x283,x281)
% 0.21/0.76 [29]~P3(x291)+P3(x292)+~E(x291,x292)
% 0.21/0.76 [30]P2(x302,x303)+~E(x301,x302)+~P2(x301,x303)
% 0.21/0.76 [31]P2(x313,x312)+~E(x311,x312)+~P2(x313,x311)
% 0.21/0.76
% 0.21/0.76 %-------------------------------------------
% 0.21/0.76 cnf(71,plain,
% 0.21/0.76 (~P4(x711,a1)),
% 0.21/0.76 inference(scs_inference,[],[33,58])).
% 0.21/0.76 cnf(72,plain,
% 0.21/0.76 (~P1(a4)),
% 0.21/0.76 inference(scs_inference,[],[42,33,58,49])).
% 0.21/0.76 cnf(74,plain,
% 0.21/0.76 (P4(f8(f16(x741,x742)),f16(x741,x742))),
% 0.21/0.76 inference(scs_inference,[],[42,33,40,46,41,58,49,31,60])).
% 0.21/0.76 cnf(78,plain,
% 0.21/0.76 (~E(f16(x781,x782),f18(a1))),
% 0.21/0.76 inference(scs_inference,[],[42,33,36,40,46,41,58,49,31,60,69])).
% 0.21/0.76 cnf(94,plain,
% 0.21/0.76 (E(f14(x941,f16(x942,x943)),f14(x941,f16(x943,x942)))),
% 0.21/0.76 inference(scs_inference,[],[42,33,35,36,40,46,41,58,49,31,60,69,2,61,50,55,54,53,52,25,24])).
% 0.21/0.76 cnf(113,plain,
% 0.21/0.76 (E(f16(f16(x1131,x1132),x1133),f16(f16(x1132,x1131),x1133))),
% 0.21/0.76 inference(scs_inference,[],[42,33,35,36,40,46,41,58,49,31,60,69,2,61,50,55,54,53,52,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5])).
% 0.21/0.76 cnf(121,plain,
% 0.21/0.76 (P4(f16(f16(f6(a4),f7(a4)),f17(f6(a4))),a4)),
% 0.21/0.76 inference(scs_inference,[],[39,42,33,35,36,38,43,40,46,41,58,49,31,60,69,2,61,50,55,54,53,52,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,29,26,57,56,62])).
% 0.21/0.76 cnf(124,plain,
% 0.21/0.76 (P4(f8(f16(x1241,x1242)),f16(x1242,x1241))),
% 0.21/0.76 inference(scs_inference,[],[39,42,33,35,36,38,43,40,46,41,58,49,31,60,69,2,61,50,55,54,53,52,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,29,26,57,56,62,30,28])).
% 0.21/0.76 cnf(125,plain,
% 0.21/0.76 (P4(f16(f17(f6(a4)),f16(f6(a4),f7(a4))),a4)),
% 0.21/0.76 inference(scs_inference,[],[39,42,33,35,36,38,43,40,46,41,58,49,31,60,69,2,61,50,55,54,53,52,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,29,26,57,56,62,30,28,27])).
% 0.21/0.76 cnf(128,plain,
% 0.21/0.76 (~E(a1,f19(a4))),
% 0.21/0.76 inference(scs_inference,[],[39,71,121,63])).
% 0.21/0.76 cnf(129,plain,
% 0.21/0.76 (~P4(x1291,a1)),
% 0.21/0.76 inference(rename_variables,[],[71])).
% 0.21/0.76 cnf(131,plain,
% 0.21/0.76 (~E(a1,f18(a4))),
% 0.21/0.76 inference(scs_inference,[],[39,71,129,121,63,64])).
% 0.21/0.76 cnf(132,plain,
% 0.21/0.76 (~P4(x1321,a1)),
% 0.21/0.76 inference(rename_variables,[],[71])).
% 0.21/0.76 cnf(134,plain,
% 0.21/0.76 (P4(f16(f16(f14(a4,a1),f9(a4,a1)),f17(f14(a4,a1))),a4)),
% 0.21/0.76 inference(scs_inference,[],[39,71,129,132,121,63,64,67])).
% 0.21/0.76 cnf(135,plain,
% 0.21/0.76 (~P4(x1351,a1)),
% 0.21/0.76 inference(rename_variables,[],[71])).
% 0.21/0.76 cnf(138,plain,
% 0.21/0.76 (~P4(x1381,a1)),
% 0.21/0.76 inference(rename_variables,[],[71])).
% 0.21/0.76 cnf(144,plain,
% 0.21/0.76 (E(a2,a1)),
% 0.21/0.76 inference(scs_inference,[],[39,34,33,125,71,129,132,135,121,63,64,67,66,59,51,49])).
% 0.21/0.76 cnf(148,plain,
% 0.21/0.76 (~P4(x1481,a1)),
% 0.21/0.76 inference(rename_variables,[],[71])).
% 0.21/0.76 cnf(149,plain,
% 0.21/0.76 (P4(f16(f16(f7(a4),f6(a4)),f17(f6(a4))),a4)),
% 0.21/0.76 inference(scs_inference,[],[39,34,33,41,74,113,125,71,129,132,135,138,121,63,64,67,66,59,51,49,30,28,27])).
% 0.21/0.76 cnf(153,plain,
% 0.21/0.76 (E(a1,a2)),
% 0.21/0.76 inference(scs_inference,[],[39,34,33,41,74,113,125,71,129,132,135,138,121,72,63,64,67,66,59,51,49,30,28,27,56,2])).
% 0.21/0.76 cnf(158,plain,
% 0.21/0.76 (~E(f16(x1581,x1582),f19(a1))),
% 0.21/0.76 inference(scs_inference,[],[39,34,44,36,42,33,41,74,113,124,125,71,129,132,135,138,148,121,72,63,64,67,66,59,51,49,30,28,27,56,2,61,26,3,70])).
% 0.21/0.76 cnf(169,plain,
% 0.21/0.76 (P4(f10(a1,f16(x1691,x1692)),f16(x1691,x1692))),
% 0.21/0.76 inference(scs_inference,[],[71,36,78,66])).
% 0.21/0.76 cnf(170,plain,
% 0.21/0.76 (~P4(x1701,a1)),
% 0.21/0.76 inference(rename_variables,[],[71])).
% 0.21/0.76 cnf(173,plain,
% 0.21/0.76 (~P4(x1731,a1)),
% 0.21/0.76 inference(rename_variables,[],[71])).
% 0.21/0.76 cnf(175,plain,
% 0.21/0.76 (P4(f8(f17(x1751)),f17(x1751))),
% 0.21/0.76 inference(scs_inference,[],[45,71,170,36,40,78,158,66,67,60])).
% 0.21/0.76 cnf(177,plain,
% 0.21/0.76 (~P4(x1771,a2)),
% 0.21/0.76 inference(scs_inference,[],[45,71,170,173,36,40,78,158,144,66,67,60,28])).
% 0.21/0.76 cnf(178,plain,
% 0.21/0.76 (~P4(a4,f16(f16(f14(a4,a1),f9(a4,a1)),f17(f14(a4,a1))))),
% 0.21/0.76 inference(scs_inference,[],[45,71,170,173,36,40,134,78,158,144,66,67,60,28,61])).
% 0.21/0.76 cnf(181,plain,
% 0.21/0.76 (~E(a4,f19(a2))),
% 0.21/0.76 inference(scs_inference,[],[45,37,71,170,173,36,40,134,78,158,144,66,67,60,28,61,2,70])).
% 0.21/0.76 cnf(183,plain,
% 0.21/0.76 (E(a15,a1)),
% 0.21/0.76 inference(scs_inference,[],[45,37,71,170,173,35,36,40,134,78,158,144,66,67,60,28,61,2,70,49])).
% 0.21/0.76 cnf(186,plain,
% 0.21/0.76 (P4(f9(a4,a1),x1861)+~E(x1861,f19(a4))),
% 0.21/0.76 inference(scs_inference,[],[45,37,71,170,173,35,36,40,94,134,78,158,144,39,66,67,60,28,61,2,70,49,26,63])).
% 0.21/0.76 cnf(188,plain,
% 0.21/0.76 (P4(f14(a4,a1),x1881)+~E(x1881,f18(a4))),
% 0.21/0.76 inference(scs_inference,[],[45,37,71,170,173,35,36,40,94,134,78,158,144,39,66,67,60,28,61,2,70,49,26,63,64])).
% 0.21/0.76 cnf(192,plain,
% 0.21/0.76 (E(a15,a2)+P4(f14(a4,a1),f18(x1921))+P4(f9(a4,a1),f19(x1922))),
% 0.21/0.76 inference(scs_inference,[],[45,37,71,170,173,35,36,40,94,134,78,158,144,153,39,66,67,60,28,61,2,70,49,26,63,64,18,7,3])).
% 0.21/0.76 cnf(195,plain,
% 0.21/0.76 (P4(f14(a4,a1),f18(a4))),
% 0.21/0.76 inference(equality_inference,[],[188])).
% 0.21/0.76 cnf(198,plain,
% 0.21/0.76 (~E(f18(a4),f19(a1))),
% 0.21/0.76 inference(scs_inference,[],[71,36,195,70])).
% 0.21/0.76 cnf(201,plain,
% 0.21/0.76 (P4(f9(a2,a4),a4)),
% 0.21/0.76 inference(scs_inference,[],[37,71,36,195,177,181,70,67])).
% 0.21/0.76 cnf(202,plain,
% 0.21/0.76 (~P4(x2021,a2)),
% 0.21/0.76 inference(rename_variables,[],[177])).
% 0.21/0.76 cnf(204,plain,
% 0.21/0.76 (E(f18(a15),f18(a1))),
% 0.21/0.76 inference(scs_inference,[],[37,71,36,195,177,181,183,70,67,18])).
% 0.21/0.76 cnf(205,plain,
% 0.21/0.76 (P4(f8(a5),a5)),
% 0.21/0.76 inference(scs_inference,[],[44,37,71,40,36,195,177,181,183,70,67,18,60])).
% 0.21/0.76 cnf(208,plain,
% 0.21/0.76 (E(f19(a15),f19(a1))),
% 0.21/0.76 inference(scs_inference,[],[44,37,71,40,36,195,177,181,183,70,67,18,60,7])).
% 0.21/0.76 cnf(210,plain,
% 0.21/0.76 (P4(f10(a1,f16(x2101,x2102)),f16(x2102,x2101))),
% 0.21/0.76 inference(scs_inference,[],[42,44,37,71,40,36,41,169,195,177,181,183,70,67,18,60,7,3,28])).
% 0.21/0.76 cnf(214,plain,
% 0.21/0.76 (E(a1,a15)),
% 0.21/0.76 inference(scs_inference,[],[42,44,37,71,40,36,41,175,169,195,177,181,183,70,67,18,60,7,3,28,61,2])).
% 0.21/0.76 cnf(217,plain,
% 0.21/0.76 (~P4(x2171,a2)),
% 0.21/0.76 inference(rename_variables,[],[177])).
% 0.21/0.76 cnf(220,plain,
% 0.21/0.76 (~P4(x2201,a2)),
% 0.21/0.76 inference(rename_variables,[],[177])).
% 0.21/0.76 cnf(222,plain,
% 0.21/0.76 (~E(f17(x2221),f18(a2))),
% 0.21/0.76 inference(scs_inference,[],[42,44,37,71,35,40,36,41,175,169,195,177,202,217,220,181,183,70,67,18,60,7,3,28,61,2,26,188,186,69])).
% 0.21/0.76 cnf(223,plain,
% 0.21/0.76 (~P4(x2231,a2)),
% 0.21/0.76 inference(rename_variables,[],[177])).
% 0.21/0.76 cnf(225,plain,
% 0.21/0.76 (P4(f16(f16(f10(a4,a2),f12(a4,a2)),f17(f10(a4,a2))),a4)),
% 0.21/0.76 inference(scs_inference,[],[42,44,37,71,35,40,36,41,175,169,195,177,202,217,220,223,181,183,39,70,67,18,60,7,3,28,61,2,26,188,186,69,66])).
% 0.21/0.76 cnf(234,plain,
% 0.21/0.76 (~P4(x2341,a1)),
% 0.21/0.76 inference(rename_variables,[],[71])).
% 0.21/0.76 cnf(237,plain,
% 0.21/0.76 (~P4(x2371,a1)),
% 0.21/0.76 inference(rename_variables,[],[71])).
% 0.21/0.76 cnf(239,plain,
% 0.21/0.76 (E(a1,f19(a2))),
% 0.21/0.76 inference(scs_inference,[],[71,234,237,37,36,208,201,177,70,69,67])).
% 0.21/0.76 cnf(240,plain,
% 0.21/0.76 (~P4(x2401,a1)),
% 0.21/0.76 inference(rename_variables,[],[71])).
% 0.21/0.76 cnf(241,plain,
% 0.21/0.76 (~P4(x2411,a2)),
% 0.21/0.76 inference(rename_variables,[],[177])).
% 0.21/0.76 cnf(243,plain,
% 0.21/0.76 (P4(f10(a2,f17(x2431)),f17(x2431))),
% 0.21/0.76 inference(scs_inference,[],[71,234,237,37,36,222,208,201,177,241,70,69,67,66])).
% 0.21/0.76 cnf(258,plain,
% 0.21/0.76 (E(f18(a4),a1)),
% 0.21/0.76 inference(scs_inference,[],[33,46,71,234,237,240,44,37,36,41,128,210,222,208,178,225,201,205,214,177,241,70,69,67,66,60,3,61,27,2,28,26,48])).
% 0.21/0.76 cnf(263,plain,
% 0.21/0.76 (P1(f18(a2))),
% 0.21/0.76 inference(scs_inference,[],[33,46,34,71,234,237,240,44,37,36,41,128,210,222,208,178,225,201,205,214,177,241,70,69,67,66,60,3,61,27,2,28,26,48,192,55,52])).
% 0.21/0.76 cnf(299,plain,
% 0.21/0.76 (~P4(x2991,a1)),
% 0.21/0.76 inference(rename_variables,[],[71])).
% 0.21/0.76 cnf(302,plain,
% 0.21/0.76 (~P4(x3021,a1)),
% 0.21/0.76 inference(rename_variables,[],[71])).
% 0.21/0.76 cnf(306,plain,
% 0.21/0.76 (~P4(x3061,a1)),
% 0.21/0.76 inference(rename_variables,[],[71])).
% 0.21/0.76 cnf(309,plain,
% 0.21/0.76 (~P4(x3091,a1)),
% 0.21/0.76 inference(rename_variables,[],[71])).
% 0.21/0.76 cnf(319,plain,
% 0.21/0.76 ($false),
% 0.21/0.76 inference(scs_inference,[],[72,35,71,299,302,306,309,40,37,36,41,131,243,198,263,239,258,149,195,177,204,50,58,70,69,66,67,60,3,61,27,2,28]),
% 0.21/0.76 ['proof']).
% 0.21/0.76 % SZS output end Proof
% 0.21/0.76 % Total time :0.120000s
%------------------------------------------------------------------------------