TSTP Solution File: ITP019+2 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : ITP019+2 : TPTP v8.1.2. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n014.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 03:06:55 EDT 2023
% Result : Theorem 0.17s 0.65s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.15 % Problem : ITP019+2 : TPTP v8.1.2. Bugfixed v7.5.0.
% 0.00/0.17 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.12/0.36 % Computer : n014.cluster.edu
% 0.12/0.36 % Model : x86_64 x86_64
% 0.12/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.36 % Memory : 8042.1875MB
% 0.12/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.36 % CPULimit : 300
% 0.12/0.36 % WCLimit : 300
% 0.12/0.36 % DateTime : Sun Aug 27 14:17:16 EDT 2023
% 0.12/0.36 % CPUTime :
% 0.17/0.56 start to proof:theBenchmark
% 0.17/0.64 %-------------------------------------------
% 0.17/0.64 % File :CSE---1.6
% 0.17/0.64 % Problem :theBenchmark
% 0.17/0.64 % Transform :cnf
% 0.17/0.64 % Format :tptp:raw
% 0.17/0.64 % Command :java -jar mcs_scs.jar %d %s
% 0.17/0.64
% 0.17/0.64 % Result :Theorem 0.020000s
% 0.17/0.64 % Output :CNFRefutation 0.020000s
% 0.17/0.64 %-------------------------------------------
% 0.17/0.65 %------------------------------------------------------------------------------
% 0.17/0.65 % File : ITP019+2 : TPTP v8.1.2. Bugfixed v7.5.0.
% 0.17/0.65 % Domain : Interactive Theorem Proving
% 0.17/0.65 % Problem : HOL4 set theory export of thm_2Ecomplex_2ECOMPLEX__INV__NZ.p, bushy mode
% 0.17/0.65 % Version : [BG+19] axioms.
% 0.17/0.65 % English :
% 0.17/0.65
% 0.17/0.65 % Refs : [BG+19] Brown et al. (2019), GRUNGE: A Grand Unified ATP Chall
% 0.17/0.65 % : [Gau19] Gauthier (2019), Email to Geoff Sutcliffe
% 0.17/0.65 % Source : [BG+19]
% 0.17/0.65 % Names : thm_2Ecomplex_2ECOMPLEX__INV__NZ.p [Gau19]
% 0.17/0.65 % : HL409001+2.p [TPAP]
% 0.17/0.65
% 0.17/0.65 % Status : Theorem
% 0.17/0.65 % Rating : 0.17 v8.1.0, 0.14 v7.5.0
% 0.17/0.65 % Syntax : Number of formulae : 33 ( 15 unt; 0 def)
% 0.17/0.65 % Number of atoms : 92 ( 10 equ)
% 0.17/0.65 % Maximal formula atoms : 16 ( 2 avg)
% 0.17/0.65 % Number of connectives : 64 ( 5 ~; 0 |; 5 &)
% 0.17/0.65 % ( 13 <=>; 41 =>; 0 <=; 0 <~>)
% 0.17/0.65 % Maximal formula depth : 10 ( 4 avg)
% 0.17/0.65 % Maximal term depth : 4 ( 1 avg)
% 0.17/0.65 % Number of predicates : 6 ( 3 usr; 2 prp; 0-2 aty)
% 0.17/0.65 % Number of functors : 19 ( 19 usr; 12 con; 0-2 aty)
% 0.17/0.65 % Number of variables : 39 ( 39 !; 0 ?)
% 0.17/0.65 % SPC : FOF_THM_RFO_SEQ
% 0.17/0.65
% 0.17/0.65 % Comments :
% 0.17/0.65 % Bugfixes : v7.5.0 - Bugfixes in axioms and export.
% 0.17/0.65 %------------------------------------------------------------------------------
% 0.17/0.65 include('Axioms/ITP001/ITP001+2.ax').
% 0.17/0.65 %------------------------------------------------------------------------------
% 0.17/0.65 fof(mem_c_2Ebool_2E_7E,axiom,
% 0.17/0.65 mem(c_2Ebool_2E_7E,arr(bool,bool)) ).
% 0.17/0.65
% 0.17/0.65 fof(ax_neg_p,axiom,
% 0.17/0.65 ! [Q] :
% 0.17/0.65 ( mem(Q,bool)
% 0.17/0.65 => ( p(ap(c_2Ebool_2E_7E,Q))
% 0.17/0.65 <=> ~ p(Q) ) ) ).
% 0.17/0.65
% 0.17/0.65 fof(mem_c_2Ebool_2EF,axiom,
% 0.17/0.65 mem(c_2Ebool_2EF,bool) ).
% 0.17/0.65
% 0.17/0.65 fof(ax_false_p,axiom,
% 0.17/0.65 ~ p(c_2Ebool_2EF) ).
% 0.17/0.65
% 0.17/0.65 fof(mem_c_2Ebool_2ET,axiom,
% 0.17/0.65 mem(c_2Ebool_2ET,bool) ).
% 0.17/0.65
% 0.17/0.65 fof(ax_true_p,axiom,
% 0.17/0.65 p(c_2Ebool_2ET) ).
% 0.17/0.65
% 0.17/0.65 fof(mem_c_2Emin_2E_3D_3D_3E,axiom,
% 0.17/0.65 mem(c_2Emin_2E_3D_3D_3E,arr(bool,arr(bool,bool))) ).
% 0.17/0.65
% 0.17/0.65 fof(ax_imp_p,axiom,
% 0.17/0.65 ! [Q] :
% 0.17/0.65 ( mem(Q,bool)
% 0.17/0.65 => ! [R] :
% 0.17/0.65 ( mem(R,bool)
% 0.17/0.65 => ( p(ap(ap(c_2Emin_2E_3D_3D_3E,Q),R))
% 0.17/0.65 <=> ( p(Q)
% 0.17/0.65 => p(R) ) ) ) ) ).
% 0.17/0.65
% 0.17/0.65 fof(mem_c_2Ebool_2E_2F_5C,axiom,
% 0.17/0.65 mem(c_2Ebool_2E_2F_5C,arr(bool,arr(bool,bool))) ).
% 0.17/0.65
% 0.17/0.65 fof(ax_and_p,axiom,
% 0.17/0.65 ! [Q] :
% 0.17/0.65 ( mem(Q,bool)
% 0.17/0.65 => ! [R] :
% 0.17/0.65 ( mem(R,bool)
% 0.17/0.65 => ( p(ap(ap(c_2Ebool_2E_2F_5C,Q),R))
% 0.17/0.65 <=> ( p(Q)
% 0.17/0.65 & p(R) ) ) ) ) ).
% 0.17/0.65
% 0.17/0.65 fof(ne_ty_2Enum_2Enum,axiom,
% 0.17/0.65 ne(ty_2Enum_2Enum) ).
% 0.17/0.65
% 0.17/0.65 fof(mem_c_2Enum_2E0,axiom,
% 0.17/0.65 mem(c_2Enum_2E0,ty_2Enum_2Enum) ).
% 0.17/0.65
% 0.17/0.65 fof(ne_ty_2Erealax_2Ereal,axiom,
% 0.17/0.65 ne(ty_2Erealax_2Ereal) ).
% 0.17/0.65
% 0.17/0.65 fof(ne_ty_2Epair_2Eprod,axiom,
% 0.17/0.65 ! [A0] :
% 0.17/0.65 ( ne(A0)
% 0.17/0.65 => ! [A1] :
% 0.17/0.65 ( ne(A1)
% 0.17/0.65 => ne(ty_2Epair_2Eprod(A0,A1)) ) ) ).
% 0.17/0.65
% 0.17/0.65 fof(mem_c_2Ecomplex_2Ecomplex__of__num,axiom,
% 0.17/0.65 mem(c_2Ecomplex_2Ecomplex__of__num,arr(ty_2Enum_2Enum,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal))) ).
% 0.17/0.65
% 0.17/0.65 fof(mem_c_2Ecomplex_2Ecomplex__inv,axiom,
% 0.17/0.65 mem(c_2Ecomplex_2Ecomplex__inv,arr(ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal))) ).
% 0.17/0.65
% 0.17/0.65 fof(mem_c_2Emin_2E_3D,axiom,
% 0.17/0.65 ! [A_27a] :
% 0.17/0.65 ( ne(A_27a)
% 0.17/0.65 => mem(c_2Emin_2E_3D(A_27a),arr(A_27a,arr(A_27a,bool))) ) ).
% 0.17/0.65
% 0.17/0.65 fof(ax_eq_p,axiom,
% 0.17/0.65 ! [A] :
% 0.17/0.65 ( ne(A)
% 0.17/0.65 => ! [X] :
% 0.17/0.65 ( mem(X,A)
% 0.17/0.65 => ! [Y] :
% 0.17/0.65 ( mem(Y,A)
% 0.17/0.65 => ( p(ap(ap(c_2Emin_2E_3D(A),X),Y))
% 0.17/0.65 <=> X = Y ) ) ) ) ).
% 0.17/0.65
% 0.17/0.65 fof(mem_c_2Ebool_2E_21,axiom,
% 0.17/0.65 ! [A_27a] :
% 0.17/0.65 ( ne(A_27a)
% 0.17/0.65 => mem(c_2Ebool_2E_21(A_27a),arr(arr(A_27a,bool),bool)) ) ).
% 0.17/0.65
% 0.17/0.65 fof(ax_all_p,axiom,
% 0.17/0.65 ! [A] :
% 0.17/0.65 ( ne(A)
% 0.17/0.65 => ! [Q] :
% 0.17/0.65 ( mem(Q,arr(A,bool))
% 0.17/0.65 => ( p(ap(c_2Ebool_2E_21(A),Q))
% 0.17/0.65 <=> ! [X] :
% 0.17/0.65 ( mem(X,A)
% 0.17/0.65 => p(ap(Q,X)) ) ) ) ) ).
% 0.17/0.65
% 0.17/0.65 fof(conj_thm_2Ebool_2ETRUTH,axiom,
% 0.17/0.65 $true ).
% 0.17/0.65
% 0.17/0.65 fof(conj_thm_2Ebool_2EFORALL__SIMP,axiom,
% 0.17/0.65 ! [A_27a] :
% 0.17/0.65 ( ne(A_27a)
% 0.17/0.65 => ! [V0t] :
% 0.17/0.65 ( mem(V0t,bool)
% 0.17/0.65 => ( ! [V1x] :
% 0.17/0.65 ( mem(V1x,A_27a)
% 0.17/0.65 => p(V0t) )
% 0.17/0.65 <=> p(V0t) ) ) ) ).
% 0.17/0.65
% 0.17/0.65 fof(conj_thm_2Ebool_2EIMP__CLAUSES,axiom,
% 0.17/0.65 ! [V0t] :
% 0.17/0.65 ( mem(V0t,bool)
% 0.17/0.65 => ( ( ( $true
% 0.17/0.65 => p(V0t) )
% 0.17/0.65 <=> p(V0t) )
% 0.17/0.65 & ( ( p(V0t)
% 0.17/0.65 => $true )
% 0.17/0.65 <=> $true )
% 0.17/0.65 & ( ( $false
% 0.17/0.65 => p(V0t) )
% 0.17/0.65 <=> $true )
% 0.17/0.65 & ( ( p(V0t)
% 0.17/0.65 => p(V0t) )
% 0.17/0.65 <=> $true )
% 0.17/0.65 & ( ( p(V0t)
% 0.17/0.65 => $false )
% 0.17/0.65 <=> ~ p(V0t) ) ) ) ).
% 0.17/0.65
% 0.17/0.65 fof(conj_thm_2Ecomplex_2ECOMPLEX__INV__EQ__0,axiom,
% 0.17/0.65 ! [V0z] :
% 0.17/0.65 ( mem(V0z,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal))
% 0.17/0.65 => ( ap(c_2Ecomplex_2Ecomplex__inv,V0z) = ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0)
% 0.17/0.65 <=> V0z = ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) ) ) ).
% 0.17/0.65
% 0.17/0.65 fof(conj_thm_2Ecomplex_2ECOMPLEX__INV__NZ,conjecture,
% 0.17/0.65 ! [V0z] :
% 0.17/0.65 ( mem(V0z,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal))
% 0.17/0.65 => ( V0z != ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0)
% 0.17/0.65 => ap(c_2Ecomplex_2Ecomplex__inv,V0z) != ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) ) ) ).
% 0.17/0.65
% 0.17/0.65 %------------------------------------------------------------------------------
% 0.17/0.65 %-------------------------------------------
% 0.17/0.65 % Proof found
% 0.17/0.65 % SZS status Theorem for theBenchmark
% 0.17/0.65 % SZS output start Proof
% 0.17/0.65 %ClaNum:72(EqnAxiom:27)
% 0.17/0.65 %VarNum:174(SingletonVarNum:59)
% 0.17/0.65 %MaxLitNum:5
% 0.17/0.65 %MaxfuncDepth:3
% 0.17/0.65 %SharedTerms:37
% 0.17/0.65 %goalClause: 36 38 44
% 0.17/0.65 %singleGoalClaCount:3
% 0.17/0.65 [28]P1(a1)
% 0.17/0.65 [29]P1(a4)
% 0.17/0.65 [30]P1(a20)
% 0.17/0.65 [31]P1(a22)
% 0.17/0.65 [32]P4(a5)
% 0.17/0.65 [33]P2(a6,a1)
% 0.17/0.65 [34]P2(a5,a1)
% 0.17/0.65 [35]P2(a7,a20)
% 0.17/0.65 [43]~P4(a6)
% 0.17/0.65 [36]E(f2(a8,a7),f2(a9,a15))
% 0.17/0.65 [37]P2(a10,f3(a1,a1))
% 0.17/0.65 [38]P2(a15,f23(a22,a22))
% 0.17/0.65 [44]~E(f2(a8,a7),a15)
% 0.17/0.65 [39]P2(a13,f3(a1,f3(a1,a1)))
% 0.17/0.65 [40]P2(a11,f3(a1,f3(a1,a1)))
% 0.17/0.65 [41]P2(a8,f3(a20,f23(a22,a22)))
% 0.17/0.65 [42]P2(a9,f3(f23(a22,a22),f23(a22,a22)))
% 0.17/0.65 [45]P3(x451)+~P2(x451,a1)
% 0.17/0.65 [55]~P1(x551)+P2(f12(x551),f3(f3(x551,a1),a1))
% 0.17/0.65 [57]~P1(x571)+P2(f14(x571),f3(x571,f3(x571,a1)))
% 0.17/0.65 [46]~P2(x462,x461)+E(f2(f19(x461),x462),x462)
% 0.17/0.65 [52]~P2(x523,x521)+E(f2(f21(x521,x522),x523),x522)
% 0.17/0.65 [50]P4(x501)+~P2(x501,a1)+P4(f2(a10,x501))
% 0.17/0.65 [53]~P4(x531)+~P2(x531,a1)+~P4(f2(a10,x531))
% 0.17/0.65 [56]~P2(x561,f23(a22,a22))+~E(x561,f2(a8,a7))+E(f2(a9,x561),f2(a8,a7))
% 0.17/0.65 [58]~P2(x581,f23(a22,a22))+E(x581,f2(a8,a7))+~E(f2(a9,x581),f2(a8,a7))
% 0.17/0.65 [47]~P1(x472)+~P1(x471)+P1(f3(x471,x472))
% 0.17/0.65 [48]~P1(x482)+~P1(x481)+P1(f23(x481,x482))
% 0.17/0.65 [61]~P2(x612,x614)+~P2(x611,f3(x614,x613))+P2(f2(x611,x612),x613)
% 0.17/0.65 [54]~P1(x542)+P4(x541)+~P2(x541,a1)+P2(f16(x542,x541),x542)
% 0.17/0.65 [59]P4(x591)+~P2(x592,a1)+~P2(x591,a1)+P4(f2(f2(a13,x591),x592))
% 0.17/0.65 [60]~P4(x602)+~P2(x601,a1)+~P2(x602,a1)+P4(f2(f2(a13,x601),x602))
% 0.17/0.65 [63]~P1(x631)+P2(f17(x631,x632),x631)+~P2(x632,f3(x631,a1))+P4(f2(f12(x631),x632))
% 0.17/0.65 [65]P4(x651)+~P2(x651,a1)+~P2(x652,a1)+~P4(f2(f2(a11,x652),x651))
% 0.17/0.65 [66]P4(x661)+~P2(x661,a1)+~P2(x662,a1)+~P4(f2(f2(a11,x661),x662))
% 0.17/0.65 [70]~P1(x701)+~P2(x702,f3(x701,a1))+~P4(f2(x702,f17(x701,x702)))+P4(f2(f12(x701),x702))
% 0.17/0.65 [71]E(x711,x712)+~P2(x712,f3(x713,x714))+~P2(x711,f3(x713,x714))+P2(f18(x713,x714,x711,x712),x713)
% 0.17/0.65 [72]E(x721,x722)+~P2(x722,f3(x723,x724))+~P2(x721,f3(x723,x724))+~E(f2(x721,f18(x723,x724,x721,x722)),f2(x722,f18(x723,x724,x721,x722)))
% 0.17/0.65 [49]P4(x492)+P4(x491)+E(x491,x492)+~P2(x492,a1)+~P2(x491,a1)
% 0.17/0.65 [51]~P4(x512)+~P4(x511)+E(x511,x512)+~P2(x512,a1)+~P2(x511,a1)
% 0.17/0.65 [62]~P4(x622)+~P4(x621)+~P2(x622,a1)+~P2(x621,a1)+P4(f2(f2(a11,x621),x622))
% 0.17/0.65 [67]P4(x671)+~P4(x672)+~P2(x671,a1)+~P2(x672,a1)+~P4(f2(f2(a13,x672),x671))
% 0.17/0.65 [68]~P2(x682,x683)+~P1(x683)+~P2(x681,f3(x683,a1))+P4(f2(x681,x682))+~P4(f2(f12(x683),x681))
% 0.17/0.65 [64]~E(x642,x643)+~P1(x641)+~P2(x643,x641)+~P2(x642,x641)+P4(f2(f2(f14(x641),x642),x643))
% 0.17/0.65 [69]~P2(x692,x693)+~P2(x691,x693)+E(x691,x692)+~P1(x693)+~P4(f2(f2(f14(x693),x691),x692))
% 0.17/0.65 %EqnAxiom
% 0.17/0.65 [1]E(x11,x11)
% 0.17/0.65 [2]E(x22,x21)+~E(x21,x22)
% 0.17/0.65 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.17/0.65 [4]~E(x41,x42)+E(f2(x41,x43),f2(x42,x43))
% 0.17/0.65 [5]~E(x51,x52)+E(f2(x53,x51),f2(x53,x52))
% 0.17/0.65 [6]~E(x61,x62)+E(f3(x61,x63),f3(x62,x63))
% 0.17/0.65 [7]~E(x71,x72)+E(f3(x73,x71),f3(x73,x72))
% 0.17/0.65 [8]~E(x81,x82)+E(f17(x81,x83),f17(x82,x83))
% 0.17/0.65 [9]~E(x91,x92)+E(f17(x93,x91),f17(x93,x92))
% 0.17/0.65 [10]~E(x101,x102)+E(f23(x101,x103),f23(x102,x103))
% 0.17/0.65 [11]~E(x111,x112)+E(f23(x113,x111),f23(x113,x112))
% 0.17/0.65 [12]~E(x121,x122)+E(f12(x121),f12(x122))
% 0.17/0.65 [13]~E(x131,x132)+E(f14(x131),f14(x132))
% 0.17/0.65 [14]~E(x141,x142)+E(f18(x141,x143,x144,x145),f18(x142,x143,x144,x145))
% 0.17/0.65 [15]~E(x151,x152)+E(f18(x153,x151,x154,x155),f18(x153,x152,x154,x155))
% 0.17/0.65 [16]~E(x161,x162)+E(f18(x163,x164,x161,x165),f18(x163,x164,x162,x165))
% 0.17/0.65 [17]~E(x171,x172)+E(f18(x173,x174,x175,x171),f18(x173,x174,x175,x172))
% 0.17/0.65 [18]~E(x181,x182)+E(f16(x181,x183),f16(x182,x183))
% 0.17/0.65 [19]~E(x191,x192)+E(f16(x193,x191),f16(x193,x192))
% 0.17/0.65 [20]~E(x201,x202)+E(f21(x201,x203),f21(x202,x203))
% 0.17/0.65 [21]~E(x211,x212)+E(f21(x213,x211),f21(x213,x212))
% 0.17/0.65 [22]~E(x221,x222)+E(f19(x221),f19(x222))
% 0.17/0.65 [23]~P1(x231)+P1(x232)+~E(x231,x232)
% 0.17/0.65 [24]P2(x242,x243)+~E(x241,x242)+~P2(x241,x243)
% 0.17/0.65 [25]P2(x253,x252)+~E(x251,x252)+~P2(x253,x251)
% 0.17/0.65 [26]~P4(x261)+P4(x262)+~E(x261,x262)
% 0.17/0.65 [27]~P3(x271)+P3(x272)+~E(x271,x272)
% 0.17/0.65
% 0.17/0.65 %-------------------------------------------
% 0.17/0.65 cnf(76,plain,
% 0.17/0.65 (E(a15,f2(a8,a7))),
% 0.17/0.65 inference(scs_inference,[],[36,33,38,2,45,58])).
% 0.17/0.65 cnf(99,plain,
% 0.17/0.65 (P2(f12(a1),f3(f3(a1,a1),a1))),
% 0.17/0.65 inference(scs_inference,[],[36,28,33,43,38,2,45,58,54,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,55])).
% 0.17/0.65 cnf(112,plain,
% 0.17/0.65 (P4(f2(a10,a6))),
% 0.17/0.65 inference(scs_inference,[],[36,28,32,33,34,43,44,38,2,45,58,54,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,55,52,46,57,27,26,3,53,50])).
% 0.17/0.65 cnf(116,plain,
% 0.17/0.65 (P1(f3(a1,a1))),
% 0.17/0.65 inference(scs_inference,[],[36,28,32,33,34,43,44,38,2,45,58,54,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,55,52,46,57,27,26,3,53,50,48,47])).
% 0.17/0.65 cnf(118,plain,
% 0.17/0.65 (P2(f2(a10,a6),a1)),
% 0.17/0.65 inference(scs_inference,[],[36,28,32,33,34,43,44,38,37,2,45,58,54,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,55,52,46,57,27,26,3,53,50,48,47,61])).
% 0.17/0.65 cnf(132,plain,
% 0.17/0.65 (~P4(f2(f12(a1),a10))),
% 0.17/0.65 inference(scs_inference,[],[36,28,32,33,34,43,44,38,37,2,45,58,54,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,55,52,46,57,27,26,3,53,50,48,47,61,66,60,59,51,62,69,68])).
% 0.17/0.65 cnf(163,plain,
% 0.17/0.65 ($false),
% 0.17/0.65 inference(scs_inference,[],[29,35,41,44,37,32,43,34,28,33,116,132,99,112,76,118,63,53,48,61,60,70,67,68,2]),
% 0.17/0.65 ['proof']).
% 0.17/0.65 % SZS output end Proof
% 0.17/0.65 % Total time :0.020000s
%------------------------------------------------------------------------------