%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV555-1.007 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 03:23:42 PM UTC 2026
% Result : Unsatisfiable 10.19s 2.28s
% Output : CNFRefutation 10.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 34
% Syntax : Number of formulae : 195 ( 85 unt; 0 def)
% Number of atoms : 649 ( 648 equ)
% Maximal formula atoms : 17 ( 3 avg)
% Number of connectives : 460 ( 6 ~; 454 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 42 ( 42 usr; 40 con; 0-3 aty)
% Number of variables : 41 ( 0 sgn 41 !; 0 ?; 34 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : select(store(X0,X1,X2),X1) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a1) ).
fof(f2,axiom,
! [X2,X3,X0,X1] :
( select(store(X2,X0,X3),X1) = select(X2,X1)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a2) ).
fof(f3,axiom,
a_32 = store(a1,i1,e_31),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp0) ).
fof(f4,axiom,
a_34 = store(a2,i1,e_33),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp1) ).
fof(f5,axiom,
a_36 = store(a_32,i2,e_35),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp2) ).
fof(f6,axiom,
a_38 = store(a_34,i2,e_37),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp3) ).
fof(f7,axiom,
a_40 = store(a_36,i3,e_39),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp4) ).
fof(f8,axiom,
a_42 = store(a_38,i3,e_41),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp5) ).
fof(f9,axiom,
a_44 = store(a_40,i4,e_43),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp6) ).
fof(f10,axiom,
a_46 = store(a_42,i4,e_45),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp7) ).
fof(f11,axiom,
a_48 = store(a_44,i5,e_47),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp8) ).
fof(f12,axiom,
a_50 = store(a_46,i5,e_49),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp9) ).
fof(f13,axiom,
a_52 = store(a_48,i6,e_51),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp10) ).
fof(f14,axiom,
a_54 = store(a_50,i6,e_53),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp11) ).
fof(f15,axiom,
a_56 = store(a_52,i7,e_55),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp12) ).
fof(f16,axiom,
a_58 = store(a_54,i7,e_57),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp13) ).
fof(f17,axiom,
e_31 = select(a2,i1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp14) ).
fof(f18,axiom,
e_33 = select(a1,i1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp15) ).
fof(f19,axiom,
e_35 = select(a_34,i2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp16) ).
fof(f20,axiom,
e_37 = select(a_32,i2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp17) ).
fof(f21,axiom,
e_39 = select(a_38,i3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp18) ).
fof(f22,axiom,
e_41 = select(a_36,i3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp19) ).
fof(f23,axiom,
e_43 = select(a_42,i4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp20) ).
fof(f24,axiom,
e_45 = select(a_40,i4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp21) ).
fof(f25,axiom,
e_47 = select(a_46,i5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp22) ).
fof(f26,axiom,
e_49 = select(a_44,i5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp23) ).
fof(f27,axiom,
e_51 = select(a_50,i6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp24) ).
fof(f28,axiom,
e_53 = select(a_48,i6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp25) ).
fof(f29,axiom,
e_55 = select(a_54,i7),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp26) ).
fof(f30,axiom,
e_57 = select(a_52,i7),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp27) ).
fof(f31,axiom,
e_60 = select(a1,i_59),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp28) ).
fof(f32,axiom,
e_61 = select(a2,i_59),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp29) ).
fof(f34,axiom,
a_56 = a_58,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp31) ).
fof(f35,negated_conjecture,
e_60 != e_61,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).
fof(f36,plain,
store(a_52,i7,e_55) = a_58,
inference(definition_unfolding,[],[f15,f34]) ).
tcf(c_84,plain,
! [X0: $i,X1: $i,X2: $i] : select(store(X0,X1,X2),X1) = X2,
inference(cnf_transformation,[],[f1]) ).
tcf(c_85,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X3 )
| ( select(store(X0,X1,X2),X3) = select(X0,X3) ) ),
inference(cnf_transformation,[],[f2]) ).
tcf(c_86,plain,
store(a1,i1,e_31) = a_32,
inference(cnf_transformation,[],[f3]) ).
tcf(c_87,plain,
store(a2,i1,e_33) = a_34,
inference(cnf_transformation,[],[f4]) ).
tcf(c_88,plain,
store(a_32,i2,e_35) = a_36,
inference(cnf_transformation,[],[f5]) ).
tcf(c_89,plain,
store(a_34,i2,e_37) = a_38,
inference(cnf_transformation,[],[f6]) ).
tcf(c_90,plain,
store(a_36,i3,e_39) = a_40,
inference(cnf_transformation,[],[f7]) ).
tcf(c_91,plain,
store(a_38,i3,e_41) = a_42,
inference(cnf_transformation,[],[f8]) ).
tcf(c_92,plain,
store(a_40,i4,e_43) = a_44,
inference(cnf_transformation,[],[f9]) ).
tcf(c_93,plain,
store(a_42,i4,e_45) = a_46,
inference(cnf_transformation,[],[f10]) ).
tcf(c_94,plain,
store(a_44,i5,e_47) = a_48,
inference(cnf_transformation,[],[f11]) ).
tcf(c_95,plain,
store(a_46,i5,e_49) = a_50,
inference(cnf_transformation,[],[f12]) ).
tcf(c_96,plain,
store(a_48,i6,e_51) = a_52,
inference(cnf_transformation,[],[f13]) ).
tcf(c_97,plain,
store(a_50,i6,e_53) = a_54,
inference(cnf_transformation,[],[f14]) ).
tcf(c_98,plain,
store(a_52,i7,e_55) = a_58,
inference(cnf_transformation,[],[f36]) ).
tcf(c_99,plain,
store(a_54,i7,e_57) = a_58,
inference(cnf_transformation,[],[f16]) ).
tcf(c_100,plain,
select(a2,i1) = e_31,
inference(cnf_transformation,[],[f17]) ).
tcf(c_101,plain,
select(a1,i1) = e_33,
inference(cnf_transformation,[],[f18]) ).
tcf(c_102,plain,
select(a_34,i2) = e_35,
inference(cnf_transformation,[],[f19]) ).
tcf(c_103,plain,
select(a_32,i2) = e_37,
inference(cnf_transformation,[],[f20]) ).
tcf(c_104,plain,
select(a_38,i3) = e_39,
inference(cnf_transformation,[],[f21]) ).
tcf(c_105,plain,
select(a_36,i3) = e_41,
inference(cnf_transformation,[],[f22]) ).
tcf(c_106,plain,
select(a_42,i4) = e_43,
inference(cnf_transformation,[],[f23]) ).
tcf(c_107,plain,
select(a_40,i4) = e_45,
inference(cnf_transformation,[],[f24]) ).
tcf(c_108,plain,
select(a_46,i5) = e_47,
inference(cnf_transformation,[],[f25]) ).
tcf(c_109,plain,
select(a_44,i5) = e_49,
inference(cnf_transformation,[],[f26]) ).
tcf(c_110,plain,
select(a_50,i6) = e_51,
inference(cnf_transformation,[],[f27]) ).
tcf(c_111,plain,
select(a_48,i6) = e_53,
inference(cnf_transformation,[],[f28]) ).
tcf(c_112,plain,
select(a_54,i7) = e_55,
inference(cnf_transformation,[],[f29]) ).
tcf(c_113,plain,
select(a_52,i7) = e_57,
inference(cnf_transformation,[],[f30]) ).
tcf(c_114,plain,
select(a1,i_59) = e_60,
inference(cnf_transformation,[],[f31]) ).
tcf(c_115,plain,
select(a2,i_59) = e_61,
inference(cnf_transformation,[],[f32]) ).
tcf(c_117,negated_conjecture,
e_60 != e_61,
inference(cnf_transformation,[],[f35]) ).
tcf(c_197,negated_conjecture,
e_60 != e_61,
inference(demodulation,[status(thm)],[c_117]) ).
tcf(c_305,plain,
select(a_32,i1) = e_31,
inference(superposition,[status(thm)],[c_86,c_84]) ).
tcf(c_306,plain,
select(a_34,i1) = e_33,
inference(superposition,[status(thm)],[c_87,c_84]) ).
tcf(c_307,plain,
select(a_36,i2) = e_35,
inference(superposition,[status(thm)],[c_88,c_84]) ).
tcf(c_308,plain,
select(a_38,i2) = e_37,
inference(superposition,[status(thm)],[c_89,c_84]) ).
tcf(c_309,plain,
select(a_40,i3) = e_39,
inference(superposition,[status(thm)],[c_90,c_84]) ).
tcf(c_310,plain,
select(a_42,i3) = e_41,
inference(superposition,[status(thm)],[c_91,c_84]) ).
tcf(c_311,plain,
select(a_44,i4) = e_43,
inference(superposition,[status(thm)],[c_92,c_84]) ).
tcf(c_312,plain,
select(a_46,i4) = e_45,
inference(superposition,[status(thm)],[c_93,c_84]) ).
tcf(c_313,plain,
select(a_48,i5) = e_47,
inference(superposition,[status(thm)],[c_94,c_84]) ).
tcf(c_314,plain,
select(a_50,i5) = e_49,
inference(superposition,[status(thm)],[c_95,c_84]) ).
tcf(c_315,plain,
select(a_52,i6) = e_51,
inference(superposition,[status(thm)],[c_96,c_84]) ).
tcf(c_316,plain,
select(a_54,i6) = e_53,
inference(superposition,[status(thm)],[c_97,c_84]) ).
tcf(c_317,plain,
select(a_58,i7) = e_55,
inference(superposition,[status(thm)],[c_98,c_84]) ).
tcf(c_318,plain,
select(a_58,i7) = e_57,
inference(superposition,[status(thm)],[c_99,c_84]) ).
tcf(c_319,plain,
e_55 = e_57,
inference(light_normalisation,[status(thm)],[c_318,c_317]) ).
tcf(c_320,plain,
store(a_54,i7,e_55) = a_58,
inference(demodulation,[status(thm)],[c_99,c_319]) ).
tcf(c_321,plain,
select(a_52,i7) = e_55,
inference(demodulation,[status(thm)],[c_113,c_319]) ).
tcf(c_325,plain,
! [X0: $i] :
( ( X0 = i1 )
| ( select(a_32,X0) = select(a1,X0) ) ),
inference(superposition,[status(thm)],[c_86,c_85]) ).
tcf(c_326,plain,
! [X0: $i] :
( ( X0 = i1 )
| ( select(a_34,X0) = select(a2,X0) ) ),
inference(superposition,[status(thm)],[c_87,c_85]) ).
tcf(c_327,plain,
! [X0: $i] :
( ( X0 = i2 )
| ( select(a_32,X0) = select(a_36,X0) ) ),
inference(superposition,[status(thm)],[c_88,c_85]) ).
tcf(c_328,plain,
! [X0: $i] :
( ( X0 = i2 )
| ( select(a_34,X0) = select(a_38,X0) ) ),
inference(superposition,[status(thm)],[c_89,c_85]) ).
tcf(c_329,plain,
! [X0: $i] :
( ( X0 = i3 )
| ( select(a_36,X0) = select(a_40,X0) ) ),
inference(superposition,[status(thm)],[c_90,c_85]) ).
tcf(c_330,plain,
! [X0: $i] :
( ( X0 = i3 )
| ( select(a_38,X0) = select(a_42,X0) ) ),
inference(superposition,[status(thm)],[c_91,c_85]) ).
tcf(c_331,plain,
! [X0: $i] :
( ( X0 = i4 )
| ( select(a_40,X0) = select(a_44,X0) ) ),
inference(superposition,[status(thm)],[c_92,c_85]) ).
tcf(c_332,plain,
! [X0: $i] :
( ( X0 = i4 )
| ( select(a_42,X0) = select(a_46,X0) ) ),
inference(superposition,[status(thm)],[c_93,c_85]) ).
tcf(c_333,plain,
! [X0: $i] :
( ( X0 = i5 )
| ( select(a_44,X0) = select(a_48,X0) ) ),
inference(superposition,[status(thm)],[c_94,c_85]) ).
tcf(c_334,plain,
! [X0: $i] :
( ( X0 = i5 )
| ( select(a_46,X0) = select(a_50,X0) ) ),
inference(superposition,[status(thm)],[c_95,c_85]) ).
tcf(c_335,plain,
! [X0: $i] :
( ( X0 = i6 )
| ( select(a_48,X0) = select(a_52,X0) ) ),
inference(superposition,[status(thm)],[c_96,c_85]) ).
tcf(c_336,plain,
! [X0: $i] :
( ( X0 = i6 )
| ( select(a_50,X0) = select(a_54,X0) ) ),
inference(superposition,[status(thm)],[c_97,c_85]) ).
tcf(c_337,plain,
! [X0: $i] :
( ( X0 = i7 )
| ( select(a_52,X0) = select(a_58,X0) ) ),
inference(superposition,[status(thm)],[c_98,c_85]) ).
tcf(c_378,plain,
! [X0: $i] :
( ( X0 = i7 )
| ( select(a_54,X0) = select(a_58,X0) ) ),
inference(superposition,[status(thm)],[c_320,c_85]) ).
tcf(c_389,plain,
( ( i1 = i2 )
| ( select(a1,i2) = e_37 ) ),
inference(superposition,[status(thm)],[c_325,c_103]) ).
tcf(c_403,plain,
( ( i1 = i2 )
| ( select(a2,i2) = e_35 ) ),
inference(superposition,[status(thm)],[c_326,c_102]) ).
tcf(c_417,plain,
( ( i2 = i3 )
| ( select(a_32,i3) = e_41 ) ),
inference(superposition,[status(thm)],[c_327,c_105]) ).
tcf(c_425,plain,
( ( i2 = i3 )
| ( i1 = i3 )
| ( select(a1,i3) = e_41 ) ),
inference(superposition,[status(thm)],[c_325,c_417]) ).
tcf(c_436,plain,
( ( i2 = i3 )
| ( select(a_34,i3) = e_39 ) ),
inference(superposition,[status(thm)],[c_328,c_104]) ).
tcf(c_444,plain,
( ( i2 = i3 )
| ( i1 = i3 )
| ( select(a2,i3) = e_39 ) ),
inference(superposition,[status(thm)],[c_326,c_436]) ).
tcf(c_457,plain,
( ( i3 = i4 )
| ( select(a_36,i4) = e_45 ) ),
inference(superposition,[status(thm)],[c_329,c_107]) ).
tcf(c_469,plain,
( ( i3 = i4 )
| ( select(a_38,i4) = e_43 ) ),
inference(superposition,[status(thm)],[c_330,c_106]) ).
tcf(c_477,plain,
( ( i3 = i4 )
| ( i2 = i4 )
| ( select(a_32,i4) = e_45 ) ),
inference(superposition,[status(thm)],[c_327,c_457]) ).
tcf(c_491,plain,
( ( i3 = i4 )
| ( i2 = i4 )
| ( select(a_34,i4) = e_43 ) ),
inference(superposition,[status(thm)],[c_328,c_469]) ).
tcf(c_502,plain,
( ( i4 = i5 )
| ( select(a_40,i5) = e_49 ) ),
inference(superposition,[status(thm)],[c_331,c_109]) ).
tcf(c_510,plain,
( ( i4 = i5 )
| ( i3 = i5 )
| ( select(a_36,i5) = e_49 ) ),
inference(superposition,[status(thm)],[c_329,c_502]) ).
tcf(c_521,plain,
( ( i4 = i5 )
| ( select(a_42,i5) = e_47 ) ),
inference(superposition,[status(thm)],[c_332,c_108]) ).
tcf(c_529,plain,
( ( i4 = i5 )
| ( i3 = i5 )
| ( select(a_38,i5) = e_47 ) ),
inference(superposition,[status(thm)],[c_330,c_521]) ).
tcf(c_540,plain,
( ( i5 = i6 )
| ( select(a_44,i6) = e_53 ) ),
inference(superposition,[status(thm)],[c_333,c_111]) ).
tcf(c_552,plain,
( ( i5 = i6 )
| ( i4 = i6 )
| ( select(a_40,i6) = e_53 ) ),
inference(superposition,[status(thm)],[c_331,c_540]) ).
tcf(c_563,plain,
( ( i5 = i6 )
| ( select(a_46,i6) = e_51 ) ),
inference(superposition,[status(thm)],[c_334,c_110]) ).
tcf(c_571,plain,
( ( i5 = i6 )
| ( i4 = i6 )
| ( select(a_42,i6) = e_51 ) ),
inference(superposition,[status(thm)],[c_332,c_563]) ).
tcf(c_586,plain,
( ( i6 = i7 )
| ( select(a_48,i7) = e_55 ) ),
inference(superposition,[status(thm)],[c_335,c_321]) ).
tcf(c_594,plain,
( ( i6 = i7 )
| ( i5 = i7 )
| ( select(a_44,i7) = e_55 ) ),
inference(superposition,[status(thm)],[c_333,c_586]) ).
tcf(c_605,plain,
( ( i6 = i7 )
| ( select(a_50,i7) = e_55 ) ),
inference(superposition,[status(thm)],[c_336,c_112]) ).
tcf(c_620,plain,
( ( i6 = i7 )
| ( i5 = i7 )
| ( select(a_46,i7) = e_55 ) ),
inference(superposition,[status(thm)],[c_334,c_605]) ).
tcf(c_638,plain,
! [X0: $i] :
( ( X0 = i7 )
| ( select(a_52,X0) = select(a_54,X0) ) ),
inference(superposition,[status(thm)],[c_378,c_337]) ).
tcf(c_656,plain,
( ( i6 = i7 )
| ( select(a_52,i6) = e_53 ) ),
inference(superposition,[status(thm)],[c_638,c_316]) ).
tcf(c_657,plain,
! [X0: $i] :
( ( X0 = i7 )
| ( X0 = i6 )
| ( select(a_50,X0) = select(a_52,X0) ) ),
inference(superposition,[status(thm)],[c_638,c_336]) ).
tcf(c_658,plain,
( ( e_51 = e_53 )
| ( i6 = i7 ) ),
inference(light_normalisation,[status(thm)],[c_656,c_315]) ).
tcf(c_686,plain,
( ( i6 = i7 )
| ( store(a_50,i6,e_51) = a_54 ) ),
inference(superposition,[status(thm)],[c_658,c_97]) ).
tcf(c_711,plain,
( ( i6 = i7 )
| ( select(a_54,i6) = e_51 ) ),
inference(superposition,[status(thm)],[c_686,c_84]) ).
tcf(c_725,plain,
( ( i3 = i4 )
| ( i2 = i4 )
| ( i1 = i4 )
| ( select(a1,i4) = e_45 ) ),
inference(superposition,[status(thm)],[c_325,c_477]) ).
tcf(c_737,plain,
( ( i3 = i4 )
| ( i2 = i4 )
| ( i1 = i4 )
| ( select(a2,i4) = e_43 ) ),
inference(superposition,[status(thm)],[c_326,c_491]) ).
tcf(c_749,plain,
( ( i4 = i5 )
| ( i3 = i5 )
| ( i2 = i5 )
| ( select(a_32,i5) = e_49 ) ),
inference(superposition,[status(thm)],[c_327,c_510]) ).
tcf(c_761,plain,
( ( i4 = i5 )
| ( i3 = i5 )
| ( i2 = i5 )
| ( select(a_34,i5) = e_47 ) ),
inference(superposition,[status(thm)],[c_328,c_529]) ).
tcf(c_773,plain,
( ( i5 = i6 )
| ( i4 = i6 )
| ( i3 = i6 )
| ( select(a_36,i6) = e_53 ) ),
inference(superposition,[status(thm)],[c_329,c_552]) ).
tcf(c_785,plain,
( ( i5 = i6 )
| ( i4 = i6 )
| ( i3 = i6 )
| ( select(a_38,i6) = e_51 ) ),
inference(superposition,[status(thm)],[c_330,c_571]) ).
tcf(c_797,plain,
( ( i6 = i7 )
| ( i5 = i7 )
| ( i4 = i7 )
| ( select(a_40,i7) = e_55 ) ),
inference(superposition,[status(thm)],[c_331,c_594]) ).
tcf(c_813,plain,
( ( i6 = i7 )
| ( i5 = i7 )
| ( i4 = i7 )
| ( select(a_42,i7) = e_55 ) ),
inference(superposition,[status(thm)],[c_332,c_620]) ).
tcf(c_830,plain,
! [X0: $i] :
( ( X0 = i7 )
| ( X0 = i6 )
| ( select(a_48,X0) = select(a_50,X0) ) ),
inference(superposition,[status(thm)],[c_657,c_335]) ).
tcf(c_846,plain,
( ( i5 = i7 )
| ( i5 = i6 )
| ( select(a_48,i5) = e_49 ) ),
inference(superposition,[status(thm)],[c_830,c_314]) ).
tcf(c_847,plain,
! [X0: $i] :
( ( X0 = i7 )
| ( X0 = i6 )
| ( X0 = i5 )
| ( select(a_46,X0) = select(a_48,X0) ) ),
inference(superposition,[status(thm)],[c_830,c_334]) ).
tcf(c_849,plain,
( ( e_47 = e_49 )
| ( i5 = i7 )
| ( i5 = i6 ) ),
inference(light_normalisation,[status(thm)],[c_846,c_313]) ).
tcf(c_916,plain,
( ( i4 = i5 )
| ( i3 = i5 )
| ( i2 = i5 )
| ( i1 = i5 )
| ( select(a1,i5) = e_49 ) ),
inference(superposition,[status(thm)],[c_325,c_749]) ).
tcf(c_931,plain,
( ( i4 = i5 )
| ( i3 = i5 )
| ( i2 = i5 )
| ( i1 = i5 )
| ( select(a2,i5) = e_47 ) ),
inference(superposition,[status(thm)],[c_326,c_761]) ).
tcf(c_946,plain,
( ( i5 = i6 )
| ( i4 = i6 )
| ( i3 = i6 )
| ( i2 = i6 )
| ( select(a_32,i6) = e_53 ) ),
inference(superposition,[status(thm)],[c_327,c_773]) ).
tcf(c_961,plain,
( ( i5 = i6 )
| ( i4 = i6 )
| ( i3 = i6 )
| ( i2 = i6 )
| ( select(a_34,i6) = e_51 ) ),
inference(superposition,[status(thm)],[c_328,c_785]) ).
tcf(c_976,plain,
( ( i6 = i7 )
| ( i5 = i7 )
| ( i4 = i7 )
| ( i3 = i7 )
| ( select(a_36,i7) = e_55 ) ),
inference(superposition,[status(thm)],[c_329,c_797]) ).
tcf(c_991,plain,
( ( i6 = i7 )
| ( i5 = i7 )
| ( i4 = i7 )
| ( i3 = i7 )
| ( select(a_38,i7) = e_55 ) ),
inference(superposition,[status(thm)],[c_330,c_813]) ).
tcf(c_1012,plain,
! [X0: $i] :
( ( X0 = i7 )
| ( X0 = i6 )
| ( X0 = i5 )
| ( select(a_44,X0) = select(a_46,X0) ) ),
inference(superposition,[status(thm)],[c_847,c_333]) ).
tcf(c_1052,plain,
( ( i4 = i7 )
| ( i4 = i6 )
| ( i4 = i5 )
| ( select(a_44,i4) = e_45 ) ),
inference(superposition,[status(thm)],[c_1012,c_312]) ).
tcf(c_1053,plain,
! [X0: $i] :
( ( X0 = i7 )
| ( X0 = i6 )
| ( X0 = i5 )
| ( X0 = i4 )
| ( select(a_42,X0) = select(a_44,X0) ) ),
inference(superposition,[status(thm)],[c_1012,c_332]) ).
tcf(c_1056,plain,
( ( e_43 = e_45 )
| ( i4 = i7 )
| ( i4 = i6 )
| ( i4 = i5 ) ),
inference(light_normalisation,[status(thm)],[c_1052,c_311]) ).
tcf(c_1075,plain,
( ( i4 = i7 )
| ( i4 = i6 )
| ( i4 = i5 )
| ( store(a_42,i4,e_43) = a_46 ) ),
inference(superposition,[status(thm)],[c_1056,c_93]) ).
tcf(c_1089,plain,
( ( i4 = i7 )
| ( i4 = i6 )
| ( i4 = i5 )
| ( select(a_46,i4) = e_43 ) ),
inference(superposition,[status(thm)],[c_1075,c_84]) ).
tcf(c_1121,plain,
( ( i5 = i6 )
| ( i4 = i6 )
| ( i3 = i6 )
| ( i2 = i6 )
| ( i1 = i6 )
| ( select(a1,i6) = e_53 ) ),
inference(superposition,[status(thm)],[c_325,c_946]) ).
tcf(c_1139,plain,
( ( i5 = i6 )
| ( i4 = i6 )
| ( i3 = i6 )
| ( i2 = i6 )
| ( i1 = i6 )
| ( select(a2,i6) = e_51 ) ),
inference(superposition,[status(thm)],[c_326,c_961]) ).
tcf(c_1157,plain,
( ( i6 = i7 )
| ( i5 = i7 )
| ( i4 = i7 )
| ( i3 = i7 )
| ( i2 = i7 )
| ( select(a_32,i7) = e_55 ) ),
inference(superposition,[status(thm)],[c_327,c_976]) ).
tcf(c_1175,plain,
( ( i6 = i7 )
| ( i5 = i7 )
| ( i4 = i7 )
| ( i3 = i7 )
| ( i2 = i7 )
| ( select(a_34,i7) = e_55 ) ),
inference(superposition,[status(thm)],[c_328,c_991]) ).
tcf(c_1202,plain,
! [X0: $i] :
( ( X0 = i7 )
| ( X0 = i6 )
| ( X0 = i5 )
| ( X0 = i4 )
| ( select(a_40,X0) = select(a_42,X0) ) ),
inference(superposition,[status(thm)],[c_1053,c_331]) ).
tcf(c_1259,plain,
( ( i3 = i7 )
| ( i3 = i6 )
| ( i3 = i5 )
| ( i3 = i4 )
| ( select(a_40,i3) = e_41 ) ),
inference(superposition,[status(thm)],[c_1202,c_310]) ).
tcf(c_1260,plain,
! [X0: $i] :
( ( X0 = i7 )
| ( X0 = i6 )
| ( X0 = i5 )
| ( X0 = i4 )
| ( X0 = i3 )
| ( select(a_38,X0) = select(a_40,X0) ) ),
inference(superposition,[status(thm)],[c_1202,c_330]) ).
tcf(c_1264,plain,
( ( e_39 = e_41 )
| ( i3 = i7 )
| ( i3 = i6 )
| ( i3 = i5 )
| ( i3 = i4 ) ),
inference(light_normalisation,[status(thm)],[c_1259,c_309]) ).
tcf(c_1287,plain,
( ( i3 = i7 )
| ( i3 = i6 )
| ( i3 = i5 )
| ( i3 = i4 )
| ( store(a_38,i3,e_39) = a_42 ) ),
inference(superposition,[status(thm)],[c_1264,c_91]) ).
tcf(c_1304,plain,
( ( i3 = i7 )
| ( i3 = i6 )
| ( i3 = i5 )
| ( i3 = i4 )
| ( select(a_42,i3) = e_39 ) ),
inference(superposition,[status(thm)],[c_1287,c_84]) ).
tcf(c_1353,plain,
( ( i6 = i7 )
| ( i5 = i7 )
| ( i4 = i7 )
| ( i3 = i7 )
| ( i2 = i7 )
| ( i1 = i7 )
| ( select(a1,i7) = e_55 ) ),
inference(superposition,[status(thm)],[c_325,c_1157]) ).
tcf(c_1374,plain,
( ( i6 = i7 )
| ( i5 = i7 )
| ( i4 = i7 )
| ( i3 = i7 )
| ( i2 = i7 )
| ( i1 = i7 )
| ( select(a2,i7) = e_55 ) ),
inference(superposition,[status(thm)],[c_326,c_1175]) ).
tcf(c_1411,plain,
! [X0: $i] :
( ( X0 = i7 )
| ( X0 = i6 )
| ( X0 = i5 )
| ( X0 = i4 )
| ( X0 = i3 )
| ( select(a_36,X0) = select(a_38,X0) ) ),
inference(superposition,[status(thm)],[c_1260,c_329]) ).
tcf(c_1442,plain,
( ( i2 = i7 )
| ( i2 = i6 )
| ( i2 = i5 )
| ( i2 = i4 )
| ( i2 = i3 )
| ( select(a_36,i2) = e_37 ) ),
inference(superposition,[status(thm)],[c_1411,c_308]) ).
tcf(c_1443,plain,
! [X0: $i] :
( ( X0 = i7 )
| ( X0 = i6 )
| ( X0 = i5 )
| ( X0 = i4 )
| ( X0 = i3 )
| ( X0 = i2 )
| ( select(a_34,X0) = select(a_36,X0) ) ),
inference(superposition,[status(thm)],[c_1411,c_328]) ).
tcf(c_1448,plain,
( ( e_35 = e_37 )
| ( i2 = i7 )
| ( i2 = i6 )
| ( i2 = i5 )
| ( i2 = i4 )
| ( i2 = i3 ) ),
inference(light_normalisation,[status(thm)],[c_1442,c_307]) ).
tcf(c_1475,plain,
( ( i2 = i7 )
| ( i2 = i6 )
| ( i2 = i5 )
| ( i2 = i4 )
| ( i2 = i3 )
| ( store(a_34,i2,e_35) = a_38 ) ),
inference(superposition,[status(thm)],[c_1448,c_89]) ).
tcf(c_1495,plain,
( ( i2 = i7 )
| ( i2 = i6 )
| ( i2 = i5 )
| ( i2 = i4 )
| ( i2 = i3 )
| ( select(a_38,i2) = e_35 ) ),
inference(superposition,[status(thm)],[c_1475,c_84]) ).
tcf(c_1548,plain,
! [X0: $i] :
( ( X0 = i7 )
| ( X0 = i6 )
| ( X0 = i5 )
| ( X0 = i4 )
| ( X0 = i3 )
| ( X0 = i2 )
| ( select(a_32,X0) = select(a_34,X0) ) ),
inference(superposition,[status(thm)],[c_1443,c_327]) ).
tcf(c_1584,plain,
( ( i1 = i7 )
| ( i1 = i6 )
| ( i1 = i5 )
| ( i1 = i4 )
| ( i1 = i3 )
| ( i1 = i2 )
| ( select(a_32,i1) = e_33 ) ),
inference(superposition,[status(thm)],[c_1548,c_306]) ).
tcf(c_1585,plain,
! [X0: $i] :
( ( X0 = i7 )
| ( X0 = i6 )
| ( X0 = i5 )
| ( X0 = i4 )
| ( X0 = i3 )
| ( X0 = i2 )
| ( X0 = i1 )
| ( select(a_32,X0) = select(a2,X0) ) ),
inference(superposition,[status(thm)],[c_1548,c_326]) ).
tcf(c_1591,plain,
( ( e_31 = e_33 )
| ( i1 = i7 )
| ( i1 = i6 )
| ( i1 = i5 )
| ( i1 = i4 )
| ( i1 = i3 )
| ( i1 = i2 ) ),
inference(light_normalisation,[status(thm)],[c_1584,c_305]) ).
tcf(c_1667,plain,
! [X0: $i] :
( ( X0 = i7 )
| ( X0 = i6 )
| ( X0 = i5 )
| ( X0 = i4 )
| ( X0 = i3 )
| ( X0 = i2 )
| ( X0 = i1 )
| ( select(a1,X0) = select(a2,X0) ) ),
inference(superposition,[status(thm)],[c_1585,c_325]) ).
tcf(c_1696,plain,
( ( i1 = i7 )
| ( i1 = i6 )
| ( i1 = i5 )
| ( i1 = i4 )
| ( i1 = i3 )
| ( i1 = i2 )
| ( store(a2,i1,e_31) = a_34 ) ),
inference(superposition,[status(thm)],[c_1591,c_87]) ).
tcf(c_1719,plain,
( ( i1 = i7 )
| ( i1 = i6 )
| ( i1 = i5 )
| ( i1 = i4 )
| ( i1 = i3 )
| ( i1 = i2 )
| ( select(a_34,i1) = e_31 ) ),
inference(superposition,[status(thm)],[c_1696,c_84]) ).
tcf(c_1746,plain,
( ( i7 = i_59 )
| ( i6 = i_59 )
| ( i5 = i_59 )
| ( i4 = i_59 )
| ( i3 = i_59 )
| ( i2 = i_59 )
| ( i1 = i_59 )
| ( select(a1,i_59) = e_61 ) ),
inference(superposition,[status(thm)],[c_1667,c_115]) ).
tcf(c_1753,plain,
( ( e_60 = e_61 )
| ( i7 = i_59 )
| ( i6 = i_59 )
| ( i5 = i_59 )
| ( i4 = i_59 )
| ( i3 = i_59 )
| ( i2 = i_59 )
| ( i1 = i_59 ) ),
inference(light_normalisation,[status(thm)],[c_1746,c_114]) ).
tcf(c_1754,plain,
( ( i7 = i_59 )
| ( i6 = i_59 )
| ( i5 = i_59 )
| ( i4 = i_59 )
| ( i3 = i_59 )
| ( i2 = i_59 )
| ( i1 = i_59 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1753,c_197]) ).
tcf(c_1776,plain,
( ( i6 = i_59 )
| ( i5 = i_59 )
| ( i4 = i_59 )
| ( i3 = i_59 )
| ( i2 = i_59 )
| ( i1 = i_59 )
| ( select(a2,i7) = e_61 ) ),
inference(superposition,[status(thm)],[c_1754,c_115]) ).
tcf(c_1777,plain,
( ( i6 = i_59 )
| ( i5 = i_59 )
| ( i4 = i_59 )
| ( i3 = i_59 )
| ( i2 = i_59 )
| ( i1 = i_59 )
| ( select(a1,i7) = e_60 ) ),
inference(superposition,[status(thm)],[c_1754,c_114]) ).
tcf(c_1809,plain,
( ( e_55 = e_61 )
| ( i6 = i_59 )
| ( i6 = i7 )
| ( i5 = i_59 )
| ( i5 = i7 )
| ( i4 = i_59 )
| ( i4 = i7 )
| ( i3 = i_59 )
| ( i3 = i7 )
| ( i2 = i_59 )
| ( i2 = i7 )
| ( i1 = i_59 )
| ( i1 = i7 ) ),
inference(superposition,[status(thm)],[c_1776,c_1374]) ).
tcf(c_1837,plain,
( ( e_55 = e_60 )
| ( i6 = i_59 )
| ( i6 = i7 )
| ( i5 = i_59 )
| ( i5 = i7 )
| ( i4 = i_59 )
| ( i4 = i7 )
| ( i3 = i_59 )
| ( i3 = i7 )
| ( i2 = i_59 )
| ( i2 = i7 )
| ( i1 = i_59 )
| ( i1 = i7 ) ),
inference(superposition,[status(thm)],[c_1353,c_1777]) ).
tcf(c_1878,plain,
( ( i6 = i_59 )
| ( i6 = i7 )
| ( i5 = i_59 )
| ( i5 = i7 )
| ( i4 = i_59 )
| ( i4 = i7 )
| ( i3 = i_59 )
| ( i3 = i7 )
| ( i2 = i_59 )
| ( i2 = i7 )
| ( i1 = i_59 )
| ( i1 = i7 )
| ( e_55 != e_60 ) ),
inference(superposition,[status(thm)],[c_1809,c_197]) ).
tcf(c_1908,plain,
( ( i1 = i7 )
| ( i1 = i_59 )
| ( i2 = i7 )
| ( i2 = i_59 )
| ( i3 = i7 )
| ( i3 = i_59 )
| ( i4 = i7 )
| ( i4 = i_59 )
| ( i5 = i7 )
| ( i5 = i_59 )
| ( i6 = i7 )
| ( i6 = i_59 ) ),
inference(global_subsumption_just,[status(thm)],[c_1837,c_1837,c_1878]) ).
tcf(c_1909,plain,
( ( i6 = i_59 )
| ( i6 = i7 )
| ( i5 = i_59 )
| ( i5 = i7 )
| ( i4 = i_59 )
| ( i4 = i7 )
| ( i3 = i_59 )
| ( i3 = i7 )
| ( i2 = i_59 )
| ( i2 = i7 )
| ( i1 = i_59 )
| ( i1 = i7 ) ),
inference(renaming,[status(thm)],[c_1908]) ).
tcf(c_1936,plain,
( ( i6 = i7 )
| ( i5 = i_59 )
| ( i5 = i7 )
| ( i4 = i_59 )
| ( i4 = i7 )
| ( i3 = i_59 )
| ( i3 = i7 )
| ( i2 = i_59 )
| ( i2 = i7 )
| ( i1 = i_59 )
| ( i1 = i7 )
| ( select(a2,i6) = e_61 ) ),
inference(superposition,[status(thm)],[c_1909,c_115]) ).
tcf(c_1937,plain,
( ( i6 = i7 )
| ( i5 = i_59 )
| ( i5 = i7 )
| ( i4 = i_59 )
| ( i4 = i7 )
| ( i3 = i_59 )
| ( i3 = i7 )
| ( i2 = i_59 )
| ( i2 = i7 )
| ( i1 = i_59 )
| ( i1 = i7 )
| ( select(a1,i6) = e_60 ) ),
inference(superposition,[status(thm)],[c_1909,c_114]) ).
tcf(c_1991,plain,
( ( e_51 = e_61 )
| ( i6 = i7 )
| ( i5 = i_59 )
| ( i5 = i7 )
| ( i5 = i6 )
| ( i4 = i_59 )
| ( i4 = i7 )
| ( i4 = i6 )
| ( i3 = i_59 )
| ( i3 = i7 )
| ( i3 = i6 )
| ( i2 = i_59 )
| ( i2 = i7 )
| ( i2 = i6 )
| ( i1 = i_59 )
| ( i1 = i7 )
| ( i1 = i6 ) ),
inference(superposition,[status(thm)],[c_1936,c_1139]) ).
tcf(c_2033,plain,
( ( e_53 = e_60 )
| ( i6 = i7 )
| ( i5 = i_59 )
| ( i5 = i7 )
| ( i5 = i6 )
| ( i4 = i_59 )
| ( i4 = i7 )
| ( i4 = i6 )
| ( i3 = i_59 )
| ( i3 = i7 )
| ( i3 = i6 )
| ( i2 = i_59 )
| ( i2 = i7 )
| ( i2 = i6 )
| ( i1 = i_59 )
| ( i1 = i7 )
| ( i1 = i6 ) ),
inference(superposition,[status(thm)],[c_1121,c_1937]) ).
tcf(c_2086,plain,
( ( i6 = i7 )
| ( i5 = i_59 )
| ( i5 = i7 )
| ( i5 = i6 )
| ( i4 = i_59 )
| ( i4 = i7 )
| ( i4 = i6 )
| ( i3 = i_59 )
| ( i3 = i7 )
| ( i3 = i6 )
| ( i2 = i_59 )
| ( i2 = i7 )
| ( i2 = i6 )
| ( i1 = i_59 )
| ( i1 = i7 )
| ( i1 = i6 )
| ( e_51 != e_60 ) ),
inference(superposition,[status(thm)],[c_1991,c_197]) ).
tcf(c_2172,plain,
( ( i6 = i7 )
| ( i5 = i_59 )
| ( i5 = i7 )
| ( i5 = i6 )
| ( i4 = i_59 )
| ( i4 = i7 )
| ( i4 = i6 )
| ( i3 = i_59 )
| ( i3 = i7 )
| ( i3 = i6 )
| ( i2 = i_59 )
| ( i2 = i7 )
| ( i2 = i6 )
| ( i1 = i_59 )
| ( i1 = i7 )
| ( i1 = i6 )
| ( e_51 != e_53 ) ),
inference(superposition,[status(thm)],[c_2033,c_2086]) ).
tcf(c_2197,plain,
( ( i6 = i7 )
| ( i5 = i_59 )
| ( i5 = i7 )
| ( i5 = i6 )
| ( i4 = i_59 )
| ( i4 = i7 )
| ( i4 = i6 )
| ( i3 = i_59 )
| ( i3 = i7 )
| ( i3 = i6 )
| ( i2 = i_59 )
| ( i2 = i7 )
| ( i2 = i6 )
| ( i1 = i_59 )
| ( i1 = i7 )
| ( i1 = i6 ) ),
inference(global_subsumption_just,[status(thm)],[c_2172,c_658,c_2172]) ).
tcf(c_18841,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_2197,c_1909,c_1754,c_1719,c_1495,c_1442,c_1353,c_1304,c_1264,c_1259,c_1175,c_1157,c_1139,c_1121,c_1089,c_1056,c_1052,c_991,c_976,c_961,c_946,c_931,c_916,c_849,c_813,c_797,c_785,c_773,c_761,c_749,c_737,c_725,c_711,c_656,c_620,c_605,c_594,c_586,c_571,c_563,c_552,c_540,c_529,c_521,c_510,c_502,c_491,c_477,c_469,c_457,c_444,c_436,c_425,c_417,c_403,c_389,c_321,c_316,c_315,c_314,c_313,c_312,c_311,c_310,c_309,c_308,c_307,c_306,c_305,c_197,c_115,c_114,c_112,c_111,c_110,c_109,c_108,c_107,c_106,c_105,c_104,c_103,c_102,c_101,c_100]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV555-1.007 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n020.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Thu Sep 24 20:30:33 UTC 2026
% 0.12/0.36 % CPUTime :
% 0.12/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.39 Running first-order theorem proving
% 0.12/0.39 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.40
% 0.12/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.40
% 0.12/0.41 % Detected problem language: tptp
% 0.12/0.42 % Proving...
% 10.19/2.28 % SZS status Started for theBenchmark.p
% 10.19/2.28 % SZS status Unsatisfiable for theBenchmark.p
% 10.19/2.28
% 10.19/2.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 10.19/2.28
% 10.19/2.28 % ------ iProver source info
% 10.19/2.28
% 10.19/2.28 % git: date: 2026-07-19 20:42:38 +0200
% 10.19/2.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 10.19/2.28 % git: non_committed_changes: false
% 10.19/2.28
% 10.19/2.28 % ------ Parsing...% successful
% 10.19/2.28
% 10.19/2.28
% 10.19/2.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 10.19/2.28
% 10.19/2.28 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 10.19/2.28
% 10.19/2.28 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 10.19/2.28
% 10.19/2.28 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 10.19/2.28 % ------ Proving...
% 10.19/2.28 % ------ Problem Properties
% 10.19/2.28
% 10.19/2.28 %
% 10.19/2.28 % clauses 34
% 10.19/2.28 % conjectures 1
% 10.19/2.28 % EPR 1
% 10.19/2.28 % Horn 33
% 10.19/2.28 % unary 33
% 10.19/2.28 % binary 1
% 10.19/2.28 % lits 35
% 10.19/2.28 % lits eq 35
% 10.19/2.28 % fd_pure 0
% 10.19/2.28 % fd_pseudo 0
% 10.19/2.28 % fd_cond 0
% 10.19/2.28 % fd_pseudo_cond 1
% 10.19/2.28 % AC symbols 0
% 10.19/2.28
% 10.19/2.28 % ------ Schedule dynamic 5 is on
% 10.19/2.28
% 10.19/2.28 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 10.19/2.28
% 10.19/2.28
% 10.19/2.28 % ------
% 10.19/2.28 % Current options:
% 10.19/2.28 % ------
% 10.19/2.28
% 10.19/2.28
% 10.19/2.28 %
% 10.19/2.28
% 10.19/2.28 % ------ Proving...
% 10.19/2.28 %
% 10.19/2.28
% 10.19/2.28 % SZS status Unsatisfiable for theBenchmark.p
% 10.19/2.28
% 10.19/2.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 10.19/2.28
% 10.19/2.28
%------------------------------------------------------------------------------