%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV557-1.004 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n007.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 : Tue Sep 29 01:18:32 PM UTC 2026
% Result : Unsatisfiable 4.90s 1.43s
% Output : Refutation 5.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 56
% Syntax : Number of formulae : 199 ( 93 unt; 51 def)
% Number of atoms : 356 ( 133 equ)
% Maximal formula atoms : 26 ( 1 avg)
% Number of connectives : 282 ( 125 ~; 122 |; 0 &)
% ( 35 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 2 avg)
% Maximal term depth : 9 ( 1 avg)
% Number of predicates : 37 ( 35 usr; 36 prp; 0-2 aty)
% Number of functors : 24 ( 24 usr; 22 con; 0-3 aty)
% Number of variables : 5 ( 0 sgn 5 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : select(store(X0,X1,X2),X1) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a1) ).
fof(f3,axiom,
! [X0,X1] : store(X0,X1,select(X0,X1)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a3) ).
fof(f6,negated_conjecture,
store(store(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i3,select(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3)),i4,select(store(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3,select(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i3)),i4)) = store(store(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3,select(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i3)),i4,select(store(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i3,select(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3)),i4)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp0) ).
fof(f7,negated_conjecture,
a1 != a2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).
fof(f8,definition,
sF0 = select(a2,i1),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f9,plain,
select(a2,i1) = sF0,
inference(reorient_equations,[],[f8]) ).
fof(f10,definition,
sF1 = store(a1,i1,sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f11,plain,
store(a1,i1,sF0) = sF1,
inference(reorient_equations,[],[f10]) ).
fof(f12,definition,
sF2 = select(a1,i1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f13,plain,
select(a1,i1) = sF2,
inference(reorient_equations,[],[f12]) ).
fof(f14,definition,
sF3 = store(a2,i1,sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f15,plain,
store(a2,i1,sF2) = sF3,
inference(reorient_equations,[],[f14]) ).
fof(f16,definition,
sF4 = select(sF3,i2),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f17,plain,
select(sF3,i2) = sF4,
inference(reorient_equations,[],[f16]) ).
fof(f18,definition,
sF5 = store(sF1,i2,sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f19,plain,
store(sF1,i2,sF4) = sF5,
inference(reorient_equations,[],[f18]) ).
fof(f20,definition,
sF6 = select(sF1,i2),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f21,plain,
select(sF1,i2) = sF6,
inference(reorient_equations,[],[f20]) ).
fof(f22,definition,
sF7 = store(sF3,i2,sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f23,plain,
store(sF3,i2,sF6) = sF7,
inference(reorient_equations,[],[f22]) ).
fof(f24,definition,
sF8 = select(sF7,i3),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f25,plain,
select(sF7,i3) = sF8,
inference(reorient_equations,[],[f24]) ).
fof(f26,definition,
sF9 = store(sF5,i3,sF8),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f27,plain,
store(sF5,i3,sF8) = sF9,
inference(reorient_equations,[],[f26]) ).
fof(f28,definition,
sF10 = select(sF5,i3),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f29,plain,
select(sF5,i3) = sF10,
inference(reorient_equations,[],[f28]) ).
fof(f30,definition,
sF11 = store(sF7,i3,sF10),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
fof(f31,plain,
store(sF7,i3,sF10) = sF11,
inference(reorient_equations,[],[f30]) ).
fof(f32,definition,
sF12 = select(sF11,i4),
introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).
fof(f33,plain,
select(sF11,i4) = sF12,
inference(reorient_equations,[],[f32]) ).
fof(f34,definition,
sF13 = store(sF9,i4,sF12),
introduced(definition,[new_symbols(definition,[sF13])],[function_definition]) ).
fof(f35,plain,
store(sF9,i4,sF12) = sF13,
inference(reorient_equations,[],[f34]) ).
fof(f36,definition,
sF14 = select(sF9,i4),
introduced(definition,[new_symbols(definition,[sF14])],[function_definition]) ).
fof(f37,plain,
select(sF9,i4) = sF14,
inference(reorient_equations,[],[f36]) ).
fof(f38,definition,
sF15 = store(sF11,i4,sF14),
introduced(definition,[new_symbols(definition,[sF15])],[function_definition]) ).
fof(f39,plain,
store(sF11,i4,sF14) = sF15,
inference(reorient_equations,[],[f38]) ).
fof(f40,plain,
sF13 = sF15,
inference(definition_folding,[],[f6,f39,f37,f27,f25,f23,f21,f11,f9,f15,f13,f19,f17,f15,f13,f11,f9,f31,f29,f19,f17,f15,f13,f11,f9,f23,f21,f11,f9,f15,f13,f35,f33,f31,f29,f19,f17,f15,f13,f11,f9,f23,f21,f11,f9,f15,f13,f27,f25,f23,f21,f11,f9,f15,f13,f19,f17,f15,f13,f11,f9]) ).
fof(f42,definition,
( spl16_1
<=> a1 = a2 ),
introduced(definition,[new_symbols(definition,[spl16_1])],[avatar_definition]) ).
fof(f45,plain,
~ spl16_1,
inference(avatar_split_clause,[],[f7,f42]) ).
fof(f47,definition,
( spl16_2
<=> sF13 = sF15 ),
introduced(definition,[new_symbols(definition,[spl16_2])],[avatar_definition]) ).
fof(f49,plain,
( sF13 = sF15
| ~ spl16_2 ),
inference(avatar_component_clause,[],[f47]) ).
fof(f50,plain,
spl16_2,
inference(avatar_split_clause,[],[f40,f47]) ).
fof(f52,definition,
( spl16_3
<=> select(a2,i1) = sF0 ),
introduced(definition,[new_symbols(definition,[spl16_3])],[avatar_definition]) ).
fof(f54,plain,
( select(a2,i1) = sF0
| ~ spl16_3 ),
inference(avatar_component_clause,[],[f52]) ).
fof(f55,plain,
spl16_3,
inference(avatar_split_clause,[],[f9,f52]) ).
fof(f57,definition,
( spl16_4
<=> store(a1,i1,sF0) = sF1 ),
introduced(definition,[new_symbols(definition,[spl16_4])],[avatar_definition]) ).
fof(f59,plain,
( store(a1,i1,sF0) = sF1
| ~ spl16_4 ),
inference(avatar_component_clause,[],[f57]) ).
fof(f60,plain,
spl16_4,
inference(avatar_split_clause,[],[f11,f57]) ).
fof(f62,definition,
( spl16_5
<=> select(a1,i1) = sF2 ),
introduced(definition,[new_symbols(definition,[spl16_5])],[avatar_definition]) ).
fof(f64,plain,
( select(a1,i1) = sF2
| ~ spl16_5 ),
inference(avatar_component_clause,[],[f62]) ).
fof(f65,plain,
spl16_5,
inference(avatar_split_clause,[],[f13,f62]) ).
fof(f67,definition,
( spl16_6
<=> store(a2,i1,sF2) = sF3 ),
introduced(definition,[new_symbols(definition,[spl16_6])],[avatar_definition]) ).
fof(f69,plain,
( store(a2,i1,sF2) = sF3
| ~ spl16_6 ),
inference(avatar_component_clause,[],[f67]) ).
fof(f70,plain,
spl16_6,
inference(avatar_split_clause,[],[f15,f67]) ).
fof(f72,definition,
( spl16_7
<=> select(sF3,i2) = sF4 ),
introduced(definition,[new_symbols(definition,[spl16_7])],[avatar_definition]) ).
fof(f74,plain,
( select(sF3,i2) = sF4
| ~ spl16_7 ),
inference(avatar_component_clause,[],[f72]) ).
fof(f75,plain,
spl16_7,
inference(avatar_split_clause,[],[f17,f72]) ).
fof(f77,definition,
( spl16_8
<=> store(sF1,i2,sF4) = sF5 ),
introduced(definition,[new_symbols(definition,[spl16_8])],[avatar_definition]) ).
fof(f79,plain,
( store(sF1,i2,sF4) = sF5
| ~ spl16_8 ),
inference(avatar_component_clause,[],[f77]) ).
fof(f80,plain,
spl16_8,
inference(avatar_split_clause,[],[f19,f77]) ).
fof(f82,definition,
( spl16_9
<=> select(sF1,i2) = sF6 ),
introduced(definition,[new_symbols(definition,[spl16_9])],[avatar_definition]) ).
fof(f84,plain,
( select(sF1,i2) = sF6
| ~ spl16_9 ),
inference(avatar_component_clause,[],[f82]) ).
fof(f85,plain,
spl16_9,
inference(avatar_split_clause,[],[f21,f82]) ).
fof(f87,definition,
( spl16_10
<=> store(sF3,i2,sF6) = sF7 ),
introduced(definition,[new_symbols(definition,[spl16_10])],[avatar_definition]) ).
fof(f89,plain,
( store(sF3,i2,sF6) = sF7
| ~ spl16_10 ),
inference(avatar_component_clause,[],[f87]) ).
fof(f90,plain,
spl16_10,
inference(avatar_split_clause,[],[f23,f87]) ).
fof(f92,definition,
( spl16_11
<=> select(sF7,i3) = sF8 ),
introduced(definition,[new_symbols(definition,[spl16_11])],[avatar_definition]) ).
fof(f94,plain,
( select(sF7,i3) = sF8
| ~ spl16_11 ),
inference(avatar_component_clause,[],[f92]) ).
fof(f95,plain,
spl16_11,
inference(avatar_split_clause,[],[f25,f92]) ).
fof(f97,definition,
( spl16_12
<=> store(sF5,i3,sF8) = sF9 ),
introduced(definition,[new_symbols(definition,[spl16_12])],[avatar_definition]) ).
fof(f99,plain,
( store(sF5,i3,sF8) = sF9
| ~ spl16_12 ),
inference(avatar_component_clause,[],[f97]) ).
fof(f100,plain,
spl16_12,
inference(avatar_split_clause,[],[f27,f97]) ).
fof(f102,definition,
( spl16_13
<=> select(sF5,i3) = sF10 ),
introduced(definition,[new_symbols(definition,[spl16_13])],[avatar_definition]) ).
fof(f104,plain,
( select(sF5,i3) = sF10
| ~ spl16_13 ),
inference(avatar_component_clause,[],[f102]) ).
fof(f105,plain,
spl16_13,
inference(avatar_split_clause,[],[f29,f102]) ).
fof(f107,definition,
( spl16_14
<=> store(sF7,i3,sF10) = sF11 ),
introduced(definition,[new_symbols(definition,[spl16_14])],[avatar_definition]) ).
fof(f109,plain,
( store(sF7,i3,sF10) = sF11
| ~ spl16_14 ),
inference(avatar_component_clause,[],[f107]) ).
fof(f110,plain,
spl16_14,
inference(avatar_split_clause,[],[f31,f107]) ).
fof(f112,definition,
( spl16_15
<=> select(sF11,i4) = sF12 ),
introduced(definition,[new_symbols(definition,[spl16_15])],[avatar_definition]) ).
fof(f114,plain,
( select(sF11,i4) = sF12
| ~ spl16_15 ),
inference(avatar_component_clause,[],[f112]) ).
fof(f115,plain,
spl16_15,
inference(avatar_split_clause,[],[f33,f112]) ).
fof(f117,definition,
( spl16_16
<=> store(sF9,i4,sF12) = sF13 ),
introduced(definition,[new_symbols(definition,[spl16_16])],[avatar_definition]) ).
fof(f119,plain,
( store(sF9,i4,sF12) = sF13
| ~ spl16_16 ),
inference(avatar_component_clause,[],[f117]) ).
fof(f120,plain,
spl16_16,
inference(avatar_split_clause,[],[f35,f117]) ).
fof(f122,definition,
( spl16_17
<=> select(sF9,i4) = sF14 ),
introduced(definition,[new_symbols(definition,[spl16_17])],[avatar_definition]) ).
fof(f124,plain,
( select(sF9,i4) = sF14
| ~ spl16_17 ),
inference(avatar_component_clause,[],[f122]) ).
fof(f125,plain,
spl16_17,
inference(avatar_split_clause,[],[f37,f122]) ).
fof(f127,definition,
( spl16_18
<=> store(sF11,i4,sF14) = sF15 ),
introduced(definition,[new_symbols(definition,[spl16_18])],[avatar_definition]) ).
fof(f129,plain,
( store(sF11,i4,sF14) = sF15
| ~ spl16_18 ),
inference(avatar_component_clause,[],[f127]) ).
fof(f130,plain,
spl16_18,
inference(avatar_split_clause,[],[f39,f127]) ).
fof(f131,plain,
( sF13 = store(sF11,i4,sF14)
| ~ spl16_2
| ~ spl16_18 ),
inference(forward_demodulation,[],[f129,f49]) ).
fof(f133,definition,
( spl16_19
<=> sF13 = store(sF11,i4,sF14) ),
introduced(definition,[new_symbols(definition,[spl16_19])],[avatar_definition]) ).
fof(f135,plain,
( sF13 = store(sF11,i4,sF14)
| ~ spl16_19 ),
inference(avatar_component_clause,[],[f133]) ).
fof(f136,plain,
( spl16_19
| ~ spl16_2
| ~ spl16_18 ),
inference(avatar_split_clause,[],[f131,f127,f47,f133]) ).
fof(f137,plain,
( sF0 = select(sF1,i1)
| ~ spl16_4 ),
inference(superposition,[],[f1,f59]) ).
fof(f138,plain,
( sF2 = select(sF3,i1)
| ~ spl16_6 ),
inference(superposition,[],[f1,f69]) ).
fof(f139,plain,
( sF4 = select(sF5,i2)
| ~ spl16_8 ),
inference(superposition,[],[f1,f79]) ).
fof(f140,plain,
( sF6 = select(sF7,i2)
| ~ spl16_10 ),
inference(superposition,[],[f1,f89]) ).
fof(f141,plain,
( sF8 = select(sF9,i3)
| ~ spl16_12 ),
inference(superposition,[],[f1,f99]) ).
fof(f142,plain,
( sF10 = select(sF11,i3)
| ~ spl16_14 ),
inference(superposition,[],[f1,f109]) ).
fof(f143,plain,
( sF12 = select(sF13,i4)
| ~ spl16_16 ),
inference(superposition,[],[f1,f119]) ).
fof(f144,plain,
( sF14 = select(sF13,i4)
| ~ spl16_19 ),
inference(superposition,[],[f1,f135]) ).
fof(f146,definition,
( spl16_20
<=> sF14 = select(sF13,i4) ),
introduced(definition,[new_symbols(definition,[spl16_20])],[avatar_definition]) ).
fof(f149,plain,
( spl16_20
| ~ spl16_19 ),
inference(avatar_split_clause,[],[f144,f133,f146]) ).
fof(f151,definition,
( spl16_21
<=> sF12 = select(sF13,i4) ),
introduced(definition,[new_symbols(definition,[spl16_21])],[avatar_definition]) ).
fof(f154,plain,
( spl16_21
| ~ spl16_16 ),
inference(avatar_split_clause,[],[f143,f117,f151]) ).
fof(f156,definition,
( spl16_22
<=> sF10 = select(sF11,i3) ),
introduced(definition,[new_symbols(definition,[spl16_22])],[avatar_definition]) ).
fof(f159,plain,
( spl16_22
| ~ spl16_14 ),
inference(avatar_split_clause,[],[f142,f107,f156]) ).
fof(f161,definition,
( spl16_23
<=> sF8 = select(sF9,i3) ),
introduced(definition,[new_symbols(definition,[spl16_23])],[avatar_definition]) ).
fof(f164,plain,
( spl16_23
| ~ spl16_12 ),
inference(avatar_split_clause,[],[f141,f97,f161]) ).
fof(f166,definition,
( spl16_24
<=> sF6 = select(sF7,i2) ),
introduced(definition,[new_symbols(definition,[spl16_24])],[avatar_definition]) ).
fof(f169,plain,
( spl16_24
| ~ spl16_10 ),
inference(avatar_split_clause,[],[f140,f87,f166]) ).
fof(f171,definition,
( spl16_25
<=> sF4 = select(sF5,i2) ),
introduced(definition,[new_symbols(definition,[spl16_25])],[avatar_definition]) ).
fof(f174,plain,
( spl16_25
| ~ spl16_8 ),
inference(avatar_split_clause,[],[f139,f77,f171]) ).
fof(f176,definition,
( spl16_26
<=> sF2 = select(sF3,i1) ),
introduced(definition,[new_symbols(definition,[spl16_26])],[avatar_definition]) ).
fof(f179,plain,
( spl16_26
| ~ spl16_6 ),
inference(avatar_split_clause,[],[f138,f67,f176]) ).
fof(f181,definition,
( spl16_27
<=> sF0 = select(sF1,i1) ),
introduced(definition,[new_symbols(definition,[spl16_27])],[avatar_definition]) ).
fof(f184,plain,
( spl16_27
| ~ spl16_4 ),
inference(avatar_split_clause,[],[f137,f57,f181]) ).
fof(f186,plain,
( a2 = store(a2,i1,sF0)
| ~ spl16_3 ),
inference(superposition,[],[f3,f54]) ).
fof(f187,plain,
( a1 = store(a1,i1,sF2)
| ~ spl16_5 ),
inference(superposition,[],[f3,f64]) ).
fof(f188,plain,
( sF3 = store(sF3,i2,sF4)
| ~ spl16_7 ),
inference(superposition,[],[f3,f74]) ).
fof(f189,plain,
( sF1 = store(sF1,i2,sF6)
| ~ spl16_9 ),
inference(superposition,[],[f3,f84]) ).
fof(f190,plain,
( sF7 = store(sF7,i3,sF8)
| ~ spl16_11 ),
inference(superposition,[],[f3,f94]) ).
fof(f191,plain,
( sF5 = store(sF5,i3,sF10)
| ~ spl16_13 ),
inference(superposition,[],[f3,f104]) ).
fof(f192,plain,
( sF11 = store(sF11,i4,sF12)
| ~ spl16_15 ),
inference(superposition,[],[f3,f114]) ).
fof(f193,plain,
( sF9 = store(sF9,i4,sF14)
| ~ spl16_17 ),
inference(superposition,[],[f3,f124]) ).
fof(f195,definition,
( spl16_28
<=> sF9 = store(sF9,i4,sF14) ),
introduced(definition,[new_symbols(definition,[spl16_28])],[avatar_definition]) ).
fof(f198,plain,
( spl16_28
| ~ spl16_17 ),
inference(avatar_split_clause,[],[f193,f122,f195]) ).
fof(f200,definition,
( spl16_29
<=> sF11 = store(sF11,i4,sF12) ),
introduced(definition,[new_symbols(definition,[spl16_29])],[avatar_definition]) ).
fof(f203,plain,
( spl16_29
| ~ spl16_15 ),
inference(avatar_split_clause,[],[f192,f112,f200]) ).
fof(f205,definition,
( spl16_30
<=> sF5 = store(sF5,i3,sF10) ),
introduced(definition,[new_symbols(definition,[spl16_30])],[avatar_definition]) ).
fof(f208,plain,
( spl16_30
| ~ spl16_13 ),
inference(avatar_split_clause,[],[f191,f102,f205]) ).
fof(f210,definition,
( spl16_31
<=> sF7 = store(sF7,i3,sF8) ),
introduced(definition,[new_symbols(definition,[spl16_31])],[avatar_definition]) ).
fof(f213,plain,
( spl16_31
| ~ spl16_11 ),
inference(avatar_split_clause,[],[f190,f92,f210]) ).
fof(f215,definition,
( spl16_32
<=> sF1 = store(sF1,i2,sF6) ),
introduced(definition,[new_symbols(definition,[spl16_32])],[avatar_definition]) ).
fof(f218,plain,
( spl16_32
| ~ spl16_9 ),
inference(avatar_split_clause,[],[f189,f82,f215]) ).
fof(f220,definition,
( spl16_33
<=> sF3 = store(sF3,i2,sF4) ),
introduced(definition,[new_symbols(definition,[spl16_33])],[avatar_definition]) ).
fof(f223,plain,
( spl16_33
| ~ spl16_7 ),
inference(avatar_split_clause,[],[f188,f72,f220]) ).
fof(f225,definition,
( spl16_34
<=> a1 = store(a1,i1,sF2) ),
introduced(definition,[new_symbols(definition,[spl16_34])],[avatar_definition]) ).
fof(f228,plain,
( spl16_34
| ~ spl16_5 ),
inference(avatar_split_clause,[],[f187,f62,f225]) ).
fof(f230,definition,
( spl16_35
<=> a2 = store(a2,i1,sF0) ),
introduced(definition,[new_symbols(definition,[spl16_35])],[avatar_definition]) ).
fof(f233,plain,
( spl16_35
| ~ spl16_3 ),
inference(avatar_split_clause,[],[f186,f52,f230]) ).
fof(f234,plain,
( sF12 != select(sF13,i4)
| sF14 != select(sF13,i4)
| sF8 != select(sF9,i3)
| sF10 != select(sF11,i3)
| sF4 != select(sF5,i2)
| sF6 != select(sF7,i2)
| sF0 != select(sF1,i1)
| sF2 != select(sF3,i1)
| a1 != store(a1,i1,sF2)
| a2 != store(a2,i1,sF0)
| store(a1,i1,sF0) != sF1
| sF1 != store(sF1,i2,sF6)
| store(a2,i1,sF2) != sF3
| sF3 != store(sF3,i2,sF4)
| store(sF1,i2,sF4) != sF5
| sF5 != store(sF5,i3,sF10)
| store(sF3,i2,sF6) != sF7
| sF7 != store(sF7,i3,sF8)
| store(sF5,i3,sF8) != sF9
| sF9 != store(sF9,i4,sF14)
| store(sF7,i3,sF10) != sF11
| sF11 != store(sF11,i4,sF12)
| store(sF9,i4,sF12) != sF13
| sF13 != sF15
| store(sF11,i4,sF14) != sF15
| a1 = a2 ),
introduced(definition,[],[theory_tautology_sat_conflict]) ).
cnf(s1,plain,
~ spl16_1,
inference(sat_conversion,[],[f45]) ).
cnf(s2,plain,
spl16_2,
inference(sat_conversion,[],[f50]) ).
cnf(s3,plain,
spl16_3,
inference(sat_conversion,[],[f55]) ).
cnf(s4,plain,
spl16_4,
inference(sat_conversion,[],[f60]) ).
cnf(s5,plain,
spl16_5,
inference(sat_conversion,[],[f65]) ).
cnf(s6,plain,
spl16_6,
inference(sat_conversion,[],[f70]) ).
cnf(s7,plain,
spl16_7,
inference(sat_conversion,[],[f75]) ).
cnf(s8,plain,
spl16_8,
inference(sat_conversion,[],[f80]) ).
cnf(s9,plain,
spl16_9,
inference(sat_conversion,[],[f85]) ).
cnf(s10,plain,
spl16_10,
inference(sat_conversion,[],[f90]) ).
cnf(s11,plain,
spl16_11,
inference(sat_conversion,[],[f95]) ).
cnf(s12,plain,
spl16_12,
inference(sat_conversion,[],[f100]) ).
cnf(s13,plain,
spl16_13,
inference(sat_conversion,[],[f105]) ).
cnf(s14,plain,
spl16_14,
inference(sat_conversion,[],[f110]) ).
cnf(s15,plain,
spl16_15,
inference(sat_conversion,[],[f115]) ).
cnf(s16,plain,
spl16_16,
inference(sat_conversion,[],[f120]) ).
cnf(s17,plain,
spl16_17,
inference(sat_conversion,[],[f125]) ).
cnf(s18,plain,
spl16_18,
inference(sat_conversion,[],[f130]) ).
cnf(s19,plain,
( ~ spl16_2
| ~ spl16_18
| spl16_19 ),
inference(sat_conversion,[],[f136]) ).
cnf(s20,plain,
( ~ spl16_19
| spl16_20 ),
inference(sat_conversion,[],[f149]) ).
cnf(s21,plain,
( ~ spl16_16
| spl16_21 ),
inference(sat_conversion,[],[f154]) ).
cnf(s22,plain,
( ~ spl16_14
| spl16_22 ),
inference(sat_conversion,[],[f159]) ).
cnf(s23,plain,
( ~ spl16_12
| spl16_23 ),
inference(sat_conversion,[],[f164]) ).
cnf(s24,plain,
( ~ spl16_10
| spl16_24 ),
inference(sat_conversion,[],[f169]) ).
cnf(s25,plain,
( ~ spl16_8
| spl16_25 ),
inference(sat_conversion,[],[f174]) ).
cnf(s26,plain,
( ~ spl16_6
| spl16_26 ),
inference(sat_conversion,[],[f179]) ).
cnf(s27,plain,
( ~ spl16_4
| spl16_27 ),
inference(sat_conversion,[],[f184]) ).
cnf(s28,plain,
( ~ spl16_17
| spl16_28 ),
inference(sat_conversion,[],[f198]) ).
cnf(s29,plain,
( ~ spl16_15
| spl16_29 ),
inference(sat_conversion,[],[f203]) ).
cnf(s30,plain,
( ~ spl16_13
| spl16_30 ),
inference(sat_conversion,[],[f208]) ).
cnf(s31,plain,
( ~ spl16_11
| spl16_31 ),
inference(sat_conversion,[],[f213]) ).
cnf(s32,plain,
( ~ spl16_9
| spl16_32 ),
inference(sat_conversion,[],[f218]) ).
cnf(s33,plain,
( ~ spl16_7
| spl16_33 ),
inference(sat_conversion,[],[f223]) ).
cnf(s34,plain,
( ~ spl16_5
| spl16_34 ),
inference(sat_conversion,[],[f228]) ).
cnf(s35,plain,
( ~ spl16_3
| spl16_35 ),
inference(sat_conversion,[],[f233]) ).
cnf(s36,plain,
( spl16_1
| ~ spl16_2
| ~ spl16_4
| ~ spl16_6
| ~ spl16_8
| ~ spl16_10
| ~ spl16_12
| ~ spl16_14
| ~ spl16_16
| ~ spl16_18
| ~ spl16_20
| ~ spl16_21
| ~ spl16_22
| ~ spl16_23
| ~ spl16_24
| ~ spl16_25
| ~ spl16_26
| ~ spl16_27
| ~ spl16_28
| ~ spl16_29
| ~ spl16_30
| ~ spl16_31
| ~ spl16_32
| ~ spl16_33
| ~ spl16_34
| ~ spl16_35 ),
inference(sat_conversion,[],[f234]) ).
cnf(s37,plain,
spl16_28,
inference(rat,[],[s28,s17]) ).
cnf(s38,plain,
spl16_21,
inference(rat,[],[s21,s16]) ).
cnf(s39,plain,
spl16_29,
inference(rat,[],[s29,s15]) ).
cnf(s40,plain,
spl16_22,
inference(rat,[],[s22,s14]) ).
cnf(s41,plain,
spl16_30,
inference(rat,[],[s30,s13]) ).
cnf(s42,plain,
spl16_23,
inference(rat,[],[s23,s12]) ).
cnf(s43,plain,
spl16_31,
inference(rat,[],[s31,s11]) ).
cnf(s44,plain,
spl16_24,
inference(rat,[],[s24,s10]) ).
cnf(s45,plain,
spl16_32,
inference(rat,[],[s32,s9]) ).
cnf(s46,plain,
spl16_25,
inference(rat,[],[s25,s8]) ).
cnf(s47,plain,
spl16_33,
inference(rat,[],[s33,s7]) ).
cnf(s48,plain,
spl16_26,
inference(rat,[],[s26,s6]) ).
cnf(s49,plain,
spl16_34,
inference(rat,[],[s34,s5]) ).
cnf(s50,plain,
spl16_27,
inference(rat,[],[s27,s4]) ).
cnf(s51,plain,
spl16_35,
inference(rat,[],[s35,s3]) ).
cnf(s52,plain,
spl16_19,
inference(rat,[],[s19,s18,s2]) ).
cnf(s53,plain,
spl16_20,
inference(rat,[],[s20,s52]) ).
cnf(s54,plain,
spl16_1,
inference(rat,[],[s36,s51,s49,s47,s45,s43,s41,s39,s37,s50,s48,s46,s44,s42,s40,s38,s2,s18,s16,s14,s12,s10,s8,s6,s4,s53]) ).
cnf(s55,plain,
$false,
inference(rat,[],[s1,s54]) ).
fof(f235,plain,
$false,
inference(avatar_sat_refutation,[],[s55]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV557-1.004 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n007.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 11:43:55 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running first-order theorem proving
% 0.08/0.22 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.90/1.43 % (2339421)Input is clausal, will run a generic CNF schedule.
% 4.90/1.43 % (2339430)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2483668905:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 4.90/1.43 % (2339430)Instruction limit reached!
% 4.90/1.43 % (2339430)------------------------------
% 4.90/1.43 % (2339430)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.90/1.43 % (2339430)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.90/1.43 % (2339430)CaDiCaL version: 2.1.3
% 4.90/1.43 % (2339430)Termination reason: Instruction limit
% 4.90/1.43 % (2339430)Termination phase: Saturation
% 4.90/1.43 % (2339430)Time elapsed: 0.032 s
% 4.90/1.43 % (2339430)Peak memory usage: 88 MB
% 4.90/1.43 % (2339430)Instructions burned: 116 (million)
% 4.90/1.43 % (2339431)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3664529507:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 4.90/1.43 % (2339427)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=825758883:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 4.90/1.43 % (2339428)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1944190061:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 4.90/1.43 % (2339432)dis-21_1_sil=8000:lcm=predicate:random_seed=1397877539:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 4.90/1.43 % (2339429)lrs+10_1_sil=8000:sp=occurrence:random_seed=1686026220:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 4.90/1.43 % (2339426)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2519321675:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 4.90/1.43 % (2339432)Refutation not found, incomplete strategy
% 4.90/1.43 % (2339432)------------------------------
% 4.90/1.43 % (2339432)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.90/1.43 % (2339432)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.90/1.43 % (2339432)CaDiCaL version: 2.1.3
% 4.90/1.43 % (2339432)Termination reason: Refutation not found, incomplete strategy
% 4.90/1.43 % (2339432)Time elapsed: 0.001 s
% 4.90/1.43 % (2339432)Peak memory usage: 88 MB
% 4.90/1.43 % (2339432)Instructions burned: 1 (million)
% 4.90/1.43 % (2339429)Instruction limit reached!
% 4.90/1.43 % (2339429)------------------------------
% 4.90/1.43 % (2339429)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.90/1.43 % (2339429)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.90/1.43 % (2339429)CaDiCaL version: 2.1.3
% 4.90/1.43 % (2339429)Termination reason: Instruction limit
% 4.90/1.43 % (2339429)Termination phase: Saturation
% 4.90/1.43 % (2339429)Time elapsed: 0.056 s
% 4.90/1.43 % (2339429)Peak memory usage: 89 MB
% 4.90/1.43 % (2339429)Instructions burned: 107 (million)
% 4.90/1.43 % (2339431)Instruction limit reached!
% 4.90/1.43 % (2339431)------------------------------
% 4.90/1.43 % (2339431)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.90/1.43 % (2339431)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.90/1.43 % (2339431)CaDiCaL version: 2.1.3
% 4.90/1.43 % (2339431)Termination reason: Instruction limit
% 4.90/1.43 % (2339431)Termination phase: Saturation
% 4.90/1.43 % (2339431)Time elapsed: 0.095 s
% 4.90/1.43 % (2339431)Peak memory usage: 89 MB
% 4.90/1.43 % (2339431)Instructions burned: 181 (million)
% 4.90/1.43 % (2339434)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=857493255:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 4.90/1.43 % (2339434)Instruction limit reached!
% 4.90/1.43 % (2339434)------------------------------
% 4.90/1.43 % (2339434)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.90/1.43 % (2339434)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.90/1.43 % (2339434)CaDiCaL version: 2.1.3
% 4.90/1.43 % (2339434)Termination reason: Instruction limit
% 4.90/1.43 % (2339434)Termination phase: Saturation
% 4.90/1.43 % (2339434)Time elapsed: 0.042 s
% 4.90/1.43 % (2339434)Peak memory usage: 89 MB
% 4.90/1.43 % (2339434)Instructions burned: 143 (million)
% 4.90/1.43 % (2339441)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3732404336:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 4.90/1.43 % (2339432)------------------------------
% 4.90/1.43 % (2339432)------------------------------
% 4.90/1.43 % (2339442)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=330428637:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 4.90/1.43 % (2339444)lrs+10_64_to=lpo:sil=8000:random_seed=2596821141:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 4.90/1.43 % (2339444)Instruction limit reached!
% 4.90/1.43 % (2339444)------------------------------
% 4.90/1.43 % (2339444)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.90/1.43 % (2339444)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.90/1.43 % (2339444)CaDiCaL version: 2.1.3
% 4.90/1.43 % (2339444)Termination reason: Instruction limit
% 4.90/1.43 % (2339444)Termination phase: Saturation
% 4.90/1.43 % (2339444)Time elapsed: 0.037 s
% 4.90/1.43 % (2339444)Peak memory usage: 88 MB
% 4.90/1.43 % (2339444)Instructions burned: 126 (million)
% 4.90/1.43 % (2339441)Instruction limit reached!
% 4.90/1.43 % (2339441)------------------------------
% 4.90/1.43 % (2339441)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.90/1.43 % (2339441)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.90/1.43 % (2339441)CaDiCaL version: 2.1.3
% 4.90/1.43 % (2339441)Termination reason: Instruction limit
% 4.90/1.43 % (2339441)Termination phase: Saturation
% 4.90/1.43 % (2339441)Time elapsed: 0.113 s
% 4.90/1.43 % (2339441)Peak memory usage: 89 MB
% 4.90/1.43 % (2339441)Instructions burned: 190 (million)
% 4.90/1.43 % (2339442)Instruction limit reached!
% 4.90/1.43 % (2339442)------------------------------
% 4.90/1.43 % (2339442)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.90/1.43 % (2339442)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.90/1.43 % (2339442)CaDiCaL version: 2.1.3
% 4.90/1.43 % (2339442)Termination reason: Instruction limit
% 4.90/1.43 % (2339442)Termination phase: Saturation
% 4.90/1.43 % (2339442)Time elapsed: 0.102 s
% 4.90/1.43 % (2339442)Peak memory usage: 89 MB
% 4.90/1.43 % (2339442)Instructions burned: 220 (million)
% 4.90/1.43 % (2339447)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=309518953:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 4.90/1.43 % (2339449)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3548705746:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 4.90/1.43 % (2339449)First to succeed.
% 4.90/1.43 % (2339449)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2339421"
% 4.90/1.43 % (2339450)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2058758293:i=3394:sd=4:ss=included:sgt=64_2995 on theBenchmark for (2995ds/3394Mi)
% 4.90/1.43 % (2339447)Instruction limit reached!
% 4.90/1.43 % (2339447)------------------------------
% 4.90/1.43 % (2339447)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.90/1.43 % (2339447)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.90/1.43 % (2339447)CaDiCaL version: 2.1.3
% 4.90/1.43 % (2339447)Termination reason: Instruction limit
% 4.90/1.43 % (2339447)Termination phase: Saturation
% 4.90/1.43 % (2339447)Time elapsed: 0.102 s
% 4.90/1.43 % (2339447)Peak memory usage: 89 MB
% 4.90/1.43 % (2339447)Instructions burned: 195 (million)
% 4.90/1.43 % (2339451)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=1078952352:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 4.90/1.43 % (2339449)Refutation found. Thanks to Tanya!
% 4.90/1.43 % SZS status Unsatisfiable for theBenchmark
% 4.90/1.43 % SZS output start Proof for theBenchmark
% See solution above
% 5.90/1.53 % (2339449)------------------------------
% 5.90/1.53 % (2339449)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.90/1.53 % (2339449)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.90/1.53 % (2339449)CaDiCaL version: 2.1.3
% 5.90/1.53 % (2339449)Termination reason: Refutation
% 5.90/1.53 % (2339449)Time elapsed: 0.003 s
% 5.90/1.53 % (2339449)Peak memory usage: 89 MB
% 5.90/1.53 % (2339449)Instructions burned: 8 (million)
% 5.90/1.53 % (2339449)------------------------------
% 5.90/1.53 % (2339449)------------------------------
% 5.90/1.53 % (2339421)Success in time 0.757 s
% 5.90/1.53 % Vampire exiting
%------------------------------------------------------------------------------