%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN037-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n001.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 01:49:03 PM UTC 2026
% Result : Unsatisfiable 2.94s 1.12s
% Output : Refutation 3.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 59
% Syntax : Number of formulae : 210 ( 18 unt; 24 def)
% Number of atoms : 510 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 548 ( 248 ~; 276 |; 0 &)
% ( 24 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 37 ( 36 usr; 33 prp; 0-1 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-1 aty)
% Number of variables : 48 ( 0 sgn 48 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
( ~ n2
| ~ n9
| ~ n6
| ~ n10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1) ).
fof(f2,negated_conjecture,
( ~ n2
| ~ n9
| n6
| n10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_2) ).
fof(f3,negated_conjecture,
( n2
| n9
| ~ n6
| ~ n10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3) ).
fof(f4,negated_conjecture,
( n2
| n9
| n6
| n10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_4) ).
fof(f5,negated_conjecture,
( ~ n2
| n9
| ~ n6
| n10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_5) ).
fof(f6,negated_conjecture,
( ~ n2
| n9
| n6
| ~ n10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_6) ).
fof(f7,negated_conjecture,
( n2
| ~ n9
| ~ n6
| n10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_7) ).
fof(f9,negated_conjecture,
( ~ q(s8)
| n8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_9) ).
fof(f10,negated_conjecture,
! [X0] :
( ~ n8
| q(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_10) ).
fof(f11,negated_conjecture,
! [X0] :
( ~ p(X0)
| n7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_11) ).
fof(f12,negated_conjecture,
( ~ n7
| p(s7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_12) ).
fof(f13,negated_conjecture,
! [X0] :
( ~ n5(X0)
| n6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_13) ).
fof(f14,negated_conjecture,
( ~ n6
| n5(s6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_14) ).
fof(f15,negated_conjecture,
! [X0] :
( ~ q(s5(X0))
| ~ q(X0)
| n5(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_15) ).
fof(f16,negated_conjecture,
! [X0] :
( q(s5(X0))
| q(X0)
| n5(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_16) ).
fof(f17,negated_conjecture,
! [X0,X1] :
( ~ n5(X0)
| ~ q(X1)
| q(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_17) ).
fof(f18,negated_conjecture,
! [X0,X1] :
( ~ n5(X0)
| q(X1)
| ~ q(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_18) ).
fof(f19,negated_conjecture,
( ~ p(s4)
| n4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_19) ).
fof(f20,negated_conjecture,
! [X0] :
( ~ n4
| p(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_20) ).
fof(f21,negated_conjecture,
! [X0] :
( ~ q(X0)
| n3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_21) ).
fof(f22,negated_conjecture,
( ~ n3
| q(s3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_22) ).
fof(f23,negated_conjecture,
! [X0] :
( ~ n1(X0)
| n2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_23) ).
fof(f24,negated_conjecture,
( ~ n2
| n1(s2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_24) ).
fof(f25,negated_conjecture,
! [X0] :
( ~ p(s1(X0))
| ~ p(X0)
| n1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_25) ).
fof(f26,negated_conjecture,
! [X0] :
( p(s1(X0))
| p(X0)
| n1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_26) ).
fof(f27,negated_conjecture,
! [X0,X1] :
( ~ n1(X0)
| ~ p(X0)
| p(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_27) ).
fof(f28,negated_conjecture,
! [X0,X1] :
( ~ n1(X0)
| p(X0)
| ~ p(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_28) ).
fof(f29,negated_conjecture,
( ~ n3
| ~ n4
| n9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_29) ).
fof(f30,negated_conjecture,
( n3
| n4
| n9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_30) ).
fof(f31,negated_conjecture,
( ~ n3
| n4
| ~ n9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_31) ).
fof(f32,negated_conjecture,
( n3
| ~ n4
| ~ n9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_32) ).
fof(f33,negated_conjecture,
( ~ n7
| ~ n8
| n10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_33) ).
fof(f34,negated_conjecture,
( n7
| n8
| n10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_34) ).
fof(f35,negated_conjecture,
( ~ n7
| n8
| ~ n10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_35) ).
fof(f36,negated_conjecture,
( n7
| ~ n8
| ~ n10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_36) ).
fof(f38,definition,
( spl0_1
<=> n10 ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f42,definition,
( spl0_2
<=> n8 ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f46,definition,
( spl0_3
<=> n7 ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f49,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_3 ),
inference(avatar_split_clause,[],[f36,f46,f42,f38]) ).
fof(f50,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f35,f46,f42,f38]) ).
fof(f51,plain,
( spl0_1
| spl0_2
| spl0_3 ),
inference(avatar_split_clause,[],[f34,f46,f42,f38]) ).
fof(f52,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f33,f46,f42,f38]) ).
fof(f54,definition,
( spl0_4
<=> n9 ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f58,definition,
( spl0_5
<=> n4 ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f62,definition,
( spl0_6
<=> n3 ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f65,plain,
( ~ spl0_4
| ~ spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f32,f62,f58,f54]) ).
fof(f66,plain,
( ~ spl0_4
| spl0_5
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f31,f62,f58,f54]) ).
fof(f67,plain,
( spl0_4
| spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f30,f62,f58,f54]) ).
fof(f68,plain,
( spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f29,f62,f58,f54]) ).
fof(f70,definition,
( spl0_7
<=> ! [X1] : ~ p(X1) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f71,plain,
( ! [X1] : ~ p(X1)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f70]) ).
fof(f73,definition,
( spl0_8
<=> ! [X0] :
( ~ n1(X0)
| p(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f74,plain,
( ! [X0] :
( ~ n1(X0)
| p(X0) )
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f73]) ).
fof(f75,plain,
( spl0_7
| spl0_8 ),
inference(avatar_split_clause,[],[f28,f73,f70]) ).
fof(f77,definition,
( spl0_9
<=> ! [X1] : p(X1) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f78,plain,
( ! [X1] : p(X1)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f77]) ).
fof(f80,definition,
( spl0_10
<=> ! [X0] :
( ~ n1(X0)
| ~ p(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f81,plain,
( ! [X0] :
( ~ n1(X0)
| ~ p(X0) )
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f80]) ).
fof(f82,plain,
( spl0_9
| spl0_10 ),
inference(avatar_split_clause,[],[f27,f80,f77]) ).
fof(f84,definition,
( spl0_11
<=> n1(s2) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f86,plain,
( n1(s2)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f84]) ).
fof(f88,definition,
( spl0_12
<=> n2 ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f91,plain,
( spl0_11
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f24,f88,f84]) ).
fof(f93,definition,
( spl0_13
<=> ! [X0] : ~ n1(X0) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f94,plain,
( ! [X0] : ~ n1(X0)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f93]) ).
fof(f95,plain,
( spl0_12
| spl0_13 ),
inference(avatar_split_clause,[],[f23,f93,f88]) ).
fof(f97,definition,
( spl0_14
<=> q(s3) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f99,plain,
( q(s3)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f97]) ).
fof(f100,plain,
( spl0_14
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f22,f62,f97]) ).
fof(f102,definition,
( spl0_15
<=> ! [X0] : ~ q(X0) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f103,plain,
( ! [X0] : ~ q(X0)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f102]) ).
fof(f104,plain,
( spl0_6
| spl0_15 ),
inference(avatar_split_clause,[],[f21,f102,f62]) ).
fof(f105,plain,
( spl0_9
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f20,f58,f77]) ).
fof(f107,definition,
( spl0_16
<=> p(s4) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f109,plain,
( ~ p(s4)
| spl0_16 ),
inference(avatar_component_clause,[],[f107]) ).
fof(f110,plain,
( spl0_5
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f19,f107,f58]) ).
fof(f112,definition,
( spl0_17
<=> ! [X1] : q(X1) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f113,plain,
( ! [X1] : q(X1)
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f112]) ).
fof(f115,definition,
( spl0_18
<=> ! [X0] :
( ~ n5(X0)
| ~ q(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f116,plain,
( ! [X0] :
( ~ n5(X0)
| ~ q(X0) )
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f115]) ).
fof(f117,plain,
( spl0_17
| spl0_18 ),
inference(avatar_split_clause,[],[f18,f115,f112]) ).
fof(f119,definition,
( spl0_19
<=> ! [X0] :
( ~ n5(X0)
| q(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f120,plain,
( ! [X0] :
( ~ n5(X0)
| q(X0) )
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f119]) ).
fof(f121,plain,
( spl0_15
| spl0_19 ),
inference(avatar_split_clause,[],[f17,f119,f102]) ).
fof(f123,definition,
( spl0_20
<=> n5(s6) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f125,plain,
( n5(s6)
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f123]) ).
fof(f127,definition,
( spl0_21
<=> n6 ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f130,plain,
( spl0_20
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f14,f127,f123]) ).
fof(f132,definition,
( spl0_22
<=> ! [X0] : ~ n5(X0) ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
fof(f133,plain,
( ! [X0] : ~ n5(X0)
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f132]) ).
fof(f134,plain,
( spl0_21
| spl0_22 ),
inference(avatar_split_clause,[],[f13,f132,f127]) ).
fof(f136,definition,
( spl0_23
<=> p(s7) ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
fof(f138,plain,
( p(s7)
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f136]) ).
fof(f139,plain,
( spl0_23
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f12,f46,f136]) ).
fof(f140,plain,
( spl0_3
| spl0_7 ),
inference(avatar_split_clause,[],[f11,f70,f46]) ).
fof(f141,plain,
( spl0_17
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f10,f42,f112]) ).
fof(f143,definition,
( spl0_24
<=> q(s8) ),
introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).
fof(f145,plain,
( ~ q(s8)
| spl0_24 ),
inference(avatar_component_clause,[],[f143]) ).
fof(f146,plain,
( spl0_2
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f9,f143,f42]) ).
fof(f148,plain,
( spl0_1
| ~ spl0_21
| ~ spl0_4
| spl0_12 ),
inference(avatar_split_clause,[],[f7,f88,f54,f127,f38]) ).
fof(f149,plain,
( ~ spl0_1
| spl0_21
| spl0_4
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f6,f88,f54,f127,f38]) ).
fof(f150,plain,
( spl0_1
| ~ spl0_21
| spl0_4
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f5,f88,f54,f127,f38]) ).
fof(f151,plain,
( spl0_1
| spl0_21
| spl0_4
| spl0_12 ),
inference(avatar_split_clause,[],[f4,f88,f54,f127,f38]) ).
fof(f152,plain,
( ~ spl0_1
| ~ spl0_21
| spl0_4
| spl0_12 ),
inference(avatar_split_clause,[],[f3,f88,f54,f127,f38]) ).
fof(f153,plain,
( spl0_1
| spl0_21
| ~ spl0_4
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f2,f88,f54,f127,f38]) ).
fof(f154,plain,
( ~ spl0_1
| ~ spl0_21
| ~ spl0_4
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f1,f88,f54,f127,f38]) ).
fof(f155,plain,
( $false
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f78,f71]) ).
fof(f156,plain,
( ~ spl0_7
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f155]) ).
fof(f157,plain,
( $false
| ~ spl0_15
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f113,f103]) ).
fof(f158,plain,
( ~ spl0_15
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f157]) ).
fof(f159,plain,
( $false
| ~ spl0_11
| ~ spl0_13 ),
inference(resolution,[],[f94,f86]) ).
fof(f160,plain,
( ~ spl0_11
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f159]) ).
fof(f161,plain,
( $false
| ~ spl0_20
| ~ spl0_22 ),
inference(resolution,[],[f133,f125]) ).
fof(f162,plain,
( ~ spl0_20
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f161]) ).
fof(f163,plain,
( ! [X0] :
( ~ q(X0)
| n5(X0) )
| ~ spl0_17 ),
inference(resolution,[],[f15,f113]) ).
fof(f164,plain,
( ! [X0] : n5(X0)
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f163,f113]) ).
fof(f165,plain,
( $false
| ~ spl0_17
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f164,f133]) ).
fof(f166,plain,
( ~ spl0_17
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f165]) ).
fof(f167,plain,
( $false
| ~ spl0_7
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f138,f71]) ).
fof(f168,plain,
( ~ spl0_7
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f167]) ).
fof(f169,plain,
( ! [X0] : ~ n1(X0)
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f81,f74]) ).
fof(f170,plain,
( spl0_13
| ~ spl0_8
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f169,f80,f73,f93]) ).
fof(f176,plain,
( ! [X0] :
( p(X0)
| n1(X0) )
| ~ spl0_7 ),
inference(resolution,[],[f26,f71]) ).
fof(f181,plain,
( ! [X0] : n1(X0)
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f176,f71]) ).
fof(f182,plain,
( $false
| ~ spl0_7
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f181,f94]) ).
fof(f183,plain,
( ~ spl0_7
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f182]) ).
fof(f184,plain,
( $false
| ~ spl0_17
| spl0_24 ),
inference(forward_subsumption_resolution,[],[f145,f113]) ).
fof(f185,plain,
( ~ spl0_17
| spl0_24 ),
inference(avatar_contradiction_clause,[],[f184]) ).
fof(f186,plain,
( ! [X0] : ~ n5(X0)
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f116,f120]) ).
fof(f187,plain,
( spl0_22
| ~ spl0_18
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f186,f119,f115,f132]) ).
fof(f188,plain,
( $false
| ~ spl0_14
| ~ spl0_15 ),
inference(resolution,[],[f103,f99]) ).
fof(f189,plain,
( ! [X0] :
( q(X0)
| n5(X0) )
| ~ spl0_15 ),
inference(resolution,[],[f103,f16]) ).
fof(f190,plain,
( ~ spl0_14
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f188]) ).
fof(f191,plain,
( ! [X0] : n5(X0)
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f189,f103]) ).
fof(f192,plain,
( ! [X0] :
( ~ p(X0)
| n1(X0) )
| ~ spl0_9 ),
inference(resolution,[],[f78,f25]) ).
fof(f193,plain,
( $false
| ~ spl0_9
| spl0_16 ),
inference(resolution,[],[f78,f109]) ).
fof(f194,plain,
( ~ spl0_9
| spl0_16 ),
inference(avatar_contradiction_clause,[],[f193]) ).
fof(f195,plain,
( ! [X0] : n1(X0)
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f192,f78]) ).
fof(f198,plain,
( $false
| ~ spl0_9
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f94,f195]) ).
fof(f199,plain,
( ~ spl0_9
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f198]) ).
fof(f205,plain,
( $false
| ~ spl0_15
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f133,f191]) ).
fof(f206,plain,
( ~ spl0_15
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f205]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_3 ),
inference(sat_conversion,[],[f49]) ).
cnf(s2,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_3 ),
inference(sat_conversion,[],[f50]) ).
cnf(s3,plain,
( spl0_1
| spl0_2
| spl0_3 ),
inference(sat_conversion,[],[f51]) ).
cnf(s4,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(sat_conversion,[],[f52]) ).
cnf(s5,plain,
( ~ spl0_4
| ~ spl0_5
| spl0_6 ),
inference(sat_conversion,[],[f65]) ).
cnf(s6,plain,
( ~ spl0_4
| spl0_5
| ~ spl0_6 ),
inference(sat_conversion,[],[f66]) ).
cnf(s7,plain,
( spl0_4
| spl0_5
| spl0_6 ),
inference(sat_conversion,[],[f67]) ).
cnf(s8,plain,
( spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(sat_conversion,[],[f68]) ).
cnf(s9,plain,
( spl0_7
| spl0_8 ),
inference(sat_conversion,[],[f75]) ).
cnf(s10,plain,
( spl0_9
| spl0_10 ),
inference(sat_conversion,[],[f82]) ).
cnf(s11,plain,
( spl0_11
| ~ spl0_12 ),
inference(sat_conversion,[],[f91]) ).
cnf(s12,plain,
( spl0_12
| spl0_13 ),
inference(sat_conversion,[],[f95]) ).
cnf(s13,plain,
( ~ spl0_6
| spl0_14 ),
inference(sat_conversion,[],[f100]) ).
cnf(s14,plain,
( spl0_6
| spl0_15 ),
inference(sat_conversion,[],[f104]) ).
cnf(s15,plain,
( ~ spl0_5
| spl0_9 ),
inference(sat_conversion,[],[f105]) ).
cnf(s16,plain,
( spl0_5
| ~ spl0_16 ),
inference(sat_conversion,[],[f110]) ).
cnf(s17,plain,
( spl0_17
| spl0_18 ),
inference(sat_conversion,[],[f117]) ).
cnf(s18,plain,
( spl0_15
| spl0_19 ),
inference(sat_conversion,[],[f121]) ).
cnf(s19,plain,
( spl0_20
| ~ spl0_21 ),
inference(sat_conversion,[],[f130]) ).
cnf(s20,plain,
( spl0_21
| spl0_22 ),
inference(sat_conversion,[],[f134]) ).
cnf(s21,plain,
( ~ spl0_3
| spl0_23 ),
inference(sat_conversion,[],[f139]) ).
cnf(s22,plain,
( spl0_3
| spl0_7 ),
inference(sat_conversion,[],[f140]) ).
cnf(s23,plain,
( ~ spl0_2
| spl0_17 ),
inference(sat_conversion,[],[f141]) ).
cnf(s24,plain,
( spl0_2
| ~ spl0_24 ),
inference(sat_conversion,[],[f146]) ).
cnf(s26,plain,
( spl0_1
| ~ spl0_4
| spl0_12
| ~ spl0_21 ),
inference(sat_conversion,[],[f148]) ).
cnf(s27,plain,
( ~ spl0_1
| spl0_4
| ~ spl0_12
| spl0_21 ),
inference(sat_conversion,[],[f149]) ).
cnf(s28,plain,
( spl0_1
| spl0_4
| ~ spl0_12
| ~ spl0_21 ),
inference(sat_conversion,[],[f150]) ).
cnf(s29,plain,
( spl0_1
| spl0_4
| spl0_12
| spl0_21 ),
inference(sat_conversion,[],[f151]) ).
cnf(s30,plain,
( ~ spl0_1
| spl0_4
| spl0_12
| ~ spl0_21 ),
inference(sat_conversion,[],[f152]) ).
cnf(s31,plain,
( spl0_1
| ~ spl0_4
| ~ spl0_12
| spl0_21 ),
inference(sat_conversion,[],[f153]) ).
cnf(s32,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_12
| ~ spl0_21 ),
inference(sat_conversion,[],[f154]) ).
cnf(s33,plain,
( ~ spl0_7
| ~ spl0_9 ),
inference(sat_conversion,[],[f156]) ).
cnf(s34,plain,
( ~ spl0_15
| ~ spl0_17 ),
inference(sat_conversion,[],[f158]) ).
cnf(s35,plain,
( ~ spl0_11
| ~ spl0_13 ),
inference(sat_conversion,[],[f160]) ).
cnf(s36,plain,
( ~ spl0_20
| ~ spl0_22 ),
inference(sat_conversion,[],[f162]) ).
cnf(s37,plain,
( ~ spl0_17
| ~ spl0_22 ),
inference(sat_conversion,[],[f166]) ).
cnf(s38,plain,
( ~ spl0_7
| ~ spl0_23 ),
inference(sat_conversion,[],[f168]) ).
cnf(s39,plain,
( ~ spl0_8
| ~ spl0_10
| spl0_13 ),
inference(sat_conversion,[],[f170]) ).
cnf(s41,plain,
( ~ spl0_7
| ~ spl0_13 ),
inference(sat_conversion,[],[f183]) ).
cnf(s42,plain,
( ~ spl0_17
| spl0_24 ),
inference(sat_conversion,[],[f185]) ).
cnf(s43,plain,
( ~ spl0_18
| ~ spl0_19
| spl0_22 ),
inference(sat_conversion,[],[f187]) ).
cnf(s44,plain,
( ~ spl0_14
| ~ spl0_15 ),
inference(sat_conversion,[],[f190]) ).
cnf(s45,plain,
( ~ spl0_9
| spl0_16 ),
inference(sat_conversion,[],[f194]) ).
cnf(s47,plain,
( ~ spl0_9
| ~ spl0_13 ),
inference(sat_conversion,[],[f199]) ).
cnf(s51,plain,
( ~ spl0_15
| ~ spl0_22 ),
inference(sat_conversion,[],[f206]) ).
cnf(s53,plain,
( spl0_5
| spl0_4
| spl0_2
| spl0_1 ),
inference(rat,[],[s19,s29,s36,s11,s43,s35,s18,s39,s44,s10,s13,s45,s7,s16,s17,s42,s24,s9,s38,s21,s3]) ).
cnf(s54,plain,
( spl0_4
| spl0_2
| spl0_1 ),
inference(rat,[],[s20,s28,s51,s12,s14,s47,s8,s15,s53]) ).
cnf(s55,plain,
( spl0_5
| spl0_2
| spl0_1 ),
inference(rat,[],[s11,s26,s35,s20,s39,s51,s10,s14,s45,s6,s16,s9,s38,s21,s3,s54]) ).
cnf(s56,plain,
( spl0_2
| spl0_1 ),
inference(rat,[],[s36,s43,s19,s18,s31,s44,s12,s13,s47,s5,s15,s55,s54,s17,s42,s24]) ).
cnf(s57,plain,
spl0_1,
inference(rat,[],[s6,s28,s15,s12,s33,s41,s14,s20,s22,s34,s37,s4,s23,s56]) ).
cnf(s58,plain,
( spl0_4
| spl0_2 ),
inference(rat,[],[s18,s43,s44,s36,s13,s19,s7,s27,s17,s42,s24,s12,s41,s15,s33,s22,s2,s57]) ).
cnf(s59,plain,
spl0_2,
inference(rat,[],[s51,s14,s20,s6,s32,s58,s15,s12,s33,s41,s22,s2,s57]) ).
cnf(s60,plain,
spl0_17,
inference(rat,[],[s23,s59]) ).
cnf(s61,plain,
spl0_3,
inference(rat,[],[s1,s57,s59]) ).
cnf(s63,plain,
~ spl0_22,
inference(rat,[],[s37,s60]) ).
cnf(s64,plain,
~ spl0_15,
inference(rat,[],[s34,s60]) ).
cnf(s65,plain,
spl0_23,
inference(rat,[],[s21,s61]) ).
cnf(s66,plain,
spl0_21,
inference(rat,[],[s20,s63]) ).
cnf(s68,plain,
spl0_6,
inference(rat,[],[s14,s64]) ).
cnf(s69,plain,
~ spl0_7,
inference(rat,[],[s38,s65]) ).
cnf(s73,plain,
spl0_8,
inference(rat,[],[s9,s69]) ).
cnf(s74,plain,
spl0_4,
inference(rat,[],[s39,s10,s35,s45,s11,s16,s30,s8,s73,s57,s66,s68]) ).
cnf(s75,plain,
~ spl0_12,
inference(rat,[],[s32,s66,s57,s74]) ).
cnf(s76,plain,
spl0_5,
inference(rat,[],[s6,s68,s74]) ).
cnf(s77,plain,
spl0_13,
inference(rat,[],[s12,s75]) ).
cnf(s78,plain,
spl0_9,
inference(rat,[],[s15,s76]) ).
cnf(s80,plain,
$false,
inference(rat,[],[s47,s77,s78]) ).
fof(f210,plain,
$false,
inference(avatar_sat_refutation,[],[s80]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN037-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.18 % Computer : n001.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Mon Sep 28 15:26:33 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.22 Running first-order theorem proving
% 0.07/0.22 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
% 2.94/1.12 % (430309)Input is clausal, will run a generic CNF schedule.
% 2.94/1.12 % (430315)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1954223340:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.94/1.12 % (430319)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2394887778:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.94/1.12 % (430316)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3476752006:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.94/1.12 % (430320)dis-21_1_sil=8000:lcm=predicate:random_seed=872581790: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)
% 2.94/1.12 % (430314)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=910496923:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.94/1.12 % (430318)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1026659760:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.94/1.12 % (430317)lrs+10_1_sil=8000:sp=occurrence:random_seed=2158963849:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.94/1.12 % (430320)Also succeeded, but the first one will report.
% 2.94/1.12 % (430319)Also succeeded, but the first one will report.
% 2.94/1.12 % (430318)Also succeeded, but the first one will report.
% 2.94/1.12 % (430317)First to succeed.
% 2.94/1.12 % (430317)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-430309"
% 2.94/1.12 % (430317)Refutation found. Thanks to Tanya!
% 2.94/1.12 % SZS status Unsatisfiable for theBenchmark
% 2.94/1.12 % SZS output start Proof for theBenchmark
% See solution above
% 3.66/1.21 % (430317)------------------------------
% 3.66/1.21 % (430317)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.66/1.21 % (430317)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.66/1.21 % (430317)CaDiCaL version: 2.1.3
% 3.66/1.21 % (430317)Termination reason: Refutation
% 3.66/1.21 % (430317)Time elapsed: 0.005 s
% 3.66/1.21 % (430317)Peak memory usage: 89 MB
% 3.66/1.21 % (430317)Instructions burned: 5 (million)
% 3.66/1.21 % (430317)------------------------------
% 3.66/1.21 % (430317)------------------------------
% 3.66/1.21 % (430309)Success in time 0.437 s
% 3.66/1.21 % Vampire exiting
%------------------------------------------------------------------------------