%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN036-3 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n002.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 02:06:29 PM UTC 2026
% Result : Unsatisfiable 0.07s 0.24s
% Output : Refutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 54
% Syntax : Number of formulae : 215 ( 12 unt; 24 def)
% Number of atoms : 520 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 558 ( 253 ~; 281 |; 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 : 65 ( 0 sgn 65 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
( ~ n2
| ~ n9
| ~ n6
| ~ n10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1) ).
fof(f4,negated_conjecture,
( n2
| n9
| n6
| n10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_4) ).
fof(f6,negated_conjecture,
( ~ n2
| n9
| n6
| ~ n10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_6) ).
fof(f7,negated_conjecture,
( n2
| ~ n9
| ~ n6
| n10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_7) ).
fof(f9,negated_conjecture,
( ~ p(s8)
| n8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_9) ).
fof(f10,negated_conjecture,
! [X0] :
( ~ n8
| p(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_10) ).
fof(f11,negated_conjecture,
! [X0] :
( ~ p(X0)
| n7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_11) ).
fof(f12,negated_conjecture,
( ~ n7
| p(s7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_12) ).
fof(f13,negated_conjecture,
! [X0] :
( ~ n5(X0)
| n6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_13) ).
fof(f14,negated_conjecture,
( ~ n6
| n5(s6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_14) ).
fof(f15,negated_conjecture,
! [X0] :
( ~ q(X0)
| ~ q(s5(X0))
| n5(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_15) ).
fof(f16,negated_conjecture,
! [X0] :
( q(X0)
| q(s5(X0))
| n5(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_16) ).
fof(f17,negated_conjecture,
! [X0,X1] :
( ~ n5(X0)
| ~ q(X0)
| q(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_17) ).
fof(f18,negated_conjecture,
! [X0,X1] :
( ~ n5(X0)
| q(X0)
| ~ q(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_18) ).
fof(f19,negated_conjecture,
( ~ q(s4)
| n4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_19) ).
fof(f20,negated_conjecture,
! [X0] :
( ~ n4
| q(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_20) ).
fof(f21,negated_conjecture,
! [X0] :
( ~ q(X0)
| n3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_21) ).
fof(f22,negated_conjecture,
( ~ n3
| q(s3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_22) ).
fof(f23,negated_conjecture,
! [X0] :
( ~ n1(X0)
| n2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_23) ).
fof(f24,negated_conjecture,
( ~ n2
| n1(s2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_24) ).
fof(f25,negated_conjecture,
! [X0] :
( ~ p(X0)
| ~ p(s1(X0))
| n1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_25) ).
fof(f26,negated_conjecture,
! [X0] :
( p(X0)
| p(s1(X0))
| n1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_26) ).
fof(f27,negated_conjecture,
! [X0,X1] :
( ~ n1(X0)
| ~ p(X0)
| p(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_27) ).
fof(f28,negated_conjecture,
! [X0,X1] :
( ~ n1(X0)
| p(X0)
| ~ p(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_28) ).
fof(f29,negated_conjecture,
( ~ n3
| ~ n4
| n9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_29) ).
fof(f30,negated_conjecture,
( n3
| n4
| n9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_30) ).
fof(f31,negated_conjecture,
( ~ n3
| n4
| ~ n9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_31) ).
fof(f33,negated_conjecture,
( ~ n7
| ~ n8
| n10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_33) ).
fof(f34,negated_conjecture,
( n7
| n8
| n10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_34) ).
fof(f35,negated_conjecture,
( ~ n7
| n8
| ~ n10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_35) ).
fof(f37,plain,
( n2
| n9
| n6
| ~ n10 ),
inference(consistent_polarity_flipping,[],[f1]) ).
fof(f40,plain,
( ~ n2
| ~ n9
| ~ n6
| n10 ),
inference(consistent_polarity_flipping,[],[f4]) ).
fof(f42,plain,
( n2
| ~ n9
| ~ n6
| ~ n10 ),
inference(consistent_polarity_flipping,[],[f6]) ).
fof(f43,plain,
( ~ n2
| n9
| n6
| n10 ),
inference(consistent_polarity_flipping,[],[f7]) ).
fof(f45,plain,
( p(s8)
| n8 ),
inference(consistent_polarity_flipping,[],[f9]) ).
fof(f46,plain,
! [X0] :
( ~ n8
| ~ p(X0) ),
inference(consistent_polarity_flipping,[],[f10]) ).
fof(f47,plain,
! [X0] :
( p(X0)
| n7 ),
inference(consistent_polarity_flipping,[],[f11]) ).
fof(f48,plain,
( ~ n7
| ~ p(s7) ),
inference(consistent_polarity_flipping,[],[f12]) ).
fof(f49,plain,
! [X0] :
( n5(X0)
| ~ n6 ),
inference(consistent_polarity_flipping,[],[f13]) ).
fof(f50,plain,
( n6
| ~ n5(s6) ),
inference(consistent_polarity_flipping,[],[f14]) ).
fof(f51,plain,
! [X0] :
( ~ q(X0)
| ~ q(s5(X0))
| ~ n5(X0) ),
inference(consistent_polarity_flipping,[],[f15]) ).
fof(f52,plain,
! [X0] :
( q(X0)
| q(s5(X0))
| ~ n5(X0) ),
inference(consistent_polarity_flipping,[],[f16]) ).
fof(f53,plain,
! [X0,X1] :
( n5(X0)
| ~ q(X0)
| q(X1) ),
inference(consistent_polarity_flipping,[],[f17]) ).
fof(f54,plain,
! [X0,X1] :
( n5(X0)
| q(X0)
| ~ q(X1) ),
inference(consistent_polarity_flipping,[],[f18]) ).
fof(f55,plain,
! [X0] :
( ~ q(X0)
| ~ n3 ),
inference(consistent_polarity_flipping,[],[f21]) ).
fof(f56,plain,
( n3
| q(s3) ),
inference(consistent_polarity_flipping,[],[f22]) ).
fof(f57,plain,
! [X0] :
( n1(X0)
| ~ n2 ),
inference(consistent_polarity_flipping,[],[f23]) ).
fof(f58,plain,
( n2
| ~ n1(s2) ),
inference(consistent_polarity_flipping,[],[f24]) ).
fof(f59,plain,
! [X0] :
( p(X0)
| p(s1(X0))
| ~ n1(X0) ),
inference(consistent_polarity_flipping,[],[f25]) ).
fof(f60,plain,
! [X0] :
( ~ p(X0)
| ~ p(s1(X0))
| ~ n1(X0) ),
inference(consistent_polarity_flipping,[],[f26]) ).
fof(f61,plain,
! [X0,X1] :
( n1(X0)
| p(X0)
| ~ p(X1) ),
inference(consistent_polarity_flipping,[],[f27]) ).
fof(f62,plain,
! [X0,X1] :
( n1(X0)
| ~ p(X0)
| p(X1) ),
inference(consistent_polarity_flipping,[],[f28]) ).
fof(f63,plain,
( n3
| ~ n4
| ~ n9 ),
inference(consistent_polarity_flipping,[],[f29]) ).
fof(f64,plain,
( ~ n3
| n4
| ~ n9 ),
inference(consistent_polarity_flipping,[],[f30]) ).
fof(f65,plain,
( n3
| n4
| n9 ),
inference(consistent_polarity_flipping,[],[f31]) ).
fof(f68,definition,
( spl0_1
<=> n10 ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f72,definition,
( spl0_2
<=> n8 ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f76,definition,
( spl0_3
<=> n7 ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f80,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f35,f76,f72,f68]) ).
fof(f81,plain,
( spl0_1
| spl0_2
| spl0_3 ),
inference(avatar_split_clause,[],[f34,f76,f72,f68]) ).
fof(f82,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f33,f76,f72,f68]) ).
fof(f84,definition,
( spl0_4
<=> n9 ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f88,definition,
( spl0_5
<=> n4 ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f92,definition,
( spl0_6
<=> n3 ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f96,plain,
( spl0_4
| spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f65,f92,f88,f84]) ).
fof(f97,plain,
( ~ spl0_4
| spl0_5
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f64,f92,f88,f84]) ).
fof(f98,plain,
( ~ spl0_4
| ~ spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f63,f92,f88,f84]) ).
fof(f100,definition,
( spl0_7
<=> ! [X1] : p(X1) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f101,plain,
( ! [X1] : p(X1)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f100]) ).
fof(f103,definition,
( spl0_8
<=> ! [X0] :
( n1(X0)
| ~ p(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f104,plain,
( ! [X0] :
( ~ p(X0)
| n1(X0) )
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f103]) ).
fof(f105,plain,
( spl0_7
| spl0_8 ),
inference(avatar_split_clause,[],[f62,f103,f100]) ).
fof(f107,definition,
( spl0_9
<=> ! [X1] : ~ p(X1) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f108,plain,
( ! [X1] : ~ p(X1)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f107]) ).
fof(f110,definition,
( spl0_10
<=> ! [X0] :
( n1(X0)
| p(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f111,plain,
( ! [X0] :
( n1(X0)
| p(X0) )
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f110]) ).
fof(f112,plain,
( spl0_9
| spl0_10 ),
inference(avatar_split_clause,[],[f61,f110,f107]) ).
fof(f114,definition,
( spl0_11
<=> n1(s2) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f116,plain,
( ~ n1(s2)
| spl0_11 ),
inference(avatar_component_clause,[],[f114]) ).
fof(f118,definition,
( spl0_12
<=> n2 ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f121,plain,
( ~ spl0_11
| spl0_12 ),
inference(avatar_split_clause,[],[f58,f118,f114]) ).
fof(f123,definition,
( spl0_13
<=> ! [X0] : n1(X0) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f124,plain,
( ! [X0] : n1(X0)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f123]) ).
fof(f125,plain,
( ~ spl0_12
| spl0_13 ),
inference(avatar_split_clause,[],[f57,f123,f118]) ).
fof(f127,definition,
( spl0_14
<=> q(s3) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f129,plain,
( q(s3)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f127]) ).
fof(f130,plain,
( spl0_14
| spl0_6 ),
inference(avatar_split_clause,[],[f56,f92,f127]) ).
fof(f132,definition,
( spl0_15
<=> ! [X0] : ~ q(X0) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f133,plain,
( ! [X0] : ~ q(X0)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f132]) ).
fof(f134,plain,
( ~ spl0_6
| spl0_15 ),
inference(avatar_split_clause,[],[f55,f132,f92]) ).
fof(f136,definition,
( spl0_16
<=> ! [X0] : q(X0) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f137,plain,
( ! [X0] : q(X0)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f136]) ).
fof(f138,plain,
( spl0_16
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f20,f88,f136]) ).
fof(f140,definition,
( spl0_17
<=> q(s4) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f142,plain,
( ~ q(s4)
| spl0_17 ),
inference(avatar_component_clause,[],[f140]) ).
fof(f143,plain,
( spl0_5
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f19,f140,f88]) ).
fof(f145,definition,
( spl0_18
<=> ! [X0] :
( n5(X0)
| q(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f146,plain,
( ! [X0] :
( n5(X0)
| q(X0) )
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f145]) ).
fof(f147,plain,
( spl0_15
| spl0_18 ),
inference(avatar_split_clause,[],[f54,f145,f132]) ).
fof(f149,definition,
( spl0_19
<=> ! [X0] :
( n5(X0)
| ~ q(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f150,plain,
( ! [X0] :
( n5(X0)
| ~ q(X0) )
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f149]) ).
fof(f151,plain,
( spl0_16
| spl0_19 ),
inference(avatar_split_clause,[],[f53,f149,f136]) ).
fof(f153,definition,
( spl0_20
<=> n5(s6) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f155,plain,
( ~ n5(s6)
| spl0_20 ),
inference(avatar_component_clause,[],[f153]) ).
fof(f157,definition,
( spl0_21
<=> n6 ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f160,plain,
( ~ spl0_20
| spl0_21 ),
inference(avatar_split_clause,[],[f50,f157,f153]) ).
fof(f162,definition,
( spl0_22
<=> ! [X0] : n5(X0) ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
fof(f163,plain,
( ! [X0] : n5(X0)
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f162]) ).
fof(f164,plain,
( ~ spl0_21
| spl0_22 ),
inference(avatar_split_clause,[],[f49,f162,f157]) ).
fof(f166,definition,
( spl0_23
<=> p(s7) ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
fof(f168,plain,
( ~ p(s7)
| spl0_23 ),
inference(avatar_component_clause,[],[f166]) ).
fof(f169,plain,
( ~ spl0_23
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f48,f76,f166]) ).
fof(f170,plain,
( spl0_3
| spl0_7 ),
inference(avatar_split_clause,[],[f47,f100,f76]) ).
fof(f171,plain,
( spl0_9
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f46,f72,f107]) ).
fof(f173,definition,
( spl0_24
<=> p(s8) ),
introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).
fof(f175,plain,
( p(s8)
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f173]) ).
fof(f176,plain,
( spl0_2
| spl0_24 ),
inference(avatar_split_clause,[],[f45,f173,f72]) ).
fof(f178,plain,
( spl0_1
| spl0_21
| spl0_4
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f43,f118,f84,f157,f68]) ).
fof(f179,plain,
( ~ spl0_1
| ~ spl0_21
| ~ spl0_4
| spl0_12 ),
inference(avatar_split_clause,[],[f42,f118,f84,f157,f68]) ).
fof(f181,plain,
( spl0_1
| ~ spl0_21
| ~ spl0_4
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f40,f118,f84,f157,f68]) ).
fof(f184,plain,
( ~ spl0_1
| spl0_21
| spl0_4
| spl0_12 ),
inference(avatar_split_clause,[],[f37,f118,f84,f157,f68]) ).
fof(f185,plain,
( $false
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f108,f101]) ).
fof(f186,plain,
( ~ spl0_7
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f185]) ).
fof(f187,plain,
( $false
| ~ spl0_7
| spl0_23 ),
inference(forward_subsumption_resolution,[],[f168,f101]) ).
fof(f188,plain,
( ~ spl0_7
| spl0_23 ),
inference(avatar_contradiction_clause,[],[f187]) ).
fof(f189,plain,
( $false
| spl0_11
| ~ spl0_13 ),
inference(backward_subsumption_resolution,[],[f116,f124]) ).
fof(f190,plain,
( spl0_11
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f189]) ).
fof(f191,plain,
( $false
| ~ spl0_14
| ~ spl0_15 ),
inference(backward_subsumption_resolution,[],[f129,f133]) ).
fof(f192,plain,
( ~ spl0_14
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f191]) ).
fof(f193,plain,
( $false
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f137,f133]) ).
fof(f194,plain,
( ~ spl0_15
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f193]) ).
fof(f195,plain,
( $false
| spl0_20
| ~ spl0_22 ),
inference(backward_subsumption_resolution,[],[f155,f163]) ).
fof(f196,plain,
( spl0_20
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f195]) ).
fof(f198,plain,
( ! [X0] : n1(X0)
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f111,f104]) ).
fof(f199,plain,
( spl0_13
| ~ spl0_8
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f198,f110,f103,f123]) ).
fof(f200,plain,
( ! [X0] :
( q(s5(X0))
| ~ n5(X0) )
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f52,f133]) ).
fof(f201,plain,
( ! [X0] : ~ n5(X0)
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f200,f133]) ).
fof(f202,plain,
( $false
| ~ spl0_15
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f201,f163]) ).
fof(f203,plain,
( ~ spl0_15
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f202]) ).
fof(f205,plain,
( ! [X0] : n5(X0)
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f150,f146]) ).
fof(f206,plain,
( spl0_22
| ~ spl0_18
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f205,f149,f145,f162]) ).
fof(f207,plain,
( $false
| ~ spl0_16
| spl0_17 ),
inference(backward_subsumption_resolution,[],[f142,f137]) ).
fof(f208,plain,
( ~ spl0_16
| spl0_17 ),
inference(avatar_contradiction_clause,[],[f207]) ).
fof(f209,plain,
( $false
| ~ spl0_9
| ~ spl0_24 ),
inference(backward_subsumption_resolution,[],[f175,f108]) ).
fof(f210,plain,
( ~ spl0_9
| ~ spl0_24 ),
inference(avatar_contradiction_clause,[],[f209]) ).
fof(f213,plain,
( ! [X0] :
( ~ q(s5(X0))
| ~ n5(X0) )
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f51,f137]) ).
fof(f214,plain,
( ! [X0] : ~ n5(X0)
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f213,f137]) ).
fof(f215,plain,
( $false
| ~ spl0_16
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f214,f163]) ).
fof(f216,plain,
( ~ spl0_16
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f215]) ).
fof(f220,plain,
( ! [X0] :
( p(s1(X0))
| ~ n1(X0) )
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f59,f108]) ).
fof(f221,plain,
( ! [X0] : ~ n1(X0)
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f220,f108]) ).
fof(f222,plain,
( $false
| ~ spl0_9
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f221,f124]) ).
fof(f223,plain,
( ~ spl0_9
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f222]) ).
fof(f226,plain,
( ! [X0] :
( ~ p(s1(X0))
| ~ n1(X0) )
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f60,f101]) ).
fof(f227,plain,
( ! [X0] : ~ n1(X0)
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f226,f101]) ).
fof(f228,plain,
( $false
| ~ spl0_7
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f227,f124]) ).
fof(f229,plain,
( ~ spl0_7
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f228]) ).
cnf(s2,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_3 ),
inference(sat_conversion,[],[f80]) ).
cnf(s3,plain,
( spl0_1
| spl0_2
| spl0_3 ),
inference(sat_conversion,[],[f81]) ).
cnf(s4,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(sat_conversion,[],[f82]) ).
cnf(s6,plain,
( spl0_4
| spl0_5
| spl0_6 ),
inference(sat_conversion,[],[f96]) ).
cnf(s7,plain,
( ~ spl0_4
| spl0_5
| ~ spl0_6 ),
inference(sat_conversion,[],[f97]) ).
cnf(s8,plain,
( ~ spl0_4
| ~ spl0_5
| spl0_6 ),
inference(sat_conversion,[],[f98]) ).
cnf(s9,plain,
( spl0_7
| spl0_8 ),
inference(sat_conversion,[],[f105]) ).
cnf(s10,plain,
( spl0_9
| spl0_10 ),
inference(sat_conversion,[],[f112]) ).
cnf(s11,plain,
( ~ spl0_11
| spl0_12 ),
inference(sat_conversion,[],[f121]) ).
cnf(s12,plain,
( ~ spl0_12
| spl0_13 ),
inference(sat_conversion,[],[f125]) ).
cnf(s13,plain,
( spl0_6
| spl0_14 ),
inference(sat_conversion,[],[f130]) ).
cnf(s14,plain,
( ~ spl0_6
| spl0_15 ),
inference(sat_conversion,[],[f134]) ).
cnf(s15,plain,
( ~ spl0_5
| spl0_16 ),
inference(sat_conversion,[],[f138]) ).
cnf(s16,plain,
( spl0_5
| ~ spl0_17 ),
inference(sat_conversion,[],[f143]) ).
cnf(s17,plain,
( spl0_15
| spl0_18 ),
inference(sat_conversion,[],[f147]) ).
cnf(s18,plain,
( spl0_16
| spl0_19 ),
inference(sat_conversion,[],[f151]) ).
cnf(s19,plain,
( ~ spl0_20
| spl0_21 ),
inference(sat_conversion,[],[f160]) ).
cnf(s20,plain,
( ~ spl0_21
| spl0_22 ),
inference(sat_conversion,[],[f164]) ).
cnf(s21,plain,
( ~ spl0_3
| ~ spl0_23 ),
inference(sat_conversion,[],[f169]) ).
cnf(s22,plain,
( spl0_3
| spl0_7 ),
inference(sat_conversion,[],[f170]) ).
cnf(s23,plain,
( ~ spl0_2
| spl0_9 ),
inference(sat_conversion,[],[f171]) ).
cnf(s24,plain,
( spl0_2
| spl0_24 ),
inference(sat_conversion,[],[f176]) ).
cnf(s26,plain,
( spl0_1
| spl0_4
| ~ spl0_12
| spl0_21 ),
inference(sat_conversion,[],[f178]) ).
cnf(s27,plain,
( ~ spl0_1
| ~ spl0_4
| spl0_12
| ~ spl0_21 ),
inference(sat_conversion,[],[f179]) ).
cnf(s29,plain,
( spl0_1
| ~ spl0_4
| ~ spl0_12
| ~ spl0_21 ),
inference(sat_conversion,[],[f181]) ).
cnf(s32,plain,
( ~ spl0_1
| spl0_4
| spl0_12
| spl0_21 ),
inference(sat_conversion,[],[f184]) ).
cnf(s33,plain,
( ~ spl0_7
| ~ spl0_9 ),
inference(sat_conversion,[],[f186]) ).
cnf(s34,plain,
( ~ spl0_7
| spl0_23 ),
inference(sat_conversion,[],[f188]) ).
cnf(s35,plain,
( spl0_11
| ~ spl0_13 ),
inference(sat_conversion,[],[f190]) ).
cnf(s36,plain,
( ~ spl0_14
| ~ spl0_15 ),
inference(sat_conversion,[],[f192]) ).
cnf(s37,plain,
( ~ spl0_15
| ~ spl0_16 ),
inference(sat_conversion,[],[f194]) ).
cnf(s38,plain,
( spl0_20
| ~ spl0_22 ),
inference(sat_conversion,[],[f196]) ).
cnf(s39,plain,
( ~ spl0_8
| ~ spl0_10
| spl0_13 ),
inference(sat_conversion,[],[f199]) ).
cnf(s40,plain,
( ~ spl0_15
| ~ spl0_22 ),
inference(sat_conversion,[],[f203]) ).
cnf(s41,plain,
( ~ spl0_18
| ~ spl0_19
| spl0_22 ),
inference(sat_conversion,[],[f206]) ).
cnf(s42,plain,
( ~ spl0_16
| spl0_17 ),
inference(sat_conversion,[],[f208]) ).
cnf(s43,plain,
( ~ spl0_9
| ~ spl0_24 ),
inference(sat_conversion,[],[f210]) ).
cnf(s47,plain,
( ~ spl0_16
| ~ spl0_22 ),
inference(sat_conversion,[],[f216]) ).
cnf(s48,plain,
( ~ spl0_9
| ~ spl0_13 ),
inference(sat_conversion,[],[f223]) ).
cnf(s49,plain,
( ~ spl0_7
| ~ spl0_13 ),
inference(sat_conversion,[],[f229]) ).
cnf(s50,plain,
( spl0_4
| ~ spl0_12
| spl0_1 ),
inference(rat,[],[s6,s14,s15,s40,s47,s20,s26]) ).
cnf(s51,plain,
( spl0_5
| spl0_22
| ~ spl0_4 ),
inference(rat,[],[s17,s41,s36,s18,s13,s42,s7,s16]) ).
cnf(s52,plain,
( spl0_22
| ~ spl0_4 ),
inference(rat,[],[s14,s37,s8,s15,s51]) ).
cnf(s53,plain,
( ~ spl0_4
| ~ spl0_12
| spl0_1 ),
inference(rat,[],[s52,s38,s19,s29]) ).
cnf(s54,plain,
( ~ spl0_12
| spl0_1 ),
inference(rat,[],[s53,s50]) ).
cnf(s55,plain,
( spl0_2
| spl0_1 ),
inference(rat,[],[s9,s39,s34,s10,s21,s43,s3,s24,s35,s11,s54]) ).
cnf(s56,plain,
spl0_1,
inference(rat,[],[s22,s33,s4,s23,s55]) ).
cnf(s57,plain,
~ spl0_13,
inference(rat,[],[s2,s23,s22,s48,s49,s56]) ).
cnf(s58,plain,
~ spl0_12,
inference(rat,[],[s12,s57]) ).
cnf(s60,plain,
~ spl0_4,
inference(rat,[],[s19,s38,s27,s52,s56,s58]) ).
cnf(s61,plain,
spl0_21,
inference(rat,[],[s32,s58,s56,s60]) ).
cnf(s62,plain,
spl0_22,
inference(rat,[],[s20,s61]) ).
cnf(s63,plain,
~ spl0_16,
inference(rat,[],[s47,s62]) ).
cnf(s64,plain,
~ spl0_15,
inference(rat,[],[s40,s62]) ).
cnf(s67,plain,
~ spl0_5,
inference(rat,[],[s15,s63]) ).
cnf(s69,plain,
~ spl0_6,
inference(rat,[],[s14,s64]) ).
cnf(s71,plain,
$false,
inference(rat,[],[s6,s60,s67,s69]) ).
fof(f230,plain,
$false,
inference(avatar_sat_refutation,[],[s71]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN036-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.18 % Computer : n002.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 15:24:14 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.21 Running first-order model finding
% 0.07/0.21 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.24 % (443997)Will run a generic schedule for satisfiability detection.
% 0.07/0.24 % (444003)% WARNING: option uhcvi not known.
% 0.07/0.24 % (444003)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1595192198:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.07/0.24 % (444003) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-443997-444003"...
% 0.07/0.24 % (444003)...printing done.
% 0.07/0.24 % (444003)Refutation found. Thanks to Tanya!
% 0.07/0.24 % SZS status Unsatisfiable for theBenchmark
% 0.07/0.24 % SZS output start Proof for theBenchmark
% See solution above
% 0.07/0.25 % (444003)------------------------------
% 0.07/0.25 % (444003)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.07/0.25 % (444003)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.07/0.25 % (444003)CaDiCaL version: 2.1.3
% 0.07/0.25 % (444003)Termination reason: Refutation
% 0.07/0.25 % (444003)Time elapsed: 0.002 s
% 0.07/0.25 % (444003)Peak memory usage: 12 MB
% 0.07/0.25 % (444003)Instructions burned: 5 (million)
% 0.07/0.25 % (443997)Success in time 0.024 s
% 0.07/0.25 % Vampire exiting
%------------------------------------------------------------------------------