%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN037-2 : 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 0.20s 0.28s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 43
% Syntax : Number of formulae : 165 ( 10 unt; 21 def)
% Number of atoms : 443 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 498 ( 220 ~; 257 |; 0 &)
% ( 21 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 27 ( 26 usr; 25 prp; 0-1 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-1 aty)
% Number of variables : 52 ( 0 sgn 52 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0] :
( ~ m1
| ~ m3
| ~ p(X0)
| ~ p(fy(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1) ).
fof(f2,negated_conjecture,
! [X0] :
( ~ m1
| ~ m3
| p(X0)
| p(fy(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2) ).
fof(f3,negated_conjecture,
! [X0] :
( ~ m1
| ~ p(cx)
| m3
| p(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3) ).
fof(f4,negated_conjecture,
! [X0] :
( ~ m1
| ~ p(X0)
| m3
| p(cx) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_4) ).
fof(f5,negated_conjecture,
! [X0] :
( ~ m2
| ~ m3
| ~ q(cw)
| q(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_5) ).
fof(f6,negated_conjecture,
! [X0] :
( ~ m2
| ~ m3
| ~ q(X0)
| q(cw) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_6) ).
fof(f7,negated_conjecture,
! [X0] :
( ~ m2
| ~ q(X0)
| ~ q(fz5(X0))
| m3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_7) ).
fof(f8,negated_conjecture,
! [X0] :
( ~ m2
| m3
| q(X0)
| q(fz5(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_8) ).
fof(f9,negated_conjecture,
! [X0] :
( ~ m3
| ~ p(cx)
| m1
| p(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_9) ).
fof(f10,negated_conjecture,
! [X0] :
( ~ m3
| ~ p(X0)
| m1
| p(cx) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_10) ).
fof(f11,negated_conjecture,
! [X0] :
( ~ m3
| ~ q(X0)
| ~ q(fz2(X0))
| m2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_11) ).
fof(f12,negated_conjecture,
! [X0] :
( ~ m3
| m2
| q(X0)
| q(fz2(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_12) ).
fof(f13,negated_conjecture,
! [X0] :
( ~ p(X0)
| ~ p(fy3(X0))
| m1
| m3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_13) ).
fof(f14,negated_conjecture,
! [X0] :
( ~ q(cw)
| m2
| m3
| q(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_14) ).
fof(f15,negated_conjecture,
! [X0] :
( ~ q(X0)
| m2
| m3
| q(cw) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_15) ).
fof(f16,negated_conjecture,
! [X0] :
( m1
| m3
| p(X0)
| p(fy3(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_16) ).
fof(f17,negated_conjecture,
! [X0,X1] :
( ~ m1
| ~ q(X0)
| q(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_17) ).
fof(f18,negated_conjecture,
! [X0,X1] :
( ~ m2
| ~ p(X0)
| p(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_18) ).
fof(f19,negated_conjecture,
( ~ p(cvv)
| m2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_19) ).
fof(f20,negated_conjecture,
( ~ q(cuu)
| m1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_20) ).
fof(f21,negated_conjecture,
( m2
| p(cv) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_21) ).
fof(f22,negated_conjecture,
( m1
| q(cu) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_22) ).
fof(f24,definition,
( spl0_1
<=> q(cu) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f26,plain,
( q(cu)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f24]) ).
fof(f28,definition,
( spl0_2
<=> m1 ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f31,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f22,f28,f24]) ).
fof(f33,definition,
( spl0_3
<=> p(cv) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f34,plain,
( ~ p(cv)
| spl0_3 ),
inference(avatar_component_clause,[],[f33]) ).
fof(f35,plain,
( p(cv)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f33]) ).
fof(f37,definition,
( spl0_4
<=> m2 ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f40,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f21,f37,f33]) ).
fof(f42,definition,
( spl0_5
<=> q(cuu) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f44,plain,
( ~ q(cuu)
| spl0_5 ),
inference(avatar_component_clause,[],[f42]) ).
fof(f45,plain,
( spl0_2
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f20,f42,f28]) ).
fof(f47,definition,
( spl0_6
<=> p(cvv) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f49,plain,
( ~ p(cvv)
| spl0_6 ),
inference(avatar_component_clause,[],[f47]) ).
fof(f50,plain,
( spl0_4
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f19,f47,f37]) ).
fof(f52,definition,
( spl0_7
<=> ! [X1] : p(X1) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f53,plain,
( ! [X1] : p(X1)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f52]) ).
fof(f55,definition,
( spl0_8
<=> ! [X0] : ~ p(X0) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f56,plain,
( ! [X0] : ~ p(X0)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f55]) ).
fof(f57,plain,
( spl0_7
| spl0_8
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f18,f37,f55,f52]) ).
fof(f59,definition,
( spl0_9
<=> ! [X1] : q(X1) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f60,plain,
( ! [X1] : q(X1)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f59]) ).
fof(f62,definition,
( spl0_10
<=> ! [X0] : ~ q(X0) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f63,plain,
( ! [X0] : ~ q(X0)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f62]) ).
fof(f64,plain,
( spl0_9
| spl0_10
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f17,f28,f62,f59]) ).
fof(f66,definition,
( spl0_11
<=> ! [X0] :
( p(X0)
| p(fy3(X0)) ) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f67,plain,
( ! [X0] :
( p(X0)
| p(fy3(X0)) )
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f66]) ).
fof(f69,definition,
( spl0_12
<=> m3 ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f72,plain,
( spl0_11
| spl0_12
| spl0_2 ),
inference(avatar_split_clause,[],[f16,f28,f69,f66]) ).
fof(f74,definition,
( spl0_13
<=> q(cw) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f77,plain,
( spl0_13
| spl0_12
| spl0_4
| spl0_10 ),
inference(avatar_split_clause,[],[f15,f62,f37,f69,f74]) ).
fof(f78,plain,
( spl0_9
| spl0_12
| spl0_4
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f14,f74,f37,f69,f59]) ).
fof(f80,definition,
( spl0_14
<=> ! [X0] :
( ~ p(X0)
| ~ p(fy3(X0)) ) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f81,plain,
( ! [X0] :
( ~ p(X0)
| ~ p(fy3(X0)) )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f80]) ).
fof(f82,plain,
( spl0_12
| spl0_2
| spl0_14 ),
inference(avatar_split_clause,[],[f13,f80,f28,f69]) ).
fof(f84,definition,
( spl0_15
<=> ! [X0] :
( q(X0)
| q(fz2(X0)) ) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f85,plain,
( ! [X0] :
( q(X0)
| q(fz2(X0)) )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f84]) ).
fof(f86,plain,
( spl0_15
| spl0_4
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f12,f69,f37,f84]) ).
fof(f88,definition,
( spl0_16
<=> ! [X0] :
( ~ q(X0)
| ~ q(fz2(X0)) ) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f89,plain,
( ! [X0] :
( ~ q(X0)
| ~ q(fz2(X0)) )
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f88]) ).
fof(f90,plain,
( spl0_4
| spl0_16
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f11,f69,f88,f37]) ).
fof(f92,definition,
( spl0_17
<=> p(cx) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f95,plain,
( spl0_17
| spl0_2
| spl0_8
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f10,f69,f55,f28,f92]) ).
fof(f96,plain,
( spl0_7
| spl0_2
| ~ spl0_17
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f9,f69,f92,f28,f52]) ).
fof(f98,definition,
( spl0_18
<=> ! [X0] :
( q(X0)
| q(fz5(X0)) ) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f99,plain,
( ! [X0] :
( q(X0)
| q(fz5(X0)) )
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f98]) ).
fof(f100,plain,
( spl0_18
| spl0_12
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f8,f37,f69,f98]) ).
fof(f102,definition,
( spl0_19
<=> ! [X0] :
( ~ q(X0)
| ~ q(fz5(X0)) ) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f103,plain,
( ! [X0] :
( ~ q(X0)
| ~ q(fz5(X0)) )
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f102]) ).
fof(f104,plain,
( spl0_12
| spl0_19
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f7,f37,f102,f69]) ).
fof(f105,plain,
( spl0_13
| spl0_10
| ~ spl0_12
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f6,f37,f69,f62,f74]) ).
fof(f106,plain,
( spl0_9
| ~ spl0_13
| ~ spl0_12
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f5,f37,f69,f74,f59]) ).
fof(f107,plain,
( spl0_17
| spl0_12
| spl0_8
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f4,f28,f55,f69,f92]) ).
fof(f108,plain,
( spl0_7
| spl0_12
| ~ spl0_17
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f3,f28,f92,f69,f52]) ).
fof(f110,definition,
( spl0_20
<=> ! [X0] :
( p(X0)
| p(fy(X0)) ) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f111,plain,
( ! [X0] :
( p(X0)
| p(fy(X0)) )
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f110]) ).
fof(f112,plain,
( spl0_20
| ~ spl0_12
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f2,f28,f69,f110]) ).
fof(f114,definition,
( spl0_21
<=> ! [X0] :
( ~ p(X0)
| ~ p(fy(X0)) ) ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f115,plain,
( ! [X0] :
( ~ p(X0)
| ~ p(fy(X0)) )
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f114]) ).
fof(f116,plain,
( spl0_21
| ~ spl0_12
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f1,f28,f69,f114]) ).
fof(f117,plain,
( $false
| ~ spl0_3
| ~ spl0_8 ),
inference(resolution,[],[f56,f35]) ).
fof(f118,plain,
( ~ spl0_3
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f117]) ).
fof(f119,plain,
( $false
| spl0_6
| ~ spl0_7 ),
inference(resolution,[],[f53,f49]) ).
fof(f120,plain,
( spl0_6
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f119]) ).
fof(f121,plain,
( ! [X0] : q(fz5(X0))
| ~ spl0_10
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f99,f63]) ).
fof(f122,plain,
( $false
| ~ spl0_10
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f121,f63]) ).
fof(f123,plain,
( ~ spl0_10
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f122]) ).
fof(f126,plain,
( ! [X0] : ~ q(fz5(X0))
| ~ spl0_9
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f103,f60]) ).
fof(f127,plain,
( $false
| ~ spl0_9
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f126,f60]) ).
fof(f128,plain,
( ~ spl0_9
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f127]) ).
fof(f129,plain,
( ! [X0] : ~ p(fy3(X0))
| ~ spl0_7
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f81,f53]) ).
fof(f130,plain,
( $false
| ~ spl0_7
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f129,f53]) ).
fof(f131,plain,
( ~ spl0_7
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f130]) ).
fof(f136,plain,
( $false
| ~ spl0_1
| ~ spl0_10 ),
inference(resolution,[],[f63,f26]) ).
fof(f137,plain,
( ~ spl0_1
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f136]) ).
fof(f138,plain,
( $false
| spl0_5
| ~ spl0_9 ),
inference(resolution,[],[f60,f44]) ).
fof(f139,plain,
( spl0_5
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f138]) ).
fof(f140,plain,
( ! [X0] : p(fy3(X0))
| ~ spl0_8
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f67,f56]) ).
fof(f141,plain,
( $false
| ~ spl0_8
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f140,f56]) ).
fof(f142,plain,
( ~ spl0_8
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f141]) ).
fof(f143,plain,
( ! [X0] : p(fy(X0))
| ~ spl0_8
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f111,f56]) ).
fof(f144,plain,
( $false
| ~ spl0_8
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f143,f56]) ).
fof(f145,plain,
( ~ spl0_8
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f144]) ).
fof(f146,plain,
( $false
| spl0_3
| ~ spl0_7 ),
inference(resolution,[],[f53,f34]) ).
fof(f147,plain,
( spl0_3
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f146]) ).
fof(f150,plain,
( ! [X0] : ~ p(fy(X0))
| ~ spl0_7
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f115,f53]) ).
fof(f151,plain,
( $false
| ~ spl0_7
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f150,f53]) ).
fof(f152,plain,
( ~ spl0_7
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f151]) ).
fof(f153,plain,
( ! [X0] : ~ q(fz2(X0))
| ~ spl0_9
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f89,f60]) ).
fof(f154,plain,
( $false
| ~ spl0_9
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f153,f60]) ).
fof(f155,plain,
( ~ spl0_9
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f154]) ).
fof(f160,plain,
( ! [X0] : q(fz2(X0))
| ~ spl0_10
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f85,f63]) ).
fof(f161,plain,
( $false
| ~ spl0_10
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f160,f63]) ).
fof(f162,plain,
( ~ spl0_10
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f161]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f31]) ).
cnf(s2,plain,
( spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f40]) ).
cnf(s3,plain,
( spl0_2
| ~ spl0_5 ),
inference(sat_conversion,[],[f45]) ).
cnf(s4,plain,
( spl0_4
| ~ spl0_6 ),
inference(sat_conversion,[],[f50]) ).
cnf(s5,plain,
( ~ spl0_4
| spl0_7
| spl0_8 ),
inference(sat_conversion,[],[f57]) ).
cnf(s6,plain,
( ~ spl0_2
| spl0_9
| spl0_10 ),
inference(sat_conversion,[],[f64]) ).
cnf(s7,plain,
( spl0_2
| spl0_11
| spl0_12 ),
inference(sat_conversion,[],[f72]) ).
cnf(s8,plain,
( spl0_4
| spl0_10
| spl0_12
| spl0_13 ),
inference(sat_conversion,[],[f77]) ).
cnf(s9,plain,
( spl0_4
| spl0_9
| spl0_12
| ~ spl0_13 ),
inference(sat_conversion,[],[f78]) ).
cnf(s10,plain,
( spl0_2
| spl0_12
| spl0_14 ),
inference(sat_conversion,[],[f82]) ).
cnf(s11,plain,
( spl0_4
| ~ spl0_12
| spl0_15 ),
inference(sat_conversion,[],[f86]) ).
cnf(s12,plain,
( spl0_4
| ~ spl0_12
| spl0_16 ),
inference(sat_conversion,[],[f90]) ).
cnf(s13,plain,
( spl0_2
| spl0_8
| ~ spl0_12
| spl0_17 ),
inference(sat_conversion,[],[f95]) ).
cnf(s14,plain,
( spl0_2
| spl0_7
| ~ spl0_12
| ~ spl0_17 ),
inference(sat_conversion,[],[f96]) ).
cnf(s15,plain,
( ~ spl0_4
| spl0_12
| spl0_18 ),
inference(sat_conversion,[],[f100]) ).
cnf(s16,plain,
( ~ spl0_4
| spl0_12
| spl0_19 ),
inference(sat_conversion,[],[f104]) ).
cnf(s17,plain,
( ~ spl0_4
| spl0_10
| ~ spl0_12
| spl0_13 ),
inference(sat_conversion,[],[f105]) ).
cnf(s18,plain,
( ~ spl0_4
| spl0_9
| ~ spl0_12
| ~ spl0_13 ),
inference(sat_conversion,[],[f106]) ).
cnf(s19,plain,
( ~ spl0_2
| spl0_8
| spl0_12
| spl0_17 ),
inference(sat_conversion,[],[f107]) ).
cnf(s20,plain,
( ~ spl0_2
| spl0_7
| spl0_12
| ~ spl0_17 ),
inference(sat_conversion,[],[f108]) ).
cnf(s21,plain,
( ~ spl0_2
| ~ spl0_12
| spl0_20 ),
inference(sat_conversion,[],[f112]) ).
cnf(s22,plain,
( ~ spl0_2
| ~ spl0_12
| spl0_21 ),
inference(sat_conversion,[],[f116]) ).
cnf(s23,plain,
( ~ spl0_3
| ~ spl0_8 ),
inference(sat_conversion,[],[f118]) ).
cnf(s24,plain,
( spl0_6
| ~ spl0_7 ),
inference(sat_conversion,[],[f120]) ).
cnf(s25,plain,
( ~ spl0_10
| ~ spl0_18 ),
inference(sat_conversion,[],[f123]) ).
cnf(s27,plain,
( ~ spl0_9
| ~ spl0_19 ),
inference(sat_conversion,[],[f128]) ).
cnf(s28,plain,
( ~ spl0_7
| ~ spl0_14 ),
inference(sat_conversion,[],[f131]) ).
cnf(s31,plain,
( ~ spl0_1
| ~ spl0_10 ),
inference(sat_conversion,[],[f137]) ).
cnf(s32,plain,
( spl0_5
| ~ spl0_9 ),
inference(sat_conversion,[],[f139]) ).
cnf(s33,plain,
( ~ spl0_8
| ~ spl0_11 ),
inference(sat_conversion,[],[f142]) ).
cnf(s34,plain,
( ~ spl0_8
| ~ spl0_20 ),
inference(sat_conversion,[],[f145]) ).
cnf(s35,plain,
( spl0_3
| ~ spl0_7 ),
inference(sat_conversion,[],[f147]) ).
cnf(s37,plain,
( ~ spl0_7
| ~ spl0_21 ),
inference(sat_conversion,[],[f152]) ).
cnf(s38,plain,
( ~ spl0_9
| ~ spl0_16 ),
inference(sat_conversion,[],[f155]) ).
cnf(s41,plain,
( ~ spl0_10
| ~ spl0_15 ),
inference(sat_conversion,[],[f162]) ).
cnf(s42,plain,
( spl0_3
| ~ spl0_2 ),
inference(rat,[],[s6,s25,s27,s15,s16,s21,s34,s5,s2,s35]) ).
cnf(s43,plain,
( ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s6,s25,s27,s15,s16,s22,s37,s5,s23,s42]) ).
cnf(s44,plain,
( spl0_12
| ~ spl0_2 ),
inference(rat,[],[s19,s20,s23,s42,s24,s4,s43]) ).
cnf(s45,plain,
~ spl0_2,
inference(rat,[],[s6,s41,s38,s11,s12,s44,s43]) ).
cnf(s46,plain,
~ spl0_5,
inference(rat,[],[s3,s45]) ).
cnf(s47,plain,
spl0_1,
inference(rat,[],[s1,s45]) ).
cnf(s48,plain,
~ spl0_9,
inference(rat,[],[s32,s46]) ).
cnf(s49,plain,
~ spl0_10,
inference(rat,[],[s31,s47]) ).
cnf(s50,plain,
( spl0_12
| spl0_4 ),
inference(rat,[],[s8,s9,s48,s49]) ).
cnf(s51,plain,
spl0_4,
inference(rat,[],[s13,s14,s50,s23,s24,s2,s4,s45]) ).
cnf(s52,plain,
spl0_12,
inference(rat,[],[s5,s33,s28,s7,s10,s51,s45]) ).
cnf(s53,plain,
spl0_13,
inference(rat,[],[s17,s51,s49,s52]) ).
cnf(s54,plain,
$false,
inference(rat,[],[s18,s51,s48,s53,s52]) ).
fof(f163,plain,
$false,
inference(avatar_sat_refutation,[],[s54]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN037-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.20 % Computer : n002.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Mon Sep 28 15:24:37 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.24 Running first-order model finding
% 0.09/0.24 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
% 0.20/0.28 % (444817)Will run a generic schedule for satisfiability detection.
% 0.20/0.28 % (444825)dis+10_1_sil=32000:sp=arity:random_seed=2298626655:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.20/0.28 % (444825) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-444817-444825"...
% 0.20/0.28 % (444825)...printing done.
% 0.20/0.28 % (444825)Refutation found. Thanks to Tanya!
% 0.20/0.28 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.28 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.28 % (444825)------------------------------
% 0.20/0.28 % (444825)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.28 % (444825)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.28 % (444825)CaDiCaL version: 2.1.3
% 0.20/0.28 % (444825)Termination reason: Refutation
% 0.20/0.28 % (444825)Time elapsed: 0.002 s
% 0.20/0.28 % (444825)Peak memory usage: 12 MB
% 0.20/0.28 % (444825)Instructions burned: 3 (million)
% 0.20/0.28 % (444817)Success in time 0.036 s
% 0.20/0.28 % Vampire exiting
%------------------------------------------------------------------------------