%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN157-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n006.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 02:06:54 PM UTC 2026
% Result : Unsatisfiable 0.33s 0.43s
% Output : Refutation 0.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 27
% Syntax : Number of formulae : 93 ( 25 unt; 12 def)
% Number of atoms : 187 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 193 ( 99 ~; 82 |; 0 &)
% ( 12 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 24 ( 23 usr; 13 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 45 ( 0 sgn 45 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
s0(d),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_1) ).
fof(f3,axiom,
n0(d,e),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_3) ).
fof(f7,axiom,
n0(d,b),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_7) ).
fof(f14,axiom,
! [X0] : p0(b,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_14) ).
fof(f29,axiom,
q0(d,b),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_29) ).
fof(f39,axiom,
! [X0,X1] :
( k1(X0)
| ~ n0(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_001) ).
fof(f40,axiom,
! [X0,X1] :
( ~ n0(X1,X0)
| l1(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_002) ).
fof(f163,axiom,
! [X0] :
( s1(X0)
| ~ p0(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_125) ).
fof(f164,axiom,
! [X2,X0,X1] :
( s1(X0)
| ~ q0(X0,X1)
| ~ s1(X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_126) ).
fof(f173,axiom,
! [X2,X0,X1] :
( m2(X0)
| ~ s0(X0)
| ~ l1(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_135) ).
fof(f174,axiom,
( m2(b)
| ~ k1(b) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_136) ).
fof(f250,axiom,
! [X0] :
( ~ m2(X0)
| k3(X0,X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_212) ).
fof(f325,axiom,
! [X0,X1] :
( p4(X0,X1,X0)
| ~ k3(X0,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_287) ).
fof(f354,axiom,
! [X2,X0,X1] :
( n5(X0,X0)
| ~ p4(X1,X0,X0)
| ~ s1(X0)
| ~ p4(b,b,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_316) ).
fof(f369,negated_conjecture,
! [X0] : ~ n5(X0,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f371,definition,
( spl0_1
<=> ! [X2] : ~ p4(b,b,X2) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f372,plain,
( ! [X2] : ~ p4(b,b,X2)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f371]) ).
fof(f374,definition,
( spl0_2
<=> ! [X0,X1] :
( n5(X0,X0)
| ~ s1(X0)
| ~ p4(X1,X0,X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f375,plain,
( ! [X0,X1] :
( n5(X0,X0)
| ~ s1(X0)
| ~ p4(X1,X0,X0) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f374]) ).
fof(f376,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f354,f374,f371]) ).
fof(f508,definition,
( spl0_36
<=> m2(b) ),
introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).
fof(f509,plain,
( m2(b)
| ~ spl0_36 ),
inference(avatar_component_clause,[],[f508]) ).
fof(f535,definition,
( spl0_43
<=> ! [X1] : ~ s1(X1) ),
introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).
fof(f536,plain,
( ! [X1] : ~ s1(X1)
| ~ spl0_43 ),
inference(avatar_component_clause,[],[f535]) ).
fof(f747,definition,
( spl0_96
<=> k3(d,d,d) ),
introduced(definition,[new_symbols(definition,[spl0_96])],[avatar_definition]) ).
fof(f749,plain,
( k3(d,d,d)
| ~ spl0_96 ),
inference(avatar_component_clause,[],[f747]) ).
fof(f779,definition,
( spl0_104
<=> s1(d) ),
introduced(definition,[new_symbols(definition,[spl0_104])],[avatar_definition]) ).
fof(f780,plain,
( s1(d)
| ~ spl0_104 ),
inference(avatar_component_clause,[],[f779]) ).
fof(f781,plain,
( ~ s1(d)
| spl0_104 ),
inference(avatar_component_clause,[],[f779]) ).
fof(f788,definition,
( spl0_106
<=> s0(d) ),
introduced(definition,[new_symbols(definition,[spl0_106])],[avatar_definition]) ).
fof(f789,plain,
( s0(d)
| ~ spl0_106 ),
inference(avatar_component_clause,[],[f788]) ).
fof(f986,definition,
( spl0_156
<=> k1(b) ),
introduced(definition,[new_symbols(definition,[spl0_156])],[avatar_definition]) ).
fof(f988,plain,
( ~ k1(b)
| spl0_156 ),
inference(avatar_component_clause,[],[f986]) ).
fof(f989,plain,
( ~ spl0_156
| spl0_36 ),
inference(avatar_split_clause,[],[f174,f508,f986]) ).
fof(f991,definition,
( spl0_157
<=> ! [X2,X1] : ~ l1(X1,X2) ),
introduced(definition,[new_symbols(definition,[spl0_157])],[avatar_definition]) ).
fof(f992,plain,
( ! [X2,X1] : ~ l1(X1,X2)
| ~ spl0_157 ),
inference(avatar_component_clause,[],[f991]) ).
fof(f994,definition,
( spl0_158
<=> ! [X0] :
( m2(X0)
| ~ s0(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_158])],[avatar_definition]) ).
fof(f995,plain,
( ! [X0] :
( m2(X0)
| ~ s0(X0) )
| ~ spl0_158 ),
inference(avatar_component_clause,[],[f994]) ).
fof(f996,plain,
( spl0_157
| spl0_158 ),
inference(avatar_split_clause,[],[f173,f994,f991]) ).
fof(f998,definition,
( spl0_159
<=> ! [X1] : ~ p0(X1,X1) ),
introduced(definition,[new_symbols(definition,[spl0_159])],[avatar_definition]) ).
fof(f999,plain,
( ! [X1] : ~ p0(X1,X1)
| ~ spl0_159 ),
inference(avatar_component_clause,[],[f998]) ).
fof(f1014,definition,
( spl0_163
<=> ! [X0,X1] :
( s1(X0)
| ~ q0(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_163])],[avatar_definition]) ).
fof(f1015,plain,
( ! [X0,X1] :
( s1(X0)
| ~ q0(X0,X1) )
| ~ spl0_163 ),
inference(avatar_component_clause,[],[f1014]) ).
fof(f1016,plain,
( spl0_43
| spl0_163 ),
inference(avatar_split_clause,[],[f164,f1014,f535]) ).
fof(f1285,plain,
spl0_106,
inference(avatar_split_clause,[],[f1,f788]) ).
fof(f1313,plain,
( $false
| ~ spl0_159 ),
inference(resolution,[],[f999,f14]) ).
fof(f1314,plain,
~ spl0_159,
inference(avatar_contradiction_clause,[],[f1313]) ).
fof(f1347,plain,
( ! [X0] : ~ n0(X0,b)
| spl0_156 ),
inference(resolution,[],[f988,f39]) ).
fof(f1349,plain,
( ! [X0] : ~ p0(X0,X0)
| ~ spl0_43 ),
inference(resolution,[],[f163,f536]) ).
fof(f1350,plain,
( spl0_159
| ~ spl0_43 ),
inference(avatar_split_clause,[],[f1349,f535,f998]) ).
fof(f1362,plain,
( $false
| spl0_156 ),
inference(resolution,[],[f1347,f7]) ).
fof(f1367,plain,
spl0_156,
inference(avatar_contradiction_clause,[],[f1362]) ).
fof(f1372,plain,
( ! [X0] : ~ q0(d,X0)
| spl0_104
| ~ spl0_163 ),
inference(resolution,[],[f1015,f781]) ).
fof(f1374,plain,
( $false
| spl0_104
| ~ spl0_163 ),
inference(resolution,[],[f1372,f29]) ).
fof(f1379,plain,
( spl0_104
| ~ spl0_163 ),
inference(avatar_contradiction_clause,[],[f1374]) ).
fof(f1391,plain,
l1(e,e),
inference(resolution,[],[f40,f3]) ).
fof(f1413,plain,
( $false
| ~ spl0_157 ),
inference(forward_subsumption_resolution,[],[f1391,f992]) ).
fof(f1414,plain,
~ spl0_157,
inference(avatar_contradiction_clause,[],[f1413]) ).
fof(f1460,plain,
( k3(b,b,b)
| ~ spl0_36 ),
inference(resolution,[],[f250,f509]) ).
fof(f1461,plain,
( ! [X0] :
( ~ s0(X0)
| k3(X0,X0,X0) )
| ~ spl0_158 ),
inference(resolution,[],[f250,f995]) ).
fof(f1515,plain,
( k3(d,d,d)
| ~ spl0_106
| ~ spl0_158 ),
inference(resolution,[],[f1461,f789]) ).
fof(f1517,plain,
( spl0_96
| ~ spl0_106
| ~ spl0_158 ),
inference(avatar_split_clause,[],[f1515,f994,f788,f747]) ).
fof(f1866,plain,
( ! [X0] :
( ~ s1(d)
| ~ p4(X0,d,d) )
| ~ spl0_2 ),
inference(resolution,[],[f375,f369]) ).
fof(f1867,plain,
( ! [X0] : ~ p4(X0,d,d)
| ~ spl0_2
| ~ spl0_104 ),
inference(forward_subsumption_resolution,[],[f1866,f780]) ).
fof(f1868,plain,
( ~ k3(d,d,d)
| ~ spl0_2
| ~ spl0_104 ),
inference(resolution,[],[f1867,f325]) ).
fof(f1871,plain,
( $false
| ~ spl0_2
| ~ spl0_96
| ~ spl0_104 ),
inference(forward_subsumption_resolution,[],[f1868,f749]) ).
fof(f1872,plain,
( ~ spl0_2
| ~ spl0_96
| ~ spl0_104 ),
inference(avatar_contradiction_clause,[],[f1871]) ).
fof(f1873,plain,
( ~ k3(b,b,b)
| ~ spl0_1 ),
inference(resolution,[],[f372,f325]) ).
fof(f1876,plain,
( $false
| ~ spl0_1
| ~ spl0_36 ),
inference(forward_subsumption_resolution,[],[f1873,f1460]) ).
fof(f1877,plain,
( ~ spl0_1
| ~ spl0_36 ),
inference(avatar_contradiction_clause,[],[f1876]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f376]) ).
cnf(s72,plain,
( spl0_36
| ~ spl0_156 ),
inference(sat_conversion,[],[f989]) ).
cnf(s73,plain,
( spl0_157
| spl0_158 ),
inference(sat_conversion,[],[f996]) ).
cnf(s76,plain,
( spl0_43
| spl0_163 ),
inference(sat_conversion,[],[f1016]) ).
cnf(s132,plain,
spl0_106,
inference(sat_conversion,[],[f1285]) ).
cnf(s145,plain,
~ spl0_159,
inference(sat_conversion,[],[f1314]) ).
cnf(s160,plain,
( ~ spl0_43
| spl0_159 ),
inference(sat_conversion,[],[f1350]) ).
cnf(s166,plain,
spl0_156,
inference(sat_conversion,[],[f1367]) ).
cnf(s171,plain,
( spl0_104
| ~ spl0_163 ),
inference(sat_conversion,[],[f1379]) ).
cnf(s183,plain,
~ spl0_157,
inference(sat_conversion,[],[f1414]) ).
cnf(s200,plain,
( spl0_96
| ~ spl0_106
| ~ spl0_158 ),
inference(sat_conversion,[],[f1517]) ).
cnf(s241,plain,
( ~ spl0_2
| ~ spl0_96
| ~ spl0_104 ),
inference(sat_conversion,[],[f1872]) ).
cnf(s242,plain,
( ~ spl0_1
| ~ spl0_36 ),
inference(sat_conversion,[],[f1877]) ).
cnf(s247,plain,
~ spl0_43,
inference(rat,[],[s160,s145]) ).
cnf(s303,plain,
spl0_163,
inference(rat,[],[s76,s247]) ).
cnf(s305,plain,
spl0_104,
inference(rat,[],[s171,s303]) ).
cnf(s310,plain,
spl0_158,
inference(rat,[],[s73,s183]) ).
cnf(s311,plain,
spl0_96,
inference(rat,[],[s200,s132,s310]) ).
cnf(s312,plain,
~ spl0_2,
inference(rat,[],[s241,s305,s311]) ).
cnf(s313,plain,
spl0_36,
inference(rat,[],[s72,s166]) ).
cnf(s314,plain,
~ spl0_1,
inference(rat,[],[s242,s313]) ).
cnf(s360,plain,
$false,
inference(rat,[],[s1,s312,s314]) ).
fof(f1878,plain,
$false,
inference(avatar_sat_refutation,[],[s360]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN157-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.10 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.28/0.31 % Computer : n006.cluster.edu
% 0.28/0.31 % Model : x86_64 x86_64
% 0.28/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.28/0.31 % Memory : 8046.5625MB
% 0.28/0.31 % OS : Linux 6.8.0-71-generic
% 0.28/0.31 % CPULimit : 300
% 0.28/0.31 % WCLimit : 300
% 0.28/0.31 % DateTime : Mon Sep 28 15:36:55 UTC 2026
% 0.28/0.31 % CPUTime :
% 0.28/0.31 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.28/0.35 Running first-order model finding
% 0.28/0.35 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.33/0.43 % (4063804)Will run a generic schedule for satisfiability detection.
% 0.33/0.43 % (4063813)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1275184633:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.33/0.43 % (4063810)% WARNING: option uhcvi not known.
% 0.33/0.43 % (4063810)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=194190750:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.33/0.43 % (4063809)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1233878640_2999 on theBenchmark for (2999ds/0Mi)
% 0.33/0.43 % (4063811)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4279001467:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.33/0.43 % (4063812)dis+10_1_sil=32000:sp=arity:random_seed=1826293450:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.33/0.43 % (4063814)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=84185991:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.33/0.43 % (4063815)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4223704655:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.33/0.43 % (4063813) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4063804-4063813"...
% 0.33/0.43 % (4063813)...printing done.
% 0.33/0.43 % (4063813)Refutation found. Thanks to Tanya!
% 0.33/0.43 % SZS status Unsatisfiable for theBenchmark
% 0.33/0.43 % SZS output start Proof for theBenchmark
% See solution above
% 0.33/0.43 % (4063813)------------------------------
% 0.33/0.43 % (4063813)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.33/0.43 % (4063813)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.33/0.43 % (4063813)CaDiCaL version: 2.1.3
% 0.33/0.43 % (4063813)Termination reason: Refutation
% 0.33/0.43 % (4063813)Time elapsed: 0.024 s
% 0.33/0.43 % (4063813)Peak memory usage: 13 MB
% 0.33/0.43 % (4063813)Instructions burned: 43 (million)
% 0.33/0.43 % (4063804)Success in time 0.068 s
% 0.33/0.43 % Vampire exiting
%------------------------------------------------------------------------------