%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN253-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n026.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 02:07:07 PM UTC 2026
% Result : Unsatisfiable 0.31s 0.39s
% Output : Refutation 0.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 35
% Syntax : Number of formulae : 108 ( 33 unt; 13 def)
% Number of atoms : 245 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 271 ( 134 ~; 124 |; 0 &)
% ( 13 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 30 ( 29 usr; 14 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 93 ( 0 sgn 93 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
s0(b),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_5) ).
fof(f14,axiom,
! [X0] : p0(b,X0),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_14) ).
fof(f17,axiom,
! [X0] : q0(X0,d),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_17) ).
fof(f19,axiom,
! [X0,X1] : m0(X0,d,X1),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_19) ).
fof(f20,axiom,
l0(a),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_20) ).
fof(f32,axiom,
k0(b),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_32) ).
fof(f37,axiom,
n0(b,a),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_37) ).
fof(f38,axiom,
m0(b,a,a),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_38) ).
fof(f40,axiom,
! [X0,X1] :
( ~ n0(X1,X0)
| l1(X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_002) ).
fof(f88,axiom,
! [X0,X1] :
( n1(X0,X1,X0)
| ~ s0(b)
| ~ l0(X0)
| ~ p0(b,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_050) ).
fof(f92,axiom,
! [X2,X0,X1] :
( ~ n1(X0,X1,X0)
| ~ l0(X2)
| ~ l1(X2,X0)
| n1(X0,X1,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_054) ).
fof(f123,axiom,
! [X0,X1] :
( ~ p0(X1,X0)
| p1(X0,X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_085) ).
fof(f163,axiom,
! [X0] :
( ~ p0(X0,X0)
| s1(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_125) ).
fof(f164,axiom,
! [X2,X0,X1] :
( s1(X0)
| ~ q0(X0,X1)
| ~ s1(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_126) ).
fof(f171,axiom,
! [X2,X3,X0,X1] :
( l2(X0,X0)
| ~ p0(X1,X1)
| ~ s1(X2)
| ~ m0(X3,X2,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_133) ).
fof(f215,axiom,
! [X0,X1] :
( q2(X0,X1,X1)
| ~ k0(X1)
| ~ p1(X0,X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_177) ).
fof(f219,axiom,
! [X0] :
( q2(X0,X0,X0)
| ~ p1(X0,X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_181) ).
fof(f220,axiom,
! [X2,X0,X1] :
( ~ q2(X1,X2,X0)
| ~ p1(X0,X0,X2)
| ~ n1(X1,X0,X2)
| q2(X0,X1,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_182) ).
fof(f227,axiom,
! [X0] :
( s2(X0)
| ~ q2(b,X0,b)
| ~ s1(b) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_189) ).
fof(f311,axiom,
! [X2,X3,X0,X1] :
( ~ q2(X2,X0,X2)
| s3(X0,X1)
| ~ s2(X0)
| ~ m0(X2,X3,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_273) ).
fof(f317,axiom,
! [X2,X0,X1] :
( ~ s3(a,X0)
| ~ l2(X2,X1)
| m4(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_279) ).
fof(f369,negated_conjecture,
! [X0] : ~ m4(e,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f602,definition,
( spl0_60
<=> ! [X1] : ~ s1(X1) ),
introduced(definition,[new_symbols(definition,[spl0_60])],[avatar_definition]) ).
fof(f603,plain,
( ! [X1] : ~ s1(X1)
| ~ spl0_60 ),
inference(avatar_component_clause,[],[f602]) ).
fof(f709,definition,
( spl0_87
<=> l2(a,a) ),
introduced(definition,[new_symbols(definition,[spl0_87])],[avatar_definition]) ).
fof(f710,plain,
( l2(a,a)
| ~ spl0_87 ),
inference(avatar_component_clause,[],[f709]) ).
fof(f885,definition,
( spl0_130
<=> s1(b) ),
introduced(definition,[new_symbols(definition,[spl0_130])],[avatar_definition]) ).
fof(f889,definition,
( spl0_131
<=> ! [X0] :
( s2(X0)
| ~ q2(b,X0,b) ) ),
introduced(definition,[new_symbols(definition,[spl0_131])],[avatar_definition]) ).
fof(f890,plain,
( ! [X0] :
( ~ q2(b,X0,b)
| s2(X0) )
| ~ spl0_131 ),
inference(avatar_component_clause,[],[f889]) ).
fof(f891,plain,
( ~ spl0_130
| spl0_131 ),
inference(avatar_split_clause,[],[f227,f889,f885]) ).
fof(f1099,definition,
( spl0_184
<=> k0(b) ),
introduced(definition,[new_symbols(definition,[spl0_184])],[avatar_definition]) ).
fof(f1100,plain,
( k0(b)
| ~ spl0_184 ),
inference(avatar_component_clause,[],[f1099]) ).
fof(f1141,definition,
( spl0_194
<=> ! [X1] : ~ p0(X1,X1) ),
introduced(definition,[new_symbols(definition,[spl0_194])],[avatar_definition]) ).
fof(f1142,plain,
( ! [X1] : ~ p0(X1,X1)
| ~ spl0_194 ),
inference(avatar_component_clause,[],[f1141]) ).
fof(f1144,definition,
( spl0_195
<=> ! [X2,X0,X3] :
( l2(X0,X0)
| ~ s1(X2)
| ~ m0(X3,X2,X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_195])],[avatar_definition]) ).
fof(f1145,plain,
( ! [X2,X3,X0] :
( l2(X0,X0)
| ~ s1(X2)
| ~ m0(X3,X2,X0) )
| ~ spl0_195 ),
inference(avatar_component_clause,[],[f1144]) ).
fof(f1146,plain,
( spl0_194
| spl0_195 ),
inference(avatar_split_clause,[],[f171,f1144,f1141]) ).
fof(f1157,definition,
( spl0_198
<=> ! [X0,X1] :
( s1(X0)
| ~ q0(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_198])],[avatar_definition]) ).
fof(f1158,plain,
( ! [X0,X1] :
( ~ q0(X0,X1)
| s1(X0) )
| ~ spl0_198 ),
inference(avatar_component_clause,[],[f1157]) ).
fof(f1159,plain,
( spl0_60
| spl0_198 ),
inference(avatar_split_clause,[],[f164,f1157,f602]) ).
fof(f1170,definition,
( spl0_201
<=> s0(b) ),
introduced(definition,[new_symbols(definition,[spl0_201])],[avatar_definition]) ).
fof(f1276,definition,
( spl0_227
<=> l0(a) ),
introduced(definition,[new_symbols(definition,[spl0_227])],[avatar_definition]) ).
fof(f1277,plain,
( l0(a)
| ~ spl0_227 ),
inference(avatar_component_clause,[],[f1276]) ).
fof(f1419,definition,
( spl0_261
<=> ! [X0,X1] :
( n1(X0,X1,X0)
| ~ p0(b,X1)
| ~ l0(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_261])],[avatar_definition]) ).
fof(f1420,plain,
( ! [X0,X1] :
( n1(X0,X1,X0)
| ~ p0(b,X1)
| ~ l0(X0) )
| ~ spl0_261 ),
inference(avatar_component_clause,[],[f1419]) ).
fof(f1421,plain,
( ~ spl0_201
| spl0_261 ),
inference(avatar_split_clause,[],[f88,f1419,f1170]) ).
fof(f1555,plain,
spl0_184,
inference(avatar_split_clause,[],[f32,f1099]) ).
fof(f1560,plain,
spl0_227,
inference(avatar_split_clause,[],[f20,f1276]) ).
fof(f1567,plain,
spl0_201,
inference(avatar_split_clause,[],[f5,f1170]) ).
fof(f1577,plain,
( $false
| ~ spl0_194 ),
inference(resolution,[],[f1142,f14]) ).
fof(f1578,plain,
~ spl0_194,
inference(avatar_contradiction_clause,[],[f1577]) ).
fof(f1651,plain,
( ! [X0] : ~ p0(X0,X0)
| ~ spl0_60 ),
inference(forward_subsumption_resolution,[],[f163,f603]) ).
fof(f1652,plain,
( spl0_194
| ~ spl0_60 ),
inference(avatar_split_clause,[],[f1651,f602,f1141]) ).
fof(f1654,plain,
s1(b),
inference(resolution,[],[f163,f14]) ).
fof(f1658,plain,
spl0_130,
inference(avatar_split_clause,[],[f1654,f885]) ).
fof(f1660,plain,
( ! [X0] : s1(X0)
| ~ spl0_198 ),
inference(resolution,[],[f1158,f17]) ).
fof(f1718,plain,
l1(a,a),
inference(resolution,[],[f40,f37]) ).
fof(f1826,plain,
( ! [X2,X3,X0] :
( ~ m0(X3,X2,X0)
| l2(X0,X0) )
| ~ spl0_195
| ~ spl0_198 ),
inference(forward_subsumption_resolution,[],[f1145,f1660]) ).
fof(f1853,plain,
! [X0] : p1(X0,X0,X0),
inference(resolution,[],[f123,f14]) ).
fof(f1978,plain,
( l2(a,a)
| ~ spl0_195
| ~ spl0_198 ),
inference(resolution,[],[f1826,f38]) ).
fof(f1989,plain,
( spl0_87
| ~ spl0_195
| ~ spl0_198 ),
inference(avatar_split_clause,[],[f1978,f1157,f1144,f709]) ).
fof(f2086,plain,
! [X0] : q2(X0,X0,X0),
inference(forward_subsumption_resolution,[],[f219,f1853]) ).
fof(f2462,plain,
( ! [X0,X1] :
( n1(X0,X1,X0)
| ~ l0(X0) )
| ~ spl0_261 ),
inference(forward_subsumption_resolution,[],[f1420,f14]) ).
fof(f2527,plain,
! [X0,X1] :
( q2(X0,X1,X1)
| ~ k0(X1) ),
inference(forward_subsumption_resolution,[],[f215,f1853]) ).
fof(f3131,plain,
( ! [X2,X0,X1] :
( ~ l1(X0,X1)
| ~ l0(X0)
| n1(X1,X2,X2)
| ~ l0(X1) )
| ~ spl0_261 ),
inference(resolution,[],[f92,f2462]) ).
fof(f3222,plain,
! [X2,X0,X1] :
( ~ m0(X0,X2,X1)
| ~ s2(X0)
| s3(X0,X1) ),
inference(resolution,[],[f311,f2086]) ).
fof(f3401,plain,
! [X0,X1] :
( ~ p1(X0,X0,X0)
| ~ n1(X1,X0,X0)
| q2(X0,X1,X0)
| ~ k0(X0) ),
inference(resolution,[],[f220,f2527]) ).
fof(f3416,plain,
! [X0,X1] :
( ~ n1(X1,X0,X0)
| q2(X0,X1,X0)
| ~ k0(X0) ),
inference(forward_subsumption_resolution,[],[f3401,f1853]) ).
fof(f3489,definition,
( spl0_400
<=> s2(a) ),
introduced(definition,[new_symbols(definition,[spl0_400])],[avatar_definition]) ).
fof(f4436,plain,
! [X0,X1] :
( s3(X0,X1)
| ~ s2(X0) ),
inference(resolution,[],[f3222,f19]) ).
fof(f4662,plain,
( ! [X0] :
( ~ l0(a)
| n1(a,X0,X0)
| ~ l0(a) )
| ~ spl0_261 ),
inference(resolution,[],[f3131,f1718]) ).
fof(f4668,plain,
( ! [X0] :
( ~ l0(a)
| n1(a,X0,X0) )
| ~ spl0_261 ),
inference(duplicate_literal_removal,[],[f4662]) ).
fof(f4673,plain,
( ! [X0] : n1(a,X0,X0)
| ~ spl0_227
| ~ spl0_261 ),
inference(forward_subsumption_resolution,[],[f4668,f1277]) ).
fof(f4686,plain,
( ! [X0] :
( q2(X0,a,X0)
| ~ k0(X0) )
| ~ spl0_227
| ~ spl0_261 ),
inference(resolution,[],[f4673,f3416]) ).
fof(f4954,plain,
! [X2,X0,X1] :
( ~ s2(a)
| ~ l2(X0,X1)
| m4(X2,X1) ),
inference(resolution,[],[f4436,f317]) ).
fof(f5253,plain,
( ~ k0(b)
| s2(a)
| ~ spl0_131
| ~ spl0_227
| ~ spl0_261 ),
inference(resolution,[],[f4686,f890]) ).
fof(f5254,plain,
( s2(a)
| ~ spl0_131
| ~ spl0_184
| ~ spl0_227
| ~ spl0_261 ),
inference(forward_subsumption_resolution,[],[f5253,f1100]) ).
fof(f5258,definition,
( spl0_477
<=> ! [X2,X0,X1] :
( ~ l2(X0,X1)
| m4(X2,X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_477])],[avatar_definition]) ).
fof(f5259,plain,
( ! [X2,X0,X1] :
( ~ l2(X0,X1)
| m4(X2,X1) )
| ~ spl0_477 ),
inference(avatar_component_clause,[],[f5258]) ).
fof(f5260,plain,
( spl0_477
| ~ spl0_400 ),
inference(avatar_split_clause,[],[f4954,f3489,f5258]) ).
fof(f5261,plain,
( spl0_400
| ~ spl0_131
| ~ spl0_184
| ~ spl0_227
| ~ spl0_261 ),
inference(avatar_split_clause,[],[f5254,f1419,f1276,f1099,f889,f3489]) ).
fof(f5327,plain,
( ! [X0] : m4(X0,a)
| ~ spl0_87
| ~ spl0_477 ),
inference(resolution,[],[f5259,f710]) ).
fof(f5340,plain,
( $false
| ~ spl0_87
| ~ spl0_477 ),
inference(resolution,[],[f5327,f369]) ).
fof(f5343,plain,
( ~ spl0_87
| ~ spl0_477 ),
inference(avatar_contradiction_clause,[],[f5340]) ).
cnf(s60,plain,
( ~ spl0_130
| spl0_131 ),
inference(sat_conversion,[],[f891]) ).
cnf(s89,plain,
( spl0_194
| spl0_195 ),
inference(sat_conversion,[],[f1146]) ).
cnf(s91,plain,
( spl0_60
| spl0_198 ),
inference(sat_conversion,[],[f1159]) ).
cnf(s131,plain,
( ~ spl0_201
| spl0_261 ),
inference(sat_conversion,[],[f1421]) ).
cnf(s155,plain,
spl0_184,
inference(sat_conversion,[],[f1555]) ).
cnf(s160,plain,
spl0_227,
inference(sat_conversion,[],[f1560]) ).
cnf(s167,plain,
spl0_201,
inference(sat_conversion,[],[f1567]) ).
cnf(s173,plain,
~ spl0_194,
inference(sat_conversion,[],[f1578]) ).
cnf(s209,plain,
( ~ spl0_60
| spl0_194 ),
inference(sat_conversion,[],[f1652]) ).
cnf(s211,plain,
spl0_130,
inference(sat_conversion,[],[f1658]) ).
cnf(s296,plain,
( spl0_87
| ~ spl0_195
| ~ spl0_198 ),
inference(sat_conversion,[],[f1989]) ).
cnf(s579,plain,
( ~ spl0_400
| spl0_477 ),
inference(sat_conversion,[],[f5260]) ).
cnf(s580,plain,
( ~ spl0_131
| ~ spl0_184
| ~ spl0_227
| ~ spl0_261
| spl0_400 ),
inference(sat_conversion,[],[f5261]) ).
cnf(s587,plain,
( ~ spl0_87
| ~ spl0_477 ),
inference(sat_conversion,[],[f5343]) ).
cnf(s607,plain,
~ spl0_60,
inference(rat,[],[s209,s173]) ).
cnf(s670,plain,
spl0_261,
inference(rat,[],[s131,s167]) ).
cnf(s722,plain,
spl0_198,
inference(rat,[],[s91,s607]) ).
cnf(s730,plain,
spl0_195,
inference(rat,[],[s89,s173]) ).
cnf(s734,plain,
spl0_87,
inference(rat,[],[s296,s722,s730]) ).
cnf(s737,plain,
~ spl0_477,
inference(rat,[],[s587,s734]) ).
cnf(s738,plain,
~ spl0_400,
inference(rat,[],[s579,s737]) ).
cnf(s739,plain,
~ spl0_131,
inference(rat,[],[s580,s670,s155,s160,s738]) ).
cnf(s770,plain,
$false,
inference(rat,[],[s60,s739,s211]) ).
fof(f5344,plain,
$false,
inference(avatar_sat_refutation,[],[s770]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN253-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.09 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.28 % Computer : n026.cluster.edu
% 0.12/0.28 % Model : x86_64 x86_64
% 0.12/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.28 % Memory : 8046.5625MB
% 0.12/0.28 % OS : Linux 6.8.0-71-generic
% 0.12/0.28 % CPULimit : 300
% 0.12/0.28 % WCLimit : 300
% 0.12/0.28 % DateTime : Mon Sep 28 15:41:42 UTC 2026
% 0.12/0.28 % CPUTime :
% 0.12/0.28 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.29/0.31 Running first-order model finding
% 0.29/0.31 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
% 0.31/0.39 % (3957355)Will run a generic schedule for satisfiability detection.
% 0.31/0.39 % (3957363)dis+10_1_sil=32000:sp=arity:random_seed=4078051505:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.31/0.39 % (3957361)% WARNING: option uhcvi not known.
% 0.31/0.39 % (3957360)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1105064667_2999 on theBenchmark for (2999ds/0Mi)
% 0.31/0.39 % (3957361)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=727064146:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.31/0.39 % (3957362)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=110709031:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.31/0.39 % (3957364)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1548777961:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.31/0.39 % (3957365)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1670849116:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.31/0.39 % (3957366)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3868180061:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.31/0.39 % Detected minimum model sizes of [1]
% 0.31/0.39 % Detected maximum model sizes of [5]
% 0.31/0.39 % TRYING [1]
% 0.31/0.39 % TRYING [2]
% 0.31/0.39 % (3957363) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3957355-3957363"...
% 0.31/0.39 % TRYING [3]
% 0.31/0.39 % (3957363)...printing done.
% 0.31/0.39 % (3957363)Refutation found. Thanks to Tanya!
% 0.31/0.39 % SZS status Unsatisfiable for theBenchmark
% 0.31/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.31/0.39 % (3957363)------------------------------
% 0.31/0.39 % (3957363)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.31/0.39 % (3957363)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.31/0.39 % (3957363)CaDiCaL version: 2.1.3
% 0.31/0.39 % (3957363)Termination reason: Refutation
% 0.31/0.39 % (3957363)Time elapsed: 0.035 s
% 0.31/0.39 % (3957363)Peak memory usage: 14 MB
% 0.31/0.39 % (3957363)Instructions burned: 94 (million)
% 0.31/0.39 % (3957355)Success in time 0.069 s
% 0.31/0.39 % Vampire exiting
%------------------------------------------------------------------------------