%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN250-1 : 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 : n014.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 0.19s 0.30s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 22
% Syntax : Number of formulae : 77 ( 27 unt; 10 def)
% Number of atoms : 169 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 184 ( 92 ~; 82 |; 0 &)
% ( 10 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 16 ( 15 usr; 11 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 29 ( 0 sgn 29 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9,axiom,
r0(b),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_9) ).
fof(f12,axiom,
! [X0] : m0(a,X0,a),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_12) ).
fof(f13,axiom,
r0(e),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_13) ).
fof(f19,axiom,
! [X0,X1] : m0(X0,d,X1),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_19) ).
fof(f21,axiom,
q0(b,e),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_21) ).
fof(f24,axiom,
l0(c),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_24) ).
fof(f36,axiom,
q0(a,b),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_36) ).
fof(f43,axiom,
! [X0,X1] :
( ~ m0(X1,X1,X0)
| m1(X0,X1,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_005) ).
fof(f54,axiom,
! [X2,X3,X0,X1] :
( ~ m1(X2,X1,X0)
| m1(X0,X1,X1)
| ~ m1(X2,X3,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_016) ).
fof(f62,axiom,
! [X2,X0,X1] :
( m1(X0,a,X1)
| ~ m0(a,X2,a)
| ~ q0(X0,X1)
| ~ m1(X1,c,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_024) ).
fof(f73,axiom,
! [X0,X1] :
( ~ l0(X1)
| ~ r0(X0)
| m1(X0,X1,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_035) ).
fof(f369,negated_conjecture,
~ m1(e,a,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f703,definition,
( spl0_85
<=> r0(b) ),
introduced(definition,[new_symbols(definition,[spl0_85])],[avatar_definition]) ).
fof(f704,plain,
( r0(b)
| ~ spl0_85 ),
inference(avatar_component_clause,[],[f703]) ).
fof(f776,definition,
( spl0_103
<=> r0(e) ),
introduced(definition,[new_symbols(definition,[spl0_103])],[avatar_definition]) ).
fof(f777,plain,
( r0(e)
| ~ spl0_103 ),
inference(avatar_component_clause,[],[f776]) ).
fof(f889,definition,
( spl0_131
<=> l0(c) ),
introduced(definition,[new_symbols(definition,[spl0_131])],[avatar_definition]) ).
fof(f890,plain,
( l0(c)
| ~ spl0_131 ),
inference(avatar_component_clause,[],[f889]) ).
fof(f1100,definition,
( spl0_184
<=> m1(b,a,e) ),
introduced(definition,[new_symbols(definition,[spl0_184])],[avatar_definition]) ).
fof(f1101,plain,
( m1(b,a,e)
| ~ spl0_184 ),
inference(avatar_component_clause,[],[f1100]) ).
fof(f1102,plain,
( ~ m1(b,a,e)
| spl0_184 ),
inference(avatar_component_clause,[],[f1100]) ).
fof(f1331,definition,
( spl0_240
<=> q0(b,e) ),
introduced(definition,[new_symbols(definition,[spl0_240])],[avatar_definition]) ).
fof(f1332,plain,
( q0(b,e)
| ~ spl0_240 ),
inference(avatar_component_clause,[],[f1331]) ).
fof(f1439,definition,
( spl0_266
<=> ! [X2] : ~ m0(a,X2,a) ),
introduced(definition,[new_symbols(definition,[spl0_266])],[avatar_definition]) ).
fof(f1440,plain,
( ! [X2] : ~ m0(a,X2,a)
| ~ spl0_266 ),
inference(avatar_component_clause,[],[f1439]) ).
fof(f1442,definition,
( spl0_267
<=> ! [X0,X1] :
( m1(X0,a,X1)
| ~ m1(X1,c,X1)
| ~ q0(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_267])],[avatar_definition]) ).
fof(f1443,plain,
( ! [X0,X1] :
( ~ q0(X0,X1)
| ~ m1(X1,c,X1)
| m1(X0,a,X1) )
| ~ spl0_267 ),
inference(avatar_component_clause,[],[f1442]) ).
fof(f1444,plain,
( spl0_266
| spl0_267 ),
inference(avatar_split_clause,[],[f62,f1442,f1439]) ).
fof(f1492,plain,
spl0_131,
inference(avatar_split_clause,[],[f24,f889]) ).
fof(f1493,plain,
spl0_240,
inference(avatar_split_clause,[],[f21,f1331]) ).
fof(f1496,plain,
spl0_103,
inference(avatar_split_clause,[],[f13,f776]) ).
fof(f1498,plain,
spl0_85,
inference(avatar_split_clause,[],[f9,f703]) ).
fof(f1517,plain,
( $false
| ~ spl0_266 ),
inference(forward_subsumption_resolution,[],[f1440,f12]) ).
fof(f1518,plain,
~ spl0_266,
inference(avatar_contradiction_clause,[],[f1517]) ).
fof(f1955,plain,
! [X0] : m1(X0,d,X0),
inference(resolution,[],[f43,f19]) ).
fof(f1976,plain,
( ! [X0] :
( ~ r0(X0)
| m1(X0,c,X0) )
| ~ spl0_131 ),
inference(resolution,[],[f73,f890]) ).
fof(f2528,plain,
( m1(b,c,b)
| ~ spl0_85
| ~ spl0_131 ),
inference(resolution,[],[f1976,f704]) ).
fof(f2529,plain,
( m1(e,c,e)
| ~ spl0_103
| ~ spl0_131 ),
inference(resolution,[],[f1976,f777]) ).
fof(f2677,plain,
( ~ m1(b,c,b)
| m1(a,a,b)
| ~ spl0_267 ),
inference(resolution,[],[f1443,f36]) ).
fof(f2679,plain,
( ~ m1(e,c,e)
| m1(b,a,e)
| ~ spl0_240
| ~ spl0_267 ),
inference(resolution,[],[f1443,f1332]) ).
fof(f2680,plain,
( m1(b,a,e)
| ~ spl0_103
| ~ spl0_131
| ~ spl0_240
| ~ spl0_267 ),
inference(forward_subsumption_resolution,[],[f2679,f2529]) ).
fof(f2681,plain,
( m1(a,a,b)
| ~ spl0_85
| ~ spl0_131
| ~ spl0_267 ),
inference(forward_subsumption_resolution,[],[f2677,f2528]) ).
fof(f2692,plain,
( $false
| ~ spl0_103
| ~ spl0_131
| spl0_184
| ~ spl0_240
| ~ spl0_267 ),
inference(forward_subsumption_resolution,[],[f2680,f1102]) ).
fof(f2693,plain,
( ~ spl0_103
| ~ spl0_131
| spl0_184
| ~ spl0_240
| ~ spl0_267 ),
inference(avatar_contradiction_clause,[],[f2692]) ).
fof(f2711,plain,
( ! [X0] :
( m1(b,a,a)
| ~ m1(a,X0,a) )
| ~ spl0_85
| ~ spl0_131
| ~ spl0_267 ),
inference(resolution,[],[f54,f2681]) ).
fof(f2716,plain,
( ! [X0] :
( m1(e,a,a)
| ~ m1(b,X0,a) )
| ~ spl0_184 ),
inference(resolution,[],[f54,f1101]) ).
fof(f2736,plain,
( ! [X0] : ~ m1(b,X0,a)
| ~ spl0_184 ),
inference(forward_subsumption_resolution,[],[f2716,f369]) ).
fof(f2746,definition,
( spl0_311
<=> ! [X0] : ~ m1(b,X0,a) ),
introduced(definition,[new_symbols(definition,[spl0_311])],[avatar_definition]) ).
fof(f2747,plain,
( ! [X0] : ~ m1(b,X0,a)
| ~ spl0_311 ),
inference(avatar_component_clause,[],[f2746]) ).
fof(f2749,definition,
( spl0_312
<=> m1(b,a,a) ),
introduced(definition,[new_symbols(definition,[spl0_312])],[avatar_definition]) ).
fof(f2751,plain,
( m1(b,a,a)
| ~ spl0_312 ),
inference(avatar_component_clause,[],[f2749]) ).
fof(f2754,definition,
( spl0_313
<=> ! [X0] : ~ m1(a,X0,a) ),
introduced(definition,[new_symbols(definition,[spl0_313])],[avatar_definition]) ).
fof(f2755,plain,
( ! [X0] : ~ m1(a,X0,a)
| ~ spl0_313 ),
inference(avatar_component_clause,[],[f2754]) ).
fof(f2756,plain,
( spl0_313
| spl0_312
| ~ spl0_85
| ~ spl0_131
| ~ spl0_267 ),
inference(avatar_split_clause,[],[f2711,f1442,f889,f703,f2749,f2754]) ).
fof(f2790,plain,
( spl0_311
| ~ spl0_184 ),
inference(avatar_split_clause,[],[f2736,f1100,f2746]) ).
fof(f2791,plain,
( $false
| ~ spl0_311
| ~ spl0_312 ),
inference(forward_subsumption_resolution,[],[f2751,f2747]) ).
fof(f2792,plain,
( ~ spl0_311
| ~ spl0_312 ),
inference(avatar_contradiction_clause,[],[f2791]) ).
fof(f2933,plain,
( $false
| ~ spl0_313 ),
inference(resolution,[],[f2755,f1955]) ).
fof(f2936,plain,
~ spl0_313,
inference(avatar_contradiction_clause,[],[f2933]) ).
cnf(s133,plain,
( spl0_266
| spl0_267 ),
inference(sat_conversion,[],[f1444]) ).
cnf(s147,plain,
spl0_131,
inference(sat_conversion,[],[f1492]) ).
cnf(s148,plain,
spl0_240,
inference(sat_conversion,[],[f1493]) ).
cnf(s151,plain,
spl0_103,
inference(sat_conversion,[],[f1496]) ).
cnf(s153,plain,
spl0_85,
inference(sat_conversion,[],[f1498]) ).
cnf(s164,plain,
~ spl0_266,
inference(sat_conversion,[],[f1518]) ).
cnf(s313,plain,
( ~ spl0_103
| ~ spl0_131
| spl0_184
| ~ spl0_240
| ~ spl0_267 ),
inference(sat_conversion,[],[f2693]) ).
cnf(s319,plain,
( ~ spl0_85
| ~ spl0_131
| ~ spl0_267
| spl0_312
| spl0_313 ),
inference(sat_conversion,[],[f2756]) ).
cnf(s324,plain,
( ~ spl0_184
| spl0_311 ),
inference(sat_conversion,[],[f2790]) ).
cnf(s325,plain,
( ~ spl0_311
| ~ spl0_312 ),
inference(sat_conversion,[],[f2792]) ).
cnf(s335,plain,
~ spl0_313,
inference(sat_conversion,[],[f2936]) ).
cnf(s339,plain,
( ~ spl0_85
| ~ spl0_131
| ~ spl0_267
| spl0_312 ),
inference(rat,[],[s319,s335]) ).
cnf(s363,plain,
spl0_267,
inference(rat,[],[s133,s164]) ).
cnf(s365,plain,
spl0_312,
inference(rat,[],[s339,s147,s153,s363]) ).
cnf(s366,plain,
spl0_184,
inference(rat,[],[s313,s147,s148,s151,s363]) ).
cnf(s367,plain,
~ spl0_311,
inference(rat,[],[s325,s365]) ).
cnf(s368,plain,
$false,
inference(rat,[],[s324,s367,s366]) ).
fof(f2940,plain,
$false,
inference(avatar_sat_refutation,[],[s368]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN250-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19 % Computer : n014.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 15:39:01 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22 Running first-order model finding
% 0.08/0.22 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
% 0.19/0.30 % (1865512)Will run a generic schedule for satisfiability detection.
% 0.19/0.30 % (1865535)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=239136557:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.30 % (1865531)% WARNING: option uhcvi not known.
% 0.19/0.30 % (1865530)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=681881701_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.30 % (1865532)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3389279595:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.30 % (1865531)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1194063789:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.30 % (1865533)dis+10_1_sil=32000:sp=arity:random_seed=2105849427:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.30 % (1865534)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1304217584:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.30 % (1865536)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=903622834:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.30 % (1865535) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1865512-1865535"...
% 0.19/0.30 % (1865535)...printing done.
% 0.19/0.30 % (1865535)Refutation found. Thanks to Tanya!
% 0.19/0.30 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.30 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.30 % (1865535)------------------------------
% 0.19/0.30 % (1865535)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.30 % (1865535)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.30 % (1865535)CaDiCaL version: 2.1.3
% 0.19/0.30 % (1865535)Termination reason: Refutation
% 0.19/0.30 % (1865535)Time elapsed: 0.015 s
% 0.19/0.30 % (1865535)Peak memory usage: 13 MB
% 0.19/0.30 % (1865535)Instructions burned: 39 (million)
% 0.19/0.30 % (1865512)Success in time 0.063 s
% 0.19/0.30 % Vampire exiting
%------------------------------------------------------------------------------