%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN124-1 : 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 : n005.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 02:06:49 PM UTC 2026
% Result : Unsatisfiable 0.21s 0.29s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 14
% Syntax : Number of formulae : 41 ( 14 unt; 6 def)
% Number of atoms : 72 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 60 ( 29 ~; 25 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 14 ( 13 usr; 7 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 8 ( 0 sgn 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f15,axiom,
n0(a,b),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_15) ).
fof(f20,axiom,
l0(a),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_20) ).
fof(f39,axiom,
! [X0,X1] :
( ~ n0(X1,X0)
| k1(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_001) ).
fof(f126,axiom,
( p1(a,a,a)
| ~ l0(a) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_088) ).
fof(f174,axiom,
( m2(b)
| ~ k1(b) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_136) ).
fof(f175,axiom,
! [X2,X0,X1] :
( ~ p1(X1,X2,X0)
| n2(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_137) ).
fof(f255,axiom,
! [X0] :
( l3(X0,X0)
| ~ n2(X0)
| ~ m2(b) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_217) ).
fof(f369,negated_conjecture,
~ l3(a,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f568,definition,
( spl0_51
<=> m2(b) ),
introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).
fof(f770,definition,
( spl0_102
<=> ! [X0] :
( l3(X0,X0)
| ~ n2(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_102])],[avatar_definition]) ).
fof(f771,plain,
( ! [X0] :
( l3(X0,X0)
| ~ n2(X0) )
| ~ spl0_102 ),
inference(avatar_component_clause,[],[f770]) ).
fof(f772,plain,
( ~ spl0_51
| spl0_102 ),
inference(avatar_split_clause,[],[f255,f770,f568]) ).
fof(f1124,definition,
( spl0_190
<=> n2(a) ),
introduced(definition,[new_symbols(definition,[spl0_190])],[avatar_definition]) ).
fof(f1125,plain,
( ~ n2(a)
| spl0_190 ),
inference(avatar_component_clause,[],[f1124]) ).
fof(f1129,definition,
( spl0_191
<=> k1(b) ),
introduced(definition,[new_symbols(definition,[spl0_191])],[avatar_definition]) ).
fof(f1132,plain,
( ~ spl0_191
| spl0_51 ),
inference(avatar_split_clause,[],[f174,f568,f1129]) ).
fof(f1276,definition,
( spl0_227
<=> l0(a) ),
introduced(definition,[new_symbols(definition,[spl0_227])],[avatar_definition]) ).
fof(f1280,definition,
( spl0_228
<=> p1(a,a,a) ),
introduced(definition,[new_symbols(definition,[spl0_228])],[avatar_definition]) ).
fof(f1282,plain,
( p1(a,a,a)
| ~ spl0_228 ),
inference(avatar_component_clause,[],[f1280]) ).
fof(f1283,plain,
( ~ spl0_227
| spl0_228 ),
inference(avatar_split_clause,[],[f126,f1280,f1276]) ).
fof(f1560,plain,
spl0_227,
inference(avatar_split_clause,[],[f20,f1276]) ).
fof(f1626,plain,
k1(b),
inference(resolution,[],[f39,f15]) ).
fof(f1647,plain,
spl0_191,
inference(avatar_split_clause,[],[f1626,f1129]) ).
fof(f1750,plain,
( ~ n2(a)
| ~ spl0_102 ),
inference(resolution,[],[f771,f369]) ).
fof(f1751,plain,
( ~ spl0_190
| ~ spl0_102 ),
inference(avatar_split_clause,[],[f1750,f770,f1124]) ).
fof(f1753,plain,
( n2(a)
| ~ spl0_228 ),
inference(resolution,[],[f175,f1282]) ).
fof(f1757,plain,
( $false
| spl0_190
| ~ spl0_228 ),
inference(forward_subsumption_resolution,[],[f1753,f1125]) ).
fof(f1758,plain,
( spl0_190
| ~ spl0_228 ),
inference(avatar_contradiction_clause,[],[f1757]) ).
cnf(s45,plain,
( ~ spl0_51
| spl0_102 ),
inference(sat_conversion,[],[f772]) ).
cnf(s87,plain,
( spl0_51
| ~ spl0_191 ),
inference(sat_conversion,[],[f1132]) ).
cnf(s111,plain,
( ~ spl0_227
| spl0_228 ),
inference(sat_conversion,[],[f1283]) ).
cnf(s160,plain,
spl0_227,
inference(sat_conversion,[],[f1560]) ).
cnf(s203,plain,
spl0_191,
inference(sat_conversion,[],[f1647]) ).
cnf(s247,plain,
( ~ spl0_102
| ~ spl0_190 ),
inference(sat_conversion,[],[f1751]) ).
cnf(s249,plain,
( spl0_190
| ~ spl0_228 ),
inference(sat_conversion,[],[f1758]) ).
cnf(s289,plain,
spl0_228,
inference(rat,[],[s111,s160]) ).
cnf(s290,plain,
spl0_190,
inference(rat,[],[s249,s289]) ).
cnf(s293,plain,
~ spl0_102,
inference(rat,[],[s247,s290]) ).
cnf(s320,plain,
spl0_51,
inference(rat,[],[s87,s203]) ).
cnf(s343,plain,
$false,
inference(rat,[],[s45,s293,s320]) ).
fof(f1761,plain,
$false,
inference(avatar_sat_refutation,[],[s343]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN124-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19 % Computer : n005.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 15:36:01 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.22 Running first-order model finding
% 0.09/0.22 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
% 0.21/0.29 % (874625)Will run a generic schedule for satisfiability detection.
% 0.21/0.29 % (874630)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3791775306_2999 on theBenchmark for (2999ds/0Mi)
% 0.21/0.29 % (874631)% WARNING: option uhcvi not known.
% 0.21/0.29 % (874631)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1337946503:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.21/0.29 % (874633)dis+10_1_sil=32000:sp=arity:random_seed=311814832:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.21/0.29 % (874632)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=28281014:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.21/0.29 % (874634)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=196328016:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.21/0.29 % Detected minimum model sizes of [1]
% 0.21/0.29 % Detected maximum model sizes of [5]
% 0.21/0.29 % TRYING [1]
% 0.21/0.29 % TRYING [2]
% 0.21/0.29 % TRYING [3]
% 0.21/0.29 % (874636)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=996693683:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.21/0.29 % (874633) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-874625-874633"...
% 0.21/0.29 % (874632) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-874625-874632"...
% 0.21/0.29 % (874631) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-874625-874631"...
% 0.21/0.29 % (874630) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-874625-874630"...
% 0.21/0.29 % (874633)...printing done.
% 0.21/0.29 % (874632)...printing done.
% 0.21/0.29 % (874635)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=455668183:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.21/0.29 % (874633)Refutation found. Thanks to Tanya!
% 0.21/0.29 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.29 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.29 % (874633)------------------------------
% 0.21/0.29 % (874633)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.29 % (874633)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.29 % (874633)CaDiCaL version: 2.1.3
% 0.21/0.29 % (874633)Termination reason: Refutation
% 0.21/0.29 % (874633)Time elapsed: 0.011 s
% 0.21/0.29 % (874633)Peak memory usage: 13 MB
% 0.21/0.29 % (874633)Instructions burned: 14 (million)
% 0.21/0.29 % (874625)Success in time 0.053 s
% 0.21/0.29 % Vampire exiting
%------------------------------------------------------------------------------