%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN293-1 : 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 : 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 02:07:13 PM UTC 2026
% Result : Unsatisfiable 0.26s 0.27s
% Output : Refutation 0.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of formulae : 33 ( 12 unt; 4 def)
% Number of atoms : 63 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 64 ( 34 ~; 26 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 5 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 13 ( 0 sgn 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f14,axiom,
! [X0] : p0(b,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_14) ).
fof(f17,axiom,
! [X0] : q0(X0,d),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_17) ).
fof(f34,axiom,
n0(c,d),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_34) ).
fof(f39,axiom,
! [X0,X1] :
( ~ n0(X1,X0)
| k1(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_001) ).
fof(f147,axiom,
! [X2,X0,X1] :
( q1(X0,X0,X1)
| ~ p0(X2,X2)
| ~ q0(X1,X0)
| ~ k1(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_109) ).
fof(f369,negated_conjecture,
~ q1(d,d,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f559,definition,
( spl0_49
<=> n0(c,d) ),
introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).
fof(f560,plain,
( n0(c,d)
| ~ spl0_49 ),
inference(avatar_component_clause,[],[f559]) ).
fof(f1033,definition,
( spl0_168
<=> k1(d) ),
introduced(definition,[new_symbols(definition,[spl0_168])],[avatar_definition]) ).
fof(f1034,plain,
( k1(d)
| ~ spl0_168 ),
inference(avatar_component_clause,[],[f1033]) ).
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(f1220,definition,
( spl0_213
<=> ! [X0,X1] :
( q1(X0,X0,X1)
| ~ k1(X0)
| ~ q0(X1,X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_213])],[avatar_definition]) ).
fof(f1221,plain,
( ! [X0,X1] :
( q1(X0,X0,X1)
| ~ k1(X0)
| ~ q0(X1,X0) )
| ~ spl0_213 ),
inference(avatar_component_clause,[],[f1220]) ).
fof(f1222,plain,
( spl0_194
| spl0_213 ),
inference(avatar_split_clause,[],[f147,f1220,f1141]) ).
fof(f1554,plain,
spl0_49,
inference(avatar_split_clause,[],[f34,f559]) ).
fof(f1577,plain,
( $false
| ~ spl0_194 ),
inference(resolution,[],[f1142,f14]) ).
fof(f1578,plain,
~ spl0_194,
inference(avatar_contradiction_clause,[],[f1577]) ).
fof(f1628,plain,
( k1(d)
| ~ spl0_49 ),
inference(resolution,[],[f39,f560]) ).
fof(f1649,plain,
( spl0_168
| ~ spl0_49 ),
inference(avatar_split_clause,[],[f1628,f559,f1033]) ).
fof(f2457,plain,
( ~ k1(d)
| ~ q0(a,d)
| ~ spl0_213 ),
inference(resolution,[],[f1221,f369]) ).
fof(f2462,plain,
( ~ q0(a,d)
| ~ spl0_168
| ~ spl0_213 ),
inference(forward_subsumption_resolution,[],[f2457,f1034]) ).
fof(f2463,plain,
( $false
| ~ spl0_168
| ~ spl0_213 ),
inference(forward_subsumption_resolution,[],[f2462,f17]) ).
fof(f2464,plain,
( ~ spl0_168
| ~ spl0_213 ),
inference(avatar_contradiction_clause,[],[f2463]) ).
cnf(s101,plain,
( spl0_194
| spl0_213 ),
inference(sat_conversion,[],[f1222]) ).
cnf(s154,plain,
spl0_49,
inference(sat_conversion,[],[f1554]) ).
cnf(s173,plain,
~ spl0_194,
inference(sat_conversion,[],[f1578]) ).
cnf(s206,plain,
( ~ spl0_49
| spl0_168 ),
inference(sat_conversion,[],[f1649]) ).
cnf(s358,plain,
( ~ spl0_168
| ~ spl0_213 ),
inference(sat_conversion,[],[f2464]) ).
cnf(s374,plain,
spl0_168,
inference(rat,[],[s206,s154]) ).
cnf(s375,plain,
~ spl0_213,
inference(rat,[],[s358,s374]) ).
cnf(s418,plain,
$false,
inference(rat,[],[s101,s375,s173]) ).
fof(f2465,plain,
$false,
inference(avatar_sat_refutation,[],[s418]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN293-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.18 % Computer : n002.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 15:43:07 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.21 Running first-order model finding
% 0.08/0.21 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
% 0.26/0.27 % (467182)Will run a generic schedule for satisfiability detection.
% 0.26/0.27 % (467192)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1489242732:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.26/0.27 % (467189)% WARNING: option uhcvi not known.
% 0.26/0.27 % (467190)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=248711898:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.26/0.27 % (467188)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2549149176_2999 on theBenchmark for (2999ds/0Mi)
% 0.26/0.27 % (467189)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4016532410:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.26/0.27 % (467191)dis+10_1_sil=32000:sp=arity:random_seed=731564305:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.26/0.27 % (467194)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4151394554:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.26/0.27 % (467195)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3381405356:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.26/0.27 % (467191) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-467182-467191"...
% 0.26/0.27 % Detected minimum model sizes of [1]
% 0.26/0.27 % Detected maximum model sizes of [5]
% 0.26/0.27 % TRYING [1]
% 0.26/0.27 % (467194) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-467182-467194"...
% 0.26/0.27 % (467189) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-467182-467189"...
% 0.26/0.27 % (467191)...printing done.
% 0.26/0.27 % TRYING [2]
% 0.26/0.27 % (467190) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-467182-467190"...
% 0.26/0.27 % (467194)...printing done.
% 0.26/0.27 % (467191)Refutation found. Thanks to Tanya!
% 0.26/0.27 % SZS status Unsatisfiable for theBenchmark
% 0.26/0.27 % SZS output start Proof for theBenchmark
% See solution above
% 0.26/0.27 % (467191)------------------------------
% 0.26/0.27 % (467191)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.26/0.27 % (467191)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.26/0.27 % (467191)CaDiCaL version: 2.1.3
% 0.26/0.27 % (467191)Termination reason: Refutation
% 0.26/0.27 % (467191)Time elapsed: 0.021 s
% 0.26/0.27 % (467191)Peak memory usage: 13 MB
% 0.26/0.27 % (467191)Instructions burned: 30 (million)
% 0.26/0.27 % (467182)Success in time 0.051 s
% 0.26/0.27 % Vampire exiting
%------------------------------------------------------------------------------