%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN688-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n020.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 02:17:53 PM UTC 2026
% Result : Unsatisfiable 0.18s 0.28s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 11
% Syntax : Number of formulae : 31 ( 11 unt; 1 def)
% Number of atoms : 63 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 65 ( 33 ~; 31 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 2 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-1 aty)
% Number of variables : 21 ( 0 sgn 21 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
p27(c34),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c34_is_p27_1) ).
fof(f2,negated_conjecture,
p27(c43),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c43_is_p27_2) ).
fof(f10,negated_conjecture,
! [X0] : p18(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p18_10) ).
fof(f16,negated_conjecture,
~ p25(f17(c43),c34),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p25_16) ).
fof(f17,negated_conjecture,
! [X0] :
( p27(f17(X0))
| ~ p27(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p27_17) ).
fof(f18,negated_conjecture,
p28(f20(f19(c43)),f19(c34)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p28_18) ).
fof(f31,negated_conjecture,
! [X0] :
( p18(f19(f17(X0)),f20(f19(X0)))
| ~ p27(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p18_31) ).
fof(f37,negated_conjecture,
! [X2,X0,X1] :
( ~ p18(X2,X1)
| ~ p18(X2,X0)
| p18(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p18_37) ).
fof(f40,negated_conjecture,
! [X0,X1] :
( ~ p28(f19(X0),f19(X1))
| ~ p27(X0)
| ~ p27(X1)
| p25(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p25_40) ).
fof(f44,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p28(X3,X2)
| ~ p18(X2,X1)
| p28(X0,X1)
| ~ p18(X3,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p28_44) ).
fof(f274,plain,
! [X0,X1] :
( ~ p18(X0,X1)
| p18(X1,X0) ),
inference(resolution,[],[f37,f10]) ).
fof(f434,plain,
! [X0,X1] :
( ~ p18(f20(f19(c43)),X1)
| p28(X1,X0)
| ~ p18(f19(c34),X0) ),
inference(resolution,[],[f44,f18]) ).
fof(f568,plain,
! [X0] :
( p18(f20(f19(X0)),f19(f17(X0)))
| ~ p27(X0) ),
inference(resolution,[],[f31,f274]) ).
fof(f841,plain,
! [X0] :
( ~ p27(c43)
| p28(f19(f17(c43)),X0)
| ~ p18(f19(c34),X0) ),
inference(resolution,[],[f568,f434]) ).
fof(f853,plain,
! [X0] :
( p28(f19(f17(c43)),X0)
| ~ p18(f19(c34),X0) ),
inference(forward_subsumption_resolution,[],[f841,f2]) ).
fof(f879,definition,
( spl0_77
<=> p27(f17(c43)) ),
introduced(definition,[new_symbols(definition,[spl0_77])],[avatar_definition]) ).
fof(f880,plain,
( p27(f17(c43))
| ~ spl0_77 ),
inference(avatar_component_clause,[],[f879]) ).
fof(f881,plain,
( ~ p27(f17(c43))
| spl0_77 ),
inference(avatar_component_clause,[],[f879]) ).
fof(f886,plain,
( ~ p27(c43)
| spl0_77 ),
inference(resolution,[],[f881,f17]) ).
fof(f887,plain,
( $false
| spl0_77 ),
inference(forward_subsumption_resolution,[],[f886,f2]) ).
fof(f888,plain,
spl0_77,
inference(avatar_contradiction_clause,[],[f887]) ).
fof(f1104,plain,
! [X0] :
( ~ p18(f19(c34),f19(X0))
| ~ p27(f17(c43))
| ~ p27(X0)
| p25(f17(c43),X0) ),
inference(resolution,[],[f853,f40]) ).
fof(f1106,plain,
( ! [X0] :
( ~ p18(f19(c34),f19(X0))
| ~ p27(X0)
| p25(f17(c43),X0) )
| ~ spl0_77 ),
inference(forward_subsumption_resolution,[],[f1104,f880]) ).
fof(f1526,plain,
( ~ p27(c34)
| p25(f17(c43),c34)
| ~ spl0_77 ),
inference(resolution,[],[f1106,f10]) ).
fof(f1527,plain,
( p25(f17(c43),c34)
| ~ spl0_77 ),
inference(forward_subsumption_resolution,[],[f1526,f1]) ).
fof(f1528,plain,
( $false
| ~ spl0_77 ),
inference(forward_subsumption_resolution,[],[f1527,f16]) ).
fof(f1529,plain,
~ spl0_77,
inference(avatar_contradiction_clause,[],[f1528]) ).
cnf(s735,plain,
spl0_77,
inference(sat_conversion,[],[f888]) ).
cnf(s1213,plain,
~ spl0_77,
inference(sat_conversion,[],[f1529]) ).
cnf(s1215,plain,
$false,
inference(rat,[],[s735,s1213]) ).
fof(f1530,plain,
$false,
inference(avatar_sat_refutation,[],[s1215]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN688-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.19 % Computer : n020.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Mon Sep 28 16:46:50 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.22 Running first-order model finding
% 0.07/0.23 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
% 0.18/0.28 % (297324)Will run a generic schedule for satisfiability detection.
% 0.18/0.28 % (297331)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3274614199:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.18/0.28 % (297330)% WARNING: option uhcvi not known.
% 0.18/0.28 % (297329)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3380703334_2999 on theBenchmark for (2999ds/0Mi)
% 0.18/0.28 % (297334)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2553499951:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.18/0.28 % (297330)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2255708756:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.18/0.28 % (297332)dis+10_1_sil=32000:sp=arity:random_seed=1230822547:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.18/0.28 % (297333)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1457767276:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.18/0.28 % (297335)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1427977021:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.18/0.28 % TRYING [1]
% 0.18/0.28 % (297331) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-297324-297331"...
% 0.18/0.28 % TRYING [2]
% 0.18/0.28 % (297331)...printing done.
% 0.18/0.28 % (297331)Refutation found. Thanks to Tanya!
% 0.18/0.28 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.28 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.28 % (297331)------------------------------
% 0.18/0.28 % (297331)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.28 % (297331)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.28 % (297331)CaDiCaL version: 2.1.3
% 0.18/0.28 % (297331)Termination reason: Refutation
% 0.18/0.28 % (297331)Time elapsed: 0.016 s
% 0.18/0.28 % (297331)Peak memory usage: 12 MB
% 0.18/0.28 % (297331)Instructions burned: 39 (million)
% 0.18/0.28 % (297324)Success in time 0.047 s
% 0.18/0.28 % Vampire exiting
%------------------------------------------------------------------------------