%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN595-1 : 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 : 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 02:17:41 PM UTC 2026
% Result : Unsatisfiable 0.20s 0.36s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of formulae : 24 ( 12 unt; 1 def)
% Number of atoms : 42 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 40 ( 22 ~; 17 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 9 ( 3 avg)
% Number of predicates : 6 ( 5 usr; 2 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 5 con; 0-2 aty)
% Number of variables : 15 ( 0 sgn 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_1) ).
fof(f2,negated_conjecture,
! [X0] : p7(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_2) ).
fof(f5,negated_conjecture,
p14(c18,f3(f4(f5(c17)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p14_5) ).
fof(f6,negated_conjecture,
! [X0,X1] :
( ~ p14(X0,X1)
| p15(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p15_6) ).
fof(f8,negated_conjecture,
p14(c19,f6(f3(f4(f5(c17))),c16)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p14_8) ).
fof(f17,negated_conjecture,
p2(c19,f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_17) ).
fof(f18,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p14(X2,X3)
| ~ p2(X2,X0)
| ~ p2(X3,X1)
| p14(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p14_18) ).
fof(f26,negated_conjecture,
! [X2,X0,X1] :
( ~ p7(f8(f10(f12(f11(f3(f5(c17)))),c18),f8(f10(f11(f3(f4(f5(c17)))),f3(c17)),f9(f11(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17))))),f10(f11(f3(f4(f5(c17)))),c22)))),f8(f10(f12(f11(f3(f5(c17)))),X1),f8(f10(f11(f3(f4(f5(c17)))),X0),f9(f11(X2),f10(f11(f3(f4(f5(c17)))),c22)))))
| ~ p14(X1,f3(f4(f5(c17))))
| ~ p15(X2,f6(f3(f4(f5(c17))),c16))
| ~ p2(X0,f3(c17)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p2_26) ).
fof(f54,plain,
! [X0,X1] :
( ~ p2(f6(f3(f4(f5(c17))),c16),X1)
| ~ p2(c19,X0)
| p14(X0,X1) ),
inference(resolution,[],[f18,f8]) ).
fof(f88,plain,
( ~ p14(c18,f3(f4(f5(c17))))
| ~ p15(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),f6(f3(f4(f5(c17))),c16))
| ~ p2(f3(c17),f3(c17)) ),
inference(resolution,[],[f26,f2]) ).
fof(f89,plain,
( ~ p15(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),f6(f3(f4(f5(c17))),c16))
| ~ p2(f3(c17),f3(c17)) ),
inference(forward_subsumption_resolution,[],[f88,f5]) ).
fof(f97,plain,
~ p15(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),f6(f3(f4(f5(c17))),c16)),
inference(forward_subsumption_resolution,[],[f89,f1]) ).
fof(f112,definition,
( spl0_5
<=> p15(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),f6(f3(f4(f5(c17))),c16)) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f114,plain,
( ~ p15(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),f6(f3(f4(f5(c17))),c16))
| spl0_5 ),
inference(avatar_component_clause,[],[f112]) ).
fof(f183,plain,
! [X0] :
( p14(X0,f6(f3(f4(f5(c17))),c16))
| ~ p2(c19,X0) ),
inference(resolution,[],[f54,f1]) ).
fof(f244,plain,
~ spl0_5,
inference(avatar_split_clause,[],[f97,f112]) ).
fof(f449,plain,
! [X0] :
( p15(X0,f6(f3(f4(f5(c17))),c16))
| ~ p2(c19,X0) ),
inference(resolution,[],[f183,f6]) ).
fof(f1566,plain,
( ~ p2(c19,f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))))
| spl0_5 ),
inference(resolution,[],[f449,f114]) ).
fof(f1567,plain,
( $false
| spl0_5 ),
inference(forward_subsumption_resolution,[],[f1566,f17]) ).
fof(f1568,plain,
spl0_5,
inference(avatar_contradiction_clause,[],[f1567]) ).
cnf(s11,plain,
~ spl0_5,
inference(sat_conversion,[],[f244]) ).
cnf(s50,plain,
spl0_5,
inference(sat_conversion,[],[f1568]) ).
cnf(s52,plain,
$false,
inference(rat,[],[s11,s50]) ).
fof(f1569,plain,
$false,
inference(avatar_sat_refutation,[],[s52]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN595-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.24 % Computer : n014.cluster.edu
% 0.08/0.24 % Model : x86_64 x86_64
% 0.08/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.24 % Memory : 8046.5625MB
% 0.08/0.24 % OS : Linux 6.8.0-71-generic
% 0.08/0.24 % CPULimit : 300
% 0.08/0.24 % WCLimit : 300
% 0.08/0.24 % DateTime : Mon Sep 28 16:34:02 UTC 2026
% 0.08/0.24 % CPUTime :
% 0.08/0.24 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.20/0.28 Running first-order model finding
% 0.20/0.28 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
% 0.20/0.36 % (1908256)Will run a generic schedule for satisfiability detection.
% 0.20/0.36 % (1908266)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2037640373:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.20/0.36 % (1908262)% WARNING: option uhcvi not known.
% 0.20/0.36 % (1908261)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3991479987_2999 on theBenchmark for (2999ds/0Mi)
% 0.20/0.36 % (1908265)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2721790440:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.20/0.36 % (1908262)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2536458882:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.20/0.36 % (1908263)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3386696465:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.20/0.36 % (1908264)dis+10_1_sil=32000:sp=arity:random_seed=1054335542:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.20/0.36 % (1908267)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=712772403:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.20/0.36 % TRYING [1]
% 0.20/0.36 % TRYING [2]
% 0.20/0.36 % TRYING [3]
% 0.20/0.36 % (1908264) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1908256-1908264"...
% 0.20/0.36 % (1908264)...printing done.
% 0.20/0.36 % (1908264)Refutation found. Thanks to Tanya!
% 0.20/0.36 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.36 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.36 % (1908264)------------------------------
% 0.20/0.36 % (1908264)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.36 % (1908264)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.36 % (1908264)CaDiCaL version: 2.1.3
% 0.20/0.36 % (1908264)Termination reason: Refutation
% 0.20/0.36 % (1908264)Time elapsed: 0.031 s
% 0.20/0.36 % (1908264)Peak memory usage: 12 MB
% 0.20/0.36 % (1908264)Instructions burned: 49 (million)
% 0.20/0.36 % (1908256)Success in time 0.072 s
% 0.20/0.36 % Vampire exiting
%------------------------------------------------------------------------------