%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN581-1 : 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 : n001.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 02:17:39 PM UTC 2026
% Result : Unsatisfiable 0.25s 0.34s
% Output : Refutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 9
% Syntax : Number of formulae : 18 ( 10 unt; 0 def)
% Number of atoms : 31 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 27 ( 14 ~; 13 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 24 ( 24 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_2) ).
fof(f3,negated_conjecture,
! [X0] : p5(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5_3) ).
fof(f5,negated_conjecture,
p2(c18,c14),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_5) ).
fof(f8,negated_conjecture,
p11(f4(f6(c15,c14)),c16),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_8) ).
fof(f9,negated_conjecture,
~ p11(f4(f6(c15,c18)),c16),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p11_9) ).
fof(f14,negated_conjecture,
! [X0,X1] :
( ~ p2(X0,X1)
| p2(f4(X0),f4(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_14) ).
fof(f18,negated_conjecture,
! [X2,X0,X1] :
( ~ p2(X2,X0)
| p2(X0,X1)
| ~ p2(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_18) ).
fof(f21,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p11(X2,X3)
| ~ p2(X2,X0)
| ~ p2(X3,X1)
| p11(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_21) ).
fof(f23,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p5(X0,X2)
| ~ p2(X1,X3)
| p2(f6(X0,X1),f6(X2,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_23) ).
fof(f72,plain,
! [X0] :
( ~ p2(c18,X0)
| p2(c14,X0) ),
inference(resolution,[],[f18,f5]) ).
fof(f100,plain,
! [X0,X1] :
( ~ p2(c16,X1)
| ~ p2(f4(f6(c15,c14)),X0)
| p11(X0,X1) ),
inference(resolution,[],[f21,f8]) ).
fof(f105,plain,
p2(c14,c18),
inference(resolution,[],[f72,f2]) ).
fof(f106,plain,
! [X2,X0,X1] :
( ~ p2(X0,X1)
| p2(f6(X2,X0),f6(X2,X1)) ),
inference(resolution,[],[f23,f3]) ).
fof(f145,plain,
! [X0] : p2(f6(X0,c14),f6(X0,c18)),
inference(resolution,[],[f106,f105]) ).
fof(f162,plain,
! [X0] :
( ~ p2(f4(f6(c15,c14)),X0)
| p11(X0,c16) ),
inference(resolution,[],[f100,f2]) ).
fof(f225,plain,
! [X0] : p2(f4(f6(X0,c14)),f4(f6(X0,c18))),
inference(resolution,[],[f145,f14]) ).
fof(f1144,plain,
p11(f4(f6(c15,c18)),c16),
inference(resolution,[],[f225,f162]) ).
fof(f1161,plain,
$false,
inference(forward_subsumption_resolution,[],[f1144,f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN581-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.21 % Computer : n001.cluster.edu
% 0.08/0.21 % Model : x86_64 x86_64
% 0.08/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.21 % Memory : 8046.5625MB
% 0.08/0.21 % OS : Linux 6.8.0-71-generic
% 0.08/0.21 % CPULimit : 300
% 0.08/0.21 % WCLimit : 300
% 0.08/0.21 % DateTime : Mon Sep 28 16:35:49 UTC 2026
% 0.08/0.21 % CPUTime :
% 0.08/0.22 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.25 Running first-order model finding
% 0.08/0.25 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
% 0.25/0.34 % (476310)Will run a generic schedule for satisfiability detection.
% 0.25/0.34 % (476316)% WARNING: option uhcvi not known.
% 0.25/0.34 % (476316)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3967091676:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.25/0.34 % (476317)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3329139877:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.25/0.34 % (476318)dis+10_1_sil=32000:sp=arity:random_seed=363864267:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.25/0.34 % (476315)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2240148861_2999 on theBenchmark for (2999ds/0Mi)
% 0.25/0.34 % (476319)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1164451647:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.25/0.34 % (476320)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2784193371:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.25/0.34 % (476321)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2629442411:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.25/0.34 % TRYING [1]
% 0.25/0.34 % TRYING [2]
% 0.25/0.34 % TRYING [3]
% 0.25/0.34 % TRYING [4]
% 0.25/0.34 % TRYING [5]
% 0.25/0.34 % (476320) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-476310-476320"...
% 0.25/0.34 % (476320)...printing done.
% 0.25/0.34 % (476316) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-476310-476316"...
% 0.25/0.34 % (476320)Refutation found. Thanks to Tanya!
% 0.25/0.34 % SZS status Unsatisfiable for theBenchmark
% 0.25/0.34 % SZS output start Proof for theBenchmark
% See solution above
% 0.25/0.34 % (476320)------------------------------
% 0.25/0.34 % (476320)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.25/0.34 % (476320)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.25/0.34 % (476320)CaDiCaL version: 2.1.3
% 0.25/0.34 % (476320)Termination reason: Refutation
% 0.25/0.34 % (476320)Time elapsed: 0.036 s
% 0.25/0.34 % (476320)Peak memory usage: 12 MB
% 0.25/0.34 % (476320)Instructions burned: 35 (million)
% 0.25/0.34 % (476310)Success in time 0.075 s
% 0.25/0.34 % Vampire exiting
%------------------------------------------------------------------------------