%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN009-3 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n026.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 01:48:59 PM UTC 2026
% Result : Unsatisfiable 2.50s 1.12s
% Output : Refutation 2.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of formulae : 16 ( 6 unt; 0 def)
% Number of atoms : 41 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 53 ( 28 ~; 25 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 30 ( 30 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X2,X0,X1] :
( ~ t(X0,X1,X2)
| ~ p(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1) ).
fof(f2,negated_conjecture,
! [X2,X0,X1] :
( ~ q(X0,X1,X2)
| ~ t(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_2) ).
fof(f3,negated_conjecture,
! [X2,X0,X1] :
( ~ r(X0,X1,X2)
| ~ t(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3) ).
fof(f6,negated_conjecture,
s(c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_6) ).
fof(f7,negated_conjecture,
! [X2,X0,X1] : ~ v(X0,X1,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_7) ).
fof(f8,negated_conjecture,
u(c,c,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_8) ).
fof(f9,negated_conjecture,
! [X2,X0,X1] :
( r(X0,X1,X2)
| ~ s(X1)
| ~ s(X2)
| p(X0,X1,X2)
| q(X0,X1,X2)
| ~ s(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_9) ).
fof(f10,negated_conjecture,
! [X2,X0,X1] :
( ~ u(X0,X1,X2)
| t(X0,X1,X2)
| v(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_10) ).
fof(f11,plain,
! [X2,X0,X1] :
( ~ u(X0,X1,X2)
| t(X0,X1,X2) ),
inference(forward_subsumption_resolution,[],[f10,f7]) ).
fof(f12,plain,
t(c,c,c),
inference(resolution,[],[f11,f8]) ).
fof(f14,plain,
! [X2,X0,X1] :
( ~ s(X0)
| ~ s(X1)
| p(X2,X0,X1)
| q(X2,X0,X1)
| ~ s(X2)
| ~ t(X2,X0,X1) ),
inference(resolution,[],[f9,f3]) ).
fof(f15,plain,
! [X2,X0,X1] :
( ~ s(X0)
| ~ s(X1)
| p(X2,X0,X1)
| ~ s(X2)
| ~ t(X2,X0,X1) ),
inference(forward_subsumption_resolution,[],[f14,f2]) ).
fof(f16,plain,
! [X2,X0,X1] :
( ~ t(X2,X0,X1)
| ~ s(X1)
| ~ s(X2)
| ~ s(X0) ),
inference(forward_subsumption_resolution,[],[f15,f1]) ).
fof(f17,plain,
( ~ s(c)
| ~ s(c)
| ~ s(c) ),
inference(resolution,[],[f16,f12]) ).
fof(f18,plain,
~ s(c),
inference(duplicate_literal_removal,[],[f17]) ).
fof(f19,plain,
$false,
inference(forward_subsumption_resolution,[],[f18,f6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN009-3 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n026.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 15:22:42 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.21 Running first-order theorem proving
% 0.08/0.21 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.50/1.12 % (3935807)Input is clausal, will run a generic CNF schedule.
% 2.50/1.12 % (3935816)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2557522522:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.50/1.12 % (3935816)First to succeed.
% 2.50/1.12 % (3935816)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3935807"
% 2.50/1.12 % (3935812)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=182554063:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.50/1.12 % (3935813)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3957428724:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.50/1.12 % (3935818)dis-21_1_sil=8000:lcm=predicate:random_seed=2658912444:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 2.50/1.12 % (3935815)lrs+10_1_sil=8000:sp=occurrence:random_seed=381009184:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.50/1.12 % (3935814)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2743078840:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.50/1.12 % (3935815)Also succeeded, but the first one will report.
% 2.50/1.12 % (3935818)Also succeeded, but the first one will report.
% 2.50/1.12 % (3935817)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=902315817:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.50/1.12 % (3935817)Also succeeded, but the first one will report.
% 2.50/1.12 % (3935816)Refutation found. Thanks to Tanya!
% 2.50/1.12 % SZS status Unsatisfiable for theBenchmark
% 2.50/1.12 % SZS output start Proof for theBenchmark
% See solution above
% 2.50/1.12 % (3935816)------------------------------
% 2.50/1.12 % (3935816)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.50/1.12 % (3935816)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.50/1.12 % (3935816)CaDiCaL version: 2.1.3
% 2.50/1.12 % (3935816)Termination reason: Refutation
% 2.50/1.12 % (3935816)Time elapsed: 0.001 s
% 2.50/1.12 % (3935816)Peak memory usage: 88 MB
% 2.50/1.12 % (3935816)Instructions burned: 1 (million)
% 2.50/1.12 % (3935816)------------------------------
% 2.50/1.12 % (3935816)------------------------------
% 2.50/1.12 % (3935807)Success in time 0.27 s
% 2.50/1.12 % Vampire exiting
%------------------------------------------------------------------------------