%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN567-1 : 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 : n006.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 02:00:59 PM UTC 2026
% Result : Unsatisfiable 0.22s 1.30s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of formulae : 13 ( 8 unt; 0 def)
% Number of atoms : 24 ( 0 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 22 ( 11 ~; 11 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-1 aty)
% Number of variables : 4 ( 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,negated_conjecture,
! [X0] : p5(f8(f6(X0)),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5_3) ).
fof(f4,negated_conjecture,
~ p2(f6(c9),f3(f4(c10))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p2_4) ).
fof(f5,negated_conjecture,
~ p2(f6(c9),f3(f7(f4(c10)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p2_5) ).
fof(f6,negated_conjecture,
~ p2(f6(c9),f3(f7(f7(f4(c10))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p2_6) ).
fof(f10,negated_conjecture,
! [X0,X1] :
( p2(f6(X0),f6(X1))
| ~ p5(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_10) ).
fof(f12,negated_conjecture,
~ p2(f6(c9),f3(f7(f7(f7(f4(c10)))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p2_12) ).
fof(f19,negated_conjecture,
! [X0] :
( p2(X0,f3(f7(f7(f7(f4(c10))))))
| p2(X0,f3(f7(f4(c10))))
| p2(X0,f3(f7(f7(f4(c10)))))
| p2(X0,f3(f4(c10)))
| ~ p2(f6(f8(X0)),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_19) ).
fof(f51,plain,
( p2(f6(c9),f3(f7(f4(c10))))
| p2(f6(c9),f3(f7(f7(f4(c10)))))
| p2(f6(c9),f3(f4(c10)))
| ~ p2(f6(f8(f6(c9))),f6(c9)) ),
inference(resolution,[],[f19,f12]) ).
fof(f52,plain,
( p2(f6(c9),f3(f7(f7(f4(c10)))))
| p2(f6(c9),f3(f4(c10)))
| ~ p2(f6(f8(f6(c9))),f6(c9)) ),
inference(forward_subsumption_resolution,[],[f51,f5]) ).
fof(f53,plain,
( p2(f6(c9),f3(f4(c10)))
| ~ p2(f6(f8(f6(c9))),f6(c9)) ),
inference(forward_subsumption_resolution,[],[f52,f6]) ).
fof(f54,plain,
~ p2(f6(f8(f6(c9))),f6(c9)),
inference(forward_subsumption_resolution,[],[f53,f4]) ).
fof(f55,plain,
~ p5(f8(f6(c9)),c9),
inference(resolution,[],[f54,f10]) ).
fof(f61,plain,
$false,
inference(forward_subsumption_resolution,[],[f55,f3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN567-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 % Computer : n006.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Mon Sep 28 16:28:40 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.24 Running first-order theorem proving
% 0.09/0.24 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
% 0.22/1.30 % (4096521)Input is clausal, will run a generic CNF schedule.
% 0.22/1.30 % (4096527)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3576808313:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.22/1.30 % (4096526)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=441680127:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.22/1.30 % (4096531)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3262362384:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.22/1.30 % (4096530)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1014877576:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.22/1.30 % (4096529)lrs+10_1_sil=8000:sp=occurrence:random_seed=4172890095:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.22/1.30 % (4096528)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3067437709:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.22/1.30 % (4096530)Also succeeded, but the first one will report.
% 0.22/1.30 % (4096531)First to succeed.
% 0.22/1.30 % (4096531)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4096521"
% 0.22/1.30 % (4096529)Also succeeded, but the first one will report.
% 0.22/1.30 % (4096532)dis-21_1_sil=8000:lcm=predicate:random_seed=2451303562: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)
% 0.22/1.30 % (4096532)Also succeeded, but the first one will report.
% 0.22/1.30 % (4096531)Refutation found. Thanks to Tanya!
% 0.22/1.30 % SZS status Unsatisfiable for theBenchmark
% 0.22/1.30 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/1.30 % (4096531)------------------------------
% 0.22/1.30 % (4096531)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.22/1.30 % (4096531)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/1.30 % (4096531)CaDiCaL version: 2.1.3
% 0.22/1.30 % (4096531)Termination reason: Refutation
% 0.22/1.30 % (4096531)Time elapsed: 0.002 s
% 0.22/1.30 % (4096531)Peak memory usage: 88 MB
% 0.22/1.30 % (4096531)Instructions burned: 2 (million)
% 0.22/1.30 % (4096531)------------------------------
% 0.22/1.30 % (4096531)------------------------------
% 0.22/1.30 % (4096521)Success in time 0.43 s
% 0.22/1.30 % Vampire exiting
%------------------------------------------------------------------------------