%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN613-1 : 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 : n013.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 02:01:05 PM UTC 2026
% Result : Unsatisfiable 2.70s 1.23s
% Output : Refutation 2.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 9
% Syntax : Number of formulae : 19 ( 12 unt; 0 def)
% Number of atoms : 33 ( 0 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 31 ( 17 ~; 14 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 6 con; 0-2 aty)
% Number of variables : 20 ( 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0] : p11(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_1) ).
fof(f4,negated_conjecture,
! [X0] : p3(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_4) ).
fof(f6,negated_conjecture,
! [X0] : p16(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p16_6) ).
fof(f7,negated_conjecture,
p11(c23,f12(f9(c21))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_7) ).
fof(f8,negated_conjecture,
p11(c24,f12(f9(c21))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_8) ).
fof(f15,negated_conjecture,
! [X2,X0,X1] :
( ~ p11(X2,X1)
| ~ p11(X2,X0)
| p11(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_15) ).
fof(f21,negated_conjecture,
p17(c19,f4(f7(f10(c20),f8(f9(c21),c22))),c24),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p17_21) ).
fof(f22,negated_conjecture,
~ p17(c19,f4(f7(f10(c20),f8(f9(c21),c22))),c23),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p17_22) ).
fof(f29,negated_conjecture,
! [X2,X3,X0,X1,X4,X5] :
( ~ p17(X4,X3,X5)
| ~ p3(X3,X1)
| ~ p16(X4,X0)
| ~ p11(X5,X2)
| p17(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p17_29) ).
fof(f44,plain,
! [X0,X1] :
( ~ p11(X0,X1)
| p11(X1,X0) ),
inference(resolution,[],[f15,f1]) ).
fof(f51,plain,
p11(f12(f9(c21)),c23),
inference(resolution,[],[f44,f7]) ).
fof(f53,plain,
p11(f12(f9(c21)),c24),
inference(resolution,[],[f44,f8]) ).
fof(f58,plain,
! [X0] :
( ~ p11(f12(f9(c21)),X0)
| p11(X0,c23) ),
inference(resolution,[],[f51,f15]) ).
fof(f97,plain,
! [X2,X0,X1] :
( ~ p3(f4(f7(f10(c20),f8(f9(c21),c22))),X0)
| ~ p16(c19,X1)
| ~ p11(c24,X2)
| p17(X1,X0,X2) ),
inference(resolution,[],[f29,f21]) ).
fof(f133,plain,
p11(c24,c23),
inference(resolution,[],[f58,f53]) ).
fof(f215,plain,
! [X0,X1] :
( p17(X0,f4(f7(f10(c20),f8(f9(c21),c22))),X1)
| ~ p11(c24,X1)
| ~ p16(c19,X0) ),
inference(resolution,[],[f97,f4]) ).
fof(f470,plain,
( ~ p11(c24,c23)
| ~ p16(c19,c19) ),
inference(resolution,[],[f215,f22]) ).
fof(f472,plain,
~ p16(c19,c19),
inference(forward_subsumption_resolution,[],[f470,f133]) ).
fof(f473,plain,
$false,
inference(forward_subsumption_resolution,[],[f472,f6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN613-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.22 % Computer : n013.cluster.edu
% 0.11/0.22 % Model : x86_64 x86_64
% 0.11/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.22 % Memory : 8046.5625MB
% 0.11/0.22 % OS : Linux 6.8.0-71-generic
% 0.11/0.22 % CPULimit : 300
% 0.11/0.22 % WCLimit : 300
% 0.11/0.22 % DateTime : Mon Sep 28 16:35:37 UTC 2026
% 0.11/0.22 % CPUTime :
% 0.11/0.22 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.28 Running first-order theorem proving
% 0.11/0.28 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
% 2.70/1.23 % (1314573)Input is clausal, will run a generic CNF schedule.
% 2.70/1.23 % (1314592)lrs+10_1_sil=8000:sp=occurrence:random_seed=3302256540:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.70/1.23 % (1314592)First to succeed.
% 2.70/1.23 % (1314592)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1314573"
% 2.70/1.23 % (1314591)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3062593319:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.70/1.23 % (1314594)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2135517184:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.70/1.23 % (1314595)dis-21_1_sil=8000:lcm=predicate:random_seed=1138210978: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)
% 2.70/1.23 % (1314590)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2940985647:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.70/1.23 % (1314588)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=2989731266:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.70/1.23 % (1314593)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2781223792:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.70/1.23 % (1314594)Also succeeded, but the first one will report.
% 2.70/1.23 % (1314593)Also succeeded, but the first one will report.
% 2.70/1.23 % (1314595)Also succeeded, but the first one will report.
% 2.70/1.23 % (1314592)Refutation found. Thanks to Tanya!
% 2.70/1.23 % SZS status Unsatisfiable for theBenchmark
% 2.70/1.23 % SZS output start Proof for theBenchmark
% See solution above
% 2.70/1.23 % (1314592)------------------------------
% 2.70/1.23 % (1314592)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.70/1.23 % (1314592)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.70/1.23 % (1314592)CaDiCaL version: 2.1.3
% 2.70/1.23 % (1314592)Termination reason: Refutation
% 2.70/1.23 % (1314592)Time elapsed: 0.006 s
% 2.70/1.23 % (1314592)Peak memory usage: 88 MB
% 2.70/1.23 % (1314592)Instructions burned: 14 (million)
% 2.70/1.23 % (1314592)------------------------------
% 2.70/1.23 % (1314592)------------------------------
% 2.70/1.23 % (1314573)Success in time 0.269 s
% 2.70/1.23 % Vampire exiting
%------------------------------------------------------------------------------