%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN656-1 : 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 : n005.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 02:01:11 PM UTC 2026
% Result : Unsatisfiable 2.73s 1.18s
% Output : Refutation 2.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 9
% Syntax : Number of formulae : 19 ( 9 unt; 0 def)
% Number of atoms : 35 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 32 ( 16 ~; 16 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 7 con; 0-2 aty)
% Number of variables : 28 ( 28 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,negated_conjecture,
! [X0] : p4(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_5) ).
fof(f6,negated_conjecture,
! [X0] : p3(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_6) ).
fof(f22,negated_conjecture,
! [X2,X0,X1] :
( ~ p3(X2,X1)
| ~ p3(X2,X0)
| p3(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_22) ).
fof(f31,negated_conjecture,
! [X0] : p25(f5(c29,f13(c31,f15(c32,X0))),f13(c31,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p25_31) ).
fof(f33,negated_conjecture,
! [X2,X0,X1] :
( p25(f5(f7(c28,X0),X1),X2)
| ~ p25(f5(X0,X1),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p25_33) ).
fof(f35,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p25(X3,X2)
| ~ p3(X2,X1)
| ~ p4(X3,X0)
| p25(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p25_35) ).
fof(f45,negated_conjecture,
~ p25(f5(f7(c28,c29),f13(c31,f15(c32,f15(f17(c33,c34),c35)))),f13(c31,c34)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p25_45) ).
fof(f46,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p25(f5(f7(c28,X0),X3),X2)
| ~ p25(f5(X0,X1),X3)
| p25(f5(f7(c28,X0),X1),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p25_46) ).
fof(f49,negated_conjecture,
! [X0] :
( p25(f5(f7(c28,c29),f13(c31,f15(f17(c33,c34),X0))),f13(c31,c34))
| p3(f13(c31,c34),f13(c31,f15(f17(c33,c34),X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_49) ).
fof(f59,plain,
! [X0,X1] :
( ~ p3(X0,X1)
| p3(X1,X0) ),
inference(resolution,[],[f22,f6]) ).
fof(f80,plain,
! [X2,X0,X1] :
( ~ p4(f5(c29,f13(c31,f15(c32,X0))),X2)
| ~ p3(f13(c31,X0),X1)
| p25(X2,X1) ),
inference(resolution,[],[f35,f31]) ).
fof(f102,plain,
~ p25(f5(c29,f13(c31,f15(c32,f15(f17(c33,c34),c35)))),f13(c31,c34)),
inference(resolution,[],[f45,f33]) ).
fof(f117,plain,
! [X0,X1] :
( ~ p25(f5(c29,X1),f13(c31,f15(f17(c33,c34),X0)))
| p3(f13(c31,c34),f13(c31,f15(f17(c33,c34),X0)))
| p25(f5(f7(c28,c29),X1),f13(c31,c34)) ),
inference(resolution,[],[f49,f46]) ).
fof(f162,plain,
! [X0,X1] :
( p25(f5(c29,f13(c31,f15(c32,X0))),X1)
| ~ p3(f13(c31,X0),X1) ),
inference(resolution,[],[f80,f5]) ).
fof(f163,plain,
~ p3(f13(c31,f15(f17(c33,c34),c35)),f13(c31,c34)),
inference(resolution,[],[f162,f102]) ).
fof(f203,plain,
! [X0] :
( p25(f5(f7(c28,c29),f13(c31,f15(c32,f15(f17(c33,c34),X0)))),f13(c31,c34))
| p3(f13(c31,c34),f13(c31,f15(f17(c33,c34),X0))) ),
inference(resolution,[],[f117,f31]) ).
fof(f326,plain,
p3(f13(c31,c34),f13(c31,f15(f17(c33,c34),c35))),
inference(resolution,[],[f203,f45]) ).
fof(f337,plain,
p3(f13(c31,f15(f17(c33,c34),c35)),f13(c31,c34)),
inference(resolution,[],[f326,f59]) ).
fof(f339,plain,
$false,
inference(forward_subsumption_resolution,[],[f337,f163]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN656-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n005.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 16:39:46 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running first-order theorem proving
% 0.08/0.23 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
% 2.73/1.18 % (918799)Input is clausal, will run a generic CNF schedule.
% 2.73/1.18 % (918807)lrs+10_1_sil=8000:sp=occurrence:random_seed=2262712337:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.73/1.18 % (918807)First to succeed.
% 2.73/1.18 % (918807)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-918799"
% 2.73/1.18 % (918806)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3463370209:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.73/1.18 % (918808)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1424766635:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.73/1.18 % (918810)dis-21_1_sil=8000:lcm=predicate:random_seed=3628431287: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)
% 2.73/1.18 % (918809)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2550247893:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.73/1.18 % (918804)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=585763647:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.73/1.18 % (918805)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2265918108:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.73/1.18 % (918808)Also succeeded, but the first one will report.
% 2.73/1.18 % (918810)Also succeeded, but the first one will report.
% 2.73/1.18 % (918809)Also succeeded, but the first one will report.
% 2.73/1.18 % (918807)Refutation found. Thanks to Tanya!
% 2.73/1.18 % SZS status Unsatisfiable for theBenchmark
% 2.73/1.18 % SZS output start Proof for theBenchmark
% See solution above
% 2.73/1.18 % (918807)------------------------------
% 2.73/1.18 % (918807)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.73/1.18 % (918807)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.73/1.18 % (918807)CaDiCaL version: 2.1.3
% 2.73/1.18 % (918807)Termination reason: Refutation
% 2.73/1.18 % (918807)Time elapsed: 0.008 s
% 2.73/1.18 % (918807)Peak memory usage: 88 MB
% 2.73/1.18 % (918807)Instructions burned: 19 (million)
% 2.73/1.18 % (918807)------------------------------
% 2.73/1.18 % (918807)------------------------------
% 2.73/1.18 % (918799)Success in time 0.3 s
% 2.73/1.18 % Vampire exiting
%------------------------------------------------------------------------------