%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN002-1.007.008 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/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 01:48:48 PM UTC 2026
% Result : Unsatisfiable 0.19s 1.41s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 2
% Syntax : Number of formulae : 17 ( 4 unt; 0 def)
% Number of atoms : 30 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 31 ( 18 ~; 13 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 9 ( 3 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 0 con; 1-1 aty)
% Number of variables : 16 ( 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0] :
( p(f(f(f(f(f(f(f(X0))))))))
| p(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',positive) ).
fof(f2,negated_conjecture,
! [X0] :
( ~ p(f(f(f(f(f(f(f(f(X0)))))))))
| ~ p(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',negative) ).
fof(f3,plain,
! [X0] :
( p(f(X0))
| ~ p(X0) ),
inference(resolution,[],[f2,f1]) ).
fof(f4,plain,
! [X0] :
( ~ p(f(f(f(f(f(f(f(X0))))))))
| ~ p(X0) ),
inference(resolution,[],[f3,f2]) ).
fof(f6,plain,
! [X0] :
( ~ p(f(f(f(f(f(f(X0)))))))
| ~ p(X0) ),
inference(resolution,[],[f4,f3]) ).
fof(f7,plain,
! [X0] :
( ~ p(f(X0))
| p(X0) ),
inference(resolution,[],[f6,f1]) ).
fof(f8,plain,
! [X0] :
( ~ p(f(f(f(f(f(X0))))))
| ~ p(X0) ),
inference(resolution,[],[f6,f3]) ).
fof(f9,plain,
! [X0] :
( p(f(f(f(f(f(f(X0)))))))
| p(X0) ),
inference(resolution,[],[f7,f1]) ).
fof(f11,plain,
! [X0] :
( ~ p(f(f(X0)))
| p(X0) ),
inference(resolution,[],[f8,f1]) ).
fof(f12,plain,
! [X0] :
( ~ p(f(f(f(f(X0)))))
| ~ p(X0) ),
inference(resolution,[],[f8,f3]) ).
fof(f15,plain,
! [X0] :
( ~ p(f(f(f(X0))))
| p(X0) ),
inference(resolution,[],[f12,f1]) ).
fof(f16,plain,
! [X0] :
( ~ p(X0)
| ~ p(f(f(f(X0)))) ),
inference(resolution,[],[f12,f3]) ).
fof(f17,plain,
! [X0] : ~ p(f(f(f(X0)))),
inference(forward_subsumption_resolution,[],[f15,f16]) ).
fof(f23,plain,
! [X0] :
( p(X0)
| p(f(f(f(f(X0))))) ),
inference(resolution,[],[f9,f11]) ).
fof(f25,plain,
! [X0] : p(X0),
inference(forward_subsumption_resolution,[],[f23,f17]) ).
fof(f30,plain,
! [X0] : ~ p(X0),
inference(resolution,[],[f25,f12]) ).
fof(f33,plain,
$false,
inference(forward_subsumption_resolution,[],[f30,f25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN002-1.007.008 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n013.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 15:18:22 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running first-order theorem proving
% 0.08/0.22 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/1.41 % (1263486)Input is clausal, will run a generic CNF schedule.
% 0.19/1.41 % (1263568)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=3853517292:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.19/1.41 % (1263569)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=210284929:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.19/1.41 % (1263574)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2219111868:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.19/1.41 % (1263575)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4224609901:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.19/1.41 % (1263572)lrs+10_1_sil=8000:sp=occurrence:random_seed=2951259693:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.19/1.41 % (1263572)First to succeed.
% 0.19/1.41 % (1263574)Also succeeded, but the first one will report.
% 0.19/1.41 % (1263572)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1263486"
% 0.19/1.41 % (1263575)Also succeeded, but the first one will report.
% 0.19/1.41 % (1263576)dis-21_1_sil=8000:lcm=predicate:random_seed=658179845: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)
% 0.19/1.41 % (1263571)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3020272987:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.19/1.41 % (1263576)Also succeeded, but the first one will report.
% 0.19/1.41 % (1263572)Refutation found. Thanks to Tanya!
% 0.19/1.41 % SZS status Unsatisfiable for theBenchmark
% 0.19/1.41 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/1.41 % (1263572)------------------------------
% 0.19/1.41 % (1263572)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/1.41 % (1263572)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/1.41 % (1263572)CaDiCaL version: 2.1.3
% 0.19/1.41 % (1263572)Termination reason: Refutation
% 0.19/1.41 % (1263572)Time elapsed: 0.002 s
% 0.19/1.41 % (1263572)Peak memory usage: 88 MB
% 0.19/1.41 % (1263572)Instructions burned: 1 (million)
% 0.19/1.41 % (1263572)------------------------------
% 0.19/1.41 % (1263572)------------------------------
% 0.19/1.41 % (1263486)Success in time 0.538 s
% 0.19/1.41 % Vampire exiting
%------------------------------------------------------------------------------