%------------------------------------------------------------------------------
% File : Vampire-SAT---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 SAT
% 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 02:06:24 PM UTC 2026
% Result : Unsatisfiable 0.18s 0.26s
% Output : Refutation 0.18s
% 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
% 0.00/0.02 % 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 SAT
% 0.09/0.18 % Computer : n006.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Mon Sep 28 15:18:40 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.21 Running first-order model finding
% 0.09/0.21 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.26 % (4046329)Will run a generic schedule for satisfiability detection.
% 0.18/0.26 % (4046334)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=660246759_2999 on theBenchmark for (2999ds/0Mi)
% 0.18/0.26 % TRYING [1]
% 0.18/0.26 % TRYING [2]
% 0.18/0.26 % TRYING [3]
% 0.18/0.26 % TRYING [4]
% 0.18/0.26 % TRYING [5]
% 0.18/0.26 % (4046335)% WARNING: option uhcvi not known.
% 0.18/0.26 % TRYING [6]
% 0.18/0.26 % TRYING [7]
% 0.18/0.26 % (4046335)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2401927689:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.18/0.26 % (4046336)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4232276777:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.18/0.26 % (4046337)dis+10_1_sil=32000:sp=arity:random_seed=531742755:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.18/0.26 % (4046338)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1908278772:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.18/0.26 % (4046340)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3750994308:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.18/0.26 % TRYING [8]
% 0.18/0.26 % (4046339)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4239459115:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.18/0.26 % (4046337) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-4046329-4046337"...
% 0.18/0.26 % (4046335) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-4046329-4046335"...
% 0.18/0.26 % (4046338) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-4046329-4046338"...
% 0.18/0.26 % (4046340) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-4046329-4046340"...
% 0.18/0.26 % (4046339) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-4046329-4046339"...
% 0.18/0.26 % (4046336) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-4046329-4046336"...
% 0.18/0.26 % (4046338)...printing done.
% 0.18/0.26 % (4046335)...printing done.
% 0.18/0.26 % (4046337)...printing done.
% 0.18/0.26 % (4046340)...printing done.
% 0.18/0.26 % (4046339)...printing done.
% 0.18/0.26 % (4046338)Refutation found. Thanks to Tanya!
% 0.18/0.26 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.26 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.26 % (4046338)------------------------------
% 0.18/0.26 % (4046338)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.26 % (4046338)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.26 % (4046338)CaDiCaL version: 2.1.3
% 0.18/0.26 % (4046338)Termination reason: Refutation
% 0.18/0.26 % (4046338)Time elapsed: 0.001 s
% 0.18/0.26 % (4046338)Peak memory usage: 11 MB
% 0.18/0.26 % (4046338)Instructions burned: 1 (million)
% 0.18/0.26 % (4046329)Success in time 0.04 s
% 0.18/0.26 % Vampire exiting
%------------------------------------------------------------------------------