%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN929+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n012.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 02:22:53 PM UTC 2026
% Result : Theorem 0.08s 0.14s
% Output : Refutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 1
% Syntax : Number of formulae : 9 ( 3 unt; 0 def)
% Number of atoms : 21 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 24 ( 12 ~; 0 |; 6 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 17 ( 7 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
( ~ ? [X0] : p(X0)
=> ! [X0] :
( ? [X1] : p(X1)
=> p(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f2,negated_conjecture,
~ ( ~ ? [X0] : p(X0)
=> ! [X0] :
( ? [X1] : p(X1)
=> p(X0) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
~ ( ~ ? [X0] : p(X0)
=> ! [X1] :
( ? [X2] : p(X2)
=> p(X1) ) ),
inference(rectify,[],[f2]) ).
fof(f4,plain,
( ? [X1] :
( ~ p(X1)
& ? [X2] : p(X2) )
& ! [X0] : ~ p(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f5,plain,
( ? [X0] :
( ~ p(X0)
& ? [X1] : p(X1) )
& ! [X2] : ~ p(X2) ),
inference(rectify,[],[f4]) ).
fof(f6,plain,
( ~ p(sK0)
& p(sK1)
& ! [X2] : ~ p(X2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f5]) ).
fof(f7,plain,
! [X2] : ~ p(X2),
inference(cnf_transformation,[],[f6]) ).
fof(f8,plain,
p(sK1),
inference(cnf_transformation,[],[f6]) ).
fof(f10,plain,
$false,
inference(forward_subsumption_resolution,[],[f8,f7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SYN929+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.02 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.00/0.09 % Computer : n012.cluster.edu
% 0.00/0.09 % Model : x86_64 x86_64
% 0.00/0.09 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.09 % Memory : 8046.5625MB
% 0.00/0.09 % OS : Linux 6.8.0-71-generic
% 0.00/0.09 % CPULimit : 300
% 0.00/0.09 % WCLimit : 300
% 0.00/0.09 % DateTime : Mon Sep 28 17:13:49 UTC 2026
% 0.00/0.09 % CPUTime :
% 0.00/0.09 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.00/0.11 Running first-order model finding
% 0.00/0.11 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.14 % (3520868)Will run a generic schedule for satisfiability detection.
% 0.08/0.14 % (3520874)% WARNING: option uhcvi not known.
% 0.08/0.14 % (3520874)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=347496224:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.08/0.14 % (3520875)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3952132621:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.08/0.14 % (3520873)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1857785234_2999 on theBenchmark for (2999ds/0Mi)
% 0.08/0.14 % (3520876)dis+10_1_sil=32000:sp=arity:random_seed=820878207:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.08/0.14 % (3520877)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=660896127:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.08/0.14 % (3520878)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4247842562:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.08/0.14 % Detected minimum model sizes of [1]
% 0.08/0.14 % Detected maximum model sizes of [2]
% 0.08/0.14 % (3520879)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2593938891:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.08/0.14 % TRYING [1]
% 0.08/0.14 % (3520874) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3520868-3520874"...
% 0.08/0.14 % (3520875) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3520868-3520875"...
% 0.08/0.14 % TRYING [2]
% 0.08/0.14 % (3520876) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3520868-3520876"...
% 0.08/0.14 % (3520873) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3520868-3520873"...
% 0.08/0.14 % (3520877) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3520868-3520877"...
% 0.08/0.14 % (3520878) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3520868-3520878"...
% 0.08/0.14 % (3520879) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3520868-3520879"...
% 0.08/0.14 % (3520875)...printing done.
% 0.08/0.14 % (3520874)...printing done.
% 0.08/0.14 % (3520876)...printing done.
% 0.08/0.14 % (3520873)...printing done.
% 0.08/0.14 % (3520877)...printing done.
% 0.08/0.14 % (3520878)...printing done.
% 0.08/0.14 % (3520879)...printing done.
% 0.08/0.14 % (3520875)Refutation found. Thanks to Tanya!
% 0.08/0.14 % SZS status Theorem for theBenchmark
% 0.08/0.14 % SZS output start Proof for theBenchmark
% See solution above
% 0.08/0.14 % (3520875)------------------------------
% 0.08/0.14 % (3520875)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.14 % (3520875)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.14 % (3520875)CaDiCaL version: 2.1.3
% 0.08/0.14 % (3520875)Termination reason: Refutation
% 0.08/0.14 % (3520875)Time elapsed: 0.0000 s
% 0.08/0.14 % (3520875)Peak memory usage: 11 MB
% 0.08/0.14 % (3520868)Success in time 0.027 s
% 0.08/0.14 % Vampire exiting
%------------------------------------------------------------------------------