%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN367+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/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 02:07:29 PM UTC 2026
% Result : Theorem 0.05s 0.18s
% Output : Refutation 0.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 1
% Syntax : Number of formulae : 19 ( 4 unt; 0 def)
% Number of atoms : 62 ( 0 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 68 ( 25 ~; 18 |; 22 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 2 prp; 0-1 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 25 ( 19 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
( ! [X0] :
( ( p
& big_q(X0) )
| ( ~ p
& big_r(X0) ) )
=> ( ! [X0] : big_q(X0)
| ! [X0] : big_r(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',x2118) ).
fof(f2,negated_conjecture,
~ ( ! [X0] :
( ( p
& big_q(X0) )
| ( ~ p
& big_r(X0) ) )
=> ( ! [X0] : big_q(X0)
| ! [X0] : big_r(X0) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
~ ( ! [X0] :
( ( p
& big_q(X0) )
| ( ~ p
& big_r(X0) ) )
=> ( ! [X1] : big_q(X1)
| ! [X2] : big_r(X2) ) ),
inference(rectify,[],[f2]) ).
fof(f4,plain,
( ? [X1] : ~ big_q(X1)
& ? [X2] : ~ big_r(X2)
& ! [X0] :
( ( p
& big_q(X0) )
| ( ~ p
& big_r(X0) ) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f5,plain,
( ? [X1] : ~ big_q(X1)
& ? [X2] : ~ big_r(X2)
& ! [X0] :
( ( p
& big_q(X0) )
| ( ~ p
& big_r(X0) ) ) ),
inference(flattening,[],[f4]) ).
fof(f6,plain,
( ? [X0] : ~ big_q(X0)
& ? [X1] : ~ big_r(X1)
& ! [X2] :
( ( p
& big_q(X2) )
| ( ~ p
& big_r(X2) ) ) ),
inference(rectify,[],[f5]) ).
fof(f7,plain,
( ~ big_q(sK0)
& ~ big_r(sK1)
& ! [X2] :
( ( p
& big_q(X2) )
| ( ~ p
& big_r(X2) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f6]) ).
fof(f8,plain,
! [X2] :
( big_q(X2)
| big_r(X2) ),
inference(cnf_transformation,[],[f7]) ).
fof(f9,plain,
! [X2] :
( big_q(X2)
| ~ p ),
inference(cnf_transformation,[],[f7]) ).
fof(f10,plain,
! [X2] :
( p
| big_r(X2) ),
inference(cnf_transformation,[],[f7]) ).
fof(f11,plain,
( p
| ~ p ),
inference(cnf_transformation,[],[f7]) ).
fof(f12,plain,
~ big_r(sK1),
inference(cnf_transformation,[],[f7]) ).
fof(f13,plain,
~ big_q(sK0),
inference(cnf_transformation,[],[f7]) ).
fof(f14,plain,
big_q(sK0),
inference(consistent_polarity_flipping,[],[f13]) ).
fof(f15,plain,
( ~ p
| p ),
inference(consistent_polarity_flipping,[],[f11]) ).
fof(f16,plain,
! [X0] :
( ~ p
| big_r(X0) ),
inference(consistent_polarity_flipping,[],[f10]) ).
fof(f17,plain,
! [X0] :
( ~ big_q(X0)
| p ),
inference(consistent_polarity_flipping,[],[f9]) ).
fof(f18,plain,
! [X0] :
( ~ big_q(X0)
| big_r(X0) ),
inference(consistent_polarity_flipping,[],[f8]) ).
fof(f21,plain,
$false,
inference(finite_model_not_found_(exhaustively_excluded_all_possible_domain_size_assignments),[],[f14,f12,f15,f16,f17,f18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SYN367+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.05/0.13 % Computer : n012.cluster.edu
% 0.05/0.13 % Model : x86_64 x86_64
% 0.05/0.13 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.05/0.13 % Memory : 8046.5625MB
% 0.05/0.13 % OS : Linux 6.8.0-71-generic
% 0.05/0.13 % CPULimit : 300
% 0.05/0.13 % WCLimit : 300
% 0.05/0.13 % DateTime : Mon Sep 28 15:48:49 UTC 2026
% 0.05/0.13 % CPUTime :
% 0.05/0.13 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.05/0.14 Running first-order model finding
% 0.05/0.14 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
% 0.05/0.17 % (3475962)Will run a generic schedule for satisfiability detection.
% 0.05/0.17 % (3475968)% WARNING: option uhcvi not known.
% 0.05/0.17 % (3475967)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1197608493_2999 on theBenchmark for (2999ds/0Mi)
% 0.05/0.17 % (3475969)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2425672078:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.05/0.17 % (3475968)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4274779870:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.05/0.17 % (3475970)dis+10_1_sil=32000:sp=arity:random_seed=219758171:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.05/0.17 % (3475971)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2006213486:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.05/0.17 % (3475972)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3864633854:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.05/0.17 % (3475973)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2929957952:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.05/0.18 % Detected minimum model sizes of [1]
% 0.05/0.18 % Detected maximum model sizes of [2]
% 0.05/0.18 % TRYING [1]
% 0.05/0.18 % TRYING [2]
% 0.05/0.18 % (3475967) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3475962-3475967"...
% 0.05/0.18 % (3475970) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3475962-3475970"...
% 0.05/0.18 % (3475968) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3475962-3475968"...
% 0.05/0.18 % (3475969) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3475962-3475969"...
% 0.05/0.18 % (3475971) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3475962-3475971"...
% 0.05/0.18 % (3475972) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3475962-3475972"...
% 0.05/0.18 % (3475973) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3475962-3475973"...
% 0.05/0.18 % (3475967)...printing done.
% 0.05/0.18 % (3475968)...printing done.
% 0.05/0.18 % (3475970)...printing done.
% 0.05/0.18 % (3475969)...printing done.
% 0.05/0.18 % (3475971)...printing done.
% 0.05/0.18 % (3475972)...printing done.
% 0.05/0.18 % (3475973)...printing done.
% 0.05/0.18 % (3475967)Refutation found. Thanks to Tanya!
% 0.05/0.18 % SZS status Theorem for theBenchmark
% 0.05/0.18 % SZS output start Proof for theBenchmark
% See solution above
% 0.05/0.18 % (3475967)------------------------------
% 0.05/0.18 % (3475967)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.05/0.18 % (3475967)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.05/0.18 % (3475967)CaDiCaL version: 2.1.3
% 0.05/0.18 % (3475967)Termination reason: Refutation
% 0.05/0.18 % (3475967)Time elapsed: 0.001 s
% 0.05/0.18 % (3475967)Peak memory usage: 11 MB
% 0.05/0.18 % (3475962)Success in time 0.027 s
% 0.05/0.18 % Vampire exiting
%------------------------------------------------------------------------------