%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN360+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 02:07:28 PM UTC 2026
% Result : Theorem 0.09s 0.16s
% Output : Refutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 1
% Syntax : Number of formulae : 12 ( 5 unt; 0 def)
% Number of atoms : 29 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 28 ( 11 ~; 4 |; 7 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 43 ( 31 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
( ( ! [X0] :
( ? [X1] : big_p(X0,X1)
=> ! [X1] : big_q(X0,X1) )
& ! [X2] :
? [X1] : big_p(X2,X1) )
=> ! [X1,X0] : big_q(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',x2111) ).
fof(f2,negated_conjecture,
~ ( ( ! [X0] :
( ? [X1] : big_p(X0,X1)
=> ! [X1] : big_q(X0,X1) )
& ! [X2] :
? [X1] : big_p(X2,X1) )
=> ! [X1,X0] : big_q(X0,X1) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
~ ( ( ! [X0] :
( ? [X1] : big_p(X0,X1)
=> ! [X2] : big_q(X0,X2) )
& ! [X3] :
? [X4] : big_p(X3,X4) )
=> ! [X5,X6] : big_q(X6,X5) ),
inference(rectify,[],[f2]) ).
fof(f4,plain,
( ? [X5,X6] : ~ big_q(X6,X5)
& ! [X0] :
( ! [X2] : big_q(X0,X2)
| ! [X1] : ~ big_p(X0,X1) )
& ! [X3] :
? [X4] : big_p(X3,X4) ),
inference(ennf_transformation,[],[f3]) ).
fof(f5,plain,
( ? [X5,X6] : ~ big_q(X6,X5)
& ! [X0] :
( ! [X2] : big_q(X0,X2)
| ! [X1] : ~ big_p(X0,X1) )
& ! [X3] :
? [X4] : big_p(X3,X4) ),
inference(flattening,[],[f4]) ).
fof(f6,plain,
! [X2,X0,X1] :
( ~ big_p(X0,X1)
| big_q(X0,X2) ),
inference(cnf_transformation,[],[f5]) ).
fof(f7,plain,
! [X3] : big_p(X3,sK2(X3)),
inference(cnf_transformation,[],[f5]) ).
fof(f8,plain,
~ big_q(sK1,sK0),
inference(cnf_transformation,[],[f5]) ).
fof(f9,plain,
big_q(sK1,sK0),
inference(consistent_polarity_flipping,[],[f8]) ).
fof(f10,plain,
! [X2,X0,X1] :
( ~ big_q(X0,X2)
| ~ big_p(X0,X1) ),
inference(consistent_polarity_flipping,[],[f6]) ).
fof(f11,plain,
! [X0] : ~ big_p(sK1,X0),
inference(resolution,[],[f10,f9]) ).
fof(f12,plain,
$false,
inference(resolution,[],[f11,f7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SYN360+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.00/0.11 % Computer : n012.cluster.edu
% 0.00/0.11 % Model : x86_64 x86_64
% 0.00/0.11 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.11 % Memory : 8046.5625MB
% 0.00/0.11 % OS : Linux 6.8.0-71-generic
% 0.00/0.11 % CPULimit : 300
% 0.00/0.11 % WCLimit : 300
% 0.00/0.11 % DateTime : Mon Sep 28 15:48:19 UTC 2026
% 0.00/0.11 % CPUTime :
% 0.00/0.11 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.13 Running first-order model finding
% 0.09/0.13 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
% 0.09/0.16 % (3474137)Will run a generic schedule for satisfiability detection.
% 0.09/0.16 % (3474161)% WARNING: option uhcvi not known.
% 0.09/0.16 % (3474160)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2058805432_2999 on theBenchmark for (2999ds/0Mi)
% 0.09/0.16 % (3474163)dis+10_1_sil=32000:sp=arity:random_seed=849269113:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.09/0.16 % (3474161)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=605691454:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.09/0.16 % (3474162)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2372482401:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.09/0.16 % (3474164)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=437560829:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.09/0.16 % (3474166)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=214253793:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.09/0.16 % (3474165)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1707417819:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.09/0.16 % TRYING [1]
% 0.09/0.16 % (3474163) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3474137-3474163"...
% 0.09/0.16 % (3474164) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3474137-3474164"...
% 0.09/0.16 % (3474161) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3474137-3474161"...
% 0.09/0.16 % TRYING [2]
% 0.09/0.16 % (3474166) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3474137-3474166"...
% 0.09/0.16 % (3474160) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3474137-3474160"...
% 0.09/0.16 % (3474162) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3474137-3474162"...
% 0.09/0.16 % (3474165) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3474137-3474165"...
% 0.09/0.16 % (3474161)...printing done.
% 0.09/0.16 % (3474164)...printing done.
% 0.09/0.16 % (3474163)...printing done.
% 0.09/0.16 % (3474166)...printing done.
% 0.09/0.16 % (3474160)...printing done.
% 0.09/0.16 % (3474162)...printing done.
% 0.09/0.16 % (3474165)...printing done.
% 0.09/0.16 % (3474161)Refutation found. Thanks to Tanya!
% 0.09/0.16 % SZS status Theorem for theBenchmark
% 0.09/0.16 % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.16 % (3474161)------------------------------
% 0.09/0.16 % (3474161)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.16 % (3474161)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.16 % (3474161)CaDiCaL version: 2.1.3
% 0.09/0.16 % (3474161)Termination reason: Refutation
% 0.09/0.16 % (3474161)Time elapsed: 0.0000 s
% 0.09/0.16 % (3474161)Peak memory usage: 11 MB
% 0.09/0.16 % (3474137)Success in time 0.031 s
% 0.09/0.16 % Vampire exiting
%------------------------------------------------------------------------------