%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN049+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n011.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 02:06:33 PM UTC 2026
% Result : Theorem 0.09s 0.25s
% Output : Refutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 1
% Syntax : Number of formulae : 10 ( 4 unt; 0 def)
% Number of atoms : 26 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 26 ( 10 ~; 4 |; 6 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-1 aty)
% Number of functors : 2 ( 2 usr; 0 con; 1-1 aty)
% Number of variables : 17 ( 11 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
? [X0] :
! [X1,X2] :
( ( big_p(X1)
=> big_q(X2) )
=> ( big_p(X0)
=> big_q(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel19) ).
fof(f2,negated_conjecture,
~ ? [X0] :
! [X1,X2] :
( ( big_p(X1)
=> big_q(X2) )
=> ( big_p(X0)
=> big_q(X0) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
! [X0] :
? [X1,X2] :
( ~ big_q(X0)
& big_p(X0)
& ( big_q(X2)
| ~ big_p(X1) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f4,plain,
! [X0] :
? [X1,X2] :
( ~ big_q(X0)
& big_p(X0)
& ( big_q(X2)
| ~ big_p(X1) ) ),
inference(flattening,[],[f3]) ).
fof(f5,plain,
! [X0] :
( ~ big_q(X0)
& big_p(X0)
& ( big_q(sK1(X0))
| ~ big_p(sK0(X0)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X1,sK0(X0)),skolemize(X2,sK1(X0))],[f4]) ).
fof(f6,plain,
! [X0] :
( big_q(sK1(X0))
| ~ big_p(sK0(X0)) ),
inference(cnf_transformation,[],[f5]) ).
fof(f7,plain,
! [X0] : big_p(X0),
inference(cnf_transformation,[],[f5]) ).
fof(f8,plain,
! [X0] : ~ big_q(X0),
inference(cnf_transformation,[],[f5]) ).
fof(f9,plain,
! [X0] : ~ big_p(sK0(X0)),
inference(forward_subsumption_resolution,[],[f6,f8]) ).
fof(f10,plain,
$false,
inference(forward_subsumption_resolution,[],[f9,f7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN049+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.17 % Computer : n011.cluster.edu
% 0.09/0.17 % Model : x86_64 x86_64
% 0.09/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.17 % Memory : 8046.5625MB
% 0.09/0.17 % OS : Linux 6.8.0-71-generic
% 0.09/0.17 % CPULimit : 300
% 0.09/0.17 % WCLimit : 300
% 0.09/0.17 % DateTime : Mon Sep 28 15:26:46 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.21 Running first-order model finding
% 0.09/0.21 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
% 0.09/0.25 % (3465233)Will run a generic schedule for satisfiability detection.
% 0.09/0.25 % (3465238)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=772147151_2999 on theBenchmark for (2999ds/0Mi)
% 0.09/0.25 % (3465244)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1895955951:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.09/0.25 % (3465240)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2770458829:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.09/0.25 % (3465241)dis+10_1_sil=32000:sp=arity:random_seed=3165918819:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.09/0.25 % (3465242)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2651341607:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.09/0.25 % (3465243)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=675117094:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.09/0.25 % TRYING [1]
% 0.09/0.25 % (3465241) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3465233-3465241"...
% 0.09/0.25 % (3465244) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3465233-3465244"...
% 0.09/0.25 % (3465240) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3465233-3465240"...
% 0.09/0.25 % TRYING [2]
% 0.09/0.25 % (3465242) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3465233-3465242"...
% 0.09/0.25 % (3465243) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3465233-3465243"...
% 0.09/0.25 % TRYING [3]
% 0.09/0.25 % TRYING [4]
% 0.09/0.25 % TRYING [5]
% 0.09/0.25 % TRYING [6]
% 0.09/0.25 % (3465239)% WARNING: option uhcvi not known.
% 0.09/0.25 % TRYING [7]
% 0.09/0.25 % TRYING [8]
% 0.09/0.25 % (3465244)...printing done.
% 0.09/0.25 % (3465241)...printing done.
% 0.09/0.25 % (3465240)...printing done.
% 0.09/0.25 % (3465243)...printing done.
% 0.09/0.25 % (3465242)...printing done.
% 0.09/0.25 % TRYING [9]
% 0.09/0.25 % TRYING [10]
% 0.09/0.25 % TRYING [11]
% 0.09/0.25 % (3465241)Refutation found. Thanks to Tanya!
% 0.09/0.25 % SZS status Theorem for theBenchmark
% 0.09/0.25 % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.25 % (3465241)------------------------------
% 0.09/0.25 % (3465241)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.25 % (3465241)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.25 % (3465241)CaDiCaL version: 2.1.3
% 0.09/0.25 % (3465241)Termination reason: Refutation
% 0.09/0.25 % (3465241)Time elapsed: 0.001 s
% 0.09/0.25 % (3465241)Peak memory usage: 11 MB
% 0.09/0.25 % (3465233)Success in time 0.036 s
% 0.09/0.25 % Vampire exiting
%------------------------------------------------------------------------------