%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN923+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 02:22:52 PM UTC 2026
% Result : Theorem 0.08s 0.15s
% Output : Refutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 3
% Syntax : Number of formulae : 23 ( 9 unt; 2 def)
% Number of atoms : 45 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 39 ( 17 ~; 15 |; 2 &)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 20 ( 0 sgn 19 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
( ( ! [X0] : p(X0)
| ! [X0] : q(X0) )
=> ! [X0] :
( p(X0)
| q(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f2,negated_conjecture,
~ ( ( ! [X0] : p(X0)
| ! [X0] : q(X0) )
=> ! [X0] :
( p(X0)
| q(X0) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
~ ( ( ! [X0] : p(X0)
| ! [X1] : q(X1) )
=> ! [X2] :
( p(X2)
| q(X2) ) ),
inference(rectify,[],[f2]) ).
fof(f4,plain,
( ? [X2] :
( ~ p(X2)
& ~ q(X2) )
& ( ! [X0] : p(X0)
| ! [X1] : q(X1) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f5,plain,
~ q(sK0),
inference(cnf_transformation,[],[f4]) ).
fof(f6,plain,
~ p(sK0),
inference(cnf_transformation,[],[f4]) ).
fof(f7,plain,
! [X0,X1] :
( q(X1)
| p(X0) ),
inference(cnf_transformation,[],[f4]) ).
fof(f8,plain,
! [X0,X1] :
( q(X1)
| ~ p(X0) ),
inference(consistent_polarity_flipping,[],[f7]) ).
fof(f9,plain,
p(sK0),
inference(consistent_polarity_flipping,[],[f6]) ).
fof(f11,definition,
( spl1_1
<=> ! [X0] : ~ p(X0) ),
introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition]) ).
fof(f12,plain,
( ! [X0] : ~ p(X0)
| ~ spl1_1 ),
inference(avatar_component_clause,[],[f11]) ).
fof(f14,definition,
( spl1_2
<=> ! [X1] : q(X1) ),
introduced(definition,[new_symbols(definition,[spl1_2])],[avatar_definition]) ).
fof(f15,plain,
( ! [X1] : q(X1)
| ~ spl1_2 ),
inference(avatar_component_clause,[],[f14]) ).
fof(f16,plain,
( spl1_1
| spl1_2 ),
inference(avatar_split_clause,[],[f8,f14,f11]) ).
fof(f17,plain,
( $false
| ~ spl1_2 ),
inference(backward_subsumption_resolution,[],[f5,f15]) ).
fof(f18,plain,
~ spl1_2,
inference(avatar_contradiction_clause,[],[f17]) ).
fof(f19,plain,
( $false
| ~ spl1_1 ),
inference(backward_subsumption_resolution,[],[f9,f12]) ).
fof(f20,plain,
~ spl1_1,
inference(avatar_contradiction_clause,[],[f19]) ).
cnf(s1,plain,
( spl1_1
| spl1_2 ),
inference(sat_conversion,[],[f16]) ).
cnf(s2,plain,
~ spl1_2,
inference(sat_conversion,[],[f18]) ).
cnf(s3,plain,
~ spl1_1,
inference(sat_conversion,[],[f20]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s2,s3]) ).
fof(f21,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SYN923+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.02 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.00/0.10 % Computer : n012.cluster.edu
% 0.00/0.10 % Model : x86_64 x86_64
% 0.00/0.10 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.10 % Memory : 8046.5625MB
% 0.00/0.10 % OS : Linux 6.8.0-71-generic
% 0.00/0.10 % CPULimit : 300
% 0.00/0.10 % WCLimit : 300
% 0.00/0.10 % DateTime : Mon Sep 28 17:13:04 UTC 2026
% 0.00/0.10 % CPUTime :
% 0.00/0.10 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.11 Running first-order model finding
% 0.08/0.11 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
% 0.08/0.15 % (3519556)Will run a generic schedule for satisfiability detection.
% 0.08/0.15 % (3519562)% WARNING: option uhcvi not known.
% 0.08/0.15 % (3519562)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3888883388:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.08/0.15 % (3519561)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2536998136_2999 on theBenchmark for (2999ds/0Mi)
% 0.08/0.15 % (3519566)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=742511670:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.08/0.15 % (3519563)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2217904143:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.08/0.15 % (3519564)dis+10_1_sil=32000:sp=arity:random_seed=3982526569:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.08/0.15 % (3519565)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3820353771:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.08/0.15 % Detected minimum model sizes of [1]
% 0.08/0.15 % Detected maximum model sizes of [1]
% 0.08/0.15 % (3519567)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=657203644:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.08/0.15 % TRYING [1]
% 0.08/0.15 % (3519561) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3519556-3519561"...
% 0.08/0.15 % (3519562) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3519556-3519562"...
% 0.08/0.15 % (3519566) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3519556-3519566"...
% 0.08/0.15 % (3519564) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3519556-3519564"...
% 0.08/0.15 % (3519563) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3519556-3519563"...
% 0.08/0.15 % (3519565) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3519556-3519565"...
% 0.08/0.15 % (3519567) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3519556-3519567"...
% 0.08/0.15 % (3519562)...printing done.
% 0.08/0.15 % (3519561)...printing done.
% 0.08/0.15 % (3519566)...printing done.
% 0.08/0.15 % (3519564)...printing done.
% 0.08/0.15 % (3519563)...printing done.
% 0.08/0.15 % (3519565)...printing done.
% 0.08/0.15 % (3519567)...printing done.
% 0.08/0.15 % (3519562)Refutation found. Thanks to Tanya!
% 0.08/0.15 % SZS status Theorem for theBenchmark
% 0.08/0.15 % SZS output start Proof for theBenchmark
% See solution above
% 0.08/0.15 % (3519562)------------------------------
% 0.08/0.15 % (3519562)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.15 % (3519562)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.15 % (3519562)CaDiCaL version: 2.1.3
% 0.08/0.15 % (3519562)Termination reason: Refutation
% 0.08/0.15 % (3519562)Time elapsed: 0.001 s
% 0.08/0.15 % (3519562)Peak memory usage: 12 MB
% 0.08/0.15 % (3519556)Success in time 0.032 s
% 0.08/0.15 % Vampire exiting
%------------------------------------------------------------------------------