%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN057+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 02:06:35 PM UTC 2026
% Result : Theorem 0.09s 0.16s
% Output : Refutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 28 ( 8 unt; 0 def)
% Number of atoms : 63 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 65 ( 30 ~; 23 |; 6 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-1 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 23 ( 20 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
? [X0] :
( big_f(X0)
& ~ big_g(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel27_1) ).
fof(f2,axiom,
! [X0] :
( big_f(X0)
=> big_h(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel27_2) ).
fof(f3,axiom,
! [X0] :
( ( big_j(X0)
& big_i(X0) )
=> big_f(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel27_3) ).
fof(f4,axiom,
( ? [X0] :
( big_h(X0)
& ~ big_g(X0) )
=> ! [X1] :
( big_i(X1)
=> ~ big_h(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel27_4) ).
fof(f5,conjecture,
! [X0] :
( big_j(X0)
=> ~ big_i(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel27) ).
fof(f6,negated_conjecture,
~ ! [X0] :
( big_j(X0)
=> ~ big_i(X0) ),
inference(negated_conjecture,[status(cth)],[f5]) ).
fof(f7,plain,
! [X0] :
( big_h(X0)
| ~ big_f(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f8,plain,
! [X0] :
( big_f(X0)
| ~ big_j(X0)
| ~ big_i(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f9,plain,
! [X0] :
( big_f(X0)
| ~ big_j(X0)
| ~ big_i(X0) ),
inference(flattening,[],[f8]) ).
fof(f10,plain,
( ! [X1] :
( ~ big_h(X1)
| ~ big_i(X1) )
| ! [X0] :
( ~ big_h(X0)
| big_g(X0) ) ),
inference(ennf_transformation,[],[f4]) ).
fof(f11,plain,
? [X0] :
( big_i(X0)
& big_j(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f12,plain,
( big_f(sK0)
& ~ big_g(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f1]) ).
fof(f13,plain,
( ! [X0] :
( ~ big_h(X0)
| ~ big_i(X0) )
| ! [X1] :
( ~ big_h(X1)
| big_g(X1) ) ),
inference(rectify,[],[f10]) ).
fof(f14,plain,
( big_i(sK1)
& big_j(sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X0,sK1)],[f11]) ).
fof(f15,plain,
~ big_g(sK0),
inference(cnf_transformation,[],[f12]) ).
fof(f16,plain,
big_f(sK0),
inference(cnf_transformation,[],[f12]) ).
fof(f17,plain,
! [X0] :
( big_h(X0)
| ~ big_f(X0) ),
inference(cnf_transformation,[],[f7]) ).
fof(f18,plain,
! [X0] :
( big_f(X0)
| ~ big_j(X0)
| ~ big_i(X0) ),
inference(cnf_transformation,[],[f9]) ).
fof(f19,plain,
! [X0,X1] :
( ~ big_h(X0)
| ~ big_i(X0)
| ~ big_h(X1)
| big_g(X1) ),
inference(cnf_transformation,[],[f13]) ).
fof(f20,plain,
big_j(sK1),
inference(cnf_transformation,[],[f14]) ).
fof(f21,plain,
big_i(sK1),
inference(cnf_transformation,[],[f14]) ).
fof(f22,plain,
big_g(sK0),
inference(consistent_polarity_flipping,[],[f15]) ).
fof(f23,plain,
! [X0] :
( ~ big_h(X0)
| ~ big_f(X0) ),
inference(consistent_polarity_flipping,[],[f17]) ).
fof(f24,plain,
! [X0] :
( big_f(X0)
| big_j(X0)
| big_i(X0) ),
inference(consistent_polarity_flipping,[],[f18]) ).
fof(f25,plain,
! [X0,X1] :
( big_h(X0)
| big_i(X0)
| big_h(X1)
| ~ big_g(X1) ),
inference(consistent_polarity_flipping,[],[f19]) ).
fof(f26,plain,
~ big_i(sK1),
inference(consistent_polarity_flipping,[],[f21]) ).
fof(f27,plain,
~ big_j(sK1),
inference(consistent_polarity_flipping,[],[f20]) ).
fof(f34,plain,
$false,
inference(finite_model_not_found_(exhaustively_excluded_all_possible_domain_size_assignments),[],[f16,f22,f23,f24,f25,f26,f27]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SYN057+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 15:26:34 UTC 2026
% 0.09/0.11 % CPUTime :
% 0.09/0.11 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 % (3455904)Will run a generic schedule for satisfiability detection.
% 0.09/0.16 % (3455910)% WARNING: option uhcvi not known.
% 0.09/0.16 % (3455909)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3474181678_2999 on theBenchmark for (2999ds/0Mi)
% 0.09/0.16 % (3455911)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2275638714:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.09/0.16 % (3455912)dis+10_1_sil=32000:sp=arity:random_seed=3755620488:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.09/0.16 % (3455910)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1175526923:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.09/0.16 % (3455913)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3110065395:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.09/0.16 % (3455914)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2033235143:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.09/0.16 % (3455915)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2045846056:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.09/0.16 % Detected minimum model sizes of [1]
% 0.09/0.16 % Detected maximum model sizes of [2]
% 0.09/0.16 % TRYING [1]
% 0.09/0.16 % TRYING [2]
% 0.09/0.16 % (3455909) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3455904-3455909"...
% 0.09/0.16 % (3455912) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3455904-3455912"...
% 0.09/0.16 % (3455910) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3455904-3455910"...
% 0.09/0.16 % (3455913) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3455904-3455913"...
% 0.09/0.16 % (3455914) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3455904-3455914"...
% 0.09/0.16 % (3455915) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3455904-3455915"...
% 0.09/0.16 % (3455911) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3455904-3455911"...
% 0.09/0.16 % (3455909)...printing done.
% 0.09/0.16 % (3455913)...printing done.
% 0.09/0.16 % (3455912)...printing done.
% 0.09/0.16 % (3455910)...printing done.
% 0.09/0.16 % (3455914)...printing done.
% 0.09/0.16 % (3455915)...printing done.
% 0.09/0.16 % (3455911)...printing done.
% 0.09/0.16 % (3455909)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 % (3455909)------------------------------
% 0.09/0.16 % (3455909)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.16 % (3455909)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.16 % (3455909)CaDiCaL version: 2.1.3
% 0.09/0.16 % (3455909)Termination reason: Refutation
% 0.09/0.16 % (3455909)Time elapsed: 0.001 s
% 0.09/0.16 % (3455909)Peak memory usage: 11 MB
% 0.09/0.16 % (3455909)Instructions burned: 1 (million)
% 0.09/0.16 % (3455904)Success in time 0.026 s
% 0.09/0.16 % Vampire exiting
%------------------------------------------------------------------------------