%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU295+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n003.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 12:52:46 PM UTC 2026
% Result : Theorem 0.17s 0.50s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 21 ( 12 unt; 0 def)
% Number of atoms : 35 ( 2 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 27 ( 13 ~; 9 |; 2 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 27 ( 25 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f251,axiom,
! [X0,X1] :
( ( subset(X0,X1)
& finite(X1) )
=> finite(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t13_finset_1) ).
fof(f261,conjecture,
! [X0,X1] :
( finite(X0)
=> finite(set_intersection2(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t15_finset_1) ).
fof(f262,negated_conjecture,
~ ! [X0,X1] :
( finite(X0)
=> finite(set_intersection2(X0,X1)) ),
inference(negated_conjecture,[status(cth)],[f261]) ).
fof(f317,axiom,
! [X0,X1] : subset(set_difference(X0,X1),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t36_xboole_1) ).
fof(f345,axiom,
! [X0,X1] : set_difference(X0,set_difference(X0,X1)) = set_intersection2(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t48_xboole_1) ).
fof(f641,plain,
! [X0,X1] :
( finite(X0)
| ~ subset(X0,X1)
| ~ finite(X1) ),
inference(ennf_transformation,[],[f251]) ).
fof(f642,plain,
! [X0,X1] :
( finite(X0)
| ~ subset(X0,X1)
| ~ finite(X1) ),
inference(flattening,[],[f641]) ).
fof(f656,plain,
? [X0,X1] :
( ~ finite(set_intersection2(X0,X1))
& finite(X0) ),
inference(ennf_transformation,[],[f262]) ).
fof(f1718,plain,
! [X0,X1] :
( ~ finite(X1)
| ~ subset(X0,X1)
| finite(X0) ),
inference(cnf_transformation,[],[f642]) ).
fof(f1731,plain,
finite(sK244),
inference(cnf_transformation,[],[f656]) ).
fof(f1732,plain,
~ finite(set_intersection2(sK244,sK245)),
inference(cnf_transformation,[],[f656]) ).
fof(f1821,plain,
! [X0,X1] : subset(set_difference(X0,X1),X0),
inference(cnf_transformation,[],[f317]) ).
fof(f1867,plain,
! [X0,X1] : set_intersection2(X0,X1) = set_difference(X0,set_difference(X0,X1)),
inference(cnf_transformation,[],[f345]) ).
fof(f2253,plain,
~ finite(set_difference(sK244,set_difference(sK244,sK245))),
inference(definition_unfolding,[],[f1732,f1867]) ).
fof(f3290,plain,
! [X0,X1] :
( ~ finite(X0)
| subset(X0,X1)
| finite(X1) ),
inference(consistent_polarity_flipping,[],[f1718]) ).
fof(f3303,plain,
finite(set_difference(sK244,set_difference(sK244,sK245))),
inference(consistent_polarity_flipping,[],[f2253]) ).
fof(f3304,plain,
~ finite(sK244),
inference(consistent_polarity_flipping,[],[f1731]) ).
fof(f3388,plain,
! [X0,X1] : ~ subset(set_difference(X0,X1),X0),
inference(consistent_polarity_flipping,[],[f1821]) ).
fof(f3676,plain,
! [X0] :
( subset(set_difference(sK244,set_difference(sK244,sK245)),X0)
| finite(X0) ),
inference(resolution,[],[f3290,f3303]) ).
fof(f3678,plain,
finite(sK244),
inference(resolution,[],[f3676,f3388]) ).
fof(f3682,plain,
$false,
inference(forward_subsumption_resolution,[],[f3678,f3304]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU295+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.37 % Computer : n003.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 28 04:34:27 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.40 Running first-order model finding
% 0.11/0.40 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
% 0.17/0.50 % (1188876)Will run a generic schedule for satisfiability detection.
% 0.17/0.50 % (1188885)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=96202119:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/0.50 % (1188882)% WARNING: option uhcvi not known.
% 0.17/0.50 % (1188883)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1021198739:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.17/0.50 % (1188881)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2190372541_2999 on theBenchmark for (2999ds/0Mi)
% 0.17/0.50 % (1188882)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1365972560:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.17/0.50 % (1188884)dis+10_1_sil=32000:sp=arity:random_seed=3434112991:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.17/0.50 % (1188887)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3722302496:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.17/0.50 % (1188886)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3181413674:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.17/0.50 % (1188885)Instruction limit reached!
% 0.17/0.50 % (1188885)------------------------------
% 0.17/0.50 % (1188885)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.50 % (1188885)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.50 % (1188885)CaDiCaL version: 2.1.3
% 0.17/0.50 % (1188885)Termination reason: Instruction limit
% 0.17/0.50 % (1188885)Termination phase: Saturation
% 0.17/0.50 % (1188885)Time elapsed: 0.033 s
% 0.17/0.50 % (1188885)Peak memory usage: 13 MB
% 0.17/0.50 % (1188885)Instructions burned: 120 (million)
% 0.17/0.50 % (1188882) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1188876-1188882"...
% 0.17/0.50 % (1188895)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1630846366:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.17/0.50 % (1188882)...printing done.
% 0.17/0.50 % (1188882)Refutation found. Thanks to Tanya!
% 0.17/0.50 % SZS status Theorem for theBenchmark
% 0.17/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.50 % (1188882)------------------------------
% 0.17/0.50 % (1188882)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.50 % (1188882)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.50 % (1188882)CaDiCaL version: 2.1.3
% 0.17/0.50 % (1188882)Termination reason: Refutation
% 0.17/0.50 % (1188882)Time elapsed: 0.038 s
% 0.17/0.50 % (1188882)Peak memory usage: 13 MB
% 0.17/0.50 % (1188882)Instructions burned: 67 (million)
% 0.17/0.50 % (1188876)Success in time 0.084 s
% 0.17/0.50 % Vampire exiting
%------------------------------------------------------------------------------