%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU294+3 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n018.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 12:48:12 PM UTC 2026
% Result : Theorem 5.36s 1.84s
% Output : Refutation 5.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 3
% Syntax : Number of formulae : 19 ( 5 unt; 0 def)
% Number of atoms : 41 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 38 ( 16 ~; 8 |; 8 &)
% ( 1 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 24 ( 20 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
! [X0] :
( finite(X0)
=> ! [X1] :
( element(X1,powerset(X0))
=> finite(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc2_finset_1) ).
fof(f46,conjecture,
! [X0,X1] :
( ( subset(X0,X1)
& finite(X1) )
=> finite(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t13_finset_1) ).
fof(f47,negated_conjecture,
~ ! [X0,X1] :
( ( subset(X0,X1)
& finite(X1) )
=> finite(X0) ),
inference(negated_conjecture,[status(cth)],[f46]) ).
fof(f50,axiom,
! [X0,X1] :
( element(X0,powerset(X1))
<=> subset(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_subset) ).
fof(f57,plain,
! [X0,X1] :
( subset(X0,X1)
=> element(X0,powerset(X1)) ),
inference(unused_predicate_definition_removal,[],[f50]) ).
fof(f86,plain,
! [X0] :
( ! [X1] :
( finite(X1)
| ~ element(X1,powerset(X0)) )
| ~ finite(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f96,plain,
? [X0,X1] :
( ~ finite(X0)
& subset(X0,X1)
& finite(X1) ),
inference(ennf_transformation,[],[f47]) ).
fof(f97,plain,
? [X0,X1] :
( ~ finite(X0)
& subset(X0,X1)
& finite(X1) ),
inference(flattening,[],[f96]) ).
fof(f101,plain,
! [X0,X1] :
( element(X0,powerset(X1))
| ~ subset(X0,X1) ),
inference(ennf_transformation,[],[f57]) ).
fof(f134,plain,
( ~ finite(sK26)
& subset(sK26,sK27)
& finite(sK27) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK26,sK27]),skolemize(X0,sK26),skolemize(X1,sK27)],[f97]) ).
fof(f147,plain,
! [X0,X1] :
( finite(X1)
| ~ element(X1,powerset(X0))
| ~ finite(X0) ),
inference(cnf_transformation,[],[f86]) ).
fof(f243,plain,
finite(sK27),
inference(cnf_transformation,[],[f134]) ).
fof(f244,plain,
subset(sK26,sK27),
inference(cnf_transformation,[],[f134]) ).
fof(f245,plain,
~ finite(sK26),
inference(cnf_transformation,[],[f134]) ).
fof(f248,plain,
! [X0,X1] :
( element(X0,powerset(X1))
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f101]) ).
fof(f255,plain,
! [X0] :
( ~ element(sK26,powerset(X0))
| ~ finite(X0) ),
inference(resolution,[],[f147,f245]) ).
fof(f256,plain,
! [X0] :
( ~ subset(sK26,X0)
| ~ finite(X0) ),
inference(resolution,[],[f255,f248]) ).
fof(f257,plain,
~ finite(sK27),
inference(resolution,[],[f256,f244]) ).
fof(f259,plain,
$false,
inference(forward_subsumption_resolution,[],[f257,f243]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SEU294+3 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.18/0.43 % Computer : n018.cluster.edu
% 0.18/0.43 % Model : x86_64 x86_64
% 0.18/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.43 % Memory : 8046.5625MB
% 0.18/0.43 % OS : Linux 6.8.0-71-generic
% 0.18/0.43 % CPULimit : 300
% 0.18/0.43 % WCLimit : 300
% 0.18/0.43 % DateTime : Mon Sep 28 04:34:39 UTC 2026
% 0.18/0.43 % CPUTime :
% 0.18/0.43 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.23/0.49 Running first-order theorem proving
% 0.23/0.49 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.36/1.84 % (2991663)Detected formulas, will run a generic FOF schedule.
% 5.36/1.84 % (2991671)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=244623301:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 5.36/1.84 % (2991671)Refutation not found, incomplete strategy
% 5.36/1.84 % (2991671)------------------------------
% 5.36/1.84 % (2991671)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.36/1.84 % (2991671)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.36/1.84 % (2991671)CaDiCaL version: 2.1.3
% 5.36/1.84 % (2991671)Termination reason: Refutation not found, incomplete strategy
% 5.36/1.84 % (2991671)Time elapsed: 0.001 s
% 5.36/1.84 % (2991671)Peak memory usage: 88 MB
% 5.36/1.84 % (2991674)dis-21_1_sil=8000:lcm=predicate:random_seed=2729830417:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 5.36/1.84 % (2991673)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2080514622:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 5.36/1.84 % (2991668)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3844970987:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 5.36/1.84 % (2991669)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=60325602:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 5.36/1.84 % (2991670)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=3779217278:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 5.36/1.84 % (2991673)First to succeed.
% 5.36/1.84 % (2991673)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2991663"
% 5.36/1.84 % (2991674)Also succeeded, but the first one will report.
% 5.36/1.84 % (2991672)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4288616095:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 5.36/1.84 % (2991672)Also succeeded, but the first one will report.
% 5.36/1.84 % (2991671)------------------------------
% 5.36/1.84 % (2991671)------------------------------
% 5.36/1.84 % (2991673)Refutation found. Thanks to Tanya!
% 5.36/1.84 % SZS status Theorem for theBenchmark
% 5.36/1.84 % SZS output start Proof for theBenchmark
% See solution above
% 5.36/1.84 % (2991673)------------------------------
% 5.36/1.84 % (2991673)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.36/1.84 % (2991673)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.36/1.84 % (2991673)CaDiCaL version: 2.1.3
% 5.36/1.84 % (2991673)Termination reason: Refutation
% 5.36/1.84 % (2991673)Time elapsed: 0.005 s
% 5.36/1.84 % (2991673)Peak memory usage: 89 MB
% 5.36/1.84 % (2991673)Instructions burned: 3 (million)
% 5.36/1.84 % (2991673)------------------------------
% 5.36/1.84 % (2991673)------------------------------
% 5.36/1.84 % (2991663)Success in time 0.655 s
% 5.36/1.84 % Vampire exiting
%------------------------------------------------------------------------------