%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU294+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n005.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 3.43s 1.16s
% Output : Refutation 3.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 3
% Syntax : Number of formulae : 18 ( 5 unt; 0 def)
% Number of atoms : 41 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 40 ( 17 ~; 9 |; 9 &)
% ( 1 <=>; 4 =>; 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 : 22 ( 18 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10,axiom,
! [X0] :
( finite(X0)
=> ! [X1] :
( element(X1,powerset(X0))
=> finite(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc2_finset_1) ).
fof(f249,conjecture,
! [X0,X1] :
( ( subset(X0,X1)
& finite(X1) )
=> finite(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t13_finset_1) ).
fof(f250,negated_conjecture,
~ ! [X0,X1] :
( ( subset(X0,X1)
& finite(X1) )
=> finite(X0) ),
inference(negated_conjecture,[status(cth)],[f249]) ).
fof(f324,axiom,
! [X0,X1] :
( element(X0,powerset(X1))
<=> subset(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_subset) ).
fof(f436,plain,
! [X0] :
( ! [X1] :
( finite(X1)
| ~ element(X1,powerset(X0)) )
| ~ finite(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f636,plain,
? [X0,X1] :
( ~ finite(X0)
& subset(X0,X1)
& finite(X1) ),
inference(ennf_transformation,[],[f250]) ).
fof(f637,plain,
? [X0,X1] :
( ~ finite(X0)
& subset(X0,X1)
& finite(X1) ),
inference(flattening,[],[f636]) ).
fof(f1179,plain,
( ~ finite(sK254)
& subset(sK254,sK255)
& finite(sK255) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK254,sK255]),skolemize(X0,sK254),skolemize(X1,sK255)],[f637]) ).
fof(f1213,plain,
! [X0,X1] :
( ( element(X0,powerset(X1))
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ~ element(X0,powerset(X1)) ) ),
inference(nnf_transformation,[],[f324]) ).
fof(f1262,plain,
! [X0,X1] :
( finite(X1)
| ~ element(X1,powerset(X0))
| ~ finite(X0) ),
inference(cnf_transformation,[],[f436]) ).
fof(f1998,plain,
finite(sK255),
inference(cnf_transformation,[],[f1179]) ).
fof(f1999,plain,
subset(sK254,sK255),
inference(cnf_transformation,[],[f1179]) ).
fof(f2000,plain,
~ finite(sK254),
inference(cnf_transformation,[],[f1179]) ).
fof(f2119,plain,
! [X0,X1] :
( element(X0,powerset(X1))
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f1213]) ).
fof(f2481,plain,
! [X0] :
( ~ element(sK254,powerset(X0))
| ~ finite(X0) ),
inference(resolution,[],[f1262,f2000]) ).
fof(f2901,plain,
! [X0] :
( ~ subset(sK254,X0)
| ~ finite(X0) ),
inference(resolution,[],[f2119,f2481]) ).
fof(f2904,plain,
~ finite(sK255),
inference(resolution,[],[f2901,f1999]) ).
fof(f2908,plain,
$false,
inference(forward_subsumption_resolution,[],[f2904,f1998]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU294+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n005.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 28 04:32:16 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 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
% 3.43/1.16 % (433173)Detected formulas, will run a generic FOF schedule.
% 3.43/1.16 % (433180)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=2315080906:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.43/1.16 % (433178)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=2513724784:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.43/1.16 % (433183)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3561040771:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.43/1.16 % (433182)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3070641430:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.43/1.16 % (433184)dis-21_1_sil=8000:lcm=predicate:random_seed=3440026706: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)
% 3.43/1.16 % (433181)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2007228252:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.43/1.16 % (433179)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=1799148306:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.43/1.16 % (433183)First to succeed.
% 3.43/1.16 % (433183)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-433173"
% 3.43/1.16 % (433181)Instruction limit reached!
% 3.43/1.16 % (433181)------------------------------
% 3.43/1.16 % (433181)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.43/1.16 % (433181)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.43/1.16 % (433181)CaDiCaL version: 2.1.3
% 3.43/1.16 % (433181)Termination reason: Instruction limit
% 3.43/1.16 % (433181)Termination phase: Saturation
% 3.43/1.16 % (433181)Time elapsed: 0.062 s
% 3.43/1.16 % (433181)Peak memory usage: 91 MB
% 3.43/1.16 % (433181)Instructions burned: 110 (million)
% 3.43/1.16 % (433184)Instruction limit reached!
% 3.43/1.16 % (433184)------------------------------
% 3.43/1.16 % (433184)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.43/1.16 % (433184)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.43/1.16 % (433184)CaDiCaL version: 2.1.3
% 3.43/1.16 % (433184)Termination reason: Instruction limit
% 3.43/1.16 % (433184)Termination phase: Saturation
% 3.43/1.16 % (433184)Time elapsed: 0.062 s
% 3.43/1.16 % (433184)Peak memory usage: 90 MB
% 3.43/1.16 % (433184)Instructions burned: 130 (million)
% 3.43/1.16 % (433182)Instruction limit reached!
% 3.43/1.16 % (433182)------------------------------
% 3.43/1.16 % (433182)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.43/1.16 % (433182)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.43/1.16 % (433182)CaDiCaL version: 2.1.3
% 3.43/1.16 % (433182)Termination reason: Instruction limit
% 3.43/1.16 % (433182)Termination phase: Saturation
% 3.43/1.16 % (433182)Time elapsed: 0.077 s
% 3.43/1.16 % (433182)Peak memory usage: 90 MB
% 3.43/1.16 % (433182)Instructions burned: 119 (million)
% 3.43/1.16 % (433192)lrs+10_1_sil=8000:sp=occurrence:random_seed=3186832795:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.43/1.16 % (433193)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2359580042:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.43/1.16 % (433194)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2305230251:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 3.43/1.16 % (433183)Refutation found. Thanks to Tanya!
% 3.43/1.16 % SZS status Theorem for theBenchmark
% 3.43/1.16 % SZS output start Proof for theBenchmark
% See solution above
% 3.43/1.16 % (433183)------------------------------
% 3.43/1.16 % (433183)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.43/1.16 % (433183)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.43/1.16 % (433183)CaDiCaL version: 2.1.3
% 3.43/1.16 % (433183)Termination reason: Refutation
% 3.43/1.16 % (433183)Time elapsed: 0.047 s
% 3.43/1.16 % (433183)Peak memory usage: 90 MB
% 3.43/1.16 % (433183)Instructions burned: 74 (million)
% 3.43/1.16 % (433183)------------------------------
% 3.43/1.16 % (433183)------------------------------
% 3.43/1.16 % (433173)Success in time 0.448 s
% 3.43/1.16 % Vampire exiting
%------------------------------------------------------------------------------