%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU317+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 : n002.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 12:48:19 PM UTC 2026
% Result : Theorem 5.33s 1.75s
% Output : Refutation 5.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 4
% Syntax : Number of formulae : 34 ( 11 unt; 0 def)
% Number of atoms : 135 ( 0 equ)
% Maximal formula atoms : 13 ( 3 avg)
% Number of connectives : 166 ( 65 ~; 61 |; 24 &)
% ( 6 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-3 aty)
% Number of variables : 68 ( 62 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f82,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
fof(f443,axiom,
! [X0,X1] :
( element(X0,powerset(X1))
<=> subset(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_subset) ).
fof(f453,axiom,
! [X0] :
( top_str(X0)
=> ! [X1] :
( element(X1,powerset(the_carrier(X0)))
=> ! [X2] :
( in(X2,the_carrier(X0))
=> ( in(X2,topstr_closure(X0,X1))
<=> ! [X3] :
( element(X3,powerset(the_carrier(X0)))
=> ( ( closed_subset(X3,X0)
& subset(X1,X3) )
=> in(X2,X3) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t45_pre_topc) ).
fof(f463,conjecture,
! [X0] :
( top_str(X0)
=> ! [X1] :
( element(X1,powerset(the_carrier(X0)))
=> subset(X1,topstr_closure(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t48_pre_topc) ).
fof(f464,negated_conjecture,
~ ! [X0] :
( top_str(X0)
=> ! [X1] :
( element(X1,powerset(the_carrier(X0)))
=> subset(X1,topstr_closure(X0,X1)) ) ),
inference(negated_conjecture,[status(cth)],[f463]) ).
fof(f523,plain,
? [X0] :
( ? [X1] :
( ~ subset(X1,topstr_closure(X0,X1))
& element(X1,powerset(the_carrier(X0))) )
& top_str(X0) ),
inference(ennf_transformation,[],[f464]) ).
fof(f529,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( in(X2,topstr_closure(X0,X1))
<=> ! [X3] :
( in(X2,X3)
| ~ closed_subset(X3,X0)
| ~ subset(X1,X3)
| ~ element(X3,powerset(the_carrier(X0))) ) )
| ~ in(X2,the_carrier(X0)) )
| ~ element(X1,powerset(the_carrier(X0))) )
| ~ top_str(X0) ),
inference(ennf_transformation,[],[f453]) ).
fof(f530,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( in(X2,topstr_closure(X0,X1))
<=> ! [X3] :
( in(X2,X3)
| ~ closed_subset(X3,X0)
| ~ subset(X1,X3)
| ~ element(X3,powerset(the_carrier(X0))) ) )
| ~ in(X2,the_carrier(X0)) )
| ~ element(X1,powerset(the_carrier(X0))) )
| ~ top_str(X0) ),
inference(flattening,[],[f529]) ).
fof(f537,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) ) ),
inference(ennf_transformation,[],[f82]) ).
fof(f541,plain,
( ~ subset(sK3,topstr_closure(sK2,sK3))
& element(sK3,powerset(the_carrier(sK2)))
& top_str(sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3]),skolemize(X0,sK2),skolemize(X1,sK3)],[f523]) ).
fof(f542,plain,
! [X0,X1] :
( ( element(X0,powerset(X1))
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ~ element(X0,powerset(X1)) ) ),
inference(nnf_transformation,[],[f443]) ).
fof(f548,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( in(X2,topstr_closure(X0,X1))
| ? [X3] :
( ~ in(X2,X3)
& closed_subset(X3,X0)
& subset(X1,X3)
& element(X3,powerset(the_carrier(X0))) ) )
& ( ! [X3] :
( in(X2,X3)
| ~ closed_subset(X3,X0)
| ~ subset(X1,X3)
| ~ element(X3,powerset(the_carrier(X0))) )
| ~ in(X2,topstr_closure(X0,X1)) ) )
| ~ in(X2,the_carrier(X0)) )
| ~ element(X1,powerset(the_carrier(X0))) )
| ~ top_str(X0) ),
inference(nnf_transformation,[],[f530]) ).
fof(f549,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( in(X2,topstr_closure(X0,X1))
| ? [X3] :
( ~ in(X2,X3)
& closed_subset(X3,X0)
& subset(X1,X3)
& element(X3,powerset(the_carrier(X0))) ) )
& ( ! [X4] :
( in(X2,X4)
| ~ closed_subset(X4,X0)
| ~ subset(X1,X4)
| ~ element(X4,powerset(the_carrier(X0))) )
| ~ in(X2,topstr_closure(X0,X1)) ) )
| ~ in(X2,the_carrier(X0)) )
| ~ element(X1,powerset(the_carrier(X0))) )
| ~ top_str(X0) ),
inference(rectify,[],[f548]) ).
fof(f550,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( in(X2,topstr_closure(X0,X1))
| ( ~ in(X2,sK7(X0,X1,X2))
& closed_subset(sK7(X0,X1,X2),X0)
& subset(X1,sK7(X0,X1,X2))
& element(sK7(X0,X1,X2),powerset(the_carrier(X0))) ) )
& ( ! [X4] :
( in(X2,X4)
| ~ closed_subset(X4,X0)
| ~ subset(X1,X4)
| ~ element(X4,powerset(the_carrier(X0))) )
| ~ in(X2,topstr_closure(X0,X1)) ) )
| ~ in(X2,the_carrier(X0)) )
| ~ element(X1,powerset(the_carrier(X0))) )
| ~ top_str(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(X3,sK7(X0,X1,X2))],[f549]) ).
fof(f557,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) ) )
& ( ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) )
| ~ subset(X0,X1) ) ),
inference(nnf_transformation,[],[f537]) ).
fof(f558,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(rectify,[],[f557]) ).
fof(f559,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ in(sK11(X0,X1),X1)
& in(sK11(X0,X1),X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11]),skolemize(X2,sK11(X0,X1))],[f558]) ).
fof(f563,plain,
top_str(sK2),
inference(cnf_transformation,[],[f541]) ).
fof(f564,plain,
element(sK3,powerset(the_carrier(sK2))),
inference(cnf_transformation,[],[f541]) ).
fof(f565,plain,
~ subset(sK3,topstr_closure(sK2,sK3)),
inference(cnf_transformation,[],[f541]) ).
fof(f567,plain,
! [X0,X1] :
( ~ element(X0,powerset(X1))
| subset(X0,X1) ),
inference(cnf_transformation,[],[f542]) ).
fof(f580,plain,
! [X2,X0,X1] :
( subset(X1,sK7(X0,X1,X2))
| in(X2,topstr_closure(X0,X1))
| ~ in(X2,the_carrier(X0))
| ~ element(X1,powerset(the_carrier(X0)))
| ~ top_str(X0) ),
inference(cnf_transformation,[],[f550]) ).
fof(f582,plain,
! [X2,X0,X1] :
( ~ in(X2,sK7(X0,X1,X2))
| in(X2,topstr_closure(X0,X1))
| ~ in(X2,the_carrier(X0))
| ~ element(X1,powerset(the_carrier(X0)))
| ~ top_str(X0) ),
inference(cnf_transformation,[],[f550]) ).
fof(f600,plain,
! [X3,X0,X1] :
( ~ subset(X0,X1)
| ~ in(X3,X0)
| in(X3,X1) ),
inference(cnf_transformation,[],[f559]) ).
fof(f601,plain,
! [X0,X1] :
( in(sK11(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f559]) ).
fof(f602,plain,
! [X0,X1] :
( ~ in(sK11(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f559]) ).
fof(f613,plain,
subset(sK3,the_carrier(sK2)),
inference(unit_resulting_resolution,[],[f567,f564]) ).
fof(f625,plain,
in(sK11(sK3,topstr_closure(sK2,sK3)),sK3),
inference(unit_resulting_resolution,[],[f601,f565]) ).
fof(f627,plain,
~ in(sK11(sK3,topstr_closure(sK2,sK3)),topstr_closure(sK2,sK3)),
inference(unit_resulting_resolution,[],[f602,f565]) ).
fof(f648,plain,
in(sK11(sK3,topstr_closure(sK2,sK3)),the_carrier(sK2)),
inference(unit_resulting_resolution,[],[f600,f625,f613]) ).
fof(f715,plain,
subset(sK3,sK7(sK2,sK3,sK11(sK3,topstr_closure(sK2,sK3)))),
inference(unit_resulting_resolution,[],[f580,f563,f648,f627,f564]) ).
fof(f739,plain,
~ in(sK11(sK3,topstr_closure(sK2,sK3)),sK7(sK2,sK3,sK11(sK3,topstr_closure(sK2,sK3)))),
inference(unit_resulting_resolution,[],[f582,f563,f648,f627,f564]) ).
fof(f1144,plain,
in(sK11(sK3,topstr_closure(sK2,sK3)),sK7(sK2,sK3,sK11(sK3,topstr_closure(sK2,sK3)))),
inference(unit_resulting_resolution,[],[f600,f625,f715]) ).
fof(f1147,plain,
$false,
inference(forward_subsumption_resolution,[],[f1144,f739]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU317+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n002.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.39 % CPULimit : 300
% 0.10/0.39 % WCLimit : 300
% 0.10/0.39 % DateTime : Mon Sep 28 04:42:37 UTC 2026
% 0.10/0.39 % CPUTime :
% 0.10/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 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
% 3.98/1.55 % (4150043)Detected formulas, will run a generic FOF schedule.
% 3.98/1.55 % (4150049)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=90588777:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.98/1.55 % (4150050)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=570531113:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.98/1.55 % (4150051)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1770968938:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.98/1.55 % (4150052)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2421792185:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.98/1.55 % (4150053)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2510601763:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.98/1.55 % (4150054)dis-21_1_sil=8000:lcm=predicate:random_seed=2798097481: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)
% 3.98/1.55 % (4150048)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=2048399408:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.98/1.55 % (4150051)Instruction limit reached!
% 3.98/1.55 % (4150051)------------------------------
% 3.98/1.55 % (4150051)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.98/1.55 % (4150051)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.98/1.55 % (4150051)CaDiCaL version: 2.1.3
% 3.98/1.55 % (4150051)Termination reason: Instruction limit
% 3.98/1.55 % (4150051)Termination phase: Saturation
% 3.98/1.55 % (4150051)Time elapsed: 0.061 s
% 3.98/1.55 % (4150051)Peak memory usage: 91 MB
% 3.98/1.55 % (4150051)Instructions burned: 110 (million)
% 3.98/1.55 % (4150054)Instruction limit reached!
% 3.98/1.55 % (4150054)------------------------------
% 3.98/1.55 % (4150054)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.98/1.55 % (4150054)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.98/1.55 % (4150054)CaDiCaL version: 2.1.3
% 3.98/1.55 % (4150054)Termination reason: Instruction limit
% 3.98/1.55 % (4150054)Termination phase: Saturation
% 3.98/1.55 % (4150054)Time elapsed: 0.065 s
% 3.98/1.55 % (4150054)Peak memory usage: 90 MB
% 3.98/1.55 % (4150054)Instructions burned: 130 (million)
% 3.98/1.55 % (4150052)Instruction limit reached!
% 3.98/1.55 % (4150052)------------------------------
% 3.98/1.55 % (4150052)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.98/1.55 % (4150052)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.98/1.55 % (4150052)CaDiCaL version: 2.1.3
% 3.98/1.55 % (4150052)Termination reason: Instruction limit
% 3.98/1.55 % (4150052)Termination phase: Saturation
% 3.98/1.55 % (4150052)Time elapsed: 0.078 s
% 3.98/1.55 % (4150052)Peak memory usage: 90 MB
% 3.98/1.55 % (4150052)Instructions burned: 120 (million)
% 3.98/1.55 % (4150053)Instruction limit reached!
% 3.98/1.55 % (4150053)------------------------------
% 3.98/1.55 % (4150053)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.98/1.55 % (4150053)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.98/1.55 % (4150053)CaDiCaL version: 2.1.3
% 3.98/1.55 % (4150053)Termination reason: Instruction limit
% 3.98/1.55 % (4150053)Termination phase: Saturation
% 3.98/1.55 % (4150053)Time elapsed: 0.093 s
% 3.98/1.55 % (4150053)Peak memory usage: 91 MB
% 3.98/1.55 % (4150053)Instructions burned: 140 (million)
% 3.98/1.55 % (4150062)lrs+10_1_sil=8000:sp=occurrence:random_seed=3873585126:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.98/1.55 % (4150063)lrs+10_1_sil=32000:urr=on:br=off:random_seed=176117249:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.98/1.55 % (4150064)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2878133555:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 3.98/1.55 % (4150063)First to succeed.
% 3.98/1.55 % (4150063)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4150043"
% 3.98/1.55 % (4150065)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=3818339612:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 5.33/1.75 % (4150062)Instruction limit reached!
% 5.33/1.75 % (4150062)------------------------------
% 5.33/1.75 % (4150062)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.33/1.75 % (4150062)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.33/1.75 % (4150062)CaDiCaL version: 2.1.3
% 5.33/1.75 % (4150062)Termination reason: Instruction limit
% 5.33/1.75 % (4150062)Termination phase: Saturation
% 5.33/1.75 % (4150062)Time elapsed: 0.186 s
% 5.33/1.75 % (4150062)Peak memory usage: 94 MB
% 5.33/1.75 % (4150062)Instructions burned: 285 (million)
% 5.33/1.75 % (4150065)Instruction limit reached!
% 5.33/1.75 % (4150065)------------------------------
% 5.33/1.75 % (4150065)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.33/1.75 % (4150065)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.33/1.75 % (4150065)CaDiCaL version: 2.1.3
% 5.33/1.75 % (4150065)Termination reason: Instruction limit
% 5.33/1.75 % (4150065)Termination phase: Saturation
% 5.33/1.75 % (4150065)Time elapsed: 0.151 s
% 5.33/1.75 % (4150065)Peak memory usage: 93 MB
% 5.33/1.75 % (4150065)Instructions burned: 249 (million)
% 5.33/1.75 % (4150064)Instruction limit reached!
% 5.33/1.75 % (4150064)------------------------------
% 5.33/1.75 % (4150064)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.33/1.75 % (4150064)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.33/1.75 % (4150064)CaDiCaL version: 2.1.3
% 5.33/1.75 % (4150064)Termination reason: Instruction limit
% 5.33/1.75 % (4150064)Termination phase: Saturation
% 5.33/1.75 % (4150064)Time elapsed: 0.225 s
% 5.33/1.75 % (4150064)Peak memory usage: 94 MB
% 5.33/1.75 % (4150064)Instructions burned: 325 (million)
% 5.33/1.75 % (4150063)Refutation found. Thanks to Tanya!
% 5.33/1.75 % SZS status Theorem for theBenchmark
% 5.33/1.75 % SZS output start Proof for theBenchmark
% See solution above
% 5.33/1.75 % (4150063)------------------------------
% 5.33/1.75 % (4150063)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.33/1.75 % (4150063)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.33/1.75 % (4150063)CaDiCaL version: 2.1.3
% 5.33/1.75 % (4150063)Termination reason: Refutation
% 5.33/1.75 % (4150063)Time elapsed: 0.024 s
% 5.33/1.75 % (4150063)Peak memory usage: 89 MB
% 5.33/1.75 % (4150063)Instructions burned: 36 (million)
% 5.33/1.75 % (4150063)------------------------------
% 5.33/1.75 % (4150063)------------------------------
% 5.33/1.75 % (4150043)Success in time 0.683 s
% 5.33/1.75 % Vampire exiting
%------------------------------------------------------------------------------