%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU317+1 : 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 : n004.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 12:52:51 PM UTC 2026
% Result : Theorem 4.01s 1.06s
% Output : Refutation 4.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 4
% Syntax : Number of formulae : 31 ( 6 unt; 0 def)
% Number of atoms : 105 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 125 ( 51 ~; 55 |; 3 &)
% ( 6 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 3 ( 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 : 58 ( 56 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f17,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
fof(f36,axiom,
! [X0,X1] :
( element(X0,powerset(X1))
<=> subset(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_subset) ).
fof(f37,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/sandbox2/benchmark/theBenchmark.p',t45_pre_topc) ).
fof(f38,conjecture,
! [X0] :
( top_str(X0)
=> ! [X1] :
( element(X1,powerset(the_carrier(X0)))
=> subset(X1,topstr_closure(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t48_pre_topc) ).
fof(f39,negated_conjecture,
~ ! [X0] :
( top_str(X0)
=> ! [X1] :
( element(X1,powerset(the_carrier(X0)))
=> subset(X1,topstr_closure(X0,X1)) ) ),
inference(negated_conjecture,[status(cth)],[f38]) ).
fof(f74,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) ) ),
inference(ennf_transformation,[],[f17]) ).
fof(f81,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,[],[f37]) ).
fof(f82,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,[],[f81]) ).
fof(f83,plain,
? [X0] :
( ? [X1] :
( ~ subset(X1,topstr_closure(X0,X1))
& element(X1,powerset(the_carrier(X0))) )
& top_str(X0) ),
inference(ennf_transformation,[],[f39]) ).
fof(f115,plain,
! [X2,X0,X1] :
( ~ subset(X0,X1)
| in(X2,X1)
| ~ in(X2,X0) ),
inference(cnf_transformation,[],[f74]) ).
fof(f116,plain,
! [X0,X1] :
( in(sK0(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f74]) ).
fof(f117,plain,
! [X0,X1] :
( ~ in(sK0(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f74]) ).
fof(f142,plain,
! [X0,X1] :
( ~ element(X0,powerset(X1))
| subset(X0,X1) ),
inference(cnf_transformation,[],[f36]) ).
fof(f145,plain,
! [X2,X0,X1] :
( subset(X1,sK6(X0,X1,X2))
| ~ element(X1,powerset(the_carrier(X0)))
| ~ in(X2,the_carrier(X0))
| ~ top_str(X0)
| in(X2,topstr_closure(X0,X1)) ),
inference(cnf_transformation,[],[f82]) ).
fof(f147,plain,
! [X2,X0,X1] :
( ~ in(X2,sK6(X0,X1,X2))
| ~ element(X1,powerset(the_carrier(X0)))
| ~ in(X2,the_carrier(X0))
| ~ top_str(X0)
| in(X2,topstr_closure(X0,X1)) ),
inference(cnf_transformation,[],[f82]) ).
fof(f148,plain,
element(sK8,powerset(the_carrier(sK7))),
inference(cnf_transformation,[],[f83]) ).
fof(f149,plain,
~ subset(sK8,topstr_closure(sK7,sK8)),
inference(cnf_transformation,[],[f83]) ).
fof(f150,plain,
top_str(sK7),
inference(cnf_transformation,[],[f83]) ).
fof(f156,plain,
subset(sK8,the_carrier(sK7)),
inference(resolution,[],[f142,f148]) ).
fof(f168,plain,
! [X0] :
( in(X0,the_carrier(sK7))
| ~ in(X0,sK8) ),
inference(resolution,[],[f115,f156]) ).
fof(f577,plain,
! [X2,X3,X0,X1] :
( ~ top_str(X1)
| ~ in(X2,the_carrier(X1))
| ~ element(X0,powerset(the_carrier(X1)))
| in(X2,topstr_closure(X1,X0))
| in(X3,sK6(X1,X0,X2))
| ~ in(X3,X0) ),
inference(resolution,[],[f145,f115]) ).
fof(f4922,plain,
! [X2,X0,X1] :
( in(X2,sK6(sK7,X1,X0))
| ~ element(X1,powerset(the_carrier(sK7)))
| in(X0,topstr_closure(sK7,X1))
| ~ in(X0,the_carrier(sK7))
| ~ in(X2,X1) ),
inference(resolution,[],[f577,f150]) ).
fof(f6326,plain,
! [X0,X1] :
( ~ element(X0,powerset(the_carrier(sK7)))
| in(X1,topstr_closure(sK7,X0))
| ~ in(X1,the_carrier(sK7))
| ~ in(X1,X0)
| ~ element(X0,powerset(the_carrier(sK7)))
| ~ in(X1,the_carrier(sK7))
| ~ top_str(sK7)
| in(X1,topstr_closure(sK7,X0)) ),
inference(resolution,[],[f4922,f147]) ).
fof(f6332,plain,
! [X0,X1] :
( ~ element(X0,powerset(the_carrier(sK7)))
| in(X1,topstr_closure(sK7,X0))
| ~ in(X1,the_carrier(sK7))
| ~ in(X1,X0)
| ~ top_str(sK7) ),
inference(duplicate_literal_removal,[],[f6326]) ).
fof(f6333,plain,
! [X0,X1] :
( ~ element(X0,powerset(the_carrier(sK7)))
| in(X1,topstr_closure(sK7,X0))
| ~ in(X1,the_carrier(sK7))
| ~ in(X1,X0) ),
inference(forward_subsumption_resolution,[],[f6332,f150]) ).
fof(f7413,plain,
! [X0] :
( in(X0,topstr_closure(sK7,sK8))
| ~ in(X0,the_carrier(sK7))
| ~ in(X0,sK8) ),
inference(resolution,[],[f6333,f148]) ).
fof(f7414,plain,
! [X0] :
( ~ in(X0,sK8)
| in(X0,topstr_closure(sK7,sK8)) ),
inference(forward_subsumption_resolution,[],[f7413,f168]) ).
fof(f7697,plain,
! [X0] :
( in(sK0(sK8,X0),topstr_closure(sK7,sK8))
| subset(sK8,X0) ),
inference(resolution,[],[f7414,f116]) ).
fof(f8364,plain,
( subset(sK8,topstr_closure(sK7,sK8))
| subset(sK8,topstr_closure(sK7,sK8)) ),
inference(resolution,[],[f7697,f117]) ).
fof(f8370,plain,
subset(sK8,topstr_closure(sK7,sK8)),
inference(duplicate_literal_removal,[],[f8364]) ).
fof(f8373,plain,
$false,
inference(forward_subsumption_resolution,[],[f8370,f149]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU317+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.14/0.42 % Computer : n004.cluster.edu
% 0.14/0.42 % Model : x86_64 x86_64
% 0.14/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.42 % Memory : 8046.5625MB
% 0.14/0.42 % OS : Linux 6.8.0-71-generic
% 0.14/0.42 % CPULimit : 300
% 0.14/0.42 % WCLimit : 300
% 0.14/0.42 % DateTime : Mon Sep 28 04:39:52 UTC 2026
% 0.14/0.42 % CPUTime :
% 0.14/0.42 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.14/0.47 Running first-order model finding
% 0.14/0.48 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
% 4.01/1.06 % (4154946)Will run a generic schedule for satisfiability detection.
% 4.01/1.06 % (4154954)dis+10_1_sil=32000:sp=arity:random_seed=31797529:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 4.01/1.06 % (4154951)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2982502998_2999 on theBenchmark for (2999ds/0Mi)
% 4.01/1.06 % TRYING [1]
% 4.01/1.06 % TRYING [2]
% 4.01/1.06 % TRYING [3]
% 4.01/1.06 % (4154952)% WARNING: option uhcvi not known.
% 4.01/1.06 % TRYING [4]
% 4.01/1.06 % (4154955)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2371385416:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 4.01/1.06 % (4154957)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3674490195:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 4.01/1.06 % (4154952)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1592341538:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 4.01/1.06 % (4154956)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=442645188:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 4.01/1.06 % (4154953)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1116090174:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 4.01/1.06 % TRYING [5]
% 4.01/1.06 % TRYING [6]
% 4.01/1.06 % (4154954)Instruction limit reached!
% 4.01/1.06 % (4154954)------------------------------
% 4.01/1.06 % (4154954)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.01/1.06 % (4154954)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.01/1.06 % (4154954)CaDiCaL version: 2.1.3
% 4.01/1.06 % (4154954)Termination reason: Instruction limit
% 4.01/1.06 % (4154954)Termination phase: Saturation
% 4.01/1.06 % (4154954)Time elapsed: 0.056 s
% 4.01/1.06 % (4154954)Peak memory usage: 12 MB
% 4.01/1.06 % (4154954)Instructions burned: 105 (million)
% 4.01/1.06 % (4154965)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3048880798:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 4.01/1.06 % TRYING [7]
% 4.01/1.06 % TRYING [1]
% 4.01/1.06 % TRYING [2]
% 4.01/1.06 % TRYING [3]
% 4.01/1.06 % TRYING [4]
% 4.01/1.06 % TRYING [5]
% 4.01/1.06 % TRYING [6]
% 4.01/1.06 % (4154955)Instruction limit reached!
% 4.01/1.06 % (4154955)------------------------------
% 4.01/1.06 % (4154955)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.01/1.06 % (4154955)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.01/1.06 % (4154955)CaDiCaL version: 2.1.3
% 4.01/1.06 % (4154955)Termination reason: Instruction limit
% 4.01/1.06 % (4154955)Termination phase: Saturation
% 4.01/1.06 % (4154955)Time elapsed: 0.121 s
% 4.01/1.06 % (4154955)Peak memory usage: 12 MB
% 4.01/1.06 % (4154955)Instructions burned: 116 (million)
% 4.01/1.06 % (4154956)Instruction limit reached!
% 4.01/1.06 % (4154956)------------------------------
% 4.01/1.06 % (4154956)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.01/1.06 % (4154956)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.01/1.06 % (4154956)CaDiCaL version: 2.1.3
% 4.01/1.06 % (4154956)Termination reason: Instruction limit
% 4.01/1.06 % (4154956)Termination phase: Saturation
% 4.01/1.06 % (4154956)Time elapsed: 0.139 s
% 4.01/1.06 % (4154956)Peak memory usage: 13 MB
% 4.01/1.06 % (4154956)Instructions burned: 131 (million)
% 4.01/1.06 % TRYING [7]
% 4.01/1.06 % (4154967)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=183948819:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 4.01/1.06 % (4154968)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=3744349789:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 4.01/1.06 % (4154957)Instruction limit reached!
% 4.01/1.06 % (4154957)------------------------------
% 4.01/1.06 % (4154957)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.01/1.06 % (4154957)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.01/1.06 % (4154957)CaDiCaL version: 2.1.3
% 4.01/1.06 % (4154957)Termination reason: Instruction limit
% 4.01/1.06 % (4154957)Termination phase: Saturation
% 4.01/1.06 % (4154957)Time elapsed: 0.183 s
% 4.01/1.06 % (4154957)Peak memory usage: 13 MB
% 4.01/1.06 % (4154957)Instructions burned: 159 (million)
% 4.01/1.06 % (4154971)ott-21_1_sil=16000:fs=off:random_seed=2576649253:i=180:av=off:fsr=off_2997 on theBenchmark for (2997ds/180Mi)
% 4.01/1.06 % (4154967)Instruction limit reached!
% 4.01/1.06 % (4154967)------------------------------
% 4.01/1.06 % (4154967)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.01/1.06 % (4154967)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.01/1.06 % (4154967)CaDiCaL version: 2.1.3
% 4.01/1.06 % (4154967)Termination reason: Instruction limit
% 4.01/1.06 % (4154967)Termination phase: Saturation
% 4.01/1.06 % (4154967)Time elapsed: 0.139 s
% 4.01/1.06 % (4154967)Peak memory usage: 12 MB
% 4.01/1.06 % (4154967)Instructions burned: 132 (million)
% 4.01/1.06 % TRYING [8]
% 4.01/1.06 % (4154973)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3480900585:i=477:bd=all_2996 on theBenchmark for (2996ds/477Mi)
% 4.01/1.06 % (4154965)Instruction limit reached!
% 4.01/1.06 % (4154965)------------------------------
% 4.01/1.06 % (4154965)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.01/1.06 % (4154965)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.01/1.06 % (4154965)CaDiCaL version: 2.1.3
% 4.01/1.06 % (4154965)Termination reason: Instruction limit
% 4.01/1.06 % (4154965)Termination phase: Finite model building SAT solving
% 4.01/1.06 % (4154965)Time elapsed: 0.328 s
% 4.01/1.06 % (4154965)Peak memory usage: 24 MB
% 4.01/1.06 % (4154965)Instructions burned: 715 (million)
% 4.01/1.06 % (4154971)Instruction limit reached!
% 4.01/1.06 % (4154971)------------------------------
% 4.01/1.06 % (4154971)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.01/1.06 % (4154971)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.01/1.06 % (4154971)CaDiCaL version: 2.1.3
% 4.01/1.06 % (4154971)Termination reason: Instruction limit
% 4.01/1.06 % (4154971)Termination phase: Saturation
% 4.01/1.06 % (4154971)Time elapsed: 0.169 s
% 4.01/1.06 % (4154971)Peak memory usage: 13 MB
% 4.01/1.06 % (4154971)Instructions burned: 181 (million)
% 4.01/1.06 % (4154975)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=4286807441:fmbsr=1.3:i=865:ins=25_2995 on theBenchmark for (2995ds/865Mi)
% 4.01/1.06 % (4154976)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2694940133:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 4.01/1.06 % TRYING [1]
% 4.01/1.06 % TRYING [2]
% 4.01/1.06 % TRYING [3]
% 4.01/1.06 % TRYING [4]
% 4.01/1.06 % TRYING [5]
% 4.01/1.06 % TRYING [6]
% 4.01/1.06 % (4154968) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4154946-4154968"...
% 4.01/1.06 % (4154968)...printing done.
% 4.01/1.06 % (4154968)Refutation found. Thanks to Tanya!
% 4.01/1.06 % SZS status Theorem for theBenchmark
% 4.01/1.06 % SZS output start Proof for theBenchmark
% See solution above
% 4.01/1.06 % (4154968)------------------------------
% 4.01/1.06 % (4154968)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.01/1.06 % (4154968)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.01/1.06 % (4154968)CaDiCaL version: 2.1.3
% 4.01/1.06 % (4154968)Termination reason: Refutation
% 4.01/1.06 % (4154968)Time elapsed: 0.360 s
% 4.01/1.06 % (4154968)Peak memory usage: 15 MB
% 4.01/1.06 % (4154968)Instructions burned: 371 (million)
% 4.01/1.06 % (4154946)Success in time 0.565 s
% 4.01/1.06 % Vampire exiting
%------------------------------------------------------------------------------