%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : TOP001-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/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 02:33:48 PM UTC 2026
% Result : Unsatisfiable 2.64s 1.06s
% Output : Refutation 2.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 12
% Syntax : Number of formulae : 26 ( 4 unt; 0 def)
% Number of atoms : 63 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 72 ( 35 ~; 37 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 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 : 55 ( 55 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( element_of_set(X0,f1(X1,X0))
| ~ element_of_set(X0,union_of_members(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union_of_members_1) ).
fof(f2,axiom,
! [X0,X1] :
( element_of_collection(f1(X1,X0),X1)
| ~ element_of_set(X0,union_of_members(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union_of_members_2) ).
fof(f3,axiom,
! [X2,X0,X1] :
( ~ element_of_collection(X2,X1)
| ~ element_of_set(X0,X2)
| element_of_set(X0,union_of_members(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union_of_members_3) ).
fof(f4,axiom,
! [X0,X1] :
( equal_sets(union_of_members(X1),X0)
| ~ basis(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',basis_for_topology_28) ).
fof(f5,axiom,
! [X2,X0,X1] :
( element_of_set(X2,f10(X1,X0,X2))
| ~ element_of_set(X2,X0)
| ~ element_of_collection(X0,top_of_basis(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',topology_generated_37) ).
fof(f6,axiom,
! [X2,X0,X1] :
( element_of_collection(f10(X1,X0,X2),X1)
| ~ element_of_set(X2,X0)
| ~ element_of_collection(X0,top_of_basis(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',topology_generated_38) ).
fof(f8,axiom,
! [X2,X0,X1] :
( ~ subset_sets(X0,X1)
| ~ element_of_set(X2,X0)
| element_of_set(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',set_theory_2) ).
fof(f9,axiom,
! [X0,X1] :
( ~ equal_sets(X0,X1)
| subset_sets(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',set_theory_3) ).
fof(f10,axiom,
! [X0,X1] :
( element_of_set(in_1st_set(X0,X1),X0)
| subset_sets(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',set_theory_4) ).
fof(f11,axiom,
! [X0,X1] :
( ~ element_of_set(in_1st_set(X0,X1),X1)
| subset_sets(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',set_theory_5) ).
fof(f12,negated_conjecture,
basis(cx,f),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_1a_1) ).
fof(f13,negated_conjecture,
~ subset_sets(union_of_members(top_of_basis(f)),cx),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_1a_2) ).
fof(f14,plain,
! [X0,X1] :
( subset_sets(union_of_members(X1),X0)
| ~ basis(X0,X1) ),
inference(resolution,[],[f4,f9]) ).
fof(f19,plain,
! [X2,X0,X1] :
( ~ element_of_set(X0,union_of_members(X1))
| element_of_set(X0,X2)
| ~ basis(X2,X1) ),
inference(resolution,[],[f8,f14]) ).
fof(f22,plain,
! [X2,X3,X0,X1] :
( ~ element_of_set(X3,f10(X2,X1,X0))
| ~ element_of_collection(X1,top_of_basis(X2))
| ~ element_of_set(X0,X1)
| element_of_set(X3,union_of_members(X2)) ),
inference(resolution,[],[f6,f3]) ).
fof(f27,plain,
! [X2,X0,X1] :
( ~ element_of_collection(X0,top_of_basis(X1))
| ~ element_of_set(X2,X0)
| element_of_set(X2,union_of_members(X1))
| ~ element_of_set(X2,X0)
| ~ element_of_collection(X0,top_of_basis(X1)) ),
inference(resolution,[],[f22,f5]) ).
fof(f28,plain,
! [X2,X0,X1] :
( ~ element_of_collection(X0,top_of_basis(X1))
| ~ element_of_set(X2,X0)
| element_of_set(X2,union_of_members(X1)) ),
inference(duplicate_literal_removal,[],[f27]) ).
fof(f29,plain,
! [X2,X0,X1] :
( ~ element_of_set(X0,f1(top_of_basis(X1),X2))
| element_of_set(X0,union_of_members(X1))
| ~ element_of_set(X2,union_of_members(top_of_basis(X1))) ),
inference(resolution,[],[f28,f2]) ).
fof(f46,plain,
! [X0,X1] :
( element_of_set(X0,union_of_members(X1))
| ~ element_of_set(X0,union_of_members(top_of_basis(X1)))
| ~ element_of_set(X0,union_of_members(top_of_basis(X1))) ),
inference(resolution,[],[f29,f1]) ).
fof(f47,plain,
! [X0,X1] :
( ~ element_of_set(X0,union_of_members(top_of_basis(X1)))
| element_of_set(X0,union_of_members(X1)) ),
inference(duplicate_literal_removal,[],[f46]) ).
fof(f54,plain,
! [X0,X1] :
( element_of_set(in_1st_set(union_of_members(top_of_basis(X0)),X1),union_of_members(X0))
| subset_sets(union_of_members(top_of_basis(X0)),X1) ),
inference(resolution,[],[f47,f10]) ).
fof(f77,plain,
! [X2,X0,X1] :
( element_of_set(in_1st_set(union_of_members(top_of_basis(X0)),X1),X2)
| subset_sets(union_of_members(top_of_basis(X0)),X1)
| ~ basis(X2,X0) ),
inference(resolution,[],[f54,f19]) ).
fof(f92,plain,
! [X0,X1] :
( subset_sets(union_of_members(top_of_basis(X0)),X1)
| ~ basis(X1,X0)
| subset_sets(union_of_members(top_of_basis(X0)),X1) ),
inference(resolution,[],[f77,f11]) ).
fof(f100,plain,
! [X0,X1] :
( subset_sets(union_of_members(top_of_basis(X0)),X1)
| ~ basis(X1,X0) ),
inference(duplicate_literal_removal,[],[f92]) ).
fof(f101,plain,
~ basis(cx,f),
inference(resolution,[],[f100,f13]) ).
fof(f103,plain,
$false,
inference(forward_subsumption_resolution,[],[f101,f12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : TOP001-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.18 % Computer : n005.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Mon Sep 28 18:48:01 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.22 Running first-order theorem proving
% 0.07/0.22 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.64/1.06 % (1035274)Input is clausal, will run a generic CNF schedule.
% 2.64/1.06 % (1035412)lrs+10_1_sil=8000:sp=occurrence:random_seed=1116697188:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.64/1.06 % (1035412)First to succeed.
% 2.64/1.06 % (1035412)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1035274"
% 2.64/1.06 % (1035409)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3371042861:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.64/1.06 % (1035417)dis-21_1_sil=8000:lcm=predicate:random_seed=703193908:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 2.64/1.06 % (1035415)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=863116334:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.64/1.06 % (1035414)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3645658007:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.64/1.06 % (1035407)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=2486312707:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.64/1.06 % (1035411)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2540522334:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.64/1.06 % (1035415)Also succeeded, but the first one will report.
% 2.64/1.06 % (1035414)Instruction limit reached!
% 2.64/1.06 % (1035414)------------------------------
% 2.64/1.06 % (1035414)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.64/1.06 % (1035414)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.64/1.06 % (1035414)CaDiCaL version: 2.1.3
% 2.64/1.06 % (1035414)Termination reason: Instruction limit
% 2.64/1.06 % (1035414)Termination phase: Saturation
% 2.64/1.06 % (1035414)Time elapsed: 0.052 s
% 2.64/1.06 % (1035414)Peak memory usage: 87 MB
% 2.64/1.06 % (1035414)Instructions burned: 116 (million)
% 2.64/1.06 % (1035417)Instruction limit reached!
% 2.64/1.06 % (1035417)------------------------------
% 2.64/1.06 % (1035417)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.64/1.06 % (1035417)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.64/1.06 % (1035417)CaDiCaL version: 2.1.3
% 2.64/1.06 % (1035417)Termination reason: Instruction limit
% 2.64/1.06 % (1035417)Termination phase: Saturation
% 2.64/1.06 % (1035417)Time elapsed: 0.068 s
% 2.64/1.06 % (1035417)Peak memory usage: 88 MB
% 2.64/1.06 % (1035417)Instructions burned: 118 (million)
% 2.64/1.06 % (1035412)Refutation found. Thanks to Tanya!
% 2.64/1.06 % SZS status Unsatisfiable for theBenchmark
% 2.64/1.06 % SZS output start Proof for theBenchmark
% See solution above
% 2.64/1.06 % (1035412)------------------------------
% 2.64/1.06 % (1035412)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.64/1.06 % (1035412)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.64/1.06 % (1035412)CaDiCaL version: 2.1.3
% 2.64/1.06 % (1035412)Termination reason: Refutation
% 2.64/1.06 % (1035412)Time elapsed: 0.003 s
% 2.64/1.06 % (1035412)Peak memory usage: 88 MB
% 2.64/1.06 % (1035412)Instructions burned: 5 (million)
% 2.64/1.06 % (1035412)------------------------------
% 2.64/1.06 % (1035412)------------------------------
% 2.64/1.06 % (1035274)Success in time 0.289 s
% 2.64/1.06 % Vampire exiting
%------------------------------------------------------------------------------