%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU323-10 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n009.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 12:52:52 PM UTC 2026
% Result : Unsatisfiable 0.17s 0.47s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 11
% Syntax : Number of formulae : 46 ( 46 unt; 0 def)
% Number of atoms : 46 ( 45 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 3 con; 0-4 aty)
% Number of variables : 26 ( 26 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : ifeq2(X0,X0,X1,X2) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ifeq_axiom) ).
fof(f2,axiom,
! [X2,X0,X1] : ifeq(X0,X0,X1,X2) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ifeq_axiom_001) ).
fof(f3,axiom,
! [X0,X1] : ifeq(element(X0,powerset(the_carrier(X1))),true,ifeq(closed_subset(X0,X1),true,ifeq(topological_space(X1),true,ifeq(top_str(X1),true,open_subset(subset_complement(the_carrier(X1),X0),X1),true),true),true),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc3_tops_1) ).
fof(f4,plain,
! [X0,X1] : true = ifeq(element(X0,powerset(the_carrier(X1))),true,ifeq(closed_subset(X0,X1),true,ifeq(topological_space(X1),true,ifeq(top_str(X1),true,open_subset(subset_complement(the_carrier(X1),X0),X1),true),true),true),true),
inference(reorient_equations,[],[f3]) ).
fof(f14,axiom,
! [X0,X1] : ifeq(element(X0,powerset(X1)),true,element(subset_complement(X1,X0),powerset(X1)),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k3_subset_1) ).
fof(f15,plain,
! [X0,X1] : true = ifeq(element(X0,powerset(X1)),true,element(subset_complement(X1,X0),powerset(X1)),true),
inference(reorient_equations,[],[f14]) ).
fof(f16,axiom,
! [X0,X1] : ifeq(element(X0,powerset(the_carrier(X1))),true,ifeq(top_str(X1),true,element(topstr_closure(X1,X0),powerset(the_carrier(X1))),true),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k6_pre_topc) ).
fof(f17,plain,
! [X0,X1] : true = ifeq(element(X0,powerset(the_carrier(X1))),true,ifeq(top_str(X1),true,element(topstr_closure(X1,X0),powerset(the_carrier(X1))),true),true),
inference(reorient_equations,[],[f16]) ).
fof(f18,axiom,
! [X0,X1] : ifeq(element(X0,powerset(the_carrier(X1))),true,ifeq(topological_space(X1),true,ifeq(top_str(X1),true,closed_subset(topstr_closure(X1,X0),X1),true),true),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc2_tops_1) ).
fof(f19,plain,
! [X0,X1] : true = ifeq(element(X0,powerset(the_carrier(X1))),true,ifeq(topological_space(X1),true,ifeq(top_str(X1),true,closed_subset(topstr_closure(X1,X0),X1),true),true),true),
inference(reorient_equations,[],[f18]) ).
fof(f38,axiom,
! [X0,X1] : ifeq2(element(X0,powerset(the_carrier(X1))),true,ifeq2(top_str(X1),true,subset_complement(the_carrier(X1),topstr_closure(X1,subset_complement(the_carrier(X1),X0))),interior(X1,X0)),interior(X1,X0)) = interior(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_tops_1) ).
fof(f39,plain,
! [X0,X1] : interior(X1,X0) = ifeq2(element(X0,powerset(the_carrier(X1))),true,ifeq2(top_str(X1),true,subset_complement(the_carrier(X1),topstr_closure(X1,subset_complement(the_carrier(X1),X0))),interior(X1,X0)),interior(X1,X0)),
inference(reorient_equations,[],[f38]) ).
fof(f40,negated_conjecture,
top_str(sK2_t51_tops_1_A) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t51_tops_1) ).
fof(f41,plain,
true = top_str(sK2_t51_tops_1_A),
inference(reorient_equations,[],[f40]) ).
fof(f42,negated_conjecture,
topological_space(sK2_t51_tops_1_A) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t51_tops_1_1) ).
fof(f43,plain,
true = topological_space(sK2_t51_tops_1_A),
inference(reorient_equations,[],[f42]) ).
fof(f44,negated_conjecture,
element(sK1_t51_tops_1_B,powerset(the_carrier(sK2_t51_tops_1_A))) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t51_tops_1_2) ).
fof(f45,plain,
true = element(sK1_t51_tops_1_B,powerset(the_carrier(sK2_t51_tops_1_A))),
inference(reorient_equations,[],[f44]) ).
fof(f46,negated_conjecture,
open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A) != true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t51_tops_1_3) ).
fof(f47,plain,
true != open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),
inference(reorient_equations,[],[f46]) ).
fof(f76,plain,
true = ifeq(true,true,element(subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B),powerset(the_carrier(sK2_t51_tops_1_A))),true),
inference(superposition,[],[f15,f45]) ).
fof(f81,plain,
true = element(subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B),powerset(the_carrier(sK2_t51_tops_1_A))),
inference(forward_demodulation,[],[f76,f2]) ).
fof(f236,plain,
interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B) = ifeq2(true,true,ifeq2(top_str(sK2_t51_tops_1_A),true,subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B))),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),
inference(superposition,[],[f39,f45]) ).
fof(f243,plain,
interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B) = ifeq2(top_str(sK2_t51_tops_1_A),true,subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B))),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),
inference(forward_demodulation,[],[f236,f1]) ).
fof(f248,plain,
interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B) = ifeq2(true,true,subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B))),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),
inference(forward_demodulation,[],[f243,f41]) ).
fof(f252,plain,
interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B) = subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B))),
inference(forward_demodulation,[],[f248,f1]) ).
fof(f478,plain,
true = ifeq(true,true,ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true),true),true),
inference(superposition,[],[f19,f81]) ).
fof(f480,plain,
true = ifeq(true,true,ifeq(top_str(sK2_t51_tops_1_A),true,element(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))),true),true),
inference(superposition,[],[f17,f81]) ).
fof(f488,plain,
true = ifeq(top_str(sK2_t51_tops_1_A),true,element(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))),true),
inference(forward_demodulation,[],[f480,f2]) ).
fof(f490,plain,
true = ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true),true),
inference(forward_demodulation,[],[f478,f2]) ).
fof(f496,plain,
true = ifeq(true,true,element(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))),true),
inference(forward_demodulation,[],[f488,f41]) ).
fof(f498,plain,
true = ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(true,true,closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true),true),
inference(forward_demodulation,[],[f490,f41]) ).
fof(f502,plain,
true = element(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))),
inference(forward_demodulation,[],[f496,f2]) ).
fof(f504,plain,
true = ifeq(topological_space(sK2_t51_tops_1_A),true,closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true),
inference(forward_demodulation,[],[f498,f2]) ).
fof(f509,plain,
true = ifeq(true,true,closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true),
inference(forward_demodulation,[],[f504,f43]) ).
fof(f513,plain,
true = closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),
inference(forward_demodulation,[],[f509,f2]) ).
fof(f524,plain,
true = ifeq(element(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))),true,ifeq(closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true,ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),true),true),true),
inference(superposition,[],[f4,f252]) ).
fof(f531,plain,
true = ifeq(element(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))),true,ifeq(closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true,ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(true,true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),true),true),true),
inference(forward_demodulation,[],[f524,f41]) ).
fof(f537,plain,
true = ifeq(element(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))),true,ifeq(closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true,ifeq(topological_space(sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),true),true),
inference(forward_demodulation,[],[f531,f2]) ).
fof(f541,plain,
true = ifeq(element(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))),true,ifeq(closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true,ifeq(true,true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),true),true),
inference(forward_demodulation,[],[f537,f43]) ).
fof(f545,plain,
true = ifeq(element(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))),true,ifeq(closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),true),
inference(forward_demodulation,[],[f541,f2]) ).
fof(f548,plain,
true = ifeq(element(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))),true,ifeq(true,true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),true),
inference(forward_demodulation,[],[f545,f513]) ).
fof(f550,plain,
true = ifeq(element(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),
inference(forward_demodulation,[],[f548,f2]) ).
fof(f552,plain,
true = ifeq(true,true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),
inference(forward_demodulation,[],[f550,f502]) ).
fof(f554,plain,
true = open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),
inference(forward_demodulation,[],[f552,f2]) ).
fof(f555,plain,
$false,
inference(forward_subsumption_resolution,[],[f554,f47]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU323-10 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.38 % Computer : n009.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
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Mon Sep 28 04:42:45 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.41 Running first-order model finding
% 0.10/0.41 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.47 % (2664324)Will run a generic schedule for satisfiability detection.
% 0.17/0.47 % (2664329)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=549745039_2999 on theBenchmark for (2999ds/0Mi)
% 0.17/0.47 % (2664330)% WARNING: option uhcvi not known.
% 0.17/0.47 % TRYING [1]
% 0.17/0.47 % TRYING [2]
% 0.17/0.47 % (2664330)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=565234171:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.17/0.47 % (2664331)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=743109263:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.17/0.47 % (2664332)dis+10_1_sil=32000:sp=arity:random_seed=272627081:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.17/0.47 % (2664333)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3223918089:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/0.47 % (2664335)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=219010290:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.17/0.47 % (2664334)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2541774399:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.17/0.47 % TRYING [3]
% 0.17/0.47 % (2664333) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2664324-2664333"...
% 0.17/0.47 % (2664333)...printing done.
% 0.17/0.47 % (2664333)Refutation found. Thanks to Tanya!
% 0.17/0.47 % SZS status Unsatisfiable for theBenchmark
% 0.17/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.47 % (2664333)------------------------------
% 0.17/0.47 % (2664333)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.47 % (2664333)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.47 % (2664333)CaDiCaL version: 2.1.3
% 0.17/0.47 % (2664333)Termination reason: Refutation
% 0.17/0.47 % (2664333)Time elapsed: 0.014 s
% 0.17/0.47 % (2664333)Peak memory usage: 11 MB
% 0.17/0.47 % (2664333)Instructions burned: 24 (million)
% 0.17/0.47 % (2664324)Success in time 0.049 s
% 0.17/0.47 % Vampire exiting
%------------------------------------------------------------------------------