%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SEU323-10 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p 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 : Fri Sep 25 02:56:51 PM UTC 2026
% Result : Unsatisfiable 3.77s 1.23s
% Output : CNFRefutation 3.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 11
% Syntax : Number of formulae : 56 ( 56 unt; 0 def)
% Number of atoms : 56 ( 55 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% 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 : 52 ( 0 sgn 52 !; 0 ?; 26 :)
% 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]) ).
tcf(c_74,plain,
! [X0: $i,X1: $i,X2: $i] : ifeq2(X0,X0,X1,X2) = X1,
inference(cnf_transformation,[],[f1]) ).
tcf(c_75,plain,
! [X0: $i,X1: $i,X2: $i] : ifeq(X0,X0,X1,X2) = X1,
inference(cnf_transformation,[],[f2]) ).
tcf(c_76,plain,
! [X0: $i,X1: $i] : 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,
inference(cnf_transformation,[],[f4]) ).
tcf(c_82,plain,
! [X0: $i,X1: $i] : ifeq(element(X0,powerset(X1)),true,element(subset_complement(X1,X0),powerset(X1)),true) = true,
inference(cnf_transformation,[],[f15]) ).
tcf(c_83,plain,
! [X0: $i,X1: $i] : 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,
inference(cnf_transformation,[],[f17]) ).
tcf(c_84,plain,
! [X0: $i,X1: $i] : 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,
inference(cnf_transformation,[],[f19]) ).
tcf(c_94,plain,
! [X0: $i,X1: $i] : 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),
inference(cnf_transformation,[],[f39]) ).
tcf(c_95,negated_conjecture,
top_str(sK2_t51_tops_1_A) = true,
inference(cnf_transformation,[],[f41]) ).
tcf(c_96,negated_conjecture,
topological_space(sK2_t51_tops_1_A) = true,
inference(cnf_transformation,[],[f43]) ).
tcf(c_97,negated_conjecture,
element(sK1_t51_tops_1_B,powerset(the_carrier(sK2_t51_tops_1_A))) = true,
inference(cnf_transformation,[],[f45]) ).
tcf(c_98,negated_conjecture,
open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A) != true,
inference(cnf_transformation,[],[f47]) ).
tcf(c_145,plain,
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) = true,
inference(superposition,[status(thm)],[c_97,c_82]) ).
tcf(c_161,plain,
! [X0: $i] : ifeq(element(X0,powerset(the_carrier(sK2_t51_tops_1_A))),true,ifeq(true,true,element(topstr_closure(sK2_t51_tops_1_A,X0),powerset(the_carrier(sK2_t51_tops_1_A))),true),true) = true,
inference(superposition,[status(thm)],[c_95,c_83]) ).
tcf(c_170,plain,
! [X0: $i] : ifeq(element(X0,powerset(the_carrier(sK2_t51_tops_1_A))),true,ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(true,true,closed_subset(topstr_closure(sK2_t51_tops_1_A,X0),sK2_t51_tops_1_A),true),true),true) = true,
inference(superposition,[status(thm)],[c_95,c_84]) ).
tcf(c_172,plain,
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)) = interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),
inference(superposition,[status(thm)],[c_97,c_94]) ).
tcf(c_179,plain,
! [X0: $i] : ifeq(element(X0,powerset(the_carrier(sK2_t51_tops_1_A))),true,ifeq(closed_subset(X0,sK2_t51_tops_1_A),true,ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(true,true,open_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),X0),sK2_t51_tops_1_A),true),true),true),true) = true,
inference(superposition,[status(thm)],[c_95,c_76]) ).
tcf(c_192,plain,
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(demodulation,[status(thm)],[c_145,c_75]) ).
tcf(c_235,plain,
! [X0: $i] : ifeq(element(X0,powerset(the_carrier(sK2_t51_tops_1_A))),true,element(topstr_closure(sK2_t51_tops_1_A,X0),powerset(the_carrier(sK2_t51_tops_1_A))),true) = true,
inference(demodulation,[status(thm)],[c_161,c_75]) ).
tcf(c_238,plain,
! [X0: $i] : ifeq(element(X0,powerset(the_carrier(sK2_t51_tops_1_A))),true,ifeq(topological_space(sK2_t51_tops_1_A),true,closed_subset(topstr_closure(sK2_t51_tops_1_A,X0),sK2_t51_tops_1_A),true),true) = true,
inference(demodulation,[status(thm)],[c_170,c_75]) ).
tcf(c_239,plain,
! [X0: $i] : ifeq(element(X0,powerset(the_carrier(sK2_t51_tops_1_A))),true,ifeq(true,true,closed_subset(topstr_closure(sK2_t51_tops_1_A,X0),sK2_t51_tops_1_A),true),true) = true,
inference(light_normalisation,[status(thm)],[c_238,c_96]) ).
tcf(c_240,plain,
! [X0: $i] : ifeq(element(X0,powerset(the_carrier(sK2_t51_tops_1_A))),true,closed_subset(topstr_closure(sK2_t51_tops_1_A,X0),sK2_t51_tops_1_A),true) = true,
inference(demodulation,[status(thm)],[c_239,c_75]) ).
tcf(c_246,plain,
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(demodulation,[status(thm)],[c_172,c_74]) ).
tcf(c_247,plain,
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)) = interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),
inference(light_normalisation,[status(thm)],[c_246,c_95]) ).
tcf(c_248,plain,
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(demodulation,[status(thm)],[c_247,c_74]) ).
tcf(c_264,plain,
! [X0: $i] : ifeq(element(X0,powerset(the_carrier(sK2_t51_tops_1_A))),true,ifeq(closed_subset(X0,sK2_t51_tops_1_A),true,ifeq(topological_space(sK2_t51_tops_1_A),true,open_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),X0),sK2_t51_tops_1_A),true),true),true) = true,
inference(demodulation,[status(thm)],[c_179,c_75]) ).
tcf(c_265,plain,
! [X0: $i] : ifeq(element(X0,powerset(the_carrier(sK2_t51_tops_1_A))),true,ifeq(closed_subset(X0,sK2_t51_tops_1_A),true,ifeq(true,true,open_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),X0),sK2_t51_tops_1_A),true),true),true) = true,
inference(light_normalisation,[status(thm)],[c_264,c_96]) ).
tcf(c_266,plain,
! [X0: $i] : ifeq(element(X0,powerset(the_carrier(sK2_t51_tops_1_A))),true,ifeq(closed_subset(X0,sK2_t51_tops_1_A),true,open_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),X0),sK2_t51_tops_1_A),true),true) = true,
inference(demodulation,[status(thm)],[c_265,c_75]) ).
tcf(c_560,plain,
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(superposition,[status(thm)],[c_192,c_240]) ).
tcf(c_576,plain,
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) = true,
inference(superposition,[status(thm)],[c_192,c_235]) ).
tcf(c_683,plain,
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(demodulation,[status(thm)],[c_560,c_75]) ).
tcf(c_696,plain,
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(demodulation,[status(thm)],[c_576,c_75]) ).
tcf(c_1620,plain,
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(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))),sK2_t51_tops_1_A),true),true) = true,
inference(superposition,[status(thm)],[c_683,c_266]) ).
tcf(c_1976,plain,
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(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))),sK2_t51_tops_1_A),true) = true,
inference(demodulation,[status(thm)],[c_1620,c_75]) ).
tcf(c_1977,plain,
ifeq(true,true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true) = true,
inference(light_normalisation,[status(thm)],[c_1976,c_248,c_696]) ).
tcf(c_1978,plain,
open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A) = true,
inference(demodulation,[status(thm)],[c_1977,c_75]) ).
tcf(c_1979,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_1978,c_98]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU323-10 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.05 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.38 % Computer : n002.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Thu Sep 24 13:44:36 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.42 Running UEQ theorem proving
% 0.12/0.42 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s ueq_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.43
% 0.12/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.43
% 0.12/0.43 % Detected problem language: tptp
% 0.12/0.45 % Proving...
% 3.77/1.23 WARNING - Clausifier option not provided in the heuristic config "heur/vip2_118404", setting default options.
% 3.77/1.23 % SZS status Started for theBenchmark.p
% 3.77/1.23 % SZS status Unsatisfiable for theBenchmark.p
% 3.77/1.23
% 3.77/1.23 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.77/1.23
% 3.77/1.23 % ------ iProver source info
% 3.77/1.23
% 3.77/1.23 % git: date: 2026-07-19 20:42:38 +0200
% 3.77/1.23 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.77/1.23 % git: non_committed_changes: false
% 3.77/1.23
% 3.77/1.23 % ------ Parsing...% successful
% 3.77/1.23
% 3.77/1.23
% 3.77/1.23 % ------ Clausification by vclausify_rel & Parsing by iProver...
% 3.77/1.23 % ------ Proving...
% 3.77/1.23 % ------ Problem Properties
% 3.77/1.23
% 3.77/1.23 %
% 3.77/1.23 % clauses 25
% 3.77/1.23 % conjectures 4
% 3.77/1.23 % EPR 0
% 3.77/1.23 % Horn 25
% 3.77/1.23 % unary 25
% 3.77/1.23 % binary 0
% 3.77/1.23 % lits 25
% 3.77/1.23 % lits eq 25
% 3.77/1.23 % fd_pure 0
% 3.77/1.23 % fd_pseudo 0
% 3.77/1.23 % fd_cond 0
% 3.77/1.23 % fd_pseudo_cond 0
% 3.77/1.23 % AC symbols 0
% 3.77/1.23
% 3.77/1.23 % ------ Input Options Time Limit: Unbounded
% 3.77/1.23
% 3.77/1.23
% 3.77/1.23 % ------
% 3.77/1.23 % Current options:
% 3.77/1.23 % ------
% 3.77/1.23
% 3.77/1.23
% 3.77/1.23 %
% 3.77/1.23
% 3.77/1.23 % ------ Proving...
% 3.77/1.23 %
% 3.77/1.23
% 3.77/1.23 % SZS status Unsatisfiable for theBenchmark.p
% 3.77/1.23
% 3.77/1.23 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.77/1.23
% 3.77/1.23
%------------------------------------------------------------------------------