%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SEU323-10 : TPTP v9.2.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n029.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 05:11:28 PM UTC 2026
% Result : Unsatisfiable 1.35s 1.76s
% Output : CNFRefutation 1.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 11
% Syntax : Number of clauses : 27 ( 27 unt; 0 nHn; 13 RR)
% Number of literals : 27 ( 26 equ; 2 neg)
% Maximal clause size : 1 ( 1 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 : 32 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(dt_k3_subset_1,axiom,
ifeq(element(X1,powerset(X2)),true,element(subset_complement(X2,X1),powerset(X2)),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k3_subset_1) ).
cnf(t51_tops_1_2,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) ).
cnf(ifeq_axiom_001,axiom,
ifeq(X1,X1,X2,X3) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ifeq_axiom_001) ).
cnf(d1_tops_1,axiom,
ifeq2(element(X1,powerset(the_carrier(X2))),true,ifeq2(top_str(X2),true,subset_complement(the_carrier(X2),topstr_closure(X2,subset_complement(the_carrier(X2),X1))),interior(X2,X1)),interior(X2,X1)) = interior(X2,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_tops_1) ).
cnf(t51_tops_1,negated_conjecture,
top_str(sK2_t51_tops_1_A) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t51_tops_1) ).
cnf(ifeq_axiom,axiom,
ifeq2(X1,X1,X2,X3) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ifeq_axiom) ).
cnf(dt_k6_pre_topc,axiom,
ifeq(element(X1,powerset(the_carrier(X2))),true,ifeq(top_str(X2),true,element(topstr_closure(X2,X1),powerset(the_carrier(X2))),true),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k6_pre_topc) ).
cnf(fc2_tops_1,axiom,
ifeq(element(X1,powerset(the_carrier(X2))),true,ifeq(topological_space(X2),true,ifeq(top_str(X2),true,closed_subset(topstr_closure(X2,X1),X2),true),true),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc2_tops_1) ).
cnf(t51_tops_1_1,negated_conjecture,
topological_space(sK2_t51_tops_1_A) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t51_tops_1_1) ).
cnf(fc3_tops_1,axiom,
ifeq(element(X1,powerset(the_carrier(X2))),true,ifeq(closed_subset(X1,X2),true,ifeq(topological_space(X2),true,ifeq(top_str(X2),true,open_subset(subset_complement(the_carrier(X2),X1),X2),true),true),true),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc3_tops_1) ).
cnf(t51_tops_1_3,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) ).
cnf(c_0_11,axiom,
ifeq(element(X1,powerset(X2)),true,element(subset_complement(X2,X1),powerset(X2)),true) = true,
dt_k3_subset_1 ).
cnf(c_0_12,negated_conjecture,
element(sK1_t51_tops_1_B,powerset(the_carrier(sK2_t51_tops_1_A))) = true,
t51_tops_1_2 ).
cnf(c_0_13,axiom,
ifeq(X1,X1,X2,X3) = X2,
ifeq_axiom_001 ).
cnf(c_0_14,axiom,
ifeq2(element(X1,powerset(the_carrier(X2))),true,ifeq2(top_str(X2),true,subset_complement(the_carrier(X2),topstr_closure(X2,subset_complement(the_carrier(X2),X1))),interior(X2,X1)),interior(X2,X1)) = interior(X2,X1),
d1_tops_1 ).
cnf(c_0_15,negated_conjecture,
top_str(sK2_t51_tops_1_A) = true,
t51_tops_1 ).
cnf(c_0_16,axiom,
ifeq2(X1,X1,X2,X3) = X2,
ifeq_axiom ).
cnf(c_0_17,axiom,
ifeq(element(X1,powerset(the_carrier(X2))),true,ifeq(top_str(X2),true,element(topstr_closure(X2,X1),powerset(the_carrier(X2))),true),true) = true,
dt_k6_pre_topc ).
cnf(c_0_18,negated_conjecture,
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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13]) ).
cnf(c_0_19,axiom,
ifeq(element(X1,powerset(the_carrier(X2))),true,ifeq(topological_space(X2),true,ifeq(top_str(X2),true,closed_subset(topstr_closure(X2,X1),X2),true),true),true) = true,
fc2_tops_1 ).
cnf(c_0_20,negated_conjecture,
topological_space(sK2_t51_tops_1_A) = true,
t51_tops_1_1 ).
cnf(c_0_21,axiom,
ifeq(element(X1,powerset(the_carrier(X2))),true,ifeq(closed_subset(X1,X2),true,ifeq(topological_space(X2),true,ifeq(top_str(X2),true,open_subset(subset_complement(the_carrier(X2),X1),X2),true),true),true),true) = true,
fc3_tops_1 ).
cnf(c_0_22,negated_conjecture,
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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_12]),c_0_15]),c_0_16]),c_0_16]) ).
cnf(c_0_23,negated_conjecture,
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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_15]),c_0_13]),c_0_13]) ).
cnf(c_0_24,negated_conjecture,
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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_18]),c_0_20]),c_0_15]),c_0_13]),c_0_13]),c_0_13]) ).
cnf(c_0_25,negated_conjecture,
open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A) != true,
t51_tops_1_3 ).
cnf(c_0_26,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23]),c_0_24]),c_0_20]),c_0_15]),c_0_13]),c_0_13]),c_0_13]),c_0_13]),c_0_25]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU323-10 : TPTP v9.2.1. Released v7.3.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.16/0.33 % Computer : n029.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Tue May 5 02:57:29 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 1.35/1.76 % Version : CSE_E---1.7
% 1.35/1.76 % Problem : theBenchmark.p
% 1.35/1.76 % SZS status Unsatisfiable for theBenchmark.p
% 1.35/1.76 % SZS output start CNFRefutation
% See solution above
% 1.35/1.76 % Total time : 1.373s
%------------------------------------------------------------------------------