TSTP Solution File: SEU323-10 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SEU323-10 : TPTP v8.1.2. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n032.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 : Thu Aug 31 16:24:26 EDT 2023
% Result : Unsatisfiable 0.17s 0.50s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 33
% Syntax : Number of formulae : 49 ( 27 unt; 22 typ; 0 def)
% Number of atoms : 27 ( 26 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 30 ( 17 >; 13 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 22 ( 22 usr; 5 con; 0-4 aty)
% Number of variables : 32 ( 4 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
ifeq2: ( $i * $i * $i * $i ) > $i ).
tff(decl_23,type,
ifeq: ( $i * $i * $i * $i ) > $i ).
tff(decl_24,type,
the_carrier: $i > $i ).
tff(decl_25,type,
powerset: $i > $i ).
tff(decl_26,type,
element: ( $i * $i ) > $i ).
tff(decl_27,type,
true: $i ).
tff(decl_28,type,
closed_subset: ( $i * $i ) > $i ).
tff(decl_29,type,
topological_space: $i > $i ).
tff(decl_30,type,
top_str: $i > $i ).
tff(decl_31,type,
subset_complement: ( $i * $i ) > $i ).
tff(decl_32,type,
open_subset: ( $i * $i ) > $i ).
tff(decl_33,type,
sK7_rc6_pre_topc_B: $i > $i ).
tff(decl_34,type,
subset: ( $i * $i ) > $i ).
tff(decl_35,type,
sK6_existence_l1_struct_0_A: $i ).
tff(decl_36,type,
one_sorted_str: $i > $i ).
tff(decl_37,type,
topstr_closure: ( $i * $i ) > $i ).
tff(decl_38,type,
sK5_existence_l1_pre_topc_A: $i ).
tff(decl_39,type,
sK4_existence_m1_subset_1_B: $i > $i ).
tff(decl_40,type,
interior: ( $i * $i ) > $i ).
tff(decl_41,type,
sK3_rc1_tops_1_B: $i > $i ).
tff(decl_42,type,
sK2_t51_tops_1_A: $i ).
tff(decl_43,type,
sK1_t51_tops_1_B: $i ).
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
% 0.00/0.11 % Problem : SEU323-10 : TPTP v8.1.2. Released v7.3.0.
% 0.00/0.11 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.11/0.31 % Computer : n032.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Wed Aug 23 18:06:41 EDT 2023
% 0.11/0.31 % CPUTime :
% 0.17/0.47 start to proof: theBenchmark
% 0.17/0.50 % Version : CSE_E---1.5
% 0.17/0.50 % Problem : theBenchmark.p
% 0.17/0.50 % Proof found
% 0.17/0.50 % SZS status Theorem for theBenchmark.p
% 0.17/0.50 % SZS output start Proof
% See solution above
% 0.17/0.50 % Total time : 0.017000 s
% 0.17/0.50 % SZS output end Proof
% 0.17/0.50 % Total time : 0.020000 s
%------------------------------------------------------------------------------