TSTP Solution File: SEU323-10 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SEU323-10 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n017.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 : 600s
% DateTime : Tue Jul 19 14:21:17 EDT 2022
% Result : Unsatisfiable 0.19s 0.57s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 11
% Syntax : Number of clauses : 16 ( 16 unt; 0 nHn; 9 RR)
% Number of literals : 16 ( 15 equ; 1 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 : 16 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(ifeq_axiom,axiom,
ifeq2(X,X,Y,Z) = Y,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ifeq_axiom) ).
cnf(ifeq_axiom_001,axiom,
ifeq(X,X,Y,Z) = Y,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ifeq_axiom_001) ).
cnf(fc3_tops_1,axiom,
ifeq(element(X,powerset(the_carrier(Y))),true,ifeq(closed_subset(X,Y),true,ifeq(topological_space(Y),true,ifeq(top_str(Y),true,open_subset(subset_complement(the_carrier(Y),X),Y),true),true),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc3_tops_1) ).
cnf(dt_k3_subset_1,axiom,
ifeq(element(X,powerset(Y)),true,element(subset_complement(Y,X),powerset(Y)),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k3_subset_1) ).
cnf(dt_k6_pre_topc,axiom,
ifeq(element(X,powerset(the_carrier(Y))),true,ifeq(top_str(Y),true,element(topstr_closure(Y,X),powerset(the_carrier(Y))),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k6_pre_topc) ).
cnf(fc2_tops_1,axiom,
ifeq(element(X,powerset(the_carrier(Y))),true,ifeq(topological_space(Y),true,ifeq(top_str(Y),true,closed_subset(topstr_closure(Y,X),Y),true),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc2_tops_1) ).
cnf(d1_tops_1,axiom,
ifeq2(element(X,powerset(the_carrier(Y))),true,ifeq2(top_str(Y),true,subset_complement(the_carrier(Y),topstr_closure(Y,subset_complement(the_carrier(Y),X))),interior(Y,X)),interior(Y,X)) = interior(Y,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_tops_1) ).
cnf(t51_tops_1,negated_conjecture,
top_str(sK2_t51_tops_1_A) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t51_tops_1) ).
cnf(t51_tops_1_1,negated_conjecture,
topological_space(sK2_t51_tops_1_A) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t51_tops_1_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/sandbox2/benchmark/theBenchmark.p',t51_tops_1_2) ).
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/sandbox2/benchmark/theBenchmark.p',t51_tops_1_3) ).
cnf(36,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('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[dt_k3_subset_1,t51_tops_1_2,theory(equality)]),ifeq_axiom_001,theory(equality)]) ).
cnf(58,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('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[d1_tops_1,t51_tops_1_2,theory(equality)]),ifeq_axiom,t51_tops_1,theory(equality)]) ).
cnf(127,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('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[dt_k6_pre_topc,36,theory(equality)]),ifeq_axiom_001,t51_tops_1,theory(equality)]) ).
cnf(128,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('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[fc2_tops_1,36,theory(equality)]),ifeq_axiom_001,t51_tops_1,t51_tops_1_1,theory(equality)]) ).
cnf(222,plain,
$false,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[fc3_tops_1,128,theory(equality)]),t51_tops_1_3,ifeq_axiom_001,58,t51_tops_1,t51_tops_1_1,127,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU323-10 : TPTP v8.1.0. Released v7.3.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n017.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sun Jun 19 18:12:43 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.47 *
% 0.19/0.47 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 0.19/0.47 SNARK-TPTP-OPTIONS
% 0.19/0.47 *
% 0.19/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47 (USE-FACTORING :POS)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47 *
% 0.19/0.47 "."
% 0.19/0.47 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-19T18:12:44
% 0.19/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n017.cluster.edu at 2022-06-19T18:12:44
% 0.19/0.49
% 0.19/0.57 ; Recognized possible left inverse assertion (= (|element| (|sK4_existence_m1_subset_1_B| ?X) ?X) |true|).
% 0.19/0.57
% 0.19/0.57 #||
% 0.19/0.57 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.57 % SZS output start Refutation
% See solution above
% 0.19/0.58 ||#
% 0.19/0.58
% 0.19/0.58 ; Summary of computation:
% 0.19/0.58 ; 430 formulas have been input or derived (from 74 formulas).
% 0.19/0.58 ; 222 (52%) were retained. Of these,
% 0.19/0.58 ; 31 (14%) were simplified or subsumed later,
% 0.19/0.58 ; 191 (86%) are still being kept.
% 0.19/0.58 ;
% 0.19/0.58 ; Run time in seconds excluding printing time:
% 0.19/0.58 ; 0.005 5% Read assertion file (1 call)
% 0.19/0.58 ; 0.001 1% Assert (25 calls)
% 0.19/0.58 ; 0.033 33% Process new row (430 calls)
% 0.19/0.58 ; 0.001 1% Resolution (146 calls)
% 0.19/0.58 ; 0.008 8% Paramodulation (73 calls)
% 0.19/0.58 ; 0.015 15% Forward simplification (424 calls)
% 0.19/0.58 ; 0.008 8% Backward simplification (222 calls)
% 0.19/0.58 ; 0.004 4% Ordering (903 calls)
% 0.19/0.58 ; 0.000 0% Sortal reasoning (32 calls)
% 0.19/0.58 ; 0.000 0% Purity testing (1 call)
% 0.19/0.58 ; 0.024 24% Other
% 0.19/0.58 ; 0.099 Total
% 0.19/0.58 ; 0.103 Real time
% 0.19/0.58 ;
% 0.19/0.58 ; Term-hash-array has 678 terms in all.
% 0.19/0.58 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.19/0.58 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.19/0.58 ; Path-index has 611 entries (611 at peak, 683 added, 72 deleted).
% 0.19/0.58 ; Path-index has 2,871 nodes (2,871 at peak, 2,985 added, 114 deleted).
% 0.19/0.58 ; Trie-index has 611 entries (611 at peak, 683 added, 72 deleted).
% 0.19/0.58 ; Trie-index has 4,029 nodes (4,029 at peak, 4,429 added, 400 deleted).
% 0.19/0.58 ; Retrieved 1,164 generalization terms in 2,197 calls.
% 0.19/0.58 ; Retrieved 235 instance terms in 221 calls.
% 0.19/0.58 ; Retrieved 426 unifiable terms in 590 calls.
% 0.19/0.58 ;
% 0.19/0.58 ; The agenda of rows to give has 125 entries:
% 0.19/0.58 ; 4 with value (4 17) 7 with value (4 24) 5 with value (4 31)
% 0.19/0.58 ; 3 with value (4 18) 6 with value (4 25) 4 with value (4 34)
% 0.19/0.58 ; 12 with value (4 19) 4 with value (4 26) 6 with value (4 35)
% 0.19/0.58 ; 9 with value (4 20) 3 with value (4 27) 2 with value (4 36)
% 0.19/0.58 ; 13 with value (4 21) 6 with value (4 28) 1 with value (4 38)
% 0.19/0.58 ; 10 with value (4 22) 7 with value (4 29) 4 with value (4 40)
% 0.19/0.58 ; 10 with value (4 23) 8 with value (4 30) 1 with value (4 41)
% 0.19/0.58 Evaluation took:
% 0.19/0.58 0.103 seconds of real time
% 0.19/0.58 0.089959 seconds of user run time
% 0.19/0.58 0.013371 seconds of system run time
% 0.19/0.58 0 calls to %EVAL
% 0.19/0.58 0 page faults and
% 0.19/0.58 6,260,320 bytes consed.
% 0.19/0.58 :PROOF-FOUND
% 0.19/0.58 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-19T18:12:44
% 0.19/0.58 :PROOF-FOUND
% 0.19/0.58 *
%------------------------------------------------------------------------------