TSTP Solution File: LCL258-3 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LCL258-3 : TPTP v8.1.0. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n006.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 : Sun Jul 17 14:21:48 EDT 2022
% Result : Unsatisfiable 0.83s 1.03s
% Output : Refutation 0.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of clauses : 19 ( 17 unt; 0 nHn; 4 RR)
% Number of literals : 22 ( 1 equ; 4 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 35 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(axiom_1_2,axiom,
axiom(implies(or(X,X),X)),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',axiom_1_2) ).
cnf(axiom_1_3,axiom,
axiom(implies(X,or(Y,X))),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',axiom_1_3) ).
cnf(axiom_1_5,axiom,
axiom(implies(or(X,or(Y,Z)),or(Y,or(X,Z)))),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',axiom_1_5) ).
cnf(axiom_1_6,axiom,
axiom(implies(implies(X,Y),implies(or(Z,X),or(Z,Y)))),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',axiom_1_6) ).
cnf(implies_definition,axiom,
implies(X,Y) = or(not(X),Y),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',implies_definition) ).
cnf(rule_1,axiom,
( theorem(X)
| ~ axiom(X) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',rule_1) ).
cnf(rule_2,axiom,
( theorem(X)
| ~ theorem(implies(Y,X))
| ~ theorem(Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',rule_2) ).
cnf(prove_this,negated_conjecture,
~ theorem(implies(p,implies(implies(p,q),q))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
cnf(10,plain,
theorem(implies(or(X,X),X)),
inference('HYPERRESOLVE',[status(thm)],[rule_1,axiom_1_2]) ).
cnf(11,plain,
theorem(implies(X,or(Y,X))),
inference('HYPERRESOLVE',[status(thm)],[rule_1,axiom_1_3]) ).
cnf(18,plain,
theorem(implies(or(X,or(Y,Z)),or(Y,or(X,Z)))),
inference('HYPERRESOLVE',[status(thm)],[rule_1,axiom_1_5]) ).
cnf(21,plain,
theorem(implies(implies(X,Y),implies(or(Z,X),or(Z,Y)))),
inference('HYPERRESOLVE',[status(thm)],[rule_1,axiom_1_6]) ).
cnf(329,plain,
theorem(implies(implies(X,or(Y,Z)),or(Y,implies(X,Z)))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[18,implies_definition,theory(equality)]),implies_definition,theory(equality)]) ).
cnf(344,plain,
theorem(implies(or(X,or(Y,Y)),or(X,Y))),
inference('HYPERRESOLVE',[status(thm)],[rule_2,21,10]) ).
cnf(369,plain,
theorem(implies(implies(X,or(Y,Y)),implies(X,Y))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[344,implies_definition,theory(equality)]),implies_definition,theory(equality)]) ).
cnf(757,plain,
theorem(implies(X,X)),
inference('HYPERRESOLVE',[status(thm)],[rule_2,369,11]) ).
cnf(2875,plain,
theorem(or(X,implies(or(X,Y),Y))),
inference('HYPERRESOLVE',[status(thm)],[rule_2,329,757]) ).
cnf(3094,plain,
theorem(implies(X,implies(implies(X,Y),Y))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[2875,implies_definition,theory(equality)]),implies_definition,theory(equality)]) ).
cnf(3095,plain,
$false,
inference('REWRITE',[status(thm)],[prove_this,3094]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : LCL258-3 : TPTP v8.1.0. Released v2.3.0.
% 0.10/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n006.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jul 4 08:18:22 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45 *
% 0.18/0.45 *
% 0.18/0.46 #<PACKAGE "SNARK-USER">
% 0.18/0.46 *
% 0.18/0.46 SNARK-TPTP-OPTIONS
% 0.18/0.46 *
% 0.18/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46 (USE-FACTORING :POS)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46 *
% 0.18/0.46 "."
% 0.18/0.46 *
% 0.18/0.46 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-04T08:18:22
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n006.cluster.edu at 2022-07-04T08:18:22
% 0.83/1.03
% 0.83/1.03
% 0.83/1.03 #||
% 0.83/1.03 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.83/1.03 % SZS output start Refutation
% See solution above
% 0.83/1.03 ||#
% 0.83/1.03
% 0.83/1.03 ; Summary of computation:
% 0.83/1.03 ; 6621 formulas have been input or derived (from 137 formulas).
% 0.83/1.03 ; 3095 (47%) were retained. Of these,
% 0.83/1.03 ; 2 ( 0%) were simplified or subsumed later,
% 0.83/1.03 ; 3093 (100%) are still being kept.
% 0.83/1.03 ;
% 0.83/1.03 ; Run time in seconds excluding printing time:
% 0.83/1.03 ; 0.002 0% Read assertion file (1 call)
% 0.83/1.03 ; 0.000 0% Assert (9 calls)
% 0.83/1.03 ; 0.237 41% Process new row (5,427 calls)
% 0.83/1.03 ; 0.124 22% Resolution (272 calls)
% 0.83/1.03 ; 0.018 3% Paramodulation (136 calls)
% 0.83/1.03 ; 0.000 0% Condensing (2 calls)
% 0.83/1.03 ; 0.000 0% Forward subsumption (2 calls)
% 0.83/1.03 ; 0.000 0% Backward subsumption (2 calls)
% 0.83/1.03 ; 0.094 16% Forward simplification (5,427 calls)
% 0.83/1.03 ; 0.055 10% Backward simplification (3,095 calls)
% 0.83/1.03 ; 0.000 0% Ordering (122 calls)
% 0.83/1.03 ; 0.000 0% Sortal reasoning (32 calls)
% 0.83/1.03 ; 0.000 0% Purity testing (1 call)
% 0.83/1.03 ; 0.043 8% Other
% 0.83/1.03 ; 0.573 Total
% 0.83/1.03 ; 0.574 Real time
% 0.83/1.03 ;
% 0.83/1.03 ; Term-hash-array has 6,910 terms in all.
% 0.83/1.03 ; Feature-vector-row-index has 2 entries (2 at peak, 2 added, 0 deleted).
% 0.83/1.03 ; Feature-vector-row-index has 6 nodes (6 at peak, 6 added, 0 deleted).
% 0.83/1.03 ; Retrieved 0 possibly forward subsuming rows in 2 calls.
% 0.83/1.03 ; Retrieved 0 possibly backward subsumed rows in 2 calls.
% 0.83/1.03 ; Path-index has 6,910 entries (6,911 at peak, 6,912 added, 2 deleted).
% 0.83/1.03 ; Path-index has 5,766 nodes (5,766 at peak, 5,766 added, 0 deleted).
% 0.83/1.03 ; Trie-index has 6,910 entries (6,911 at peak, 6,912 added, 2 deleted).
% 0.83/1.03 ; Trie-index has 22,752 nodes (22,755 at peak, 22,755 added, 3 deleted).
% 0.83/1.03 ; Retrieved 21,771 generalization terms in 12,488 calls.
% 0.83/1.03 ; Retrieved 10,140 instance terms in 3,092 calls.
% 0.83/1.03 ; Retrieved 112,748 unifiable terms in 2,677 calls.
% 0.83/1.03 ;
% 0.83/1.03 ; The agenda of rows to process has 49 entries:
% 0.83/1.03 ; 1 with value 20 10 with value 24 11 with value 27
% 0.83/1.03 ; 9 with value 21 2 with value 25 8 with value 28
% 0.83/1.03 ; 2 with value 22 4 with value 26 1 with value 31
% 0.83/1.03 ; 1 with value 23
% 0.83/1.03 ; The agenda of rows to give has 2957 entries:
% 0.83/1.03 ; 1 with value (4 17) 288 with value (4 25) 13 with value (4 33)
% 0.83/1.03 ; 51 with value (4 18) 323 with value (4 26) 12 with value (4 34)
% 0.83/1.03 ; 73 with value (4 19) 411 with value (4 27) 1 with value (4 35)
% 0.83/1.03 ; 100 with value (4 20) 393 with value (4 28) 6 with value (4 36)
% 0.83/1.03 ; 156 with value (4 21) 270 with value (4 29) 4 with value (4 37)
% 0.83/1.03 ; 111 with value (4 22) 186 with value (4 30) 1 with value (4 38)
% 0.83/1.03 ; 181 with value (4 23) 92 with value (4 31) 5 with value (4 39)
% 0.83/1.03 ; 241 with value (4 24) 38 with value (4 32)
% 0.83/1.03 Evaluation took:
% 0.83/1.03 0.575 seconds of real time
% 0.83/1.03 0.529276 seconds of user run time
% 0.83/1.03 0.045434 seconds of system run time
% 0.83/1.03 [Run times include 0.046 seconds GC run time.]
% 0.83/1.03 0 calls to %EVAL
% 0.83/1.03 0 page faults and
% 0.83/1.03 42,530,800 bytes consed.
% 0.83/1.03 :PROOF-FOUND
% 0.83/1.03 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-04T08:18:23
% 0.83/1.03 :PROOF-FOUND
% 0.83/1.03 *
%------------------------------------------------------------------------------