TSTP Solution File: LCL132-1 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LCL132-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n003.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 14:20:26 EDT 2022
% Result : Unsatisfiable 0.20s 0.51s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of clauses : 6 ( 6 unt; 0 nHn; 2 RR)
% Number of literals : 6 ( 5 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 7 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(wajsberg_1,axiom,
implies(truth,X) = X,
file('/export/starexec/sandbox/benchmark/Axioms/LCL001-0.ax',wajsberg_1) ).
cnf(wajsberg_2,axiom,
implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z))) = truth,
file('/export/starexec/sandbox/benchmark/Axioms/LCL001-0.ax',wajsberg_2) ).
cnf(prove_wajsberg_lemma,negated_conjecture,
implies(x,x) != truth,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_wajsberg_lemma) ).
cnf(12,plain,
implies(X,implies(implies(X,Y),Y)) = truth,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[wajsberg_2,wajsberg_1,theory(equality)]),wajsberg_1,theory(equality)]) ).
cnf(36,plain,
truth = implies(X,X),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[wajsberg_1,12,theory(equality)]),wajsberg_1,theory(equality)]) ).
cnf(42,plain,
$false,
inference('REWRITE',[status(thm)],[prove_wajsberg_lemma,36,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LCL132-1 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n003.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 : Mon Jul 4 06:23:24 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.47 *
% 0.20/0.47 *
% 0.20/0.47 #<PACKAGE "SNARK-USER">
% 0.20/0.47 *
% 0.20/0.48 SNARK-TPTP-OPTIONS
% 0.20/0.48 *
% 0.20/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48 (USE-FACTORING :POS)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48 *
% 0.20/0.48 "."
% 0.20/0.48 *
% 0.20/0.48 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-04T06:23:25
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n003.cluster.edu at 2022-07-04T06:23:25
% 0.20/0.49
% 0.20/0.51 ; Recognized left identity assertion (= (|implies| |truth| ?X) ?X).
% 0.20/0.51
% 0.20/0.51 #||
% 0.20/0.51 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.51 % SZS output start Refutation
% See solution above
% 0.20/0.51 ||#
% 0.20/0.51
% 0.20/0.51 ; Summary of computation:
% 0.20/0.51 ; 97 formulas have been input or derived (from 9 formulas).
% 0.20/0.51 ; 42 (43%) were retained. Of these,
% 0.20/0.51 ; 8 (19%) were simplified or subsumed later,
% 0.20/0.51 ; 34 (81%) are still being kept.
% 0.20/0.51 ;
% 0.20/0.51 ; Run time in seconds excluding printing time:
% 0.20/0.51 ; 0.001 3% Read assertion file (1 call)
% 0.20/0.51 ; 0.001 3% Assert (5 calls)
% 0.20/0.51 ; 0.006 16% Process new row (75 calls)
% 0.20/0.51 ; 0.000 0% Resolution (16 calls)
% 0.20/0.52 ; 0.001 3% Paramodulation (8 calls)
% 0.20/0.52 ; 0.004 11% Forward simplification (75 calls)
% 0.20/0.52 ; 0.002 5% Backward simplification (42 calls)
% 0.20/0.52 ; 0.000 0% Ordering (235 calls)
% 0.20/0.52 ; 0.000 0% Sortal reasoning (32 calls)
% 0.20/0.52 ; 0.000 0% Purity testing (1 call)
% 0.20/0.52 ; 0.023 61% Other
% 0.20/0.52 ; 0.038 Total
% 0.20/0.52 ; 0.039 Real time
% 0.20/0.52 ;
% 0.20/0.52 ; Term-hash-array has 154 terms in all.
% 0.20/0.52 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.20/0.52 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.20/0.52 ; Path-index has 134 entries (146 at peak, 162 added, 28 deleted).
% 0.20/0.52 ; Path-index has 344 nodes (356 at peak, 369 added, 25 deleted).
% 0.20/0.52 ; Trie-index has 134 entries (146 at peak, 162 added, 28 deleted).
% 0.20/0.52 ; Trie-index has 545 nodes (608 at peak, 655 added, 110 deleted).
% 0.20/0.52 ; Retrieved 282 generalization terms in 397 calls.
% 0.20/0.52 ; Retrieved 146 instance terms in 46 calls.
% 0.20/0.52 ; Retrieved 230 unifiable terms in 54 calls.
% 0.20/0.52 ;
% 0.20/0.52 ; The agenda of rows to process has 18 entries:
% 0.20/0.52 ; 2 with value 12 2 with value 18 1 with value 22
% 0.20/0.52 ; 1 with value 13 1 with value 19 3 with value 23
% 0.20/0.52 ; 1 with value 15 2 with value 20 2 with value 24
% 0.20/0.52 ; 2 with value 17 1 with value 21
% 0.20/0.52 ; The agenda of rows to give has 27 entries:
% 0.20/0.52 ; 1 with value (4 9) 1 with value (4 18) 6 with value (4 23)
% 0.20/0.52 ; 1 with value (4 11) 1 with value (4 19) 1 with value (4 24)
% 0.20/0.52 ; 3 with value (4 15) 3 with value (4 20) 1 with value (4 26)
% 0.20/0.52 ; 1 with value (4 16) 3 with value (4 21) 1 with value (4 29)
% 0.20/0.52 ; 2 with value (4 17) 2 with value (4 22)
% 0.20/0.52 Evaluation took:
% 0.20/0.52 0.04 seconds of real time
% 0.20/0.52 0.03535 seconds of user run time
% 0.20/0.52 0.003993 seconds of system run time
% 0.20/0.52 0 calls to %EVAL
% 0.20/0.52 0 page faults and
% 0.20/0.52 2,124,792 bytes consed.
% 0.20/0.52 :PROOF-FOUND
% 0.20/0.52 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-04T06:23:25
% 0.20/0.52 :PROOF-FOUND
% 0.20/0.52 *
%------------------------------------------------------------------------------