TSTP Solution File: LCL111-2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LCL111-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n013.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 14:20:17 EDT 2022
% Result : Unsatisfiable 0.90s 1.15s
% Output : Refutation 0.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of clauses : 8 ( 8 unt; 0 nHn; 2 RR)
% Number of literals : 8 ( 7 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 16 ( 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_mv_25,negated_conjecture,
implies(implies(x,y),implies(implies(z,x),implies(z,y))) != truth,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_mv_25) ).
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(22,plain,
implies(implies(implies(implies(X,Y),implies(Z,Y)),U),implies(implies(Z,X),U)) = truth,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[wajsberg_2,wajsberg_2,theory(equality)]),wajsberg_1,theory(equality)]) ).
cnf(46,plain,
implies(implies(implies(implies(X,Y),Y),Z),implies(X,Z)) = truth,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[wajsberg_2,12,theory(equality)]),wajsberg_1,theory(equality)]) ).
cnf(1045,plain,
implies(implies(X,Y),implies(implies(Z,X),implies(Z,Y))) = truth,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[46,22,theory(equality)]),wajsberg_1,theory(equality)]) ).
cnf(1046,plain,
$false,
inference('REWRITE',[status(thm)],[prove_mv_25,1045,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL111-2 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n013.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 12:05:44 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.47 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.48 *
% 0.19/0.48 *
% 0.19/0.48 #<PACKAGE "SNARK-USER">
% 0.19/0.48 *
% 0.19/0.48 SNARK-TPTP-OPTIONS
% 0.19/0.48 *
% 0.19/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.48 (USE-FACTORING :POS)
% 0.19/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.48 *
% 0.19/0.48 "."
% 0.19/0.48 *
% 0.19/0.48 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-04T12:05:44
% 0.19/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n013.cluster.edu at 2022-07-04T12:05:44
% 0.19/0.50
% 0.90/1.15 ; Recognized left identity assertion (= (|implies| |truth| ?X) ?X).
% 0.90/1.15
% 0.90/1.15 #||
% 0.90/1.15 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.90/1.15 % SZS output start Refutation
% See solution above
% 0.90/1.15 ||#
% 0.90/1.15
% 0.90/1.15 ; Summary of computation:
% 0.90/1.15 ; 9832 formulas have been input or derived (from 81 formulas).
% 0.90/1.15 ; 1046 (11%) were retained. Of these,
% 0.90/1.15 ; 142 (14%) were simplified or subsumed later,
% 0.90/1.15 ; 904 (86%) are still being kept.
% 0.90/1.15 ;
% 0.90/1.15 ; Run time in seconds excluding printing time:
% 0.90/1.15 ; 0.002 0% Read assertion file (1 call)
% 0.90/1.15 ; 0.000 0% Assert (5 calls)
% 0.90/1.15 ; 0.100 15% Process new row (8,112 calls)
% 0.90/1.15 ; 0.005 1% Resolution (160 calls)
% 0.90/1.15 ; 0.128 19% Paramodulation (80 calls)
% 0.90/1.15 ; 0.305 46% Forward simplification (8,053 calls)
% 0.90/1.15 ; 0.021 3% Backward simplification (1,046 calls)
% 0.90/1.15 ; 0.051 8% Ordering (20,306 calls)
% 0.90/1.15 ; 0.000 0% Sortal reasoning (32 calls)
% 0.90/1.15 ; 0.000 0% Purity testing (1 call)
% 0.90/1.15 ; 0.054 8% Other
% 0.90/1.15 ; 0.666 Total
% 0.90/1.15 ; 0.667 Real time
% 0.90/1.15 ;
% 0.90/1.15 ; Term-hash-array has 3,566 terms in all.
% 0.90/1.15 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.90/1.15 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.90/1.15 ; Path-index has 3,186 entries (3,202 at peak, 3,616 added, 430 deleted).
% 0.90/1.15 ; Path-index has 1,442 nodes (1,465 at peak, 1,725 added, 283 deleted).
% 0.90/1.15 ; Trie-index has 3,186 entries (3,202 at peak, 3,616 added, 430 deleted).
% 0.90/1.15 ; Trie-index has 11,183 nodes (11,235 at peak, 12,964 added, 1,781 deleted).
% 0.90/1.15 ; Retrieved 107,801 generalization terms in 59,106 calls.
% 0.90/1.15 ; Retrieved 2,716 instance terms in 1,057 calls.
% 0.90/1.15 ; Retrieved 30,218 unifiable terms in 595 calls.
% 0.90/1.15 ;
% 0.90/1.15 ; The agenda of rows to process has 381 entries:
% 0.90/1.15 ; 19 with value 23 22 with value 30 12 with value 37
% 0.90/1.15 ; 12 with value 24 28 with value 31 1 with value 38
% 0.90/1.15 ; 15 with value 25 37 with value 32 3 with value 40
% 0.90/1.15 ; 11 with value 26 20 with value 33 1 with value 41
% 0.90/1.15 ; 12 with value 27 55 with value 34 3 with value 45
% 0.90/1.15 ; 14 with value 28 33 with value 35 5 with value 48
% 0.90/1.15 ; 25 with value 29 50 with value 36 3 with value 49
% 0.90/1.15 ; The agenda of rows to give has 840 entries:
% 0.90/1.15 ; 1 with value (4 20) 35 with value (4 30) 8 with value (4 38)
% 0.90/1.15 ; 26 with value (4 23) 27 with value (4 31) 22 with value (4 39)
% 0.90/1.15 ; 39 with value (4 24) 39 with value (4 32) 21 with value (4 40)
% 0.90/1.15 ; 58 with value (4 25) 34 with value (4 33) 18 with value (4 41)
% 0.90/1.15 ; 74 with value (4 26) 37 with value (4 34) 3 with value (4 42)
% 0.90/1.15 ; 101 with value (4 27) 23 with value (4 35) 2 with value (4 43)
% 0.90/1.15 ; 142 with value (4 28) 10 with value (4 36) 6 with value (4 46)
% 0.90/1.15 ; 91 with value (4 29) 23 with value (4 37)
% 0.90/1.15 Evaluation took:
% 0.90/1.15 0.668 seconds of real time
% 0.90/1.15 0.597669 seconds of user run time
% 0.90/1.15 0.069956 seconds of system run time
% 0.90/1.15 [Run times include 0.019 seconds GC run time.]
% 0.90/1.15 0 calls to %EVAL
% 0.90/1.15 0 page faults and
% 0.90/1.15 45,736,256 bytes consed.
% 0.90/1.15 :PROOF-FOUND
% 0.90/1.15 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-04T12:05:45
% 0.90/1.15 :PROOF-FOUND
% 0.90/1.15 *
%------------------------------------------------------------------------------