%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : ALG088+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% 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 : 600s
% DateTime : Thu Jul 14 17:59:51 EDT 2022
% Result : Theorem 0.15s 0.48s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 26
% Syntax : Number of clauses : 48 ( 39 unt; 9 nHn; 48 RR)
% Number of literals : 72 ( 71 equ; 6 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 10 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(4,axiom,
e10 != e14,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
cnf(11,axiom,
e20 != e21,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
cnf(12,axiom,
e20 != e22,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
cnf(15,axiom,
e21 != e22,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
cnf(16,axiom,
e21 != e23,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
cnf(17,axiom,
e21 != e24,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
cnf(46,axiom,
op1(e10,e10) = e10,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
cnf(48,axiom,
op1(e10,e12) = e12,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
cnf(52,axiom,
op1(e11,e11) = e10,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
cnf(53,axiom,
op1(e11,e12) = e13,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
cnf(58,axiom,
op1(e12,e12) = e10,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
cnf(63,axiom,
op1(e13,e12) = e14,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
cnf(77,axiom,
op2(e21,e21) = e22,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
cnf(83,axiom,
op2(e22,e22) = e21,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
cnf(89,axiom,
op2(e23,e23) = e21,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
cnf(95,axiom,
op2(e24,e24) = e21,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
cnf(96,negated_conjecture,
( h(e10) = e20
| h(e10) = e21
| h(e10) = e22
| h(e10) = e23
| h(e10) = e24 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(97,negated_conjecture,
( h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e11) = e23
| h(e11) = e24 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(106,negated_conjecture,
h(op1(e10,e10)) = op2(h(e10),h(e10)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(107,plain,
h(e10) = op2(h(e10),h(e10)),
inference('REWRITE',[status(thm)],[106,46,theory(equality)]) ).
cnf(110,negated_conjecture,
h(op1(e10,e12)) = op2(h(e10),h(e12)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(111,plain,
h(e12) = op2(h(e10),h(e12)),
inference('REWRITE',[status(thm)],[110,48,theory(equality)]) ).
cnf(118,negated_conjecture,
h(op1(e11,e11)) = op2(h(e11),h(e11)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(119,plain,
h(e10) = op2(h(e11),h(e11)),
inference('REWRITE',[status(thm)],[118,52,theory(equality)]) ).
cnf(120,negated_conjecture,
h(op1(e11,e12)) = op2(h(e11),h(e12)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(121,plain,
h(e13) = op2(h(e11),h(e12)),
inference('REWRITE',[status(thm)],[120,53,theory(equality)]) ).
cnf(130,negated_conjecture,
h(op1(e12,e12)) = op2(h(e12),h(e12)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(131,plain,
h(e10) = op2(h(e12),h(e12)),
inference('REWRITE',[status(thm)],[130,58,theory(equality)]) ).
cnf(140,negated_conjecture,
h(op1(e13,e12)) = op2(h(e13),h(e12)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(141,plain,
h(e14) = op2(h(e13),h(e12)),
inference('REWRITE',[status(thm)],[140,63,theory(equality)]) ).
cnf(211,negated_conjecture,
j(h(e10)) = e10,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(215,negated_conjecture,
j(h(e14)) = e14,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(217,plain,
( h(e10) = e20
| h(e10) = e21
| h(e10) = e22
| h(e10) = e23 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[107,96,theory(equality)]),17,95,theory(equality)]) ).
cnf(219,plain,
( h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e11) = e23
| h(e10) = e21 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[119,97,theory(equality)]),95,theory(equality)]) ).
cnf(301,plain,
( h(e10) = e20
| h(e10) = e21
| h(e10) = e22 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[107,217,theory(equality)]),16,89,theory(equality)]) ).
cnf(303,plain,
( h(e10) = e20
| h(e10) = e21 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[107,301,theory(equality)]),15,83,theory(equality)]) ).
cnf(305,plain,
h(e10) = e20,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[107,303,theory(equality)]),15,77,theory(equality)]) ).
cnf(307,plain,
h(e12) = op2(e20,h(e12)),
inference('REWRITE',[status(thm)],[111,305,theory(equality)]) ).
cnf(311,plain,
e20 = op2(h(e11),h(e11)),
inference('REWRITE',[status(thm)],[119,305,theory(equality)]) ).
cnf(313,plain,
e20 = op2(h(e12),h(e12)),
inference('REWRITE',[status(thm)],[131,305,theory(equality)]) ).
cnf(318,plain,
j(e20) = e10,
inference('REWRITE',[status(thm)],[211,305,theory(equality)]) ).
cnf(339,plain,
( h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e11) = e23 ),
inference('REWRITE',[status(thm)],[219,11,305,theory(equality)]) ).
cnf(344,plain,
( h(e11) = e20
| h(e11) = e21
| h(e11) = e22 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[311,339,theory(equality)]),11,89,theory(equality)]) ).
cnf(346,plain,
( h(e11) = e20
| h(e11) = e21 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[311,344,theory(equality)]),11,83,theory(equality)]) ).
cnf(348,plain,
h(e11) = e20,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[311,346,theory(equality)]),12,77,theory(equality)]) ).
cnf(349,plain,
h(e13) = h(e12),
inference('REWRITE',[status(thm)],[121,307,348,theory(equality)]) ).
cnf(351,plain,
h(e14) = e20,
inference('REWRITE',[status(thm)],[141,313,349,theory(equality)]) ).
cnf(352,plain,
$false,
inference('REWRITE',[status(thm)],[215,4,318,351,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10 % Problem : ALG088+1 : TPTP v8.1.0. Released v2.7.0.
% 0.03/0.11 % Command : run-snark %s %d
% 0.11/0.30 % Computer : n032.cluster.edu
% 0.11/0.30 % Model : x86_64 x86_64
% 0.11/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30 % Memory : 8042.1875MB
% 0.11/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30 % CPULimit : 300
% 0.11/0.30 % WCLimit : 600
% 0.11/0.30 % DateTime : Wed Jun 8 01:22:51 EDT 2022
% 0.11/0.31 % CPUTime :
% 0.15/0.39 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.40 *
% 0.15/0.40 *
% 0.15/0.40 #<PACKAGE "SNARK-USER">
% 0.15/0.40 *
% 0.15/0.40 SNARK-TPTP-OPTIONS
% 0.15/0.40 *
% 0.15/0.40 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.15/0.40 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.15/0.40 (USE-FACTORING :POS)
% 0.15/0.40 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.15/0.40 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.15/0.40 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.15/0.40 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.15/0.40 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.15/0.40 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.15/0.40 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.15/0.40 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.15/0.40 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.15/0.40 (DECLARE-TPTP-SYMBOLS2))
% 0.15/0.40 *
% 0.15/0.40 "."
% 0.15/0.40 *
% 0.15/0.40 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-08T01:22:51
% 0.15/0.40 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n032.cluster.edu at 2022-06-08T01:22:51
% 0.15/0.48
% 0.15/0.48
% 0.15/0.48 #||
% 0.15/0.48 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.48 % SZS output start Refutation
% See solution above
% 0.15/0.49 ||#
% 0.15/0.49
% 0.15/0.49 ; Summary of computation:
% 0.15/0.49 ; 635 formulas have been input or derived (from 198 formulas).
% 0.15/0.49 ; 352 (55%) were retained. Of these,
% 0.15/0.49 ; 186 (53%) were simplified or subsumed later,
% 0.15/0.49 ; 166 (47%) are still being kept.
% 0.15/0.49 ;
% 0.15/0.49 ; Run time in seconds excluding printing time:
% 0.15/0.49 ; 0.008 10% Read assertion file (1 call)
% 0.15/0.49 ; 0.006 7% Assert (6 calls)
% 0.15/0.49 ; 0.020 24% Process new row (547 calls)
% 0.15/0.49 ; 0.003 4% Resolution (394 calls)
% 0.15/0.49 ; 0.005 6% Paramodulation (197 calls)
% 0.15/0.49 ; 0.001 1% Factoring (16 calls)
% 0.15/0.49 ; 0.000 0% Condensing (124 calls)
% 0.15/0.49 ; 0.002 2% Forward subsumption (124 calls)
% 0.15/0.49 ; 0.003 4% Backward subsumption (116 calls)
% 0.15/0.49 ; 0.000 0% Clause clause subsumption (72 calls)
% 0.15/0.49 ; 0.008 10% Forward simplification (484 calls)
% 0.15/0.49 ; 0.002 2% Backward simplification (302 calls)
% 0.15/0.49 ; 0.004 5% Ordering (1,817 calls)
% 0.15/0.49 ; 0.000 0% Sortal reasoning (32 calls)
% 0.15/0.49 ; 0.000 0% Purity testing (1 call)
% 0.15/0.49 ; 0.021 25% Other
% 0.15/0.49 ; 0.083 Total
% 0.15/0.49 ; 0.085 Real time
% 0.15/0.49 ;
% 0.15/0.49 ; Term-hash-array has 447 terms in all.
% 0.15/0.49 ; Feature-vector-row-index has 33 entries (91 at peak, 116 added, 83 deleted).
% 0.15/0.49 ; Feature-vector-row-index has 404 nodes (852 at peak, 1,084 added, 680 deleted).
% 0.15/0.49 ; Retrieved 18 possibly forward subsuming rows in 124 calls.
% 0.15/0.49 ; Retrieved 54 possibly backward subsumed rows in 116 calls.
% 0.15/0.49 ; Path-index has 290 entries (405 at peak, 495 added, 205 deleted).
% 0.15/0.49 ; Path-index has 140 nodes (170 at peak, 170 added, 30 deleted).
% 0.15/0.49 ; Trie-index has 290 entries (405 at peak, 495 added, 205 deleted).
% 0.15/0.49 ; Trie-index has 485 nodes (689 at peak, 829 added, 344 deleted).
% 0.15/0.49 ; Retrieved 145 generalization terms in 1,658 calls.
% 0.15/0.49 ; Retrieved 185 instance terms in 185 calls.
% 0.15/0.49 ; Retrieved 168 unifiable terms in 1,213 calls.
% 0.15/0.49 ;
% 0.15/0.49 ; The agenda of backward simplifiable rows to process has 25 entries:
% 0.15/0.49 ; 25 with value 0
% 0.15/0.49 ; The agenda of rows to process has 9 entries:
% 0.15/0.49 ; 2 with value 17 1 with value 18 6 with value 20
% 0.15/0.49 ; The agenda of input rows to give has 2 entries:
% 0.15/0.49 ; 1 with value 6 1 with value 7
% 0.15/0.49 ; The agenda of rows to give has 30 entries:
% 0.15/0.49 ; 1 with value (4 10) 4 with value (4 31) 16 with value (4 35)
% 0.15/0.49 ; 1 with value (4 25) 8 with value (4 34)
% 0.15/0.49 Evaluation took:
% 0.15/0.49 0.086 seconds of real time
% 0.15/0.49 0.077073 seconds of user run time
% 0.15/0.49 0.008923 seconds of system run time
% 0.15/0.49 0 calls to %EVAL
% 0.15/0.49 0 page faults and
% 0.15/0.49 9,131,208 bytes consed.
% 0.15/0.49 :PROOF-FOUND
% 0.15/0.49 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-08T01:22:51
% 0.15/0.49 :PROOF-FOUND
% 0.15/0.49 *
%------------------------------------------------------------------------------