%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : ALG180+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n022.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 18:00:06 EDT 2022
% Result : Theorem 0.43s 0.59s
% Output : Refutation 0.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 31
% Syntax : Number of clauses : 53 ( 43 unt; 10 nHn; 53 RR)
% Number of literals : 79 ( 78 equ; 7 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 : 13 ( 13 usr; 9 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(3,axiom,
e10 != e13,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
cnf(4,axiom,
e10 != e14,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
cnf(6,axiom,
e11 != e13,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
cnf(7,axiom,
e11 != e14,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
cnf(10,axiom,
e13 != 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(46,axiom,
op1(e10,e10) = e13,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
cnf(48,axiom,
op1(e10,e12) = e10,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
cnf(52,axiom,
op1(e11,e11) = e14,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
cnf(57,axiom,
op1(e12,e11) = e13,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
cnf(59,axiom,
op1(e12,e13) = e14,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
cnf(60,axiom,
op1(e12,e14) = e10,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
cnf(64,axiom,
op1(e13,e13) = e10,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
cnf(70,axiom,
op1(e14,e14) = e11,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
cnf(71,axiom,
op2(e20,e20) = e24,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
cnf(72,axiom,
op2(e20,e21) = e22,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
cnf(76,axiom,
op2(e21,e20) = e20,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
cnf(77,axiom,
op2(e21,e21) = e21,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
cnf(95,axiom,
op2(e24,e24) = e20,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
cnf(101,negated_conjecture,
( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| j(e20) = e14 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(102,negated_conjecture,
( j(e21) = e10
| j(e21) = e11
| j(e21) = e12
| j(e21) = e13
| j(e21) = e14 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
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(e10) = op2(h(e10),h(e12)),
inference('REWRITE',[status(thm)],[110,48,theory(equality)]) ).
cnf(142,negated_conjecture,
h(op1(e13,e13)) = op2(h(e13),h(e13)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(143,plain,
h(e10) = op2(h(e13),h(e13)),
inference('REWRITE',[status(thm)],[142,64,theory(equality)]) ).
cnf(156,negated_conjecture,
j(op2(e20,e20)) = op1(j(e20),j(e20)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(157,plain,
j(e24) = op1(j(e20),j(e20)),
inference('REWRITE',[status(thm)],[156,71,theory(equality)]) ).
cnf(166,negated_conjecture,
j(op2(e21,e20)) = op1(j(e21),j(e20)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(167,plain,
j(e20) = op1(j(e21),j(e20)),
inference('REWRITE',[status(thm)],[166,76,theory(equality)]) ).
cnf(168,negated_conjecture,
j(op2(e21,e21)) = op1(j(e21),j(e21)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(169,plain,
j(e21) = op1(j(e21),j(e21)),
inference('REWRITE',[status(thm)],[168,77,theory(equality)]) ).
cnf(206,negated_conjecture,
h(j(e20)) = e20,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(207,negated_conjecture,
h(j(e21)) = e21,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(210,negated_conjecture,
h(j(e24)) = e24,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(213,negated_conjecture,
j(h(e12)) = e12,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(260,plain,
( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| e14 = op1(j(e21),e14) ),
inference('PARAMODULATE',[status(thm)],[167,101,theory(equality)]) ).
cnf(269,plain,
( j(e21) = e10
| j(e21) = e11
| j(e21) = e12
| j(e21) = e13 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[169,102,theory(equality)]),7,70,theory(equality)]) ).
cnf(335,plain,
( j(e21) = e10
| j(e21) = e11
| j(e21) = e12 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[169,269,theory(equality)]),3,64,theory(equality)]) ).
cnf(336,plain,
( j(e21) = e10
| j(e21) = e11
| h(e12) = e21 ),
inference('PARAMODULATE',[status(thm)],[207,335,theory(equality)]) ).
cnf(346,plain,
( j(e21) = e10
| h(e12) = e21 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[169,336,theory(equality)]),7,52,theory(equality)]) ).
cnf(348,plain,
h(e12) = e21,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[169,346,theory(equality)]),3,46,theory(equality)]) ).
cnf(350,plain,
h(e10) = op2(h(e10),e21),
inference('REWRITE',[status(thm)],[111,348,theory(equality)]) ).
cnf(361,plain,
j(e21) = e12,
inference('REWRITE',[status(thm)],[213,348,theory(equality)]) ).
cnf(364,plain,
j(e20) = op1(e12,j(e20)),
inference('REWRITE',[status(thm)],[167,361,theory(equality)]) ).
cnf(374,plain,
( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13 ),
inference('REWRITE',[status(thm)],[260,4,60,361,theory(equality)]) ).
cnf(383,plain,
( j(e20) = e10
| j(e20) = e11
| j(e20) = e12 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[364,374,theory(equality)]),10,59,theory(equality)]) ).
cnf(384,plain,
( j(e20) = e10
| j(e20) = e11 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[206,383,theory(equality)]),11,348,theory(equality)]) ).
cnf(386,plain,
j(e20) = e10,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[364,384,theory(equality)]),6,57,theory(equality)]) ).
cnf(387,plain,
j(e24) = e13,
inference('REWRITE',[status(thm)],[157,46,386,theory(equality)]) ).
cnf(391,plain,
h(e13) = e24,
inference('REWRITE',[status(thm)],[210,387,theory(equality)]) ).
cnf(397,plain,
h(e10) = e20,
inference('REWRITE',[status(thm)],[143,95,391,theory(equality)]) ).
cnf(402,plain,
$false,
inference('REWRITE',[status(thm)],[350,12,72,397,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : ALG180+1 : TPTP v8.1.0. Released v2.7.0.
% 0.06/0.13 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n022.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 : Tue Jun 7 22:12:05 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.18/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.46 *
% 0.18/0.46 *
% 0.18/0.46 #<PACKAGE "SNARK-USER">
% 0.18/0.46 *
% 0.18/0.46 SNARK-TPTP-OPTIONS
% 0.18/0.46 *
% 0.18/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.47 (USE-FACTORING :POS)
% 0.18/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.47 *
% 0.18/0.47 "."
% 0.18/0.47 *
% 0.18/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-07T22:12:05
% 0.18/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n022.cluster.edu at 2022-06-07T22:12:05
% 0.43/0.59
% 0.43/0.59
% 0.43/0.59 #||
% 0.43/0.59 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.43/0.59 % SZS output start Refutation
% See solution above
% 0.43/0.60 ||#
% 0.43/0.60
% 0.43/0.60 ; Summary of computation:
% 0.43/0.60 ; 769 formulas have been input or derived (from 219 formulas).
% 0.43/0.60 ; 402 (52%) were retained. Of these,
% 0.43/0.60 ; 275 (68%) were simplified or subsumed later,
% 0.43/0.60 ; 127 (32%) are still being kept.
% 0.43/0.60 ;
% 0.43/0.60 ; Run time in seconds excluding printing time:
% 0.43/0.60 ; 0.014 11% Read assertion file (1 call)
% 0.43/0.60 ; 0.012 9% Assert (6 calls)
% 0.43/0.60 ; 0.024 19% Process new row (675 calls)
% 0.43/0.60 ; 0.003 2% Resolution (436 calls)
% 0.43/0.60 ; 0.013 10% Paramodulation (218 calls)
% 0.43/0.60 ; 0.001 1% Factoring (37 calls)
% 0.43/0.60 ; 0.000 0% Condensing (190 calls)
% 0.43/0.60 ; 0.004 3% Forward subsumption (190 calls)
% 0.43/0.60 ; 0.006 5% Backward subsumption (154 calls)
% 0.43/0.60 ; 0.000 0% Clause clause subsumption (112 calls)
% 0.43/0.60 ; 0.010 8% Forward simplification (589 calls)
% 0.43/0.60 ; 0.007 5% Backward simplification (352 calls)
% 0.43/0.60 ; 0.004 3% Ordering (2,196 calls)
% 0.43/0.60 ; 0.000 0% Sortal reasoning (32 calls)
% 0.43/0.60 ; 0.000 0% Purity testing (1 call)
% 0.43/0.60 ; 0.030 23% Other
% 0.43/0.60 ; 0.128 Total
% 0.43/0.60 ; 0.132 Real time
% 0.43/0.60 ;
% 0.43/0.60 ; Term-hash-array has 457 terms in all.
% 0.43/0.60 ; Feature-vector-row-index has 4 entries (125 at peak, 154 added, 150 deleted).
% 0.43/0.60 ; Feature-vector-row-index has 35 nodes (1,342 at peak, 1,614 added, 1,579 deleted).
% 0.43/0.60 ; Retrieved 37 possibly forward subsuming rows in 190 calls.
% 0.43/0.60 ; Retrieved 76 possibly backward subsumed rows in 154 calls.
% 0.43/0.60 ; Path-index has 229 entries (441 at peak, 563 added, 334 deleted).
% 0.43/0.60 ; Path-index has 134 nodes (170 at peak, 170 added, 36 deleted).
% 0.43/0.60 ; Trie-index has 229 entries (441 at peak, 563 added, 334 deleted).
% 0.43/0.60 ; Trie-index has 396 nodes (750 at peak, 950 added, 554 deleted).
% 0.43/0.60 ; Retrieved 243 generalization terms in 2,195 calls.
% 0.43/0.60 ; Retrieved 197 instance terms in 197 calls.
% 0.43/0.60 ; Retrieved 189 unifiable terms in 1,358 calls.
% 0.43/0.60 ;
% 0.43/0.60 ; The agenda of backward simplifiable rows to process has 35 entries:
% 0.43/0.60 ; 35 with value 0
% 0.43/0.60 ; The agenda of rows to process has 9 entries:
% 0.43/0.60 ; 3 with value 18 3 with value 19 3 with value 20
% 0.43/0.60 ; The agenda of input rows to give has 12 entries:
% 0.43/0.60 ; 3 with value 6 3 with value 9 6 with value 10
% 0.43/0.60 ; The agenda of rows to give has 5 entries:
% 0.43/0.60 ; 1 with value (4 10) 4 with value (4 25)
% 0.43/0.60 Evaluation took:
% 0.43/0.60 0.133 seconds of real time
% 0.43/0.60 0.116082 seconds of user run time
% 0.43/0.60 0.016217 seconds of system run time
% 0.43/0.60 0 calls to %EVAL
% 0.43/0.60 0 page faults and
% 0.43/0.60 10,548,000 bytes consed.
% 0.43/0.60 :PROOF-FOUND
% 0.43/0.60 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-07T22:12:05
% 0.43/0.60 :PROOF-FOUND
% 0.43/0.60 *
%------------------------------------------------------------------------------