%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : ALG206+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n026.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 18:00:10 EDT 2022
% Result : Theorem 24.81s 25.05s
% Output : Refutation 24.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 24
% Syntax : Number of clauses : 52 ( 33 unt; 19 nHn; 52 RR)
% Number of literals : 137 ( 136 equ; 2 neg)
% Maximal clause size : 7 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 11 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(23,axiom,
e20 != e22,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
cnf(40,axiom,
e24 != e25,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
cnf(92,axiom,
op1(e10,e10) = e10,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
cnf(100,axiom,
op1(e11,e11) = e11,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
cnf(108,axiom,
op1(e12,e12) = e12,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
cnf(116,axiom,
op1(e13,e13) = e13,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
cnf(124,axiom,
op1(e14,e14) = e14,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
cnf(132,axiom,
op1(e15,e15) = e15,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
cnf(140,axiom,
op1(e16,e16) = e16,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
cnf(141,axiom,
op2(e20,e20) = e22,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
cnf(176,axiom,
op2(e25,e20) = e24,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
cnf(178,axiom,
op2(e25,e22) = e25,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
cnf(197,negated_conjecture,
( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| j(e20) = e14
| j(e20) = e15
| j(e20) = e16 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(204,negated_conjecture,
h(op1(e10,e10)) = op2(h(e10),h(e10)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(205,plain,
h(e10) = op2(h(e10),h(e10)),
inference('REWRITE',[status(thm)],[204,92,theory(equality)]) ).
cnf(220,negated_conjecture,
h(op1(e11,e11)) = op2(h(e11),h(e11)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(221,plain,
h(e11) = op2(h(e11),h(e11)),
inference('REWRITE',[status(thm)],[220,100,theory(equality)]) ).
cnf(236,negated_conjecture,
h(op1(e12,e12)) = op2(h(e12),h(e12)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(237,plain,
h(e12) = op2(h(e12),h(e12)),
inference('REWRITE',[status(thm)],[236,108,theory(equality)]) ).
cnf(252,negated_conjecture,
h(op1(e13,e13)) = op2(h(e13),h(e13)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(253,plain,
h(e13) = op2(h(e13),h(e13)),
inference('REWRITE',[status(thm)],[252,116,theory(equality)]) ).
cnf(268,negated_conjecture,
h(op1(e14,e14)) = op2(h(e14),h(e14)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(269,plain,
h(e14) = op2(h(e14),h(e14)),
inference('REWRITE',[status(thm)],[268,124,theory(equality)]) ).
cnf(302,negated_conjecture,
j(op2(e20,e20)) = op1(j(e20),j(e20)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(303,plain,
j(e22) = op1(j(e20),j(e20)),
inference('REWRITE',[status(thm)],[302,141,theory(equality)]) ).
cnf(372,negated_conjecture,
j(op2(e25,e20)) = op1(j(e25),j(e20)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(373,plain,
j(e24) = op1(j(e25),j(e20)),
inference('REWRITE',[status(thm)],[372,176,theory(equality)]) ).
cnf(376,negated_conjecture,
j(op2(e25,e22)) = op1(j(e25),j(e22)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(377,plain,
j(e25) = op1(j(e25),j(e22)),
inference('REWRITE',[status(thm)],[376,178,theory(equality)]) ).
cnf(400,negated_conjecture,
h(j(e20)) = e20,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(404,negated_conjecture,
h(j(e24)) = e24,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(405,negated_conjecture,
h(j(e25)) = e25,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(429,plain,
( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| j(e20) = e14
| j(e20) = e15
| j(e22) = e16 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[303,197,theory(equality)]),140,theory(equality)]) ).
cnf(433,plain,
( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| j(e20) = e14
| j(e20) = e15
| j(e24) = op1(j(e25),e16) ),
inference('PARAMODULATE',[status(thm)],[373,197,theory(equality)]) ).
cnf(797,plain,
( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| j(e20) = e14
| j(e20) = e15
| j(e25) = op1(j(e25),e16) ),
inference('PARAMODULATE',[status(thm)],[377,429,theory(equality)]) ).
cnf(10293,plain,
( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| j(e20) = e14
| j(e20) = e15
| j(e24) = j(e25) ),
inference('PARAMODULATE',[status(thm)],[433,797,theory(equality)]) ).
cnf(10297,plain,
( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| j(e20) = e14
| j(e20) = e15 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[405,10293,theory(equality)]),40,404,theory(equality)]) ).
cnf(10299,plain,
( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| j(e20) = e14
| j(e22) = e15 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[303,10297,theory(equality)]),132,theory(equality)]) ).
cnf(10303,plain,
( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| j(e20) = e14
| j(e24) = op1(j(e25),e15) ),
inference('PARAMODULATE',[status(thm)],[373,10297,theory(equality)]) ).
cnf(10352,plain,
( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| j(e20) = e14
| j(e25) = op1(j(e25),e15) ),
inference('PARAMODULATE',[status(thm)],[377,10299,theory(equality)]) ).
cnf(12065,plain,
( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| j(e20) = e14
| j(e24) = j(e25) ),
inference('PARAMODULATE',[status(thm)],[10303,10352,theory(equality)]) ).
cnf(12066,plain,
( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| j(e20) = e14 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[405,12065,theory(equality)]),40,404,theory(equality)]) ).
cnf(12067,plain,
( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| h(e14) = e20 ),
inference('PARAMODULATE',[status(thm)],[400,12066,theory(equality)]) ).
cnf(12093,plain,
( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| h(e14) = e20
| h(e13) = e20 ),
inference('PARAMODULATE',[status(thm)],[400,12067,theory(equality)]) ).
cnf(12143,plain,
( j(e20) = e10
| j(e20) = e11
| h(e14) = e20
| h(e13) = e20
| h(e12) = e20 ),
inference('PARAMODULATE',[status(thm)],[400,12093,theory(equality)]) ).
cnf(12233,plain,
( j(e20) = e10
| h(e14) = e20
| h(e13) = e20
| h(e12) = e20
| h(e11) = e20 ),
inference('PARAMODULATE',[status(thm)],[400,12143,theory(equality)]) ).
cnf(12419,plain,
( h(e14) = e20
| h(e13) = e20
| h(e12) = e20
| h(e11) = e20
| h(e10) = e20 ),
inference('PARAMODULATE',[status(thm)],[400,12233,theory(equality)]) ).
cnf(12940,plain,
( h(e13) = e20
| h(e12) = e20
| h(e11) = e20
| h(e10) = e20 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[269,12419,theory(equality)]),23,141,theory(equality)]) ).
cnf(12942,plain,
( h(e12) = e20
| h(e11) = e20
| h(e10) = e20 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[253,12940,theory(equality)]),23,141,theory(equality)]) ).
cnf(12944,plain,
( h(e11) = e20
| h(e10) = e20 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[237,12942,theory(equality)]),23,141,theory(equality)]) ).
cnf(12946,plain,
h(e10) = e20,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[221,12944,theory(equality)]),23,141,theory(equality)]) ).
cnf(12947,plain,
$false,
inference('REWRITE',[status(thm)],[205,23,141,12946,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : ALG206+1 : TPTP v8.1.0. Released v2.7.0.
% 0.11/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n026.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 : Wed Jun 8 15:59:32 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 2022-06-08T15:59:32
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-06-08T15:59:32
% 24.81/25.05
% 24.81/25.05
% 24.81/25.05 #||
% 24.81/25.05 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 24.81/25.05 % SZS output start Refutation
% See solution above
% 24.81/25.07 ||#
% 24.81/25.07
% 24.81/25.07 ; Summary of computation:
% 24.81/25.07 ; 47581 formulas have been input or derived (from 1171 formulas).
% 24.81/25.07 ; 12947 (27%) were retained. Of these,
% 24.81/25.07 ; 4483 (35%) were simplified or subsumed later,
% 24.81/25.07 ; 8464 (65%) are still being kept.
% 24.81/25.07 ;
% 24.81/25.07 ; Run time in seconds excluding printing time:
% 24.81/25.07 ; 0.025 0% Read assertion file (1 call)
% 24.81/25.07 ; 0.031 0% Assert (6 calls)
% 24.81/25.07 ; 1.762 7% Process new row (46,555 calls)
% 24.81/25.07 ; 0.030 0% Resolution (2,340 calls)
% 24.81/25.07 ; 2.281 9% Paramodulation (1,170 calls)
% 24.81/25.07 ; 0.015 0% Factoring (869 calls)
% 24.81/25.07 ; 0.080 0% Condensing (33,550 calls)
% 24.81/25.07 ; 11.082 45% Forward subsumption (33,550 calls)
% 24.81/25.07 ; 1.896 8% Backward subsumption (12,546 calls)
% 24.81/25.07 ; 1.191 5% Clause clause subsumption (77,124 calls)
% 24.81/25.07 ; 4.782 19% Forward simplification (46,022 calls)
% 24.81/25.07 ; 0.065 0% Backward simplification (12,849 calls)
% 24.81/25.07 ; 1.155 5% Ordering (977,368 calls)
% 24.81/25.07 ; 0.001 0% Sortal reasoning (32 calls)
% 24.81/25.07 ; 0.000 0% Purity testing (1 call)
% 24.81/25.07 ; 0.192 1% Other
% 24.81/25.07 ; 24.588 Total
% 24.81/25.07 ; 24.608 Real time
% 24.81/25.07 ;
% 24.81/25.07 ; Term-hash-array has 1,368 terms in all.
% 24.81/25.07 ; Feature-vector-row-index has 8,181 entries (9,265 at peak, 12,546 added, 4,365 deleted).
% 24.81/25.07 ; Feature-vector-row-index has 61,968 nodes (69,123 at peak, 95,899 added, 33,931 deleted).
% 24.81/25.07 ; Retrieved 233,565 possibly forward subsuming rows in 33,550 calls.
% 24.81/25.07 ; Retrieved 27,937 possibly backward subsumed rows in 12,546 calls.
% 24.81/25.07 ; Path-index has 1,260 entries (1,368 at peak, 1,515 added, 255 deleted).
% 24.81/25.07 ; Path-index has 220 nodes (226 at peak, 226 added, 6 deleted).
% 24.81/25.07 ; Trie-index has 1,260 entries (1,368 at peak, 1,515 added, 255 deleted).
% 24.81/25.07 ; Trie-index has 1,836 nodes (1,994 at peak, 2,151 added, 315 deleted).
% 24.81/25.07 ; Retrieved 72,032 generalization terms in 718,420 calls.
% 24.81/25.07 ; Retrieved 302 instance terms in 302 calls.
% 24.81/25.07 ; Retrieved 1,409 unifiable terms in 6,874 calls.
% 24.81/25.07 ;
% 24.81/25.07 ; The agenda of backward simplifiable rows to process has 359 entries:
% 24.81/25.07 ; 359 with value 0
% 24.81/25.07 ; The agenda of rows to process has 25 entries:
% 24.81/25.07 ; 12 with value 33 2 with value 49 10 with value 55
% 24.81/25.07 ; 1 with value 43
% 24.81/25.07 ; The agenda of rows to give has 7566 entries:
% 24.81/25.07 ; 1 with value (4 23) 4 with value (4 58) 49 with value (4 73)
% 24.81/25.07 ; 28 with value (4 43) 20 with value (4 59) 6 with value (4 74)
% 24.81/25.07 ; 28 with value (4 44) 33 with value (4 60) 33 with value (4 75)
% 24.81/25.07 ; 56 with value (4 45) 24 with value (4 61) 78 with value (4 76)
% 24.81/25.07 ; 110 with value (4 46) 3 with value (4 62) 177 with value (4 77)
% 24.81/25.07 ; 162 with value (4 47) 6 with value (4 63) 358 with value (4 78)
% 24.81/25.07 ; 493 with value (4 48) 15 with value (4 64) 25 with value (4 79)
% 24.81/25.07 ; 320 with value (4 49) 121 with value (4 65) 29 with value (4 80)
% 24.81/25.07 ; 624 with value (4 50) 206 with value (4 66) 82 with value (4 81)
% 24.81/25.07 ; 1226 with value (4 51) 21 with value (4 67) 52 with value (4 82)
% 24.81/25.07 ; 1737 with value (4 52) 32 with value (4 70) 100 with value (4 83)
% 24.81/25.07 ; 1 with value (4 53) 517 with value (4 71) 265 with value (4 84)
% 24.81/25.07 ; 4 with value (4 55) 520 with value (4 72)
% 24.81/25.07 Evaluation took:
% 24.81/25.07 24.612 seconds of real time
% 24.81/25.07 22.924528 seconds of user run time
% 24.81/25.07 1.68809 seconds of system run time
% 24.81/25.07 [Run times include 1.84 seconds GC run time.]
% 24.81/25.07 0 calls to %EVAL
% 24.81/25.07 0 page faults and
% 24.81/25.07 2,447,649,008 bytes consed.
% 24.81/25.07 :PROOF-FOUND
% 24.81/25.07 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-08T15:59:57
% 24.81/25.07 :PROOF-FOUND
% 24.81/25.07 *
%------------------------------------------------------------------------------