TSTP Solution File: SWV092+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SWV092+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n009.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 : Wed Jul 20 21:31:47 EDT 2022
% Result : Theorem 31.25s 31.48s
% Output : Refutation 31.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 36
% Syntax : Number of clauses : 44 ( 39 unt; 0 nHn; 42 RR)
% Number of literals : 102 ( 87 equ; 59 neg)
% Maximal clause size : 28 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 15 con; 0-3 aty)
% Number of variables : 8 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(3,axiom,
~ gt(X,X),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',irreflexivity_gt) ).
cnf(15,axiom,
( ~ leq(X,Y)
| leq(X,succ(Y)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',leq_succ) ).
cnf(16,axiom,
( ~ leq(X,Y)
| gt(succ(Y),X) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',leq_succ_gt_equiv) ).
cnf(225,axiom,
succ(tptp_minus_1) = n0,
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',succ_tptp_minus_1) ).
cnf(236,axiom,
minus(X,n1) = pred(X),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',pred_minus_1) ).
cnf(237,axiom,
pred(succ(X)) = X,
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',pred_succ) ).
cnf(256,negated_conjecture,
a_select2(rho_defuse,n0) = use,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quaternion_ds1_inuse_0004) ).
cnf(257,negated_conjecture,
a_select2(rho_defuse,n1) = use,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quaternion_ds1_inuse_0004) ).
cnf(258,negated_conjecture,
a_select2(rho_defuse,n2) = use,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quaternion_ds1_inuse_0004) ).
cnf(259,negated_conjecture,
a_select2(sigma_defuse,n0) = use,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quaternion_ds1_inuse_0004) ).
cnf(260,negated_conjecture,
a_select2(sigma_defuse,n1) = use,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quaternion_ds1_inuse_0004) ).
cnf(261,negated_conjecture,
a_select2(sigma_defuse,n2) = use,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quaternion_ds1_inuse_0004) ).
cnf(262,negated_conjecture,
a_select2(sigma_defuse,n3) = use,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quaternion_ds1_inuse_0004) ).
cnf(263,negated_conjecture,
a_select2(sigma_defuse,n4) = use,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quaternion_ds1_inuse_0004) ).
cnf(264,negated_conjecture,
a_select2(sigma_defuse,n5) = use,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quaternion_ds1_inuse_0004) ).
cnf(265,negated_conjecture,
a_select3(u_defuse,n0,n0) = use,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quaternion_ds1_inuse_0004) ).
cnf(266,negated_conjecture,
a_select3(u_defuse,n1,n0) = use,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quaternion_ds1_inuse_0004) ).
cnf(267,negated_conjecture,
a_select3(u_defuse,n2,n0) = use,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quaternion_ds1_inuse_0004) ).
cnf(268,negated_conjecture,
a_select2(xinit_defuse,n3) = use,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quaternion_ds1_inuse_0004) ).
cnf(269,negated_conjecture,
a_select2(xinit_defuse,n4) = use,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quaternion_ds1_inuse_0004) ).
cnf(270,negated_conjecture,
a_select2(xinit_defuse,n5) = use,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quaternion_ds1_inuse_0004) ).
cnf(271,negated_conjecture,
a_select2(xinit_mean_defuse,n0) = use,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quaternion_ds1_inuse_0004) ).
cnf(272,negated_conjecture,
a_select2(xinit_mean_defuse,n1) = use,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quaternion_ds1_inuse_0004) ).
cnf(273,negated_conjecture,
a_select2(xinit_mean_defuse,n2) = use,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quaternion_ds1_inuse_0004) ).
cnf(274,negated_conjecture,
a_select2(xinit_mean_defuse,n3) = use,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quaternion_ds1_inuse_0004) ).
cnf(275,negated_conjecture,
a_select2(xinit_mean_defuse,n4) = use,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quaternion_ds1_inuse_0004) ).
cnf(276,negated_conjecture,
a_select2(xinit_mean_defuse,n5) = use,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quaternion_ds1_inuse_0004) ).
cnf(277,negated_conjecture,
a_select2(xinit_noise_defuse,n0) = use,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quaternion_ds1_inuse_0004) ).
cnf(278,negated_conjecture,
a_select2(xinit_noise_defuse,n1) = use,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quaternion_ds1_inuse_0004) ).
cnf(279,negated_conjecture,
a_select2(xinit_noise_defuse,n2) = use,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quaternion_ds1_inuse_0004) ).
cnf(280,negated_conjecture,
a_select2(xinit_noise_defuse,n3) = use,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quaternion_ds1_inuse_0004) ).
cnf(281,negated_conjecture,
a_select2(xinit_noise_defuse,n4) = use,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quaternion_ds1_inuse_0004) ).
cnf(282,negated_conjecture,
a_select2(xinit_noise_defuse,n5) = use,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quaternion_ds1_inuse_0004) ).
cnf(285,negated_conjecture,
( a_select2(rho_defuse,n0) != use
| a_select2(rho_defuse,n1) != use
| a_select2(rho_defuse,n2) != use
| a_select2(sigma_defuse,n0) != use
| a_select2(sigma_defuse,n1) != use
| a_select2(sigma_defuse,n2) != use
| a_select2(sigma_defuse,n3) != use
| a_select2(sigma_defuse,n4) != use
| a_select2(sigma_defuse,n5) != use
| a_select3(u_defuse,n0,n0) != use
| a_select3(u_defuse,n1,n0) != use
| a_select3(u_defuse,n2,n0) != use
| a_select2(xinit_defuse,n3) != use
| a_select2(xinit_defuse,n4) != use
| a_select2(xinit_defuse,n5) != use
| a_select2(xinit_mean_defuse,n0) != use
| a_select2(xinit_mean_defuse,n1) != use
| a_select2(xinit_mean_defuse,n2) != use
| a_select2(xinit_mean_defuse,n3) != use
| a_select2(xinit_mean_defuse,n4) != use
| a_select2(xinit_mean_defuse,n5) != use
| a_select2(xinit_noise_defuse,n0) != use
| a_select2(xinit_noise_defuse,n1) != use
| a_select2(xinit_noise_defuse,n2) != use
| a_select2(xinit_noise_defuse,n3) != use
| a_select2(xinit_noise_defuse,n4) != use
| a_select2(xinit_noise_defuse,n5) != use
| leq(n0,'SKOLEMAAAV29') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quaternion_ds1_inuse_0004) ).
cnf(286,plain,
leq(n0,'SKOLEMAAAV29'),
inference('REWRITE',[status(thm)],[285,282,281,280,279,278,277,276,275,274,273,272,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,theory(equality)]) ).
cnf(289,negated_conjecture,
( a_select2(rho_defuse,n0) != use
| a_select2(rho_defuse,n1) != use
| a_select2(rho_defuse,n2) != use
| a_select2(sigma_defuse,n0) != use
| a_select2(sigma_defuse,n1) != use
| a_select2(sigma_defuse,n2) != use
| a_select2(sigma_defuse,n3) != use
| a_select2(sigma_defuse,n4) != use
| a_select2(sigma_defuse,n5) != use
| a_select3(u_defuse,n0,n0) != use
| a_select3(u_defuse,n1,n0) != use
| a_select3(u_defuse,n2,n0) != use
| a_select2(xinit_defuse,n3) != use
| a_select2(xinit_defuse,n4) != use
| a_select2(xinit_defuse,n5) != use
| a_select2(xinit_mean_defuse,n0) != use
| a_select2(xinit_mean_defuse,n1) != use
| a_select2(xinit_mean_defuse,n2) != use
| a_select2(xinit_mean_defuse,n3) != use
| a_select2(xinit_mean_defuse,n4) != use
| a_select2(xinit_mean_defuse,n5) != use
| a_select2(xinit_noise_defuse,n0) != use
| a_select2(xinit_noise_defuse,n1) != use
| a_select2(xinit_noise_defuse,n2) != use
| a_select2(xinit_noise_defuse,n3) != use
| a_select2(xinit_noise_defuse,n4) != use
| a_select2(xinit_noise_defuse,n5) != use
| leq('SKOLEMAAAV29',minus(n0,n1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quaternion_ds1_inuse_0004) ).
cnf(290,plain,
leq('SKOLEMAAAV29',pred(n0)),
inference('REWRITE',[status(thm)],[289,236,282,281,280,279,278,277,276,275,274,273,272,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,theory(equality)]) ).
cnf(316,axiom,
( ~ leq(n0,X)
| ~ leq(X,n0)
| X = n0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',finite_domain_0) ).
cnf(383,plain,
pred(n0) = tptp_minus_1,
inference('PARAMODULATE',[status(thm)],[237,225,theory(equality)]) ).
cnf(384,plain,
leq('SKOLEMAAAV29',tptp_minus_1),
inference('REWRITE',[status(thm)],[290,383,theory(equality)]) ).
cnf(392,plain,
leq('SKOLEMAAAV29',n0),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[15,384]),225,theory(equality)]) ).
cnf(396,plain,
gt(n0,'SKOLEMAAAV29'),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[16,384]),225,theory(equality)]) ).
cnf(20186,plain,
n0 = 'SKOLEMAAAV29',
inference('HYPERRESOLVE',[status(thm)],[316,392,286]) ).
cnf(20189,plain,
$false,
inference('REWRITE',[status(thm)],[396,3,20186,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWV092+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.06/0.12 % Command : run-snark %s %d
% 0.13/0.33 % Computer : n009.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Tue Jun 14 20:39:53 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 0.19/0.47 SNARK-TPTP-OPTIONS
% 0.19/0.47 *
% 0.19/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47 (USE-FACTORING :POS)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47 *
% 0.19/0.47 "."
% 0.19/0.47 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-14T20:39:53
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n009.cluster.edu at 2022-06-14T20:39:53
% 0.36/0.52 WARNING:
% 0.36/0.52 #:|true| is a proposition that occurs only positively; disabling rows that contain it.
% 31.25/31.48
% 31.25/31.48
% 31.25/31.48 #||
% 31.25/31.48 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 31.25/31.48 % SZS output start Refutation
% See solution above
% 31.25/31.49 ||#
% 31.25/31.49
% 31.25/31.49 ; Summary of computation:
% 31.25/31.49 ; 58428 formulas have been input or derived (from 370 formulas).
% 31.25/31.49 ; 20189 (35%) were retained. Of these,
% 31.25/31.49 ; 3099 (15%) were simplified or subsumed later,
% 31.25/31.49 ; 17090 (85%) are still being kept.
% 31.25/31.49 ;
% 31.25/31.49 ; Run time in seconds excluding printing time:
% 31.25/31.49 ; 0.024 0% Read assertion file (1 call)
% 31.25/31.49 ; 0.020 0% Assert (85 calls)
% 31.25/31.49 ; 1.644 5% Process new row (49,337 calls)
% 31.25/31.49 ; 23.289 75% Resolution (738 calls)
% 31.25/31.49 ; 0.073 0% Paramodulation (369 calls)
% 31.25/31.49 ; 0.000 0% Factoring (1 call)
% 31.25/31.49 ; 0.238 1% Condensing (17,659 calls)
% 31.25/31.49 ; 2.795 9% Forward subsumption (17,659 calls)
% 31.25/31.49 ; 0.529 2% Backward subsumption (9,013 calls)
% 31.25/31.49 ; 0.129 0% Clause clause subsumption (19,439 calls)
% 31.25/31.49 ; 1.141 4% Forward simplification (49,336 calls)
% 31.25/31.49 ; 0.833 3% Backward simplification (20,180 calls)
% 31.25/31.49 ; 0.102 0% Ordering (92,871 calls)
% 31.25/31.49 ; 0.000 0% Sortal reasoning (32 calls)
% 31.25/31.49 ; 0.002 0% Purity testing (1 call)
% 31.25/31.49 ; 0.191 1% Other
% 31.25/31.49 ; 31.010 Total
% 31.25/31.49 ; 31.019 Real time
% 31.25/31.49 ;
% 31.25/31.49 ; Term-hash-array has 27,440 terms in all.
% 31.25/31.49 ; Feature-vector-row-index has 8,310 entries (9,012 at peak, 9,013 added, 703 deleted).
% 31.25/31.49 ; Feature-vector-row-index has 42,891 nodes (43,797 at peak, 43,813 added, 922 deleted).
% 31.25/31.49 ; Retrieved 24,746 possibly forward subsuming rows in 17,659 calls.
% 31.25/31.49 ; Retrieved 4,166 possibly backward subsumed rows in 9,013 calls.
% 31.25/31.49 ; Path-index has 21,407 entries (27,448 at peak, 27,460 added, 6,053 deleted).
% 31.25/31.49 ; Path-index has 2,442 nodes (2,599 at peak, 2,611 added, 169 deleted).
% 31.25/31.49 ; Trie-index has 21,407 entries (27,448 at peak, 27,460 added, 6,053 deleted).
% 31.25/31.49 ; Trie-index has 45,456 nodes (61,499 at peak, 61,528 added, 16,072 deleted).
% 31.25/31.49 ; Retrieved 98,419 generalization terms in 165,281 calls.
% 31.25/31.49 ; Retrieved 22,467 instance terms in 11,166 calls.
% 31.25/31.49 ; Retrieved 45,833,852 unifiable terms in 185,985 calls.
% 31.25/31.49 ;
% 31.25/31.49 ; The agenda of backward simplifiable rows to process has 2954 entries:
% 31.25/31.49 ; 2954 with value 0
% 31.25/31.49 ; The agenda of rows to process has 5324 entries:
% 31.25/31.49 ; 12 with value 6 4560 with value 19 44 with value 29
% 31.25/31.49 ; 4 with value 8 2 with value 21 128 with value 32
% 31.25/31.49 ; 1 with value 9 32 with value 23 32 with value 33
% 31.25/31.49 ; 1 with value 10 232 with value 24 256 with value 79
% 31.25/31.49 ; 20 with value 15
% 31.25/31.49 ; The agenda of input rows to give has 1 entry:
% 31.25/31.49 ; 1 with value 16
% 31.25/31.49 ; The agenda of rows to give has 16726 entries:
% 31.25/31.49 ; 24 with value (4 5) 24 with value (4 16) 3 with value (4 26)
% 31.25/31.49 ; 27 with value (4 6) 4 with value (4 17) 8 with value (4 28)
% 31.25/31.49 ; 22 with value (4 7) 40 with value (4 18) 864 with value (4 29)
% 31.25/31.49 ; 11 with value (4 8) 8428 with value (4 19) 33 with value (4 31)
% 31.25/31.49 ; 25 with value (4 9) 29 with value (4 20) 1352 with value (4 32)
% 31.25/31.49 ; 13 with value (4 11) 34 with value (4 21) 240 with value (4 33)
% 31.25/31.49 ; 47 with value (4 13) 8 with value (4 22) 64 with value (4 78)
% 31.25/31.49 ; 8 with value (4 14) 385 with value (4 23) 2688 with value (4 79)
% 31.25/31.49 ; 88 with value (4 15) 2257 with value (4 24)
% 31.25/31.49 Evaluation took:
% 31.25/31.49 31.024 seconds of real time
% 31.25/31.49 30.371525 seconds of user run time
% 31.25/31.49 0.647138 seconds of system run time
% 31.25/31.49 [Run times include 1.564 seconds GC run time.]
% 31.25/31.49 0 calls to %EVAL
% 31.25/31.49 0 page faults and
% 31.25/31.49 1,309,111,408 bytes consed.
% 31.25/31.49 :PROOF-FOUND
% 31.25/31.49 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-14T20:40:24
% 31.25/31.49 :PROOF-FOUND
% 31.25/31.49 *
%------------------------------------------------------------------------------