TSTP Solution File: SYN271-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SYN271-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n024.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 21 11:58:52 EDT 2022
% Result : Unsatisfiable 0.47s 0.66s
% Output : Refutation 0.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 26
% Syntax : Number of clauses : 47 ( 27 unt; 0 nHn; 32 RR)
% Number of literals : 81 ( 0 equ; 36 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 20 ( 19 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 67 ( 29 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(axiom_1,axiom,
s0(d),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_1) ).
cnf(axiom_12,axiom,
m0(a,X,a),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_12) ).
cnf(axiom_14,axiom,
p0(b,X),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_14) ).
cnf(axiom_17,axiom,
q0(X,d),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_17) ).
cnf(axiom_19,axiom,
m0(X,d,Y),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_19) ).
cnf(axiom_26,axiom,
n0(d,c),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_26) ).
cnf(axiom_30,axiom,
n0(e,e),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_30) ).
cnf(axiom_36,axiom,
q0(a,b),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_36) ).
cnf(rule_002,axiom,
( l1(X,X)
| ~ n0(Y,X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_002) ).
cnf(rule_085,axiom,
( p1(X,X,X)
| ~ p0(Y,X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_085) ).
cnf(rule_110,axiom,
( q1(X,X,X)
| ~ m0(Y,Z,X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_110) ).
cnf(rule_125,axiom,
( s1(X)
| ~ p0(X,X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_125) ).
cnf(rule_126,axiom,
( s1(X)
| ~ q0(X,Y)
| ~ s1(Z) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_126) ).
cnf(rule_133,axiom,
( l2(X,X)
| ~ p0(Y,Y)
| ~ s1(Z)
| ~ m0(U,Z,X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_133) ).
cnf(rule_135,axiom,
( m2(X)
| ~ s0(X)
| ~ l1(Y,Z) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_135) ).
cnf(rule_154,axiom,
( p2(X,X,X)
| ~ q1(X,X,X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_154) ).
cnf(rule_181,axiom,
( q2(X,X,X)
| ~ p1(X,X,X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_181) ).
cnf(rule_190,axiom,
( s2(d)
| ~ s1(a)
| ~ s0(d) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_190) ).
cnf(249,plain,
( s2(d)
| ~ s1(a) ),
inference('REWRITE',[status(thm)],[rule_190,axiom_1]) ).
cnf(rule_225,axiom,
( m3(X,Y,X)
| ~ m0(Z,Z,Y)
| ~ l2(U,X)
| ~ m0(X,U,U)
| ~ s2(Z) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_225) ).
cnf(rule_240,axiom,
( n3(X)
| ~ p2(Y,Z,X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_240) ).
cnf(rule_255,axiom,
( q3(X,Y)
| ~ q2(Z,X,Y)
| ~ n0(Z,X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_255) ).
cnf(rule_267,axiom,
( r3(X,Y,X)
| ~ p2(X,Z,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_267) ).
cnf(rule_268,axiom,
( r3(X,X,Y)
| ~ m2(Y)
| ~ m3(Z,b,X)
| ~ r3(Y,U,U) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_268) ).
cnf(rule_286,axiom,
( p4(X,X,X)
| ~ q3(Y,Z)
| ~ n3(X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_286) ).
cnf(rule_288,axiom,
( p4(X,Y,Y)
| ~ r3(Y,Y,X)
| ~ p4(Z,Z,U) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_288) ).
cnf(prove_this,negated_conjecture,
~ p4(d,X,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
cnf(391,plain,
s1(b),
inference('HYPERRESOLVE',[status(thm)],[rule_125,axiom_14]) ).
cnf(393,plain,
l1(c,c),
inference('HYPERRESOLVE',[status(thm)],[rule_002,axiom_26]) ).
cnf(418,plain,
p1(X,X,X),
inference('HYPERRESOLVE',[status(thm)],[rule_085,axiom_14]) ).
cnf(420,plain,
q2(X,X,X),
inference('REWRITE',[status(thm)],[rule_181,418]) ).
cnf(445,plain,
q1(X,X,X),
inference('HYPERRESOLVE',[status(thm)],[rule_110,axiom_19]) ).
cnf(447,plain,
p2(X,X,X),
inference('REWRITE',[status(thm)],[rule_154,445]) ).
cnf(450,plain,
n3(X),
inference('HYPERRESOLVE',[status(thm)],[rule_240,447]) ).
cnf(453,plain,
( p4(X,X,X)
| ~ q3(Y,Z) ),
inference('REWRITE',[status(thm)],[rule_286,450]) ).
cnf(458,plain,
r3(X,X,X),
inference('HYPERRESOLVE',[status(thm)],[rule_267,447]) ).
cnf(491,plain,
q3(e,e),
inference('HYPERRESOLVE',[status(thm)],[rule_255,420,axiom_30]) ).
cnf(525,plain,
s1(a),
inference('HYPERRESOLVE',[status(thm)],[rule_126,391,axiom_36]) ).
cnf(526,plain,
s2(d),
inference('REWRITE',[status(thm)],[249,525]) ).
cnf(528,plain,
s1(X),
inference('HYPERRESOLVE',[status(thm)],[rule_126,391,axiom_17]) ).
cnf(531,plain,
( l2(X,X)
| ~ p0(Y,Y)
| ~ m0(Z,U,X) ),
inference('REWRITE',[status(thm)],[rule_133,528]) ).
cnf(543,plain,
l2(X,X),
inference('HYPERRESOLVE',[status(thm)],[531,axiom_14,axiom_19]) ).
cnf(568,plain,
m2(d),
inference('HYPERRESOLVE',[status(thm)],[rule_135,393,axiom_1]) ).
cnf(576,plain,
p4(X,X,X),
inference('HYPERRESOLVE',[status(thm)],[453,491]) ).
cnf(586,plain,
m3(a,X,a),
inference('HYPERRESOLVE',[status(thm)],[rule_225,543,axiom_19,axiom_12,526]) ).
cnf(781,plain,
~ r3(a,a,d),
inference('UR-RESOLVE',[status(thm)],[rule_288,576,prove_this]) ).
cnf(795,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[rule_268,586,568,458]),781]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN271-1 : TPTP v8.1.0. Released v1.1.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n024.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Tue Jul 12 04:32:13 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p 2022-07-12T04:32:13
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n024.cluster.edu at 2022-07-12T04:32:13
% 0.39/0.55 WARNING:
% 0.39/0.55 |m5| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.39/0.55 WARNING:
% 0.39/0.55 |q5| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.39/0.55 WARNING:
% 0.39/0.55 |r5| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.66
% 0.47/0.66
% 0.47/0.66 #||
% 0.47/0.66 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.47/0.66 % SZS output start Refutation
% See solution above
% 0.51/0.67 ||#
% 0.51/0.67
% 0.51/0.67 ; Summary of computation:
% 0.51/0.67 ; 2518 formulas have been input or derived (from 454 formulas).
% 0.51/0.67 ; 795 (32%) were retained. Of these,
% 0.51/0.67 ; 385 (48%) were simplified or subsumed later,
% 0.51/0.67 ; 410 (52%) are still being kept.
% 0.51/0.67 ;
% 0.51/0.67 ; Run time in seconds excluding printing time:
% 0.51/0.67 ; 0.062 32% Read assertion file (1 call)
% 0.51/0.68 ; 0.010 5% Assert (369 calls)
% 0.51/0.68 ; 0.027 14% Process new row (1,970 calls)
% 0.51/0.68 ; 0.025 13% Resolution (906 calls)
% 0.51/0.68 ; 0.003 2% Paramodulation (453 calls)
% 0.51/0.68 ; 0.002 1% Condensing (359 calls)
% 0.51/0.68 ; 0.005 3% Forward subsumption (359 calls)
% 0.51/0.68 ; 0.005 3% Backward subsumption (345 calls)
% 0.51/0.68 ; 0.001 1% Clause clause subsumption (170 calls)
% 0.51/0.68 ; 0.010 5% Forward simplification (1,901 calls)
% 0.51/0.68 ; 0.011 6% Backward simplification (748 calls)
% 0.51/0.68 ; 0.001 1% Sortal reasoning (32 calls)
% 0.51/0.68 ; 0.001 1% Purity testing (1 call)
% 0.51/0.68 ; 0.028 15% Other
% 0.51/0.68 ; 0.191 Total
% 0.51/0.68 ; 0.205 Real time
% 0.51/0.68 ;
% 0.51/0.68 ; Term-hash-array has 801 terms in all.
% 0.51/0.68 ; Feature-vector-row-index has 105 entries (273 at peak, 345 added, 240 deleted).
% 0.51/0.68 ; Feature-vector-row-index has 363 nodes (936 at peak, 1,198 added, 835 deleted).
% 0.51/0.68 ; Retrieved 149 possibly forward subsuming rows in 359 calls.
% 0.51/0.68 ; Retrieved 160 possibly backward subsumed rows in 345 calls.
% 0.51/0.68 ; Path-index has 533 entries (534 at peak, 917 added, 384 deleted).
% 0.51/0.68 ; Path-index has 480 nodes (480 at peak, 644 added, 164 deleted).
% 0.51/0.68 ; Trie-index has 533 entries (534 at peak, 917 added, 384 deleted).
% 0.51/0.68 ; Trie-index has 752 nodes (752 at peak, 1,184 added, 432 deleted).
% 0.51/0.68 ; Retrieved 1,504 generalization terms in 1,994 calls.
% 0.51/0.68 ; Retrieved 810 instance terms in 402 calls.
% 0.51/0.68 ; Retrieved 20,464 unifiable terms in 4,826 calls.
% 0.51/0.68 ;
% 0.51/0.68 ; The agenda of rows to process has 9 entries:
% 0.51/0.68 ; 9 with value 8
% 0.51/0.68 ; The agenda of rows to give has 117 entries:
% 0.51/0.68 ; 67 with value (4 7) 48 with value (4 8) 2 with value (4 9)
% 0.51/0.68 Evaluation took:
% 0.51/0.68 0.205 seconds of real time
% 0.51/0.68 0.190148 seconds of user run time
% 0.51/0.68 0.015114 seconds of system run time
% 0.51/0.68 [Run times include 0.01 seconds GC run time.]
% 0.51/0.68 0 calls to %EVAL
% 0.51/0.68 0 page faults and
% 0.51/0.68 13,732,344 bytes consed.
% 0.51/0.68 :PROOF-FOUND
% 0.51/0.68 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-12T04:32:13
% 0.51/0.68 :PROOF-FOUND
% 0.51/0.68 *
%------------------------------------------------------------------------------