TSTP Solution File: SYN144-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SYN144-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n025.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 11:58:01 EDT 2022
% Result : Unsatisfiable 0.47s 0.64s
% Output : Refutation 0.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 26
% Syntax : Number of clauses : 51 ( 27 unt; 0 nHn; 36 RR)
% Number of literals : 95 ( 0 equ; 47 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 22 ( 21 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 70 ( 27 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(axiom_1,axiom,
s0(d),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_1) ).
cnf(axiom_7,axiom,
n0(d,b),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_7) ).
cnf(axiom_13,axiom,
r0(e),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_13) ).
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_28,axiom,
k0(e),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_28) ).
cnf(axiom_30,axiom,
n0(e,e),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_30) ).
cnf(rule_001,axiom,
( k1(X)
| ~ n0(Y,X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_001) ).
cnf(rule_085,axiom,
( p1(X,X,X)
| ~ p0(Y,X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_085) ).
cnf(rule_107,axiom,
( q1(e,X,X)
| ~ m0(X,d,X)
| ~ m0(e,d,X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_107) ).
cnf(155,plain,
q1(e,X,X),
inference('REWRITE',[status(thm)],[rule_107,axiom_19]) ).
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_124,axiom,
( r1(X)
| ~ q0(X,Y)
| ~ s0(d)
| ~ q1(d,Y,d) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_124) ).
cnf(177,plain,
( r1(X)
| ~ q0(X,Y)
| ~ q1(d,Y,d) ),
inference('REWRITE',[status(thm)],[rule_124,axiom_1]) ).
cnf(rule_129,axiom,
( k2(X,X)
| ~ q1(Y,X,X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_129) ).
cnf(rule_136,axiom,
( m2(b)
| ~ k1(b) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_136) ).
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_187,axiom,
( q2(X,Y,X)
| ~ r1(Y)
| ~ m0(Z,U,X)
| ~ k0(Y)
| ~ q2(Y,Y,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_187) ).
cnf(rule_238,axiom,
( m3(X,X,X)
| ~ p2(X,X,X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_238) ).
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_269,axiom,
( r3(a,a,e)
| ~ k2(a,a)
| ~ q2(X,e,X)
| ~ m2(b)
| ~ m3(a,X,X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_269) ).
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(rule_303,axiom,
( m5(X,Y)
| ~ r0(X)
| ~ p4(X,Z,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_303) ).
cnf(prove_this,negated_conjecture,
~ m5(e,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
cnf(386,plain,
k1(b),
inference('HYPERRESOLVE',[status(thm)],[rule_001,axiom_7]) ).
cnf(387,plain,
m2(b),
inference('REWRITE',[status(thm)],[rule_136,386]) ).
cnf(389,plain,
( r3(a,a,e)
| ~ k2(a,a)
| ~ q2(X,e,X)
| ~ m3(a,X,X) ),
inference('REWRITE',[status(thm)],[rule_269,387]) ).
cnf(422,plain,
p1(X,X,X),
inference('HYPERRESOLVE',[status(thm)],[rule_085,axiom_14]) ).
cnf(424,plain,
q2(X,X,X),
inference('REWRITE',[status(thm)],[rule_181,422]) ).
cnf(425,plain,
( q2(X,Y,X)
| ~ r1(Y)
| ~ m0(Z,U,X)
| ~ k0(Y) ),
inference('REWRITE',[status(thm)],[rule_187,424]) ).
cnf(434,plain,
k2(X,X),
inference('HYPERRESOLVE',[status(thm)],[rule_129,155]) ).
cnf(436,plain,
( r3(a,a,e)
| ~ q2(X,e,X)
| ~ m3(a,X,X) ),
inference('REWRITE',[status(thm)],[389,434]) ).
cnf(449,plain,
q1(X,X,X),
inference('HYPERRESOLVE',[status(thm)],[rule_110,axiom_19]) ).
cnf(451,plain,
p2(X,X,X),
inference('REWRITE',[status(thm)],[rule_154,449]) ).
cnf(452,plain,
m3(X,X,X),
inference('REWRITE',[status(thm)],[rule_238,451]) ).
cnf(454,plain,
n3(X),
inference('HYPERRESOLVE',[status(thm)],[rule_240,451]) ).
cnf(457,plain,
( p4(X,X,X)
| ~ q3(Y,Z) ),
inference('REWRITE',[status(thm)],[rule_286,454]) ).
cnf(480,plain,
~ p4(e,X,a),
inference('UR-RESOLVE',[status(thm)],[rule_303,prove_this,axiom_13]) ).
cnf(496,plain,
q3(e,e),
inference('HYPERRESOLVE',[status(thm)],[rule_255,424,axiom_30]) ).
cnf(581,plain,
p4(X,X,X),
inference('HYPERRESOLVE',[status(thm)],[457,496]) ).
cnf(643,plain,
r1(X),
inference('HYPERRESOLVE',[status(thm)],[177,449,axiom_17]) ).
cnf(644,plain,
( q2(X,Y,X)
| ~ m0(Z,U,X)
| ~ k0(Y) ),
inference('REWRITE',[status(thm)],[425,643]) ).
cnf(658,plain,
q2(X,e,X),
inference('HYPERRESOLVE',[status(thm)],[644,axiom_19,axiom_28]) ).
cnf(659,plain,
( r3(a,a,e)
| ~ m3(a,X,X) ),
inference('REWRITE',[status(thm)],[436,658]) ).
cnf(660,plain,
r3(a,a,e),
inference('HYPERRESOLVE',[status(thm)],[659,452]) ).
cnf(745,plain,
~ p4(X,X,Y),
inference('UR-RESOLVE',[status(thm)],[rule_288,660,480]) ).
cnf(746,plain,
$false,
inference('REWRITE',[status(thm)],[581,745]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SYN144-1 : TPTP v8.1.0. Released v1.1.0.
% 0.06/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n025.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 : Mon Jul 11 15:17:32 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.45 *
% 0.18/0.45 *
% 0.18/0.45 #<PACKAGE "SNARK-USER">
% 0.18/0.45 *
% 0.18/0.45 SNARK-TPTP-OPTIONS
% 0.18/0.45 *
% 0.18/0.45 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.45 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.45 (USE-FACTORING :POS)
% 0.18/0.45 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.45 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.45 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.45 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.45 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.45 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.45 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.45 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.45 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.45 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.45 *
% 0.18/0.45 "."
% 0.18/0.45 *
% 0.18/0.45 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T15:17:32
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n025.cluster.edu at 2022-07-11T15:17:32
% 0.37/0.54 WARNING:
% 0.37/0.54 |q5| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.37/0.54 WARNING:
% 0.37/0.54 |r5| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.64
% 0.47/0.64
% 0.47/0.64 #||
% 0.47/0.64 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.47/0.64 % SZS output start Refutation
% See solution above
% 0.47/0.65 ||#
% 0.47/0.65
% 0.47/0.65 ; Summary of computation:
% 0.47/0.65 ; 2010 formulas have been input or derived (from 410 formulas).
% 0.47/0.65 ; 746 (37%) were retained. Of these,
% 0.47/0.65 ; 373 (50%) were simplified or subsumed later,
% 0.47/0.65 ; 373 (50%) are still being kept.
% 0.47/0.65 ;
% 0.47/0.65 ; Run time in seconds excluding printing time:
% 0.47/0.65 ; 0.062 33% Read assertion file (1 call)
% 0.47/0.65 ; 0.008 4% Assert (369 calls)
% 0.47/0.65 ; 0.031 17% Process new row (1,628 calls)
% 0.47/0.65 ; 0.024 13% Resolution (818 calls)
% 0.47/0.65 ; 0.000 0% Paramodulation (409 calls)
% 0.47/0.65 ; 0.004 2% Condensing (360 calls)
% 0.47/0.65 ; 0.004 2% Forward subsumption (360 calls)
% 0.47/0.65 ; 0.007 4% Backward subsumption (346 calls)
% 0.47/0.65 ; 0.000 0% Clause clause subsumption (170 calls)
% 0.47/0.65 ; 0.008 4% Forward simplification (1,566 calls)
% 0.47/0.65 ; 0.010 5% Backward simplification (699 calls)
% 0.47/0.65 ; 0.000 0% Sortal reasoning (32 calls)
% 0.47/0.65 ; 0.001 1% Purity testing (1 call)
% 0.47/0.65 ; 0.028 15% Other
% 0.47/0.65 ; 0.187 Total
% 0.47/0.65 ; 0.197 Real time
% 0.47/0.65 ;
% 0.47/0.65 ; Term-hash-array has 762 terms in all.
% 0.47/0.65 ; Feature-vector-row-index has 113 entries (277 at peak, 346 added, 233 deleted).
% 0.47/0.65 ; Feature-vector-row-index has 400 nodes (944 at peak, 1,196 added, 796 deleted).
% 0.47/0.65 ; Retrieved 150 possibly forward subsuming rows in 360 calls.
% 0.47/0.65 ; Retrieved 161 possibly backward subsumed rows in 346 calls.
% 0.47/0.65 ; Path-index has 504 entries (532 at peak, 870 added, 366 deleted).
% 0.47/0.65 ; Path-index has 487 nodes (490 at peak, 639 added, 152 deleted).
% 0.47/0.65 ; Trie-index has 504 entries (532 at peak, 870 added, 366 deleted).
% 0.47/0.65 ; Trie-index has 711 nodes (715 at peak, 1,119 added, 408 deleted).
% 0.47/0.65 ; Retrieved 1,154 generalization terms in 1,652 calls.
% 0.47/0.65 ; Retrieved 747 instance terms in 352 calls.
% 0.47/0.65 ; Retrieved 16,461 unifiable terms in 3,786 calls.
% 0.47/0.65 ;
% 0.47/0.65 ; The agenda of backward simplifiable rows to process has 2 entries:
% 0.47/0.65 ; 2 with value 0
% 0.47/0.65 ; The agenda of rows to give has 115 entries:
% 0.47/0.65 ; 20 with value (4 6) 82 with value (4 7) 13 with value (4 8)
% 0.47/0.65 Evaluation took:
% 0.47/0.65 0.197 seconds of real time
% 0.47/0.65 0.177275 seconds of user run time
% 0.47/0.65 0.019896 seconds of system run time
% 0.47/0.65 [Run times include 0.007 seconds GC run time.]
% 0.47/0.65 0 calls to %EVAL
% 0.47/0.65 0 page faults and
% 0.47/0.65 13,337,576 bytes consed.
% 0.47/0.65 :PROOF-FOUND
% 0.47/0.65 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T15:17:32
% 0.47/0.65 :PROOF-FOUND
% 0.47/0.65 *
%------------------------------------------------------------------------------