TSTP Solution File: SYN163-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SYN163-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n007.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 11:58:08 EDT 2022
% Result : Unsatisfiable 0.49s 0.66s
% Output : Refutation 0.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 31
% Syntax : Number of clauses : 63 ( 33 unt; 0 nHn; 42 RR)
% Number of literals : 120 ( 0 equ; 58 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 25 ( 24 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 92 ( 35 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(axiom_1,axiom,
s0(d),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_1) ).
cnf(axiom_11,axiom,
n0(e,b),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_11) ).
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(axiom_32,axiom,
k0(b),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_32) ).
cnf(axiom_34,axiom,
n0(c,d),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_34) ).
cnf(rule_059,axiom,
( n1(X,X,Y)
| ~ m0(Z,U,U)
| ~ m0(Y,Z,X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_059) ).
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_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_125,axiom,
( s1(X)
| ~ p0(X,X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_125) ).
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_189,axiom,
( s2(X)
| ~ q2(b,X,b)
| ~ s1(b) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_189) ).
cnf(rule_205,axiom,
( k3(X,X,X)
| ~ p2(Y,X,X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_205) ).
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_257,axiom,
( q3(X,Y)
| ~ n1(Z,X,Y)
| ~ s2(X)
| ~ q3(Y,X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_257) ).
cnf(rule_274,axiom,
( k4(c)
| ~ n0(c,d)
| ~ q3(e,b)
| ~ n3(e) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_274) ).
cnf(334,plain,
( k4(c)
| ~ q3(e,b)
| ~ n3(e) ),
inference('REWRITE',[status(thm)],[rule_274,axiom_34]) ).
cnf(rule_284,axiom,
( n4(X,X)
| ~ k4(Y)
| ~ m3(X,X,X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_284) ).
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_295,axiom,
( q4(X,Y)
| ~ k3(Z,Z,X)
| ~ q2(U,Y,X)
| ~ m3(U,V,U) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_295) ).
cnf(rule_298,axiom,
( r4(X)
| ~ n3(X)
| ~ q3(Y,Z)
| ~ p0(U,X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_298) ).
cnf(rule_307,axiom,
( n5(X,Y)
| ~ q4(Z,U)
| ~ n4(X,U)
| ~ p4(V,V,Y)
| ~ n5(V,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_307) ).
cnf(rule_314,axiom,
( n5(X,X)
| ~ r4(X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_314) ).
cnf(prove_this,negated_conjecture,
~ n5(e,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
cnf(391,plain,
s1(b),
inference('HYPERRESOLVE',[status(thm)],[rule_125,axiom_14]) ).
cnf(392,plain,
( s2(X)
| ~ q2(b,X,b) ),
inference('REWRITE',[status(thm)],[rule_189,391]) ).
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(421,plain,
( q2(X,Y,X)
| ~ r1(Y)
| ~ m0(Z,U,X)
| ~ k0(Y) ),
inference('REWRITE',[status(thm)],[rule_187,420]) ).
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(448,plain,
m3(X,X,X),
inference('REWRITE',[status(thm)],[rule_238,447]) ).
cnf(449,plain,
( n4(X,X)
| ~ k4(Y) ),
inference('REWRITE',[status(thm)],[rule_284,448]) ).
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(454,plain,
( r4(X)
| ~ q3(Y,Z)
| ~ p0(U,X) ),
inference('REWRITE',[status(thm)],[rule_298,450]) ).
cnf(455,plain,
( k4(c)
| ~ q3(e,b) ),
inference('REWRITE',[status(thm)],[334,450]) ).
cnf(457,plain,
k3(X,X,X),
inference('HYPERRESOLVE',[status(thm)],[rule_205,447]) ).
cnf(491,plain,
q3(e,e),
inference('HYPERRESOLVE',[status(thm)],[rule_255,420,axiom_30]) ).
cnf(498,plain,
n1(X,X,Y),
inference('HYPERRESOLVE',[status(thm)],[rule_059,axiom_19,axiom_19]) ).
cnf(573,plain,
r4(X),
inference('HYPERRESOLVE',[status(thm)],[454,491,axiom_14]) ).
cnf(575,plain,
n5(X,X),
inference('REWRITE',[status(thm)],[rule_314,573]) ).
cnf(576,plain,
p4(X,X,X),
inference('HYPERRESOLVE',[status(thm)],[453,491]) ).
cnf(638,plain,
r1(X),
inference('HYPERRESOLVE',[status(thm)],[177,445,axiom_17]) ).
cnf(639,plain,
( q2(X,Y,X)
| ~ m0(Z,U,X)
| ~ k0(Y) ),
inference('REWRITE',[status(thm)],[421,638]) ).
cnf(652,plain,
q2(X,b,X),
inference('HYPERRESOLVE',[status(thm)],[639,axiom_19,axiom_32]) ).
cnf(653,plain,
q2(X,e,X),
inference('HYPERRESOLVE',[status(thm)],[639,axiom_19,axiom_28]) ).
cnf(660,plain,
q4(X,X),
inference('HYPERRESOLVE',[status(thm)],[rule_295,457,420,448]) ).
cnf(726,plain,
q3(b,e),
inference('HYPERRESOLVE',[status(thm)],[rule_255,652,axiom_11]) ).
cnf(729,plain,
s2(e),
inference('HYPERRESOLVE',[status(thm)],[392,653]) ).
cnf(764,plain,
q3(e,b),
inference('HYPERRESOLVE',[status(thm)],[rule_257,726,498,729]) ).
cnf(765,plain,
k4(c),
inference('REWRITE',[status(thm)],[455,764]) ).
cnf(766,plain,
n4(X,X),
inference('HYPERRESOLVE',[status(thm)],[449,765]) ).
cnf(768,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[rule_307,766,prove_this,660,575]),576]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SYN163-1 : TPTP v8.1.0. Released v1.1.0.
% 0.04/0.13 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n007.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 Jul 12 03:45:33 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 2022-07-12T03:45:33
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n007.cluster.edu at 2022-07-12T03:45:33
% 0.19/0.55 WARNING:
% 0.19/0.55 |m5| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.19/0.55 WARNING:
% 0.19/0.55 |q5| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.19/0.55 WARNING:
% 0.19/0.55 |r5| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.49/0.66
% 0.49/0.66
% 0.49/0.66 #||
% 0.49/0.66 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.49/0.66 % SZS output start Refutation
% See solution above
% 0.49/0.67 ||#
% 0.49/0.67
% 0.49/0.67 ; Summary of computation:
% 0.49/0.67 ; 2225 formulas have been input or derived (from 426 formulas).
% 0.49/0.67 ; 768 (35%) were retained. Of these,
% 0.49/0.67 ; 376 (49%) were simplified or subsumed later,
% 0.49/0.67 ; 392 (51%) are still being kept.
% 0.49/0.67 ;
% 0.49/0.67 ; Run time in seconds excluding printing time:
% 0.49/0.67 ; 0.061 32% Read assertion file (1 call)
% 0.49/0.67 ; 0.008 4% Assert (369 calls)
% 0.49/0.67 ; 0.030 16% Process new row (1,773 calls)
% 0.49/0.67 ; 0.025 13% Resolution (850 calls)
% 0.49/0.67 ; 0.003 2% Paramodulation (425 calls)
% 0.49/0.67 ; 0.006 3% Condensing (358 calls)
% 0.49/0.67 ; 0.006 3% Forward subsumption (358 calls)
% 0.49/0.67 ; 0.004 2% Backward subsumption (344 calls)
% 0.49/0.67 ; 0.001 1% Clause clause subsumption (170 calls)
% 0.49/0.67 ; 0.003 2% Forward simplification (1,707 calls)
% 0.49/0.67 ; 0.007 4% Backward simplification (721 calls)
% 0.49/0.67 ; 0.002 1% Sortal reasoning (32 calls)
% 0.49/0.67 ; 0.001 1% Purity testing (1 call)
% 0.49/0.67 ; 0.031 16% Other
% 0.49/0.67 ; 0.188 Total
% 0.49/0.67 ; 0.202 Real time
% 0.49/0.67 ;
% 0.49/0.67 ; Term-hash-array has 777 terms in all.
% 0.49/0.67 ; Feature-vector-row-index has 108 entries (273 at peak, 344 added, 236 deleted).
% 0.49/0.67 ; Feature-vector-row-index has 384 nodes (936 at peak, 1,193 added, 809 deleted).
% 0.49/0.67 ; Retrieved 149 possibly forward subsuming rows in 358 calls.
% 0.49/0.67 ; Retrieved 160 possibly backward subsumed rows in 344 calls.
% 0.49/0.67 ; Path-index has 524 entries (528 at peak, 891 added, 367 deleted).
% 0.49/0.67 ; Path-index has 476 nodes (479 at peak, 631 added, 155 deleted).
% 0.49/0.67 ; Trie-index has 524 entries (528 at peak, 891 added, 367 deleted).
% 0.49/0.67 ; Trie-index has 727 nodes (734 at peak, 1,141 added, 414 deleted).
% 0.49/0.67 ; Retrieved 1,309 generalization terms in 1,797 calls.
% 0.49/0.67 ; Retrieved 776 instance terms in 376 calls.
% 0.49/0.67 ; Retrieved 18,391 unifiable terms in 4,286 calls.
% 0.49/0.67 ;
% 0.49/0.67 ; The agenda of rows to give has 122 entries:
% 0.49/0.67 ; 4 with value (4 6) 81 with value (4 7) 37 with value (4 8)
% 0.49/0.67 Evaluation took:
% 0.49/0.67 0.202 seconds of real time
% 0.49/0.67 0.17954 seconds of user run time
% 0.49/0.67 0.022079 seconds of system run time
% 0.49/0.67 [Run times include 0.009 seconds GC run time.]
% 0.49/0.67 0 calls to %EVAL
% 0.49/0.67 0 page faults and
% 0.49/0.67 14,380,888 bytes consed.
% 0.49/0.67 :PROOF-FOUND
% 0.49/0.67 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-12T03:45:33
% 0.49/0.67 :PROOF-FOUND
% 0.49/0.67 *
%------------------------------------------------------------------------------