TSTP Solution File: SYN252-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SYN252-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n022.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 11:58:45 EDT 2022
% Result : Unsatisfiable 0.46s 0.68s
% Output : Refutation 0.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 23
% Syntax : Number of clauses : 41 ( 23 unt; 0 nHn; 27 RR)
% Number of literals : 74 ( 0 equ; 37 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 17 ( 16 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 57 ( 21 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(axiom_5,axiom,
s0(b),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_5) ).
cnf(axiom_12,axiom,
m0(a,X,a),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_12) ).
cnf(axiom_14,axiom,
p0(b,X),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_14) ).
cnf(axiom_17,axiom,
q0(X,d),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_17) ).
cnf(axiom_19,axiom,
m0(X,d,Y),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_19) ).
cnf(axiom_20,axiom,
l0(a),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_20) ).
cnf(axiom_32,axiom,
k0(b),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_32) ).
cnf(axiom_37,axiom,
n0(b,a),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_37) ).
cnf(rule_002,axiom,
( l1(X,X)
| ~ n0(Y,X) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_002) ).
cnf(rule_050,axiom,
( n1(X,Y,X)
| ~ s0(b)
| ~ l0(X)
| ~ p0(b,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_050) ).
cnf(92,plain,
( n1(X,Y,X)
| ~ l0(X) ),
inference('REWRITE',[status(thm)],[rule_050,axiom_14,axiom_5]) ).
cnf(rule_054,axiom,
( n1(X,Y,Y)
| ~ l0(Z)
| ~ l1(Z,X)
| ~ n1(X,Y,X) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_054) ).
cnf(rule_069,axiom,
( p1(X,X,Y)
| ~ p0(Y,X) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_069) ).
cnf(rule_085,axiom,
( p1(X,X,X)
| ~ p0(Y,X) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_085) ).
cnf(rule_125,axiom,
( s1(X)
| ~ p0(X,X) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_125) ).
cnf(rule_126,axiom,
( s1(X)
| ~ q0(X,Y)
| ~ s1(Z) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/SYN001-0.ax',rule_133) ).
cnf(rule_177,axiom,
( q2(X,Y,Y)
| ~ k0(Y)
| ~ p1(X,X,X) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_177) ).
cnf(rule_181,axiom,
( q2(X,X,X)
| ~ p1(X,X,X) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_181) ).
cnf(rule_182,axiom,
( q2(X,Y,X)
| ~ p1(X,X,Z)
| ~ n1(Y,X,Z)
| ~ q2(Y,Z,X) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_182) ).
cnf(rule_189,axiom,
( s2(X)
| ~ q2(b,X,b)
| ~ s1(b) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_189) ).
cnf(rule_273,axiom,
( s3(X,Y)
| ~ q2(Z,X,Z)
| ~ s2(X)
| ~ m0(Z,U,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_273) ).
cnf(rule_279,axiom,
( m4(X,Y)
| ~ l2(Z,Y)
| ~ s3(a,X) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_279) ).
cnf(prove_this,negated_conjecture,
~ m4(X,d),
file('/export/starexec/sandbox/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(396,plain,
l1(a,a),
inference('HYPERRESOLVE',[status(thm)],[rule_002,axiom_37]) ).
cnf(403,plain,
n1(a,X,a),
inference('HYPERRESOLVE',[status(thm)],[92,axiom_20]) ).
cnf(417,plain,
p1(X,X,b),
inference('HYPERRESOLVE',[status(thm)],[rule_069,axiom_14]) ).
cnf(418,plain,
p1(X,X,X),
inference('HYPERRESOLVE',[status(thm)],[rule_085,axiom_14]) ).
cnf(419,plain,
( q2(X,Y,Y)
| ~ k0(Y) ),
inference('REWRITE',[status(thm)],[rule_177,418]) ).
cnf(420,plain,
q2(X,X,X),
inference('REWRITE',[status(thm)],[rule_181,418]) ).
cnf(423,plain,
q2(X,b,b),
inference('HYPERRESOLVE',[status(thm)],[419,axiom_32]) ).
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(580,plain,
~ s3(a,X),
inference('UR-RESOLVE',[status(thm)],[rule_279,543,prove_this]) ).
cnf(613,plain,
n1(a,X,X),
inference('HYPERRESOLVE',[status(thm)],[rule_054,403,axiom_20,396]) ).
cnf(721,plain,
~ s2(a),
inference('UR-RESOLVE',[status(thm)],[rule_273,580,420,axiom_12]) ).
cnf(765,plain,
~ q2(b,a,b),
inference('UR-RESOLVE',[status(thm)],[392,721]) ).
cnf(807,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[rule_182,613,417,423]),765]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYN252-1 : TPTP v8.1.0. Released v1.1.0.
% 0.11/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n022.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Tue Jul 12 07:53:10 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 2022-07-12T07:53:10
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n022.cluster.edu at 2022-07-12T07:53:10
% 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.
% 0.46/0.68
% 0.46/0.68
% 0.46/0.68 #||
% 0.46/0.68 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.46/0.68 % SZS output start Refutation
% See solution above
% 0.46/0.69 ||#
% 0.46/0.69
% 0.46/0.69 ; Summary of computation:
% 0.46/0.69 ; 2714 formulas have been input or derived (from 475 formulas).
% 0.46/0.69 ; 807 (30%) were retained. Of these,
% 0.46/0.69 ; 386 (48%) were simplified or subsumed later,
% 0.46/0.69 ; 421 (52%) are still being kept.
% 0.46/0.69 ;
% 0.46/0.69 ; Run time in seconds excluding printing time:
% 0.46/0.69 ; 0.062 30% Read assertion file (1 call)
% 0.46/0.69 ; 0.010 5% Assert (369 calls)
% 0.46/0.69 ; 0.034 16% Process new row (2,133 calls)
% 0.46/0.69 ; 0.027 13% Resolution (948 calls)
% 0.46/0.69 ; 0.000 0% Paramodulation (474 calls)
% 0.46/0.69 ; 0.007 3% Condensing (359 calls)
% 0.46/0.69 ; 0.005 2% Forward subsumption (359 calls)
% 0.46/0.69 ; 0.006 3% Backward subsumption (345 calls)
% 0.46/0.69 ; 0.000 0% Clause clause subsumption (170 calls)
% 0.46/0.69 ; 0.012 6% Forward simplification (2,064 calls)
% 0.46/0.69 ; 0.013 6% Backward simplification (760 calls)
% 0.46/0.69 ; 0.000 0% Sortal reasoning (32 calls)
% 0.46/0.69 ; 0.002 1% Purity testing (1 call)
% 0.46/0.69 ; 0.029 14% Other
% 0.46/0.69 ; 0.207 Total
% 0.46/0.69 ; 0.220 Real time
% 0.46/0.69 ;
% 0.46/0.69 ; Term-hash-array has 811 terms in all.
% 0.46/0.69 ; Feature-vector-row-index has 104 entries (273 at peak, 345 added, 241 deleted).
% 0.46/0.69 ; Feature-vector-row-index has 359 nodes (936 at peak, 1,198 added, 839 deleted).
% 0.46/0.69 ; Retrieved 149 possibly forward subsuming rows in 359 calls.
% 0.46/0.69 ; Retrieved 160 possibly backward subsumed rows in 345 calls.
% 0.46/0.69 ; Path-index has 542 entries (542 at peak, 928 added, 386 deleted).
% 0.46/0.69 ; Path-index has 481 nodes (481 at peak, 646 added, 165 deleted).
% 0.46/0.69 ; Trie-index has 542 entries (542 at peak, 928 added, 386 deleted).
% 0.46/0.69 ; Trie-index has 767 nodes (767 at peak, 1,200 added, 433 deleted).
% 0.46/0.69 ; Retrieved 1,665 generalization terms in 2,153 calls.
% 0.46/0.69 ; Retrieved 821 instance terms in 414 calls.
% 0.46/0.69 ; Retrieved 22,186 unifiable terms in 5,220 calls.
% 0.46/0.69 ;
% 0.46/0.69 ; The agenda of rows to process has 11 entries:
% 0.46/0.69 ; 11 with value 8
% 0.46/0.69 ; The agenda of rows to give has 108 entries:
% 0.46/0.69 ; 48 with value (4 7) 57 with value (4 8) 3 with value (4 9)
% 0.46/0.69 Evaluation took:
% 0.46/0.69 0.221 seconds of real time
% 0.46/0.69 0.203691 seconds of user run time
% 0.46/0.69 0.017132 seconds of system run time
% 0.46/0.69 [Run times include 0.009 seconds GC run time.]
% 0.46/0.69 0 calls to %EVAL
% 0.46/0.69 0 page faults and
% 0.46/0.69 13,701,648 bytes consed.
% 0.46/0.69 :PROOF-FOUND
% 0.46/0.69 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-12T07:53:10
% 0.46/0.69 :PROOF-FOUND
% 0.46/0.69 *
%------------------------------------------------------------------------------