%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SYN116-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n023.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 11:57:49 EDT 2022
% Result : Unsatisfiable 0.48s 0.65s
% Output : Refutation 0.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 23
% Syntax : Number of clauses : 46 ( 25 unt; 0 nHn; 32 RR)
% Number of literals : 81 ( 0 equ; 39 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 19 ( 18 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 63 ( 29 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(axiom_1,axiom,
s0(d),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_1) ).
cnf(axiom_7,axiom,
n0(d,b),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_7) ).
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_30,axiom,
n0(e,e),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_30) ).
cnf(axiom_36,axiom,
q0(a,b),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_36) ).
cnf(rule_002,axiom,
( l1(X,X)
| ~ n0(Y,X) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_002) ).
cnf(rule_085,axiom,
( p1(X,X,X)
| ~ p0(Y,X) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_085) ).
cnf(rule_110,axiom,
( q1(X,X,X)
| ~ m0(Y,Z,X) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_110) ).
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_131,axiom,
( l2(X,Y)
| ~ s1(X)
| ~ n0(e,Y)
| ~ l2(Y,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_131) ).
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_154,axiom,
( p2(X,X,X)
| ~ q1(X,X,X) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_154) ).
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_190,axiom,
( s2(d)
| ~ s1(a)
| ~ s0(d) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/SYN001-0.ax',rule_225) ).
cnf(rule_254,axiom,
( p3(e,b,e)
| ~ m3(e,X,e)
| ~ q2(X,X,b) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_254) ).
cnf(rule_267,axiom,
( r3(X,Y,X)
| ~ p2(X,Z,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_267) ).
cnf(rule_299,axiom,
( s4(X)
| ~ p3(Y,Z,U)
| ~ l1(X,Z) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_299) ).
cnf(rule_300,axiom,
( k5(X)
| ~ s4(Y)
| ~ r3(Z,X,X) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_300) ).
cnf(prove_this,negated_conjecture,
~ k5(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
cnf(392,plain,
s1(b),
inference('HYPERRESOLVE',[status(thm)],[rule_125,axiom_14]) ).
cnf(396,plain,
l1(b,b),
inference('HYPERRESOLVE',[status(thm)],[rule_002,axiom_7]) ).
cnf(419,plain,
p1(X,X,X),
inference('HYPERRESOLVE',[status(thm)],[rule_085,axiom_14]) ).
cnf(421,plain,
q2(X,X,X),
inference('REWRITE',[status(thm)],[rule_181,419]) ).
cnf(446,plain,
q1(X,X,X),
inference('HYPERRESOLVE',[status(thm)],[rule_110,axiom_19]) ).
cnf(448,plain,
p2(X,X,X),
inference('REWRITE',[status(thm)],[rule_154,446]) ).
cnf(459,plain,
r3(X,X,X),
inference('HYPERRESOLVE',[status(thm)],[rule_267,448]) ).
cnf(526,plain,
s1(a),
inference('HYPERRESOLVE',[status(thm)],[rule_126,392,axiom_36]) ).
cnf(527,plain,
s2(d),
inference('REWRITE',[status(thm)],[249,526]) ).
cnf(529,plain,
s1(X),
inference('HYPERRESOLVE',[status(thm)],[rule_126,392,axiom_17]) ).
cnf(532,plain,
( l2(X,X)
| ~ p0(Y,Y)
| ~ m0(Z,U,X) ),
inference('REWRITE',[status(thm)],[rule_133,529]) ).
cnf(533,plain,
( l2(X,Y)
| ~ n0(e,Y)
| ~ l2(Y,Y) ),
inference('REWRITE',[status(thm)],[rule_131,529]) ).
cnf(544,plain,
l2(X,X),
inference('HYPERRESOLVE',[status(thm)],[532,axiom_14,axiom_19]) ).
cnf(546,plain,
( l2(X,Y)
| ~ n0(e,Y) ),
inference('REWRITE',[status(thm)],[533,544]) ).
cnf(552,plain,
l2(X,e),
inference('HYPERRESOLVE',[status(thm)],[546,axiom_30]) ).
cnf(604,plain,
m3(e,X,e),
inference('HYPERRESOLVE',[status(thm)],[rule_225,552,axiom_19,axiom_19,527]) ).
cnf(605,plain,
( p3(e,b,e)
| ~ q2(X,X,b) ),
inference('REWRITE',[status(thm)],[rule_254,604]) ).
cnf(608,plain,
p3(e,b,e),
inference('HYPERRESOLVE',[status(thm)],[605,421]) ).
cnf(669,plain,
~ s4(X),
inference('UR-RESOLVE',[status(thm)],[rule_300,459,prove_this]) ).
cnf(670,plain,
( ~ p3(X,Y,Z)
| ~ l1(U,Y) ),
inference('REWRITE',[status(thm)],[rule_299,669]) ).
cnf(675,plain,
~ p3(X,b,Y),
inference('UR-RESOLVE',[status(thm)],[670,396]) ).
cnf(676,plain,
$false,
inference('REWRITE',[status(thm)],[608,675]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN116-1 : TPTP v8.1.0. Released v1.1.0.
% 0.12/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n023.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 : Mon Jul 11 17:43:24 EDT 2022
% 0.12/0.34 % 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 2022-07-11T17:43:25
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n023.cluster.edu at 2022-07-11T17:43:25
% 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.
% 0.48/0.65
% 0.48/0.65
% 0.48/0.65 #||
% 0.48/0.65 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.48/0.65 % SZS output start Refutation
% See solution above
% 0.48/0.65 ||#
% 0.48/0.65
% 0.48/0.65 ; Summary of computation:
% 0.48/0.65 ; 1542 formulas have been input or derived (from 353 formulas).
% 0.48/0.65 ; 676 (44%) were retained. Of these,
% 0.48/0.65 ; 360 (53%) were simplified or subsumed later,
% 0.48/0.65 ; 316 (47%) are still being kept.
% 0.48/0.65 ;
% 0.48/0.65 ; Run time in seconds excluding printing time:
% 0.48/0.65 ; 0.062 34% Read assertion file (1 call)
% 0.48/0.65 ; 0.010 5% Assert (369 calls)
% 0.48/0.65 ; 0.028 15% Process new row (1,300 calls)
% 0.48/0.65 ; 0.018 10% Resolution (704 calls)
% 0.48/0.65 ; 0.000 0% Paramodulation (352 calls)
% 0.48/0.65 ; 0.001 1% Condensing (356 calls)
% 0.48/0.65 ; 0.010 5% Forward subsumption (356 calls)
% 0.48/0.65 ; 0.007 4% Backward subsumption (342 calls)
% 0.48/0.65 ; 0.001 1% Clause clause subsumption (170 calls)
% 0.48/0.65 ; 0.008 4% Forward simplification (1,235 calls)
% 0.48/0.65 ; 0.011 6% Backward simplification (629 calls)
% 0.48/0.65 ; 0.001 1% Sortal reasoning (32 calls)
% 0.48/0.65 ; 0.002 1% Purity testing (1 call)
% 0.48/0.65 ; 0.024 13% Other
% 0.48/0.65 ; 0.183 Total
% 0.48/0.65 ; 0.186 Real time
% 0.48/0.65 ;
% 0.48/0.65 ; Term-hash-array has 704 terms in all.
% 0.48/0.65 ; Feature-vector-row-index has 117 entries (273 at peak, 342 added, 225 deleted).
% 0.48/0.65 ; Feature-vector-row-index has 410 nodes (936 at peak, 1,186 added, 776 deleted).
% 0.48/0.65 ; Retrieved 149 possibly forward subsuming rows in 356 calls.
% 0.48/0.65 ; Retrieved 160 possibly backward subsumed rows in 342 calls.
% 0.48/0.65 ; Path-index has 454 entries (526 at peak, 808 added, 354 deleted).
% 0.48/0.65 ; Path-index has 443 nodes (460 at peak, 597 added, 154 deleted).
% 0.48/0.65 ; Trie-index has 454 entries (526 at peak, 808 added, 354 deleted).
% 0.48/0.65 ; Trie-index has 619 nodes (630 at peak, 1,026 added, 407 deleted).
% 0.48/0.65 ; Retrieved 844 generalization terms in 1,328 calls.
% 0.48/0.65 ; Retrieved 657 instance terms in 286 calls.
% 0.48/0.65 ; Retrieved 12,679 unifiable terms in 2,820 calls.
% 0.48/0.65 ;
% 0.48/0.65 ; The agenda of rows to process has 3 entries:
% 0.48/0.65 ; 3 with value 7
% 0.48/0.65 ; The agenda of input rows to give has 1 entry:
% 0.48/0.65 ; 1 with value 4
% 0.48/0.65 ; The agenda of rows to give has 104 entries:
% 0.48/0.65 ; 1 with value (4 5) 57 with value (4 7) 3 with value (4 8)
% 0.48/0.65 ; 43 with value (4 6)
% 0.48/0.65 Evaluation took:
% 0.48/0.65 0.187 seconds of real time
% 0.48/0.65 0.167574 seconds of user run time
% 0.48/0.65 0.018974 seconds of system run time
% 0.48/0.65 0 calls to %EVAL
% 0.48/0.65 0 page faults and
% 0.48/0.65 12,162,160 bytes consed.
% 0.48/0.65 :PROOF-FOUND
% 0.48/0.65 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T17:43:25
% 0.48/0.65 :PROOF-FOUND
% 0.48/0.65 *
%------------------------------------------------------------------------------