%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SYN142-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n005.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 11:57:59 EDT 2022
% Result : Unsatisfiable 0.47s 0.69s
% Output : Refutation 0.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 32
% Syntax : Number of clauses : 60 ( 32 unt; 0 nHn; 40 RR)
% Number of literals : 111 ( 0 equ; 54 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 24 ( 23 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 85 ( 33 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(axiom_5,axiom,
s0(b),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_5) ).
cnf(axiom_9,axiom,
r0(b),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_9) ).
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_30,axiom,
n0(e,e),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_30) ).
cnf(axiom_31,axiom,
m0(b,b,e),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_31) ).
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_003,axiom,
( l1(X,Y)
| ~ p0(Z,X)
| ~ r0(U)
| ~ m0(Y,X,Z) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_003) ).
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_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_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_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_240,axiom,
( n3(X)
| ~ p2(Y,Z,X) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_240) ).
cnf(rule_248,axiom,
( p3(X,X,X)
| ~ p2(Y,X,X)
| ~ n3(X) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_248) ).
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(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_305,axiom,
( m5(X,X)
| ~ s4(X)
| ~ m4(e,e) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_305) ).
cnf(prove_this,negated_conjecture,
~ m5(d,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
cnf(395,plain,
s1(b),
inference('HYPERRESOLVE',[status(thm)],[rule_125,axiom_14]) ).
cnf(396,plain,
( s2(X)
| ~ q2(b,X,b) ),
inference('REWRITE',[status(thm)],[rule_189,395]) ).
cnf(401,plain,
l1(a,a),
inference('HYPERRESOLVE',[status(thm)],[rule_002,axiom_37]) ).
cnf(408,plain,
n1(a,X,a),
inference('HYPERRESOLVE',[status(thm)],[92,axiom_20]) ).
cnf(422,plain,
p1(X,X,b),
inference('HYPERRESOLVE',[status(thm)],[rule_069,axiom_14]) ).
cnf(423,plain,
p1(X,X,X),
inference('HYPERRESOLVE',[status(thm)],[rule_085,axiom_14]) ).
cnf(424,plain,
( q2(X,Y,Y)
| ~ k0(Y) ),
inference('REWRITE',[status(thm)],[rule_177,423]) ).
cnf(428,plain,
q2(X,b,b),
inference('HYPERRESOLVE',[status(thm)],[424,axiom_32]) ).
cnf(450,plain,
q1(X,X,X),
inference('HYPERRESOLVE',[status(thm)],[rule_110,axiom_19]) ).
cnf(452,plain,
p2(X,X,X),
inference('REWRITE',[status(thm)],[rule_154,450]) ).
cnf(455,plain,
n3(X),
inference('HYPERRESOLVE',[status(thm)],[rule_240,452]) ).
cnf(457,plain,
( p3(X,X,X)
| ~ p2(Y,X,X) ),
inference('REWRITE',[status(thm)],[rule_248,455]) ).
cnf(464,plain,
p3(X,X,X),
inference('HYPERRESOLVE',[status(thm)],[457,452]) ).
cnf(507,plain,
l1(d,X),
inference('HYPERRESOLVE',[status(thm)],[rule_003,axiom_14,axiom_9,axiom_19]) ).
cnf(533,plain,
s1(X),
inference('HYPERRESOLVE',[status(thm)],[rule_126,395,axiom_17]) ).
cnf(536,plain,
( l2(X,X)
| ~ p0(Y,Y)
| ~ m0(Z,U,X) ),
inference('REWRITE',[status(thm)],[rule_133,533]) ).
cnf(537,plain,
( l2(X,Y)
| ~ n0(e,Y)
| ~ l2(Y,Y) ),
inference('REWRITE',[status(thm)],[rule_131,533]) ).
cnf(548,plain,
l2(X,X),
inference('HYPERRESOLVE',[status(thm)],[536,axiom_14,axiom_19]) ).
cnf(550,plain,
( l2(X,Y)
| ~ n0(e,Y) ),
inference('REWRITE',[status(thm)],[537,548]) ).
cnf(556,plain,
l2(X,e),
inference('HYPERRESOLVE',[status(thm)],[550,axiom_30]) ).
cnf(617,plain,
n1(a,X,X),
inference('HYPERRESOLVE',[status(thm)],[rule_054,408,axiom_20,401]) ).
cnf(682,plain,
s4(d),
inference('HYPERRESOLVE',[status(thm)],[rule_299,464,507]) ).
cnf(691,plain,
~ m4(e,e),
inference('UR-RESOLVE',[status(thm)],[rule_305,682,prove_this]) ).
cnf(814,plain,
q2(b,a,b),
inference('HYPERRESOLVE',[status(thm)],[rule_182,617,422,428]) ).
cnf(837,plain,
~ s3(a,e),
inference('UR-RESOLVE',[status(thm)],[rule_279,691,556]) ).
cnf(905,plain,
s2(a),
inference('HYPERRESOLVE',[status(thm)],[396,814]) ).
cnf(908,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[rule_273,905,814,axiom_31]),837]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SYN142-1 : TPTP v8.1.0. Released v1.1.0.
% 0.11/0.12 % Command : run-snark %s %d
% 0.11/0.33 % Computer : n005.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Mon Jul 11 13:10:37 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.18/0.44 /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p 2022-07-11T13:10:37
% 0.18/0.45 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n005.cluster.edu at 2022-07-11T13:10:37
% 0.18/0.54 WARNING:
% 0.18/0.54 |q5| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.18/0.54 WARNING:
% 0.18/0.54 |r5| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.69
% 0.47/0.69
% 0.47/0.69 #||
% 0.47/0.69 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.47/0.69 % SZS output start Refutation
% See solution above
% 0.47/0.70 ||#
% 0.47/0.70
% 0.47/0.70 ; Summary of computation:
% 0.47/0.70 ; 4300 formulas have been input or derived (from 597 formulas).
% 0.47/0.70 ; 908 (21%) were retained. Of these,
% 0.47/0.70 ; 411 (45%) were simplified or subsumed later,
% 0.47/0.70 ; 497 (55%) are still being kept.
% 0.47/0.70 ;
% 0.47/0.70 ; Run time in seconds excluding printing time:
% 0.47/0.70 ; 0.062 26% Read assertion file (1 call)
% 0.47/0.70 ; 0.009 4% Assert (369 calls)
% 0.47/0.70 ; 0.039 16% Process new row (3,180 calls)
% 0.47/0.70 ; 0.046 19% Resolution (1,192 calls)
% 0.47/0.70 ; 0.003 1% Paramodulation (596 calls)
% 0.47/0.70 ; 0.001 0% Condensing (364 calls)
% 0.47/0.70 ; 0.004 2% Forward subsumption (364 calls)
% 0.47/0.70 ; 0.007 3% Backward subsumption (350 calls)
% 0.47/0.70 ; 0.000 0% Clause clause subsumption (170 calls)
% 0.47/0.70 ; 0.024 10% Forward simplification (3,103 calls)
% 0.47/0.70 ; 0.012 5% Backward simplification (861 calls)
% 0.47/0.70 ; 0.000 0% Sortal reasoning (32 calls)
% 0.47/0.70 ; 0.002 1% Purity testing (1 call)
% 0.47/0.70 ; 0.032 13% Other
% 0.47/0.70 ; 0.241 Total
% 0.47/0.70 ; 0.244 Real time
% 0.47/0.70 ;
% 0.47/0.70 ; Term-hash-array has 902 terms in all.
% 0.47/0.70 ; Feature-vector-row-index has 101 entries (277 at peak, 350 added, 249 deleted).
% 0.47/0.70 ; Feature-vector-row-index has 310 nodes (944 at peak, 1,214 added, 904 deleted).
% 0.47/0.70 ; Retrieved 150 possibly forward subsuming rows in 364 calls.
% 0.47/0.70 ; Retrieved 161 possibly backward subsumed rows in 350 calls.
% 0.47/0.70 ; Path-index has 609 entries (609 at peak, 1,024 added, 415 deleted).
% 0.47/0.70 ; Path-index has 515 nodes (515 at peak, 682 added, 167 deleted).
% 0.47/0.70 ; Trie-index has 609 entries (609 at peak, 1,024 added, 415 deleted).
% 0.47/0.70 ; Trie-index has 870 nodes (870 at peak, 1,346 added, 476 deleted).
% 0.47/0.70 ; Retrieved 2,701 generalization terms in 3,194 calls.
% 0.47/0.70 ; Retrieved 958 instance terms in 510 calls.
% 0.47/0.70 ; Retrieved 30,396 unifiable terms in 7,149 calls.
% 0.47/0.70 ;
% 0.47/0.70 ; The agenda of rows to process has 33 entries:
% 0.47/0.70 ; 19 with value 9 14 with value 10
% 0.47/0.70 ; The agenda of rows to give has 78 entries:
% 0.47/0.70 ; 42 with value (4 8) 36 with value (4 9)
% 0.47/0.70 Evaluation took:
% 0.47/0.70 0.244 seconds of real time
% 0.47/0.70 0.211927 seconds of user run time
% 0.47/0.70 0.032362 seconds of system run time
% 0.47/0.70 [Run times include 0.009 seconds GC run time.]
% 0.47/0.70 0 calls to %EVAL
% 0.47/0.70 0 page faults and
% 0.47/0.70 16,633,064 bytes consed.
% 0.47/0.70 :PROOF-FOUND
% 0.47/0.70 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T13:10:37
% 0.47/0.70 :PROOF-FOUND
% 0.47/0.70 *
%------------------------------------------------------------------------------