TSTP Solution File: SYN116-10 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SYN116-10 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n014.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 0.68s 0.88s
% Output : Refutation 0.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 12
% Syntax : Number of clauses : 24 ( 24 unt; 0 nHn; 5 RR)
% Number of literals : 24 ( 23 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 4 con; 0-4 aty)
% Number of variables : 38 ( 20 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(ifeq_axiom,axiom,
ifeq(X,X,Y,Z) = Y,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ifeq_axiom) ).
cnf(axiom_19,axiom,
m0(X,d,Y) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_19) ).
cnf(axiom_26,axiom,
n0(d,c) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_26) ).
cnf(rule_002,axiom,
ifeq(n0(X,Y),true,l1(Y,Y),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_002) ).
cnf(rule_110,axiom,
ifeq(m0(X,Y,Z),true,q1(Z,Z,Z),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_110) ).
cnf(rule_154,axiom,
ifeq(q1(X,X,X),true,p2(X,X,X),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_154) ).
cnf(rule_240,axiom,
ifeq(p2(X,Y,Z),true,n3(Z),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_240) ).
cnf(rule_248,axiom,
ifeq(n3(X),true,ifeq(p2(Y,X,X),true,p3(X,X,X),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_248) ).
cnf(rule_267,axiom,
ifeq(p2(X,Y,Z),true,r3(X,Z,X),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_267) ).
cnf(rule_299,axiom,
ifeq(p3(X,Y,Z),true,ifeq(l1(U,Y),true,s4(U),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_299) ).
cnf(rule_300,axiom,
ifeq(s4(X),true,ifeq(r3(Y,Z,Z),true,k5(Z),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_300) ).
cnf(prove_this,negated_conjecture,
k5(b) != true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
cnf(421,plain,
l1(c,c) = true,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[rule_002,axiom_26,theory(equality)]),ifeq_axiom,theory(equality)]) ).
cnf(513,plain,
q1(X,X,X) = true,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[rule_110,axiom_19,theory(equality)]),ifeq_axiom,theory(equality)]) ).
cnf(515,plain,
p2(X,X,X) = true,
inference('REWRITE',[status(thm)],[rule_154,ifeq_axiom,513,theory(equality)]) ).
cnf(538,plain,
n3(X) = true,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[rule_240,515,theory(equality)]),ifeq_axiom,theory(equality)]) ).
cnf(541,plain,
ifeq(p2(X,Y,Y),true,p3(Y,Y,Y),true) = true,
inference('REWRITE',[status(thm)],[rule_248,ifeq_axiom,538,theory(equality)]) ).
cnf(557,plain,
r3(X,X,X) = true,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[rule_267,515,theory(equality)]),ifeq_axiom,theory(equality)]) ).
cnf(565,plain,
p3(X,X,X) = true,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[541,515,theory(equality)]),ifeq_axiom,theory(equality)]) ).
cnf(953,plain,
ifeq(s4(X),true,k5(Y),true) = true,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[rule_300,557,theory(equality)]),ifeq_axiom,theory(equality)]) ).
cnf(969,plain,
ifeq(l1(X,Y),true,s4(X),true) = true,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[rule_299,565,theory(equality)]),ifeq_axiom,theory(equality)]) ).
cnf(1314,plain,
s4(c) = true,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[969,421,theory(equality)]),ifeq_axiom,theory(equality)]) ).
cnf(1319,plain,
k5(X) = true,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[953,1314,theory(equality)]),ifeq_axiom,theory(equality)]) ).
cnf(1321,plain,
$false,
inference('REWRITE',[status(thm)],[prove_this,1319,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN116-10 : TPTP v8.1.0. Released v7.5.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.13/0.33 % Computer : n014.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Mon Jul 11 19:47:04 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.20/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.46 *
% 0.20/0.46 *
% 0.20/0.46 #<PACKAGE "SNARK-USER">
% 0.20/0.46 *
% 0.20/0.46 SNARK-TPTP-OPTIONS
% 0.20/0.46 *
% 0.20/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.46 (USE-FACTORING :POS)
% 0.20/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.46 *
% 0.20/0.46 "."
% 0.20/0.46 *
% 0.20/0.46 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T19:47:04
% 0.20/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n014.cluster.edu at 2022-07-11T19:47:04
% 0.68/0.88
% 0.68/0.88
% 0.68/0.88 #||
% 0.68/0.88 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.68/0.88 % SZS output start Refutation
% See solution above
% 0.68/0.88 ||#
% 0.68/0.88
% 0.68/0.88 ; Summary of computation:
% 0.68/0.88 ; 3511 formulas have been input or derived (from 548 formulas).
% 0.68/0.88 ; 1321 (38%) were retained. Of these,
% 0.68/0.88 ; 614 (46%) were simplified or subsumed later,
% 0.68/0.88 ; 707 (54%) are still being kept.
% 0.68/0.88 ;
% 0.68/0.88 ; Run time in seconds excluding printing time:
% 0.68/0.88 ; 0.075 18% Read assertion file (1 call)
% 0.68/0.88 ; 0.009 2% Assert (363 calls)
% 0.68/0.88 ; 0.092 22% Process new row (3,209 calls)
% 0.68/0.88 ; 0.023 6% Resolution (1,094 calls)
% 0.68/0.88 ; 0.057 14% Paramodulation (547 calls)
% 0.68/0.88 ; 0.048 12% Forward simplification (3,168 calls)
% 0.68/0.88 ; 0.070 17% Backward simplification (1,270 calls)
% 0.68/0.88 ; 0.003 1% Ordering (6,599 calls)
% 0.68/0.88 ; 0.001 0% Sortal reasoning (32 calls)
% 0.68/0.88 ; 0.000 0% Purity testing (1 call)
% 0.68/0.88 ; 0.037 9% Other
% 0.68/0.88 ; 0.415 Total
% 0.68/0.88 ; 0.416 Real time
% 0.68/0.88 ;
% 0.68/0.88 ; Term-hash-array has 4,087 terms in all.
% 0.68/0.88 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.68/0.88 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.68/0.88 ; Path-index has 2,384 entries (2,409 at peak, 4,369 added, 1,985 deleted).
% 0.68/0.88 ; Path-index has 4,062 nodes (4,149 at peak, 5,755 added, 1,693 deleted).
% 0.68/0.88 ; Trie-index has 2,384 entries (2,409 at peak, 4,369 added, 1,985 deleted).
% 0.68/0.88 ; Trie-index has 12,108 nodes (12,365 at peak, 23,617 added, 11,509 deleted).
% 0.68/0.88 ; Retrieved 7,178 generalization terms in 11,646 calls.
% 0.68/0.88 ; Retrieved 1,972 instance terms in 1,269 calls.
% 0.68/0.88 ; Retrieved 5,145 unifiable terms in 4,064 calls.
% 0.68/0.88 ;
% 0.68/0.88 ; The agenda of backward simplifiable rows to process has 1 entry:
% 0.68/0.88 ; 1 with value 0
% 0.68/0.88 ; The agenda of rows to process has 9 entries:
% 0.68/0.88 ; 5 with value 16 2 with value 23 1 with value 24
% 0.68/0.88 ; 1 with value 22
% 0.68/0.88 ; The agenda of input rows to give has 1 entry:
% 0.68/0.88 ; 1 with value 16
% 0.68/0.88 ; The agenda of rows to give has 358 entries:
% 0.68/0.88 ; 4 with value (4 9) 10 with value (4 21) 4 with value (4 28)
% 0.68/0.88 ; 1 with value (4 10) 25 with value (4 22) 4 with value (4 29)
% 0.68/0.88 ; 5 with value (4 15) 26 with value (4 23) 3 with value (4 30)
% 0.68/0.88 ; 46 with value (4 16) 26 with value (4 24) 1 with value (4 31)
% 0.68/0.88 ; 59 with value (4 17) 27 with value (4 25) 1 with value (4 32)
% 0.68/0.88 ; 36 with value (4 18) 17 with value (4 26) 1 with value (4 33)
% 0.68/0.88 ; 34 with value (4 19) 10 with value (4 27) 1 with value (4 35)
% 0.68/0.88 ; 17 with value (4 20)
% 0.68/0.88 Evaluation took:
% 0.68/0.88 0.417 seconds of real time
% 0.68/0.88 0.379926 seconds of user run time
% 0.68/0.88 0.037336 seconds of system run time
% 0.68/0.88 [Run times include 0.027 seconds GC run time.]
% 0.68/0.88 0 calls to %EVAL
% 0.68/0.88 0 page faults and
% 0.68/0.88 30,479,088 bytes consed.
% 0.68/0.88 :PROOF-FOUND
% 0.68/0.88 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T19:47:04
% 0.68/0.88 :PROOF-FOUND
% 0.68/0.88 *
%------------------------------------------------------------------------------