TSTP Solution File: SYN193-10 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SYN193-10 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n025.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 11:58:21 EDT 2022
% Result : Unsatisfiable 0.69s 0.84s
% Output : Refutation 0.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 18
% Syntax : Number of clauses : 32 ( 32 unt; 0 nHn; 10 RR)
% Number of literals : 32 ( 31 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 4 con; 0-4 aty)
% Number of variables : 46 ( 24 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(ifeq_axiom,axiom,
ifeq(X,X,Y,Z) = Y,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ifeq_axiom) ).
cnf(axiom_7,axiom,
n0(d,b) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
cnf(axiom_11,axiom,
n0(e,b) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_11) ).
cnf(axiom_14,axiom,
p0(b,X) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_14) ).
cnf(axiom_19,axiom,
m0(X,d,Y) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_19) ).
cnf(axiom_28,axiom,
k0(e) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_28) ).
cnf(axiom_31,axiom,
m0(b,b,e) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_31) ).
cnf(rule_001,axiom,
ifeq(n0(X,Y),true,k1(Y),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_001) ).
cnf(rule_040,axiom,
ifeq(m0(X,Y,e),true,ifeq(k1(X),true,n1(X,e,e),true),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_040) ).
cnf(rule_085,axiom,
ifeq(p0(X,Y),true,p1(Y,Y,Y),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_085) ).
cnf(rule_110,axiom,
ifeq(m0(X,Y,Z),true,q1(Z,Z,Z),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_110) ).
cnf(rule_154,axiom,
ifeq(q1(X,X,X),true,p2(X,X,X),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_154) ).
cnf(rule_177,axiom,
ifeq(p1(X,X,X),true,ifeq(k0(Y),true,q2(X,Y,Y),true),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_177) ).
cnf(rule_182,axiom,
ifeq(q2(X,Y,Z),true,ifeq(p1(Z,Z,Y),true,ifeq(n1(X,Z,Y),true,q2(Z,X,Z),true),true),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_182) ).
cnf(rule_240,axiom,
ifeq(p2(X,Y,Z),true,n3(Z),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_240) ).
cnf(rule_255,axiom,
ifeq(q2(X,Y,Z),true,ifeq(n0(X,Y),true,q3(Y,Z),true),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_255) ).
cnf(rule_298,axiom,
ifeq(q3(X,Y),true,ifeq(n3(Z),true,ifeq(p0(U,Z),true,r4(Z),true),true),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_298) ).
cnf(prove_this,negated_conjecture,
r4(b) != true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
cnf(410,plain,
k1(b) = true,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[rule_001,axiom_7,theory(equality)]),ifeq_axiom,theory(equality)]) ).
cnf(460,plain,
p1(X,X,X) = true,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[rule_085,axiom_14,theory(equality)]),ifeq_axiom,theory(equality)]) ).
cnf(476,plain,
ifeq(k0(X),true,q2(Y,X,X),true) = true,
inference('REWRITE',[status(thm)],[rule_177,ifeq_axiom,460,theory(equality)]) ).
cnf(483,plain,
q2(X,e,e) = true,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[476,axiom_28,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(543,plain,
ifeq(q3(X,Y),true,ifeq(p0(Z,U),true,r4(U),true),true) = true,
inference('REWRITE',[status(thm)],[rule_298,ifeq_axiom,538,theory(equality)]) ).
cnf(590,plain,
ifeq(q3(X,Y),true,r4(Z),true) = true,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[543,axiom_14,theory(equality)]),ifeq_axiom,theory(equality)]) ).
cnf(637,plain,
n1(b,e,e) = true,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[rule_040,axiom_31,theory(equality)]),ifeq_axiom,410,theory(equality)]) ).
cnf(980,plain,
q2(e,b,e) = true,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[rule_182,637,theory(equality)]),ifeq_axiom,460,483,theory(equality)]) ).
cnf(1027,plain,
q3(b,e) = true,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[rule_255,980,theory(equality)]),ifeq_axiom,axiom_11,theory(equality)]) ).
cnf(1089,plain,
r4(X) = true,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[590,1027,theory(equality)]),ifeq_axiom,theory(equality)]) ).
cnf(1100,plain,
$false,
inference('REWRITE',[status(thm)],[prove_this,1089,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN193-10 : TPTP v8.1.0. Released v7.3.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.14/0.34 % Computer : n025.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Mon Jul 11 16:40:17 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.47 *
% 0.21/0.47 *
% 0.21/0.47 #<PACKAGE "SNARK-USER">
% 0.21/0.47 *
% 0.21/0.47 SNARK-TPTP-OPTIONS
% 0.21/0.47 *
% 0.21/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.47 (USE-FACTORING :POS)
% 0.21/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.48 *
% 0.21/0.48 "."
% 0.21/0.48 *
% 0.21/0.48 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T16:40:17
% 0.21/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n025.cluster.edu at 2022-07-11T16:40:17
% 0.69/0.84
% 0.69/0.84
% 0.69/0.84 #||
% 0.69/0.84 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.69/0.84 % SZS output start Refutation
% See solution above
% 0.69/0.86 ||#
% 0.69/0.86
% 0.69/0.86 ; Summary of computation:
% 0.69/0.86 ; 2528 formulas have been input or derived (from 428 formulas).
% 0.69/0.86 ; 1100 (44%) were retained. Of these,
% 0.69/0.86 ; 504 (46%) were simplified or subsumed later,
% 0.69/0.86 ; 596 (54%) are still being kept.
% 0.69/0.86 ;
% 0.69/0.86 ; Run time in seconds excluding printing time:
% 0.69/0.86 ; 0.076 21% Read assertion file (1 call)
% 0.69/0.86 ; 0.009 2% Assert (363 calls)
% 0.69/0.86 ; 0.095 26% Process new row (2,297 calls)
% 0.69/0.86 ; 0.012 3% Resolution (854 calls)
% 0.69/0.86 ; 0.027 7% Paramodulation (427 calls)
% 0.69/0.86 ; 0.037 10% Forward simplification (2,256 calls)
% 0.69/0.86 ; 0.063 17% Backward simplification (1,049 calls)
% 0.69/0.86 ; 0.008 2% Ordering (4,763 calls)
% 0.69/0.86 ; 0.000 0% Sortal reasoning (32 calls)
% 0.69/0.86 ; 0.000 0% Purity testing (1 call)
% 0.69/0.86 ; 0.039 11% Other
% 0.69/0.86 ; 0.366 Total
% 0.69/0.86 ; 0.386 Real time
% 0.69/0.86 ;
% 0.69/0.86 ; Term-hash-array has 3,519 terms in all.
% 0.69/0.86 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.69/0.86 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.69/0.86 ; Path-index has 2,129 entries (2,270 at peak, 3,765 added, 1,636 deleted).
% 0.69/0.86 ; Path-index has 3,995 nodes (4,150 at peak, 5,464 added, 1,469 deleted).
% 0.69/0.86 ; Trie-index has 2,129 entries (2,270 at peak, 3,765 added, 1,636 deleted).
% 0.69/0.86 ; Trie-index has 11,303 nodes (12,366 at peak, 20,852 added, 9,549 deleted).
% 0.69/0.86 ; Retrieved 4,914 generalization terms in 8,130 calls.
% 0.69/0.86 ; Retrieved 1,670 instance terms in 1,048 calls.
% 0.69/0.86 ; Retrieved 3,853 unifiable terms in 3,301 calls.
% 0.69/0.86 ;
% 0.69/0.86 ; The agenda of input rows to give has 7 entries:
% 0.69/0.86 ; 1 with value 6 2 with value 11 1 with value 24
% 0.69/0.86 ; 1 with value 7 2 with value 12
% 0.69/0.86 ; The agenda of rows to give has 333 entries:
% 0.69/0.86 ; 1 with value (4 10) 2 with value (4 20) 22 with value (4 26)
% 0.69/0.86 ; 7 with value (4 14) 7 with value (4 21) 4 with value (4 27)
% 0.69/0.86 ; 38 with value (4 15) 26 with value (4 22) 3 with value (4 28)
% 0.69/0.86 ; 53 with value (4 16) 22 with value (4 23) 4 with value (4 29)
% 0.69/0.86 ; 58 with value (4 17) 26 with value (4 24) 4 with value (4 30)
% 0.69/0.86 ; 29 with value (4 18) 16 with value (4 25) 1 with value (4 33)
% 0.69/0.86 ; 10 with value (4 19)
% 0.69/0.86 Evaluation took:
% 0.69/0.86 0.387 seconds of real time
% 0.69/0.86 0.352027 seconds of user run time
% 0.69/0.86 0.034995 seconds of system run time
% 0.69/0.86 [Run times include 0.031 seconds GC run time.]
% 0.69/0.86 0 calls to %EVAL
% 0.69/0.86 0 page faults and
% 0.69/0.86 26,238,296 bytes consed.
% 0.69/0.86 :PROOF-FOUND
% 0.69/0.86 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T16:40:18
% 0.69/0.86 :PROOF-FOUND
% 0.69/0.86 *
%------------------------------------------------------------------------------