TSTP Solution File: SYN690-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SYN690-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n003.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 12:02:33 EDT 2022
% Result : Unsatisfiable 1.36s 1.55s
% Output : Refutation 1.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 10
% Syntax : Number of clauses : 15 ( 10 unt; 2 nHn; 11 RR)
% Number of literals : 28 ( 0 equ; 15 neg)
% Maximal clause size : 6 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 24 ( 24 usr; 10 con; 0-2 aty)
% Number of variables : 21 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p2_14,negated_conjecture,
p2(X,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_14) ).
cnf(p34_19,negated_conjecture,
p34(c36,c37),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p34_19) ).
cnf(not_p2_20,negated_conjecture,
~ p2(c38,c40),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p2_20) ).
cnf(p4_21,negated_conjecture,
p4(f5(c40,X),f5(f7(c39,c40),X)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_21) ).
cnf(p4_22,negated_conjecture,
p4(f5(c38,X),f5(f7(c39,c38),X)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_22) ).
cnf(p2_36,negated_conjecture,
( p2(X,Y)
| ~ p2(Z,X)
| ~ p2(Z,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_36) ).
cnf(p4_57,negated_conjecture,
( p4(f5(f7(c39,X),Y),f5(f7(c39,Z),Y))
| p35(f10(c37,f12(f14(f16(c41,X),Z),Y)),Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_57) ).
cnf(p4_58,negated_conjecture,
( p4(f5(f7(c39,X),Y),f5(f7(c39,Z),Y))
| ~ p4(f5(X,f12(f14(f16(c41,X),Z),Y)),f5(Z,f12(f14(f16(c41,X),Z),Y))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_58) ).
cnf(p2_61,negated_conjecture,
( p2(X,Y)
| p4(f5(f26(f28(c43,Z),U),V),f5(f26(f28(c44,Z),U),V))
| ~ p34(c36,Z)
| ~ p35(f10(Z,V),f30(f32(c42,Z),U))
| ~ p4(f5(X,f18(f20(f22(f24(c45,Z),U),X),Y)),f5(f7(U,X),f18(f20(f22(f24(c45,Z),U),X),Y)))
| ~ p4(f5(Y,f18(f20(f22(f24(c45,Z),U),X),Y)),f5(f7(U,Y),f18(f20(f22(f24(c45,Z),U),X),Y))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_61) ).
cnf(p2_62,negated_conjecture,
( p2(X,Y)
| ~ p34(c36,Z)
| ~ p4(f5(X,f18(f20(f22(f24(c45,Z),U),X),Y)),f5(f7(U,X),f18(f20(f22(f24(c45,Z),U),X),Y)))
| ~ p4(f5(Y,f18(f20(f22(f24(c45,Z),U),X),Y)),f5(f7(U,Y),f18(f20(f22(f24(c45,Z),U),X),Y)))
| ~ p4(f5(f7(U,f26(f28(c43,Z),U)),f30(f32(c42,Z),U)),f5(f7(U,f26(f28(c44,Z),U)),f30(f32(c42,Z),U))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_62) ).
cnf(65,plain,
~ p2(c40,c38),
inference('UR-RESOLVE',[status(thm)],[p2_36,not_p2_20,p2_14]) ).
cnf(72,plain,
~ p4(f5(f7(c39,f26(f28(c43,c37),c39)),f30(f32(c42,c37),c39)),f5(f7(c39,f26(f28(c44,c37),c39)),f30(f32(c42,c37),c39))),
inference('UR-RESOLVE',[status(thm)],[p2_62,not_p2_20,p34_19,p4_22,p4_21]) ).
cnf(73,plain,
p35(f10(c37,f12(f14(f16(c41,f26(f28(c43,c37),c39)),f26(f28(c44,c37),c39)),f30(f32(c42,c37),c39))),f30(f32(c42,c37),c39)),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[p2_62,p34_19,p4_21,p4_22,p4_57]),65]) ).
cnf(496,plain,
~ p4(f5(f26(f28(c43,c37),c39),f12(f14(f16(c41,f26(f28(c43,c37),c39)),f26(f28(c44,c37),c39)),f30(f32(c42,c37),c39))),f5(f26(f28(c44,c37),c39),f12(f14(f16(c41,f26(f28(c43,c37),c39)),f26(f28(c44,c37),c39)),f30(f32(c42,c37),c39)))),
inference('UR-RESOLVE',[status(thm)],[p4_58,72]) ).
cnf(957,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[p2_61,73,not_p2_20,p34_19,p4_22,p4_21]),496]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SYN690-1 : TPTP v8.1.0. Released v2.5.0.
% 0.10/0.13 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n003.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Tue Jul 12 07:37:30 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.44 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45 *
% 0.19/0.45 *
% 0.19/0.46 #<PACKAGE "SNARK-USER">
% 0.19/0.46 *
% 0.19/0.46 SNARK-TPTP-OPTIONS
% 0.19/0.46 *
% 0.19/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46 (USE-FACTORING :POS)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46 *
% 0.19/0.46 "."
% 0.19/0.46 *
% 0.19/0.46 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-12T07:37:30
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n003.cluster.edu at 2022-07-12T07:37:30
% 1.36/1.55
% 1.36/1.55
% 1.36/1.55 #||
% 1.36/1.55 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.36/1.55 % SZS output start Refutation
% See solution above
% 1.36/1.56 ||#
% 1.36/1.56
% 1.36/1.56 ; Summary of computation:
% 1.36/1.56 ; 4137 formulas have been input or derived (from 170 formulas).
% 1.36/1.56 ; 957 (23%) were retained. Of these,
% 1.36/1.56 ; 28 ( 3%) were simplified or subsumed later,
% 1.36/1.56 ; 929 (97%) are still being kept.
% 1.36/1.56 ;
% 1.36/1.56 ; Run time in seconds excluding printing time:
% 1.36/1.56 ; 0.013 1% Read assertion file (1 call)
% 1.36/1.56 ; 0.002 0% Assert (62 calls)
% 1.36/1.56 ; 0.108 10% Process new row (3,546 calls)
% 1.36/1.56 ; 0.082 8% Resolution (338 calls)
% 1.36/1.56 ; 0.003 0% Paramodulation (169 calls)
% 1.36/1.56 ; 0.000 0% Factoring (46 calls)
% 1.36/1.56 ; 0.012 1% Condensing (1,390 calls)
% 1.36/1.56 ; 0.617 56% Forward subsumption (1,390 calls)
% 1.36/1.56 ; 0.067 6% Backward subsumption (849 calls)
% 1.36/1.56 ; 0.057 5% Clause clause subsumption (35,394 calls)
% 1.36/1.56 ; 0.088 8% Forward simplification (3,546 calls)
% 1.36/1.56 ; 0.003 0% Backward simplification (957 calls)
% 1.36/1.56 ; 0.004 0% Ordering (2,259 calls)
% 1.36/1.56 ; 0.000 0% Sortal reasoning (32 calls)
% 1.36/1.56 ; 0.000 0% Purity testing (1 call)
% 1.36/1.56 ; 0.037 3% Other
% 1.36/1.56 ; 1.093 Total
% 1.36/1.56 ; 1.099 Real time
% 1.36/1.56 ;
% 1.36/1.56 ; Term-hash-array has 960 terms in all.
% 1.36/1.56 ; Feature-vector-row-index has 821 entries (821 at peak, 849 added, 28 deleted).
% 1.36/1.56 ; Feature-vector-row-index has 6,062 nodes (6,062 at peak, 6,205 added, 143 deleted).
% 1.36/1.56 ; Retrieved 40,055 possibly forward subsuming rows in 1,390 calls.
% 1.36/1.56 ; Retrieved 5,383 possibly backward subsumed rows in 849 calls.
% 1.36/1.56 ; Path-index has 973 entries (973 at peak, 973 added, 0 deleted).
% 1.36/1.56 ; Path-index has 1,496 nodes (1,496 at peak, 1,496 added, 0 deleted).
% 1.36/1.56 ; Trie-index has 973 entries (973 at peak, 973 added, 0 deleted).
% 1.36/1.56 ; Trie-index has 3,572 nodes (3,572 at peak, 3,572 added, 0 deleted).
% 1.36/1.56 ; Retrieved 4,284 generalization terms in 7,692 calls.
% 1.36/1.56 ; Retrieved 107 instance terms in 107 calls.
% 1.36/1.56 ; Retrieved 23,247 unifiable terms in 2,581 calls.
% 1.36/1.56 ;
% 1.36/1.56 ; The agenda of rows to process has 281 entries:
% 1.36/1.56 ; 4 with value 64 18 with value 102 8 with value 124
% 1.36/1.56 ; 8 with value 67 12 with value 106 4 with value 129
% 1.36/1.56 ; 4 with value 69 8 with value 107 4 with value 130
% 1.36/1.56 ; 8 with value 71 16 with value 109 2 with value 133
% 1.36/1.56 ; 8 with value 73 20 with value 113 24 with value 136
% 1.36/1.56 ; 12 with value 75 16 with value 116 12 with value 138
% 1.36/1.56 ; 8 with value 77 16 with value 121 12 with value 146
% 1.36/1.56 ; 8 with value 79 4 with value 122 16 with value 149
% 1.36/1.56 ; 4 with value 81 8 with value 123 4 with value 157
% 1.36/1.56 ; 13 with value 99
% 1.36/1.56 ; The agenda of rows to give has 759 entries:
% 1.36/1.56 ; 24 with value (4 35) 28 with value (4 45) 12 with value (4 55)
% 1.36/1.56 ; 11 with value (4 36) 24 with value (4 46) 16 with value (4 56)
% 1.36/1.56 ; 22 with value (4 37) 69 with value (4 47) 9 with value (4 57)
% 1.36/1.56 ; 24 with value (4 38) 51 with value (4 48) 2 with value (4 58)
% 1.36/1.56 ; 32 with value (4 39) 46 with value (4 49) 1 with value (4 59)
% 1.36/1.56 ; 36 with value (4 40) 56 with value (4 50) 1 with value (4 60)
% 1.36/1.56 ; 16 with value (4 41) 42 with value (4 51) 1 with value (4 61)
% 1.36/1.56 ; 24 with value (4 42) 48 with value (4 52) 2 with value (4 62)
% 1.36/1.56 ; 40 with value (4 43) 48 with value (4 53) 2 with value (4 63)
% 1.36/1.56 ; 36 with value (4 44) 36 with value (4 54)
% 1.36/1.56 Evaluation took:
% 1.36/1.56 1.1 seconds of real time
% 1.36/1.56 1.008768 seconds of user run time
% 1.36/1.56 0.091237 seconds of system run time
% 1.36/1.56 [Run times include 0.053 seconds GC run time.]
% 1.36/1.56 0 calls to %EVAL
% 1.36/1.56 0 page faults and
% 1.36/1.56 140,612,848 bytes consed.
% 1.36/1.56 :PROOF-FOUND
% 1.36/1.56 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-12T07:37:32
% 1.36/1.56 :PROOF-FOUND
% 1.36/1.56 *
%------------------------------------------------------------------------------