TSTP Solution File: LCL203-3 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LCL203-3 : TPTP v8.1.0. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n018.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 : Sun Jul 17 14:21:07 EDT 2022
% Result : Unsatisfiable 26.16s 26.36s
% Output : Refutation 26.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of clauses : 32 ( 30 unt; 0 nHn; 7 RR)
% Number of literals : 35 ( 1 equ; 7 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 60 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(axiom_1_2,axiom,
axiom(implies(or(X,X),X)),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',axiom_1_2) ).
cnf(axiom_1_3,axiom,
axiom(implies(X,or(Y,X))),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',axiom_1_3) ).
cnf(axiom_1_4,axiom,
axiom(implies(or(X,Y),or(Y,X))),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',axiom_1_4) ).
cnf(axiom_1_5,axiom,
axiom(implies(or(X,or(Y,Z)),or(Y,or(X,Z)))),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',axiom_1_5) ).
cnf(axiom_1_6,axiom,
axiom(implies(implies(X,Y),implies(or(Z,X),or(Z,Y)))),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',axiom_1_6) ).
cnf(implies_definition,axiom,
implies(X,Y) = or(not(X),Y),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',implies_definition) ).
cnf(rule_1,axiom,
( theorem(X)
| ~ axiom(X) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',rule_1) ).
cnf(rule_2,axiom,
( theorem(X)
| ~ theorem(implies(Y,X))
| ~ theorem(Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',rule_2) ).
cnf(prove_this,negated_conjecture,
~ theorem(implies(not(or(p,q)),or(not(p),not(q)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
cnf(10,plain,
~ theorem(implies(not(or(p,q)),implies(p,not(q)))),
inference('REWRITE',[status(thm)],[prove_this,implies_definition,theory(equality)]) ).
cnf(11,plain,
theorem(implies(or(X,X),X)),
inference('HYPERRESOLVE',[status(thm)],[rule_1,axiom_1_2]) ).
cnf(12,plain,
theorem(implies(X,or(Y,X))),
inference('HYPERRESOLVE',[status(thm)],[rule_1,axiom_1_3]) ).
cnf(13,plain,
theorem(implies(or(X,Y),or(Y,X))),
inference('HYPERRESOLVE',[status(thm)],[rule_1,axiom_1_4]) ).
cnf(19,plain,
theorem(implies(or(X,or(Y,Z)),or(Y,or(X,Z)))),
inference('HYPERRESOLVE',[status(thm)],[rule_1,axiom_1_5]) ).
cnf(22,plain,
theorem(implies(implies(X,Y),implies(or(Z,X),or(Z,Y)))),
inference('HYPERRESOLVE',[status(thm)],[rule_1,axiom_1_6]) ).
cnf(27,plain,
theorem(implies(X,implies(Y,X))),
inference('PARAMODULATE',[status(thm)],[12,implies_definition,theory(equality)]) ).
cnf(48,plain,
theorem(implies(implies(X,Y),or(Y,not(X)))),
inference('PARAMODULATE',[status(thm)],[13,implies_definition,theory(equality)]) ).
cnf(113,plain,
theorem(implies(implies(X,not(Y)),implies(Y,not(X)))),
inference('PARAMODULATE',[status(thm)],[48,implies_definition,theory(equality)]) ).
cnf(280,plain,
theorem(implies(or(X,implies(Y,Z)),implies(Y,or(X,Z)))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[19,implies_definition,theory(equality)]),implies_definition,theory(equality)]) ).
cnf(294,plain,
theorem(implies(or(X,or(Y,Y)),or(X,Y))),
inference('HYPERRESOLVE',[status(thm)],[rule_2,22,11]) ).
cnf(296,plain,
theorem(implies(or(X,Y),or(X,implies(Z,Y)))),
inference('HYPERRESOLVE',[status(thm)],[rule_2,22,27]) ).
cnf(300,plain,
theorem(implies(implies(X,Y),implies(implies(Z,X),implies(Z,Y)))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[22,implies_definition,theory(equality)]),implies_definition,theory(equality)]) ).
cnf(316,plain,
theorem(implies(implies(X,or(Y,Y)),implies(X,Y))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[294,implies_definition,theory(equality)]),implies_definition,theory(equality)]) ).
cnf(437,plain,
theorem(implies(implies(X,Y),implies(X,implies(Z,Y)))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[296,implies_definition,theory(equality)]),implies_definition,theory(equality)]) ).
cnf(451,plain,
theorem(implies(X,X)),
inference('HYPERRESOLVE',[status(thm)],[rule_2,316,12]) ).
cnf(478,plain,
theorem(implies(X,not(not(X)))),
inference('HYPERRESOLVE',[status(thm)],[rule_2,451,113]) ).
cnf(2182,plain,
theorem(implies(implies(X,implies(Y,Z)),implies(Y,implies(X,Z)))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[280,implies_definition,theory(equality)]),implies_definition,theory(equality)]) ).
cnf(3084,plain,
~ theorem(implies(not(or(p,q)),not(q))),
inference('UR-RESOLVE',[status(thm)],[rule_2,437,10]) ).
cnf(3145,plain,
~ theorem(implies(q,not(not(or(p,q))))),
inference('UR-RESOLVE',[status(thm)],[rule_2,3084,113]) ).
cnf(15791,plain,
theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))),
inference('HYPERRESOLVE',[status(thm)],[rule_2,2182,300]) ).
cnf(63255,plain,
theorem(implies(implies(or(X,Y),Z),implies(Y,Z))),
inference('HYPERRESOLVE',[status(thm)],[rule_2,15791,12]) ).
cnf(64034,plain,
$false,
inference('UR-RESOLVE',[status(thm)],[rule_2,63255,3145,478]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL203-3 : TPTP v8.1.0. Released v2.3.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n018.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jul 4 02:19:20 EDT 2022
% 0.13/0.34 % 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 2022-07-04T02:19:20
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n018.cluster.edu at 2022-07-04T02:19:20
% 26.16/26.36
% 26.16/26.36
% 26.16/26.36 #||
% 26.16/26.36 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 26.16/26.36 % SZS output start Refutation
% See solution above
% 26.16/26.36 ||#
% 26.16/26.36
% 26.16/26.36 ; Summary of computation:
% 26.16/26.36 ; 112946 formulas have been input or derived (from 586 formulas).
% 26.16/26.36 ; 64034 (57%) were retained. Of these,
% 26.16/26.36 ; 8 ( 0%) were simplified or subsumed later,
% 26.16/26.36 ; 64026 (100%) are still being kept.
% 26.16/26.36 ;
% 26.16/26.36 ; Run time in seconds excluding printing time:
% 26.16/26.36 ; 0.002 0% Read assertion file (1 call)
% 26.16/26.36 ; 0.000 0% Assert (9 calls)
% 26.16/26.36 ; 7.577 29% Process new row (96,911 calls)
% 26.16/26.36 ; 10.810 42% Resolution (1,170 calls)
% 26.16/26.36 ; 0.604 2% Paramodulation (585 calls)
% 26.16/26.36 ; 0.000 0% Condensing (2 calls)
% 26.16/26.36 ; 0.001 0% Forward subsumption (2 calls)
% 26.16/26.36 ; 0.000 0% Backward subsumption (2 calls)
% 26.16/26.36 ; 2.863 11% Forward simplification (96,911 calls)
% 26.16/26.36 ; 3.680 14% Backward simplification (64,033 calls)
% 26.16/26.36 ; 0.000 0% Ordering (486 calls)
% 26.16/26.36 ; 0.000 0% Sortal reasoning (32 calls)
% 26.16/26.36 ; 0.001 0% Purity testing (1 call)
% 26.16/26.36 ; 0.346 1% Other
% 26.16/26.36 ; 25.884 Total
% 26.16/26.36 ; 25.892 Real time
% 26.16/26.36 ;
% 26.16/26.36 ; Term-hash-array has 135,971 terms in all.
% 26.16/26.36 ; Feature-vector-row-index has 2 entries (2 at peak, 2 added, 0 deleted).
% 26.16/26.36 ; Feature-vector-row-index has 6 nodes (6 at peak, 6 added, 0 deleted).
% 26.16/26.36 ; Retrieved 0 possibly forward subsuming rows in 2 calls.
% 26.16/26.36 ; Retrieved 0 possibly backward subsumed rows in 2 calls.
% 26.16/26.37 ; Path-index has 135,960 entries (135,960 at peak, 135,973 added, 13 deleted).
% 26.16/26.37 ; Path-index has 34,715 nodes (34,715 at peak, 34,715 added, 0 deleted).
% 26.16/26.37 ; Trie-index has 135,960 entries (135,960 at peak, 135,973 added, 13 deleted).
% 26.16/26.37 ; Trie-index has 313,900 nodes (313,900 at peak, 313,900 added, 0 deleted).
% 26.16/26.37 ; Retrieved 1,007,498 generalization terms in 269,794 calls.
% 26.16/26.37 ; Retrieved 225,636 instance terms in 64,030 calls.
% 26.16/26.37 ; Retrieved 11,811,242 unifiable terms in 31,124 calls.
% 26.16/26.37 ;
% 26.16/26.37 ; The agenda of rows to process has 663 entries:
% 26.16/26.37 ; 4 with value 12 34 with value 22 25 with value 30
% 26.16/26.37 ; 26 with value 15 55 with value 23 38 with value 31
% 26.16/26.37 ; 19 with value 16 47 with value 24 66 with value 32
% 26.16/26.37 ; 29 with value 17 11 with value 25 5 with value 33
% 26.16/26.37 ; 76 with value 18 16 with value 26 1 with value 35
% 26.16/26.37 ; 32 with value 19 16 with value 27 1 with value 37
% 26.16/26.37 ; 45 with value 20 18 with value 28 1 with value 38
% 26.16/26.37 ; 65 with value 21 33 with value 29
% 26.16/26.37 ; The agenda of rows to give has 63440 entries:
% 26.16/26.37 ; 3 with value (4 19) 9554 with value (4 32) 20 with value (4 45)
% 26.16/26.37 ; 87 with value (4 20) 6162 with value (4 33) 10 with value (4 46)
% 26.16/26.37 ; 460 with value (4 21) 3001 with value (4 34) 16 with value (4 47)
% 26.16/26.37 ; 563 with value (4 22) 960 with value (4 35) 7 with value (4 48)
% 26.16/26.37 ; 875 with value (4 23) 170 with value (4 36) 11 with value (4 49)
% 26.16/26.37 ; 1499 with value (4 24) 167 with value (4 37) 11 with value (4 50)
% 26.16/26.37 ; 1886 with value (4 25) 162 with value (4 38) 2 with value (4 51)
% 26.16/26.37 ; 2603 with value (4 26) 104 with value (4 39) 4 with value (4 52)
% 26.16/26.37 ; 4119 with value (4 27) 79 with value (4 40) 17 with value (4 53)
% 26.16/26.37 ; 5030 with value (4 28) 56 with value (4 41) 3 with value (4 55)
% 26.16/26.37 ; 7292 with value (4 29) 35 with value (4 42) 6 with value (4 56)
% 26.16/26.37 ; 9152 with value (4 30) 48 with value (4 43) 2 with value (4 59)
% 26.16/26.37 ; 9256 with value (4 31) 8 with value (4 44)
% 26.16/26.37 Evaluation took:
% 26.16/26.37 25.897 seconds of real time
% 26.16/26.37 24.79376 seconds of user run time
% 26.16/26.37 1.097282 seconds of system run time
% 26.16/26.37 [Run times include 5.747 seconds GC run time.]
% 26.16/26.37 0 calls to %EVAL
% 26.16/26.37 0 page faults and
% 26.16/26.37 1,121,452,896 bytes consed.
% 26.16/26.37 :PROOF-FOUND
% 26.16/26.37 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-04T02:19:46
% 26.16/26.37 :PROOF-FOUND
% 26.16/26.37 *
%------------------------------------------------------------------------------