TSTP Solution File: ALG071+1 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : ALG071+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n023.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 14 17:59:48 EDT 2022
% Result : Theorem 2.74s 2.92s
% Output : Refutation 2.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 13
% Syntax : Number of clauses : 29 ( 17 unt; 0 nHn; 29 RR)
% Number of literals : 46 ( 18 equ; 19 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-2 aty)
% Number of variables : 16 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ sorti1(X)
| ~ sorti1(Y)
| sorti1(op1(X,Y)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
cnf(2,axiom,
( ~ sorti2(X)
| ~ sorti2(Y)
| sorti2(op2(X,Y)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
cnf(3,axiom,
( ~ sorti1(X)
| sorti1('SKOLEMAAAV1'(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
cnf(4,axiom,
( ~ sorti1(X)
| op1('SKOLEMAAAV1'(X),op1('SKOLEMAAAV1'(X),X)) != X ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
cnf(5,axiom,
( ~ sorti1(X)
| op1(X,op1('SKOLEMAAAV1'(X),X)) = 'SKOLEMAAAV1'(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
cnf(6,axiom,
sorti2('SKOLEMAAAV2'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(7,axiom,
( ~ sorti2(X)
| op2(X,op2(X,'SKOLEMAAAV2')) = 'SKOLEMAAAV2'
| op2('SKOLEMAAAV2',op2(X,'SKOLEMAAAV2')) != X ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(8,negated_conjecture,
( ~ sorti1(X)
| sorti2(h(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
cnf(9,negated_conjecture,
( ~ sorti2(X)
| sorti1(j(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
cnf(10,negated_conjecture,
( ~ sorti1(X)
| ~ sorti1(Y)
| h(op1(X,Y)) = op2(h(X),h(Y)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
cnf(11,negated_conjecture,
( ~ sorti2(X)
| ~ sorti2(Y)
| j(op2(X,Y)) = op1(j(X),j(Y)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
cnf(12,negated_conjecture,
( ~ sorti2(X)
| h(j(X)) = X ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
cnf(13,negated_conjecture,
( ~ sorti1(X)
| j(h(X)) = X ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
cnf(14,plain,
sorti1(j('SKOLEMAAAV2')),
inference('HYPERRESOLVE',[status(thm)],[9,6]) ).
cnf(15,plain,
h(j('SKOLEMAAAV2')) = 'SKOLEMAAAV2',
inference('HYPERRESOLVE',[status(thm)],[12,6]) ).
cnf(18,plain,
sorti1('SKOLEMAAAV1'(j('SKOLEMAAAV2'))),
inference('HYPERRESOLVE',[status(thm)],[3,14]) ).
cnf(23,plain,
op1(j('SKOLEMAAAV2'),op1('SKOLEMAAAV1'(j('SKOLEMAAAV2')),j('SKOLEMAAAV2'))) = 'SKOLEMAAAV1'(j('SKOLEMAAAV2')),
inference('HYPERRESOLVE',[status(thm)],[5,14]) ).
cnf(24,plain,
op1('SKOLEMAAAV1'(j('SKOLEMAAAV2')),op1('SKOLEMAAAV1'(j('SKOLEMAAAV2')),j('SKOLEMAAAV2'))) != j('SKOLEMAAAV2'),
inference('UR-RESOLVE',[status(thm)],[4,14]) ).
cnf(25,plain,
sorti2(h('SKOLEMAAAV1'(j('SKOLEMAAAV2')))),
inference('HYPERRESOLVE',[status(thm)],[8,18]) ).
cnf(27,plain,
sorti1(op1('SKOLEMAAAV1'(j('SKOLEMAAAV2')),j('SKOLEMAAAV2'))),
inference('HYPERRESOLVE',[status(thm)],[1,18,14]) ).
cnf(30,plain,
j(h('SKOLEMAAAV1'(j('SKOLEMAAAV2')))) = 'SKOLEMAAAV1'(j('SKOLEMAAAV2')),
inference('HYPERRESOLVE',[status(thm)],[13,18]) ).
cnf(31,plain,
h(op1('SKOLEMAAAV1'(j('SKOLEMAAAV2')),j('SKOLEMAAAV2'))) = op2(h('SKOLEMAAAV1'(j('SKOLEMAAAV2'))),'SKOLEMAAAV2'),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[10,18,14]),15,theory(equality)]) ).
cnf(55,plain,
sorti2(h(op1('SKOLEMAAAV1'(j('SKOLEMAAAV2')),j('SKOLEMAAAV2')))),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[2,25,6]),31,theory(equality)]) ).
cnf(60,plain,
j(h(op1('SKOLEMAAAV1'(j('SKOLEMAAAV2')),j('SKOLEMAAAV2')))) = op1('SKOLEMAAAV1'(j('SKOLEMAAAV2')),j('SKOLEMAAAV2')),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[11,25,6]),30,31,theory(equality)]) ).
cnf(94,plain,
h('SKOLEMAAAV1'(j('SKOLEMAAAV2'))) = op2('SKOLEMAAAV2',h(op1('SKOLEMAAAV1'(j('SKOLEMAAAV2')),j('SKOLEMAAAV2')))),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[10,27,14]),15,23,theory(equality)]) ).
cnf(96,plain,
h(op1('SKOLEMAAAV1'(j('SKOLEMAAAV2')),op1('SKOLEMAAAV1'(j('SKOLEMAAAV2')),j('SKOLEMAAAV2')))) = op2(h('SKOLEMAAAV1'(j('SKOLEMAAAV2'))),h(op1('SKOLEMAAAV1'(j('SKOLEMAAAV2')),j('SKOLEMAAAV2')))),
inference('HYPERRESOLVE',[status(thm)],[10,27,18]) ).
cnf(488,plain,
j(h(op1('SKOLEMAAAV1'(j('SKOLEMAAAV2')),op1('SKOLEMAAAV1'(j('SKOLEMAAAV2')),j('SKOLEMAAAV2'))))) = op1('SKOLEMAAAV1'(j('SKOLEMAAAV2')),op1('SKOLEMAAAV1'(j('SKOLEMAAAV2')),j('SKOLEMAAAV2'))),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[11,55,25]),60,30,96,theory(equality)]) ).
cnf(10566,plain,
h(op1('SKOLEMAAAV1'(j('SKOLEMAAAV2')),op1('SKOLEMAAAV1'(j('SKOLEMAAAV2')),j('SKOLEMAAAV2')))) = 'SKOLEMAAAV2',
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[7,31,theory(equality)]),94,96,25,theory(equality)]) ).
cnf(10568,plain,
$false,
inference('REWRITE',[status(thm)],[488,24,10566,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : ALG071+1 : TPTP v8.1.0. Released v2.7.0.
% 0.03/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n023.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 : Wed Jun 8 05:34:38 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p 2022-06-08T05:34:38
% 0.18/0.45 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n023.cluster.edu at 2022-06-08T05:34:38
% 2.74/2.92
% 2.74/2.92
% 2.74/2.92 #||
% 2.74/2.92 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.74/2.92 % SZS output start Refutation
% See solution above
% 2.74/2.92 ||#
% 2.74/2.92
% 2.74/2.92 ; Summary of computation:
% 2.74/2.92 ; 21838 formulas have been input or derived (from 112 formulas).
% 2.74/2.92 ; 10568 (48%) were retained. Of these,
% 2.74/2.92 ; 140 ( 1%) were simplified or subsumed later,
% 2.74/2.92 ; 10428 (99%) are still being kept.
% 2.74/2.92 ;
% 2.74/2.92 ; Run time in seconds excluding printing time:
% 2.74/2.92 ; 0.003 0% Read assertion file (1 call)
% 2.74/2.92 ; 0.001 0% Assert (5 calls)
% 2.74/2.92 ; 1.323 54% Process new row (21,540 calls)
% 2.74/2.92 ; 0.418 17% Resolution (222 calls)
% 2.74/2.92 ; 0.006 0% Paramodulation (111 calls)
% 2.74/2.92 ; 0.000 0% Condensing (12 calls)
% 2.74/2.92 ; 0.000 0% Forward subsumption (12 calls)
% 2.74/2.92 ; 0.000 0% Backward subsumption (12 calls)
% 2.74/2.92 ; 0.506 21% Forward simplification (21,540 calls)
% 2.74/2.92 ; 0.083 3% Backward simplification (10,568 calls)
% 2.74/2.92 ; 0.048 2% Ordering (5,301 calls)
% 2.74/2.92 ; 0.000 0% Sortal reasoning (32 calls)
% 2.74/2.92 ; 0.000 0% Purity testing (1 call)
% 2.74/2.92 ; 0.077 3% Other
% 2.74/2.92 ; 2.465 Total
% 2.74/2.92 ; 2.468 Real time
% 2.74/2.92 ;
% 2.74/2.92 ; Term-hash-array has 25,281 terms in all.
% 2.74/2.92 ; Feature-vector-row-index has 12 entries (12 at peak, 12 added, 0 deleted).
% 2.74/2.92 ; Feature-vector-row-index has 65 nodes (65 at peak, 65 added, 0 deleted).
% 2.74/2.92 ; Retrieved 0 possibly forward subsuming rows in 12 calls.
% 2.74/2.92 ; Retrieved 0 possibly backward subsumed rows in 12 calls.
% 2.74/2.92 ; Path-index has 24,870 entries (25,278 at peak, 25,283 added, 413 deleted).
% 2.74/2.92 ; Path-index has 4,239 nodes (4,239 at peak, 4,247 added, 8 deleted).
% 2.74/2.92 ; Trie-index has 24,870 entries (25,278 at peak, 25,283 added, 413 deleted).
% 2.74/2.92 ; Trie-index has 209,485 nodes (213,673 at peak, 213,699 added, 4,214 deleted).
% 2.74/2.92 ; Retrieved 15,427 generalization terms in 159,793 calls.
% 2.74/2.92 ; Retrieved 10,555 instance terms in 10,555 calls.
% 2.74/2.92 ; Retrieved 895,661 unifiable terms in 12,952 calls.
% 2.74/2.92 ;
% 2.74/2.92 ; The agenda of backward simplifiable rows to process has 135 entries:
% 2.74/2.92 ; 135 with value 0
% 2.74/2.92 ; The agenda of rows to give has 10316 entries:
% 2.74/2.92 ; 50 with value (4 22) 20 with value (4 36) 70 with value (4 49)
% 2.74/2.92 ; 78 with value (4 23) 22 with value (4 37) 432 with value (4 50)
% 2.74/2.92 ; 93 with value (4 24) 65 with value (4 38) 61 with value (4 51)
% 2.74/2.92 ; 137 with value (4 25) 33 with value (4 39) 545 with value (4 52)
% 2.74/2.92 ; 205 with value (4 26) 82 with value (4 40) 22 with value (4 53)
% 2.74/2.92 ; 218 with value (4 27) 48 with value (4 41) 696 with value (4 54)
% 2.74/2.92 ; 295 with value (4 28) 102 with value (4 42) 12 with value (4 55)
% 2.74/2.92 ; 429 with value (4 29) 42 with value (4 43) 661 with value (4 56)
% 2.74/2.92 ; 543 with value (4 30) 142 with value (4 44) 10 with value (4 57)
% 2.74/2.92 ; 681 with value (4 31) 70 with value (4 45) 719 with value (4 58)
% 2.74/2.92 ; 741 with value (4 32) 217 with value (4 46) 1 with value (4 59)
% 2.74/2.92 ; 757 with value (4 33) 93 with value (4 47) 419 with value (4 60)
% 2.74/2.92 ; 681 with value (4 34) 280 with value (4 48) 192 with value (4 62)
% 2.74/2.92 ; 352 with value (4 35)
% 2.74/2.92 Evaluation took:
% 2.74/2.92 2.469 seconds of real time
% 2.74/2.92 2.287546 seconds of user run time
% 2.74/2.92 0.18117 seconds of system run time
% 2.74/2.92 [Run times include 0.427 seconds GC run time.]
% 2.74/2.92 0 calls to %EVAL
% 2.74/2.92 0 page faults and
% 2.74/2.92 185,157,792 bytes consed.
% 2.74/2.92 :PROOF-FOUND
% 2.74/2.92 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-08T05:34:41
% 2.74/2.92 :PROOF-FOUND
% 2.74/2.92 *
%------------------------------------------------------------------------------