%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : ALG030+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 17:59:41 EDT 2022
% Result : Theorem 1.02s 1.19s
% Output : Refutation 1.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 8
% Syntax : Number of clauses : 18 ( 13 unt; 0 nHn; 18 RR)
% Number of literals : 26 ( 12 equ; 9 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 8 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(3,axiom,
sorti1('SKOLEMAAAV1'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
cnf(4,axiom,
sorti1('SKOLEMAAAV2'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
cnf(5,axiom,
op1('SKOLEMAAAV1','SKOLEMAAAV2') != op1('SKOLEMAAAV2','SKOLEMAAAV1'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
cnf(6,axiom,
( ~ sorti2(X)
| ~ sorti2(Y)
| op2(X,Y) = op2(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
cnf(7,negated_conjecture,
( ~ sorti1(X)
| sorti2(h(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(9,negated_conjecture,
( ~ sorti1(X)
| ~ sorti1(Y)
| h(op1(X,Y)) = op2(h(X),h(Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(10,negated_conjecture,
( ~ sorti2(X)
| ~ sorti2(Y)
| j(op2(X,Y)) = op1(j(X),j(Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(12,negated_conjecture,
( ~ sorti1(X)
| j(h(X)) = X ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(13,plain,
sorti2(h('SKOLEMAAAV2')),
inference('HYPERRESOLVE',[status(thm)],[7,4]) ).
cnf(14,plain,
sorti2(h('SKOLEMAAAV1')),
inference('HYPERRESOLVE',[status(thm)],[7,3]) ).
cnf(15,plain,
j(h('SKOLEMAAAV2')) = 'SKOLEMAAAV2',
inference('HYPERRESOLVE',[status(thm)],[12,4]) ).
cnf(16,plain,
j(h('SKOLEMAAAV1')) = 'SKOLEMAAAV1',
inference('HYPERRESOLVE',[status(thm)],[12,3]) ).
cnf(22,plain,
h(op1('SKOLEMAAAV2','SKOLEMAAAV1')) = op2(h('SKOLEMAAAV2'),h('SKOLEMAAAV1')),
inference('HYPERRESOLVE',[status(thm)],[9,4,3]) ).
cnf(23,plain,
h(op1('SKOLEMAAAV1','SKOLEMAAAV2')) = op2(h('SKOLEMAAAV1'),h('SKOLEMAAAV2')),
inference('HYPERRESOLVE',[status(thm)],[9,3,4]) ).
cnf(30,plain,
h(op1('SKOLEMAAAV1','SKOLEMAAAV2')) = h(op1('SKOLEMAAAV2','SKOLEMAAAV1')),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[6,14,13]),22,23,theory(equality)]) ).
cnf(31,plain,
j(h(op1('SKOLEMAAAV1','SKOLEMAAAV2'))) = op1('SKOLEMAAAV1','SKOLEMAAAV2'),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[10,14,13]),15,16,23,theory(equality)]) ).
cnf(33,plain,
j(h(op1('SKOLEMAAAV2','SKOLEMAAAV1'))) = op1('SKOLEMAAAV2','SKOLEMAAAV1'),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[10,14,13]),16,15,22,theory(equality)]) ).
cnf(4104,plain,
$false,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[31,30,theory(equality)]),5,33,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : ALG030+1 : TPTP v8.1.0. Released v2.7.0.
% 0.04/0.12 % Command : run-snark %s %d
% 0.13/0.33 % Computer : n023.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 : Thu Jun 9 00:51:53 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.18/0.44 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45 *
% 0.18/0.45 *
% 0.18/0.46 #<PACKAGE "SNARK-USER">
% 0.18/0.46 *
% 0.18/0.46 SNARK-TPTP-OPTIONS
% 0.18/0.46 *
% 0.18/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46 (USE-FACTORING :POS)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46 *
% 0.18/0.46 "."
% 0.18/0.46 *
% 0.18/0.46 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-09T00:51:53
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n023.cluster.edu at 2022-06-09T00:51:53
% 1.02/1.19
% 1.02/1.19
% 1.02/1.19 #||
% 1.02/1.19 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.02/1.19 % SZS output start Refutation
% See solution above
% 1.02/1.19 ||#
% 1.02/1.19
% 1.02/1.19 ; Summary of computation:
% 1.02/1.19 ; 9221 formulas have been input or derived (from 80 formulas).
% 1.02/1.19 ; 4104 (45%) were retained. Of these,
% 1.02/1.19 ; 4104 (100%) are still being kept.
% 1.02/1.19 ;
% 1.02/1.19 ; Run time in seconds excluding printing time:
% 1.02/1.19 ; 0.002 0% Read assertion file (1 call)
% 1.02/1.19 ; 0.001 0% Assert (5 calls)
% 1.02/1.19 ; 0.341 47% Process new row (9,066 calls)
% 1.02/1.19 ; 0.158 22% Resolution (158 calls)
% 1.02/1.19 ; 0.001 0% Paramodulation (79 calls)
% 1.02/1.19 ; 0.000 0% Condensing (9 calls)
% 1.02/1.19 ; 0.000 0% Forward subsumption (9 calls)
% 1.02/1.19 ; 0.000 0% Backward subsumption (9 calls)
% 1.02/1.19 ; 0.124 17% Forward simplification (9,066 calls)
% 1.02/1.19 ; 0.034 5% Backward simplification (4,104 calls)
% 1.02/1.19 ; 0.012 2% Ordering (2,246 calls)
% 1.02/1.19 ; 0.000 0% Sortal reasoning (32 calls)
% 1.02/1.19 ; 0.000 0% Purity testing (1 call)
% 1.02/1.19 ; 0.058 8% Other
% 1.02/1.19 ; 0.731 Total
% 1.02/1.19 ; 0.733 Real time
% 1.02/1.19 ;
% 1.02/1.19 ; Term-hash-array has 8,940 terms in all.
% 1.02/1.19 ; Feature-vector-row-index has 9 entries (9 at peak, 9 added, 0 deleted).
% 1.02/1.19 ; Feature-vector-row-index has 39 nodes (39 at peak, 39 added, 0 deleted).
% 1.02/1.19 ; Retrieved 0 possibly forward subsuming rows in 9 calls.
% 1.02/1.19 ; Retrieved 0 possibly backward subsumed rows in 9 calls.
% 1.02/1.19 ; Path-index has 8,942 entries (8,942 at peak, 8,942 added, 0 deleted).
% 1.02/1.19 ; Path-index has 572 nodes (572 at peak, 572 added, 0 deleted).
% 1.02/1.19 ; Trie-index has 8,942 entries (8,942 at peak, 8,942 added, 0 deleted).
% 1.02/1.19 ; Trie-index has 42,671 nodes (42,671 at peak, 42,671 added, 0 deleted).
% 1.02/1.19 ; Retrieved 10,672 generalization terms in 21,259 calls.
% 1.02/1.19 ; Retrieved 4,338 instance terms in 4,094 calls.
% 1.02/1.19 ; Retrieved 187,431 unifiable terms in 5,965 calls.
% 1.02/1.19 ;
% 1.02/1.19 ; The agenda of rows to give has 4024 entries:
% 1.02/1.19 ; 66 with value (4 15) 256 with value (4 22) 256 with value (4 30)
% 1.02/1.19 ; 16 with value (4 16) 256 with value (4 23) 128 with value (4 31)
% 1.02/1.19 ; 192 with value (4 17) 22 with value (4 24) 504 with value (4 34)
% 1.02/1.19 ; 64 with value (4 18) 16 with value (4 25) 256 with value (4 35)
% 1.02/1.19 ; 384 with value (4 19) 96 with value (4 26) 512 with value (4 38)
% 1.02/1.19 ; 152 with value (4 20) 64 with value (4 27) 256 with value (4 42)
% 1.02/1.19 ; 528 with value (4 21)
% 1.02/1.19 Evaluation took:
% 1.02/1.19 0.734 seconds of real time
% 1.02/1.19 0.665532 seconds of user run time
% 1.02/1.19 0.068158 seconds of system run time
% 1.02/1.19 [Run times include 0.062 seconds GC run time.]
% 1.02/1.19 0 calls to %EVAL
% 1.02/1.19 0 page faults and
% 1.02/1.19 57,014,816 bytes consed.
% 1.02/1.19 :PROOF-FOUND
% 1.02/1.19 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-09T00:51:54
% 1.02/1.19 :PROOF-FOUND
% 1.02/1.19 *
%------------------------------------------------------------------------------