%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : COL110-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n020.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 : Fri Jul 15 00:41:53 EDT 2022
% Result : Unsatisfiable 0.56s 0.72s
% Output : Refutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 8
% Syntax : Number of clauses : 15 ( 9 unt; 0 nHn; 15 RR)
% Number of literals : 22 ( 0 equ; 8 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 8 con; 0-4 aty)
% Number of variables : 9 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_2,negated_conjecture,
c_in(c_Pair(v_x,v_yb,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(cls_conjecture_3,negated_conjecture,
c_in(c_Pair(v_z,v_wa,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(cls_conjecture_4,negated_conjecture,
( ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_yb,v_wa),X,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_ya,v_w),X,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
cnf(cls_conjecture_5,negated_conjecture,
( c_in(c_Pair(v_ya,v_xb(X),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| ~ c_in(c_Pair(v_x,X,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).
cnf(cls_conjecture_6,negated_conjecture,
( c_in(c_Pair(X,v_xb(X),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| ~ c_in(c_Pair(v_x,X,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_6) ).
cnf(cls_conjecture_7,negated_conjecture,
( c_in(c_Pair(v_w,v_xaa(X),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| ~ c_in(c_Pair(v_z,X,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_7) ).
cnf(cls_conjecture_8,negated_conjecture,
( c_in(c_Pair(X,v_xaa(X),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| ~ c_in(c_Pair(v_z,X,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_8) ).
cnf(cls_Comb_Oparcontract_Ointros__4_0,axiom,
( ~ c_in(c_Pair(X,Y,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| ~ c_in(c_Pair(Z,U,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(Z,X),c_Comb_Ocomb_Oop_A_D_D(U,Y),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Comb_Oparcontract_Ointros__4_0) ).
cnf(9,plain,
c_in(c_Pair(v_ya,v_xb(v_yb),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
inference('HYPERRESOLVE',[status(thm)],[cls_conjecture_5,cls_conjecture_2]) ).
cnf(10,plain,
c_in(c_Pair(v_yb,v_xb(v_yb),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
inference('HYPERRESOLVE',[status(thm)],[cls_conjecture_6,cls_conjecture_2]) ).
cnf(11,plain,
c_in(c_Pair(v_w,v_xaa(v_wa),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
inference('HYPERRESOLVE',[status(thm)],[cls_conjecture_7,cls_conjecture_3]) ).
cnf(12,plain,
c_in(c_Pair(v_wa,v_xaa(v_wa),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
inference('HYPERRESOLVE',[status(thm)],[cls_conjecture_8,cls_conjecture_3]) ).
cnf(33,plain,
c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_ya,v_w),c_Comb_Ocomb_Oop_A_D_D(v_xb(v_yb),v_xaa(v_wa)),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
inference('HYPERRESOLVE',[status(thm)],[cls_Comb_Oparcontract_Ointros__4_0,11,9]) ).
cnf(43,plain,
c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_yb,v_wa),c_Comb_Ocomb_Oop_A_D_D(v_xb(v_yb),v_xaa(v_wa)),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
inference('HYPERRESOLVE',[status(thm)],[cls_Comb_Oparcontract_Ointros__4_0,12,10]) ).
cnf(913,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[cls_conjecture_4,33]),43]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : COL110-2 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n020.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 : Tue May 31 09:25:23 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.47 *
% 0.19/0.47 *
% 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 2022-05-31T09:25:23
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n020.cluster.edu at 2022-05-31T09:25:23
% 0.56/0.72
% 0.56/0.72
% 0.56/0.72 #||
% 0.56/0.72 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.56/0.72 % SZS output start Refutation
% See solution above
% 0.56/0.72 ||#
% 0.56/0.72
% 0.56/0.72 ; Summary of computation:
% 0.56/0.72 ; 1997 formulas have been input or derived (from 38 formulas).
% 0.56/0.72 ; 913 (46%) were retained. Of these,
% 0.56/0.72 ; 913 (100%) are still being kept.
% 0.56/0.72 ;
% 0.56/0.73 ; Run time in seconds excluding printing time:
% 0.56/0.73 ; 0.003 1% Read assertion file (1 call)
% 0.56/0.73 ; 0.000 0% Assert (8 calls)
% 0.56/0.73 ; 0.136 55% Process new row (1,857 calls)
% 0.56/0.73 ; 0.047 19% Resolution (74 calls)
% 0.56/0.73 ; 0.003 1% Paramodulation (37 calls)
% 0.56/0.73 ; 0.000 0% Condensing (6 calls)
% 0.56/0.73 ; 0.001 0% Forward subsumption (6 calls)
% 0.56/0.73 ; 0.001 0% Backward subsumption (6 calls)
% 0.56/0.73 ; 0.000 0% Clause clause subsumption (2 calls)
% 0.56/0.73 ; 0.022 9% Forward simplification (1,857 calls)
% 0.56/0.73 ; 0.009 4% Backward simplification (913 calls)
% 0.56/0.73 ; 0.000 0% Sortal reasoning (32 calls)
% 0.56/0.73 ; 0.000 0% Purity testing (1 call)
% 0.56/0.73 ; 0.027 11% Other
% 0.56/0.73 ; 0.249 Total
% 0.56/0.73 ; 0.251 Real time
% 0.56/0.73 ;
% 0.56/0.73 ; Term-hash-array has 3,021 terms in all.
% 0.56/0.73 ; Feature-vector-row-index has 6 entries (6 at peak, 6 added, 0 deleted).
% 0.56/0.73 ; Feature-vector-row-index has 103 nodes (103 at peak, 103 added, 0 deleted).
% 0.56/0.73 ; Retrieved 0 possibly forward subsuming rows in 6 calls.
% 0.56/0.73 ; Retrieved 2 possibly backward subsumed rows in 6 calls.
% 0.56/0.73 ; Path-index has 3,029 entries (3,029 at peak, 3,029 added, 0 deleted).
% 0.56/0.73 ; Path-index has 335 nodes (335 at peak, 335 added, 0 deleted).
% 0.56/0.73 ; Trie-index has 3,029 entries (3,029 at peak, 3,029 added, 0 deleted).
% 0.56/0.73 ; Trie-index has 25,915 nodes (25,915 at peak, 25,915 added, 0 deleted).
% 0.56/0.73 ; Retrieved 945 generalization terms in 1,863 calls.
% 0.56/0.73 ; Retrieved 906 instance terms in 906 calls.
% 0.56/0.73 ; Retrieved 41,531 unifiable terms in 1,603 calls.
% 0.56/0.73 ;
% 0.56/0.73 ; The agenda of rows to process has 124 entries:
% 0.56/0.73 ; 8 with value 28 16 with value 32 20 with value 34
% 0.56/0.73 ; 16 with value 29 64 with value 33
% 0.56/0.73 ; The agenda of rows to give has 875 entries:
% 0.56/0.73 ; 11 with value (4 22) 160 with value (4 28) 288 with value (4 32)
% 0.56/0.73 ; 16 with value (4 24) 32 with value (4 29) 128 with value (4 33)
% 0.56/0.73 ; 32 with value (4 25) 128 with value (4 31) 16 with value (4 34)
% 0.56/0.73 ; 64 with value (4 27)
% 0.56/0.73 Evaluation took:
% 0.56/0.73 0.252 seconds of real time
% 0.56/0.73 0.23702 seconds of user run time
% 0.56/0.73 0.01517 seconds of system run time
% 0.56/0.73 [Run times include 0.022 seconds GC run time.]
% 0.56/0.73 0 calls to %EVAL
% 0.56/0.73 0 page faults and
% 0.56/0.73 18,565,096 bytes consed.
% 0.56/0.73 :PROOF-FOUND
% 0.56/0.73 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-31T09:25:24
% 0.56/0.73 :PROOF-FOUND
% 0.56/0.73 *
%------------------------------------------------------------------------------