TSTP Solution File: GRP124-9.004 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP124-9.004 : TPTP v8.1.0. Bugfixed v1.2.1.
% 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 : Sat Jul 16 11:36:46 EDT 2022
% Result : Unsatisfiable 0.21s 0.57s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 21
% Syntax : Number of clauses : 51 ( 36 unt; 11 nHn; 49 RR)
% Number of literals : 74 ( 0 equ; 37 neg)
% Maximal clause size : 6 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 20 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(element_1,axiom,
group_element(e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_1) ).
cnf(element_2,axiom,
group_element(e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_2) ).
cnf(element_3,axiom,
group_element(e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_3) ).
cnf(element_4,axiom,
group_element(e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_4) ).
cnf(e_1_is_not_e_2,axiom,
~ equalish(e_1,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_1_is_not_e_2) ).
cnf(e_1_is_not_e_3,axiom,
~ equalish(e_1,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_1_is_not_e_3) ).
cnf(e_1_is_not_e_4,axiom,
~ equalish(e_1,e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_1_is_not_e_4) ).
cnf(e_2_is_not_e_1,axiom,
~ equalish(e_2,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_2_is_not_e_1) ).
cnf(e_2_is_not_e_3,axiom,
~ equalish(e_2,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_2_is_not_e_3) ).
cnf(e_3_is_not_e_1,axiom,
~ equalish(e_3,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_3_is_not_e_1) ).
cnf(e_3_is_not_e_2,axiom,
~ equalish(e_3,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_3_is_not_e_2) ).
cnf(e_3_is_not_e_4,axiom,
~ equalish(e_3,e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_3_is_not_e_4) ).
cnf(e_4_is_not_e_1,axiom,
~ equalish(e_4,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_4_is_not_e_1) ).
cnf(e_4_is_not_e_3,axiom,
~ equalish(e_4,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_4_is_not_e_3) ).
cnf(product1_total_function1,axiom,
( ~ group_element(X)
| ~ group_element(Y)
| product1(X,Y,e_1)
| product1(X,Y,e_2)
| product1(X,Y,e_3)
| product1(X,Y,e_4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product1_total_function1) ).
cnf(product1_right_cancellation,axiom,
( ~ product1(X,Y,Z)
| ~ product1(X,U,Z)
| equalish(Y,U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product1_right_cancellation) ).
cnf(product1_left_cancellation,axiom,
( ~ product1(X,Y,Z)
| ~ product1(U,Y,Z)
| equalish(X,U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product1_left_cancellation) ).
cnf(product1_idempotence,axiom,
product1(X,X,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product1_idempotence) ).
cnf(product2_total_function2,axiom,
( ~ product2(X,Y,Z)
| ~ product2(X,Y,U)
| equalish(Z,U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product2_total_function2) ).
cnf(product2_idempotence,axiom,
product2(X,X,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product2_idempotence) ).
cnf(qg2a,negated_conjecture,
( ~ product1(X,Y,Z)
| ~ product1(Z,X,U)
| product2(U,Y,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',qg2a) ).
cnf(41,plain,
~ product1(e_4,e_1,e_4),
inference('UR-RESOLVE',[status(thm)],[product1_right_cancellation,product1_idempotence,e_1_is_not_e_4]) ).
cnf(44,plain,
~ product1(e_3,e_1,e_3),
inference('UR-RESOLVE',[status(thm)],[product1_right_cancellation,product1_idempotence,e_1_is_not_e_3]) ).
cnf(45,plain,
~ product1(e_3,e_2,e_3),
inference('UR-RESOLVE',[status(thm)],[product1_right_cancellation,product1_idempotence,e_2_is_not_e_3]) ).
cnf(46,plain,
~ product1(e_3,e_4,e_3),
inference('UR-RESOLVE',[status(thm)],[product1_right_cancellation,product1_idempotence,e_4_is_not_e_3]) ).
cnf(47,plain,
~ product1(e_2,e_1,e_2),
inference('UR-RESOLVE',[status(thm)],[product1_right_cancellation,product1_idempotence,e_1_is_not_e_2]) ).
cnf(48,plain,
~ product1(e_2,e_3,e_2),
inference('UR-RESOLVE',[status(thm)],[product1_right_cancellation,product1_idempotence,e_3_is_not_e_2]) ).
cnf(55,plain,
~ product1(e_3,e_4,e_4),
inference('UR-RESOLVE',[status(thm)],[product1_left_cancellation,product1_idempotence,e_3_is_not_e_4]) ).
cnf(57,plain,
~ product1(e_2,e_3,e_3),
inference('UR-RESOLVE',[status(thm)],[product1_left_cancellation,product1_idempotence,e_2_is_not_e_3]) ).
cnf(60,plain,
~ product1(e_3,e_2,e_2),
inference('UR-RESOLVE',[status(thm)],[product1_left_cancellation,product1_idempotence,e_3_is_not_e_2]) ).
cnf(62,plain,
~ product1(e_2,e_1,e_1),
inference('UR-RESOLVE',[status(thm)],[product1_left_cancellation,product1_idempotence,e_2_is_not_e_1]) ).
cnf(63,plain,
~ product1(e_3,e_1,e_1),
inference('UR-RESOLVE',[status(thm)],[product1_left_cancellation,product1_idempotence,e_3_is_not_e_1]) ).
cnf(64,plain,
~ product1(e_4,e_1,e_1),
inference('UR-RESOLVE',[status(thm)],[product1_left_cancellation,product1_idempotence,e_4_is_not_e_1]) ).
cnf(67,plain,
~ product2(e_4,e_4,e_3),
inference('UR-RESOLVE',[status(thm)],[product2_total_function2,product2_idempotence,e_3_is_not_e_4]) ).
cnf(74,plain,
~ product2(e_1,e_1,e_2),
inference('UR-RESOLVE',[status(thm)],[product2_total_function2,product2_idempotence,e_2_is_not_e_1]) ).
cnf(75,plain,
~ product2(e_1,e_1,e_3),
inference('UR-RESOLVE',[status(thm)],[product2_total_function2,product2_idempotence,e_3_is_not_e_1]) ).
cnf(76,plain,
~ product2(e_1,e_1,e_4),
inference('UR-RESOLVE',[status(thm)],[product2_total_function2,product2_idempotence,e_4_is_not_e_1]) ).
cnf(103,plain,
( product1(e_4,e_1,e_2)
| product1(e_4,e_1,e_3) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product1_total_function1,element_4,element_1]),41,64]) ).
cnf(104,plain,
( product1(e_3,e_4,e_1)
| product1(e_3,e_4,e_2) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product1_total_function1,element_3,element_4]),55,46]) ).
cnf(105,plain,
( product1(e_3,e_2,e_1)
| product1(e_3,e_2,e_4) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product1_total_function1,element_3,element_2]),45,60]) ).
cnf(106,plain,
( product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_4) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product1_total_function1,element_3,element_1]),44,63]) ).
cnf(108,plain,
( product1(e_2,e_3,e_1)
| product1(e_2,e_3,e_4) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product1_total_function1,element_2,element_3]),57,48]) ).
cnf(109,plain,
( product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_4) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product1_total_function1,element_2,element_1]),47,62]) ).
cnf(129,plain,
( product1(e_3,e_1,e_2)
| product1(e_3,e_2,e_1) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product1_right_cancellation,106,105]),e_1_is_not_e_2]) ).
cnf(134,plain,
( product1(e_2,e_3,e_1)
| product1(e_3,e_4,e_1) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[qg2a,108,104]),67]) ).
cnf(135,plain,
( product1(e_2,e_1,e_3)
| product1(e_3,e_1,e_2) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product1_left_cancellation,109,106]),e_2_is_not_e_3]) ).
cnf(179,plain,
( product1(e_2,e_3,e_1)
| product1(e_4,e_1,e_2) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[qg2a,134,103]),76]) ).
cnf(180,plain,
product1(e_3,e_1,e_2),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[qg2a,135,129]),74]) ).
cnf(181,plain,
~ product1(e_2,e_3,e_1),
inference('UR-RESOLVE',[status(thm)],[qg2a,180,75]) ).
cnf(191,plain,
product1(e_4,e_1,e_2),
inference('REWRITE',[status(thm)],[179,181]) ).
cnf(192,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[product1_left_cancellation,180,e_3_is_not_e_4]),191]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP124-9.004 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.07/0.13 % 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 : Mon Jun 13 11:39:05 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.21/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.47 *
% 0.21/0.47 *
% 0.21/0.47 #<PACKAGE "SNARK-USER">
% 0.21/0.47 *
% 0.21/0.47 SNARK-TPTP-OPTIONS
% 0.21/0.47 *
% 0.21/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.47 (USE-FACTORING :POS)
% 0.21/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.48 *
% 0.21/0.48 "."
% 0.21/0.48 *
% 0.21/0.48 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-13T11:39:05
% 0.21/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n020.cluster.edu at 2022-06-13T11:39:05
% 0.21/0.49 WARNING:
% 0.21/0.49 |product| is a 3-ary relation that occurs only positively; disabling rows that contain it.
% 0.21/0.57
% 0.21/0.57
% 0.21/0.57 #||
% 0.21/0.57 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.57 % SZS output start Refutation
% See solution above
% 0.21/0.57 ||#
% 0.21/0.57
% 0.21/0.57 ; Summary of computation:
% 0.21/0.57 ; 675 formulas have been input or derived (from 135 formulas).
% 0.21/0.57 ; 192 (28%) were retained. Of these,
% 0.21/0.57 ; 59 (31%) were simplified or subsumed later,
% 0.21/0.57 ; 133 (69%) are still being kept.
% 0.21/0.57 ;
% 0.21/0.57 ; Run time in seconds excluding printing time:
% 0.21/0.57 ; 0.004 4% Read assertion file (1 call)
% 0.21/0.57 ; 0.001 1% Assert (29 calls)
% 0.21/0.57 ; 0.010 11% Process new row (600 calls)
% 0.21/0.57 ; 0.026 28% Resolution (268 calls)
% 0.21/0.57 ; 0.000 0% Paramodulation (134 calls)
% 0.21/0.57 ; 0.000 0% Factoring (33 calls)
% 0.21/0.57 ; 0.002 2% Condensing (152 calls)
% 0.21/0.57 ; 0.006 6% Forward subsumption (152 calls)
% 0.21/0.57 ; 0.004 4% Backward subsumption (89 calls)
% 0.21/0.57 ; 0.003 3% Clause clause subsumption (1,063 calls)
% 0.21/0.57 ; 0.006 6% Forward simplification (577 calls)
% 0.21/0.57 ; 0.002 2% Backward simplification (192 calls)
% 0.21/0.57 ; 0.003 3% Ordering (316 calls)
% 0.21/0.57 ; 0.000 0% Sortal reasoning (32 calls)
% 0.21/0.57 ; 0.001 1% Purity testing (1 call)
% 0.21/0.57 ; 0.025 27% Other
% 0.21/0.57 ; 0.093 Total
% 0.21/0.57 ; 0.098 Real time
% 0.21/0.57 ;
% 0.21/0.57 ; Term-hash-array has 162 terms in all.
% 0.21/0.57 ; Feature-vector-row-index has 30 entries (84 at peak, 89 added, 59 deleted).
% 0.21/0.57 ; Feature-vector-row-index has 79 nodes (144 at peak, 159 added, 80 deleted).
% 0.21/0.57 ; Retrieved 946 possibly forward subsuming rows in 152 calls.
% 0.21/0.57 ; Retrieved 364 possibly backward subsumed rows in 89 calls.
% 0.21/0.57 ; Path-index has 157 entries (166 at peak, 167 added, 10 deleted).
% 0.21/0.57 ; Path-index has 62 nodes (62 at peak, 62 added, 0 deleted).
% 0.21/0.57 ; Trie-index has 157 entries (166 at peak, 167 added, 10 deleted).
% 0.21/0.57 ; Trie-index has 197 nodes (206 at peak, 207 added, 10 deleted).
% 0.21/0.57 ; Retrieved 1,099 generalization terms in 1,124 calls.
% 0.21/0.57 ; Retrieved 133 instance terms in 102 calls.
% 0.21/0.57 ; Retrieved 6,661 unifiable terms in 1,849 calls.
% 0.21/0.57 ;
% 0.21/0.57 ; The agenda of rows to process has 23 entries:
% 0.21/0.57 ; 17 with value 9 4 with value 13 2 with value 14
% 0.21/0.57 ; The agenda of rows to give has 17 entries:
% 0.21/0.57 ; 1 with value (4 6) 4 with value (4 8) 6 with value (4 12)
% 0.21/0.57 ; 4 with value (4 7) 1 with value (4 9) 1 with value (4 13)
% 0.21/0.57 Evaluation took:
% 0.21/0.57 0.099 seconds of real time
% 0.21/0.57 0.077501 seconds of user run time
% 0.21/0.57 0.020912 seconds of system run time
% 0.21/0.57 0 calls to %EVAL
% 0.21/0.57 0 page faults and
% 0.21/0.57 7,391,384 bytes consed.
% 0.21/0.57 :PROOF-FOUND
% 0.21/0.57 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-13T11:39:05
% 0.21/0.58 :PROOF-FOUND
% 0.21/0.58 *
%------------------------------------------------------------------------------