%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP124-8.004 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n013.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 0.20s 0.58s
% Output : Refutation 0.41s
% 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/sandbox/benchmark/theBenchmark.p',element_1) ).
cnf(element_2,axiom,
group_element(e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_2) ).
cnf(element_3,axiom,
group_element(e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_3) ).
cnf(element_4,axiom,
group_element(e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_4) ).
cnf(e_1_is_not_e_2,axiom,
~ equalish(e_1,e_2),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',product1_left_cancellation) ).
cnf(product1_idempotence,axiom,
product1(X,X,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product1_idempotence) ).
cnf(product2_total_function2,axiom,
( ~ product2(X,Y,Z)
| ~ product2(X,Y,U)
| equalish(Z,U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product2_total_function2) ).
cnf(product2_idempotence,axiom,
product2(X,X,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product2_idempotence) ).
cnf(qg2a,negated_conjecture,
( ~ product1(X,Y,Z)
| ~ product1(Z,X,U)
| product2(U,Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg2a) ).
cnf(61,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(64,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(65,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(66,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(67,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(68,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(75,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(77,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(80,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(82,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(83,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(84,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(87,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(94,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(95,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(96,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(131,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]),61,84]) ).
cnf(132,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]),75,66]) ).
cnf(133,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]),65,80]) ).
cnf(134,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]),64,83]) ).
cnf(136,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]),77,68]) ).
cnf(137,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]),67,82]) ).
cnf(157,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,134,133]),e_1_is_not_e_2]) ).
cnf(162,plain,
( product1(e_2,e_3,e_1)
| product1(e_3,e_4,e_1) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[qg2a,136,132]),87]) ).
cnf(163,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,137,134]),e_2_is_not_e_3]) ).
cnf(207,plain,
( product1(e_2,e_3,e_1)
| product1(e_4,e_1,e_2) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[qg2a,162,131]),96]) ).
cnf(208,plain,
product1(e_3,e_1,e_2),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[qg2a,163,157]),94]) ).
cnf(209,plain,
~ product1(e_2,e_3,e_1),
inference('UR-RESOLVE',[status(thm)],[qg2a,208,95]) ).
cnf(219,plain,
product1(e_4,e_1,e_2),
inference('REWRITE',[status(thm)],[207,209]) ).
cnf(220,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[product1_left_cancellation,208,e_3_is_not_e_4]),219]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP124-8.004 : TPTP v8.1.0. Released v1.2.0.
% 0.07/0.14 % Command : run-snark %s %d
% 0.13/0.35 % Computer : n013.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Mon Jun 13 23:21:29 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.47 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.48 *
% 0.20/0.48 *
% 0.20/0.49 #<PACKAGE "SNARK-USER">
% 0.20/0.49 *
% 0.20/0.49 SNARK-TPTP-OPTIONS
% 0.20/0.49 *
% 0.20/0.49 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.49 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.49 (USE-FACTORING :POS)
% 0.20/0.49 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.49 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.49 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.49 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.49 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.49 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.49 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.49 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.49 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.49 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.49 *
% 0.20/0.49 "."
% 0.20/0.49 *
% 0.20/0.49 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-13T23:21:29
% 0.20/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n013.cluster.edu at 2022-06-13T23:21:29
% 0.20/0.51 WARNING:
% 0.20/0.51 |product| is a 3-ary relation that occurs only negatively; disabling rows that contain it.
% 0.20/0.58
% 0.20/0.58
% 0.20/0.58 #||
% 0.20/0.58 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.58 % SZS output start Refutation
% See solution above
% 0.41/0.59 ||#
% 0.41/0.59
% 0.41/0.59 ; Summary of computation:
% 0.41/0.59 ; 708 formulas have been input or derived (from 158 formulas).
% 0.41/0.59 ; 220 (31%) were retained. Of these,
% 0.41/0.59 ; 62 (28%) were simplified or subsumed later,
% 0.41/0.59 ; 158 (72%) are still being kept.
% 0.41/0.59 ;
% 0.41/0.59 ; Run time in seconds excluding printing time:
% 0.41/0.59 ; 0.006 7% Read assertion file (1 call)
% 0.41/0.59 ; 0.002 2% Assert (48 calls)
% 0.41/0.59 ; 0.012 13% Process new row (630 calls)
% 0.41/0.59 ; 0.019 21% Resolution (314 calls)
% 0.41/0.59 ; 0.000 0% Paramodulation (157 calls)
% 0.41/0.59 ; 0.001 1% Factoring (34 calls)
% 0.41/0.59 ; 0.001 1% Condensing (161 calls)
% 0.41/0.59 ; 0.007 8% Forward subsumption (161 calls)
% 0.41/0.59 ; 0.002 2% Backward subsumption (98 calls)
% 0.41/0.59 ; 0.001 1% Clause clause subsumption (1,064 calls)
% 0.41/0.59 ; 0.008 9% Forward simplification (607 calls)
% 0.41/0.59 ; 0.002 2% Backward simplification (220 calls)
% 0.41/0.59 ; 0.001 1% Ordering (336 calls)
% 0.41/0.59 ; 0.001 1% Sortal reasoning (32 calls)
% 0.41/0.59 ; 0.000 0% Purity testing (1 call)
% 0.41/0.59 ; 0.028 31% Other
% 0.41/0.59 ; 0.091 Total
% 0.41/0.59 ; 0.095 Real time
% 0.41/0.59 ;
% 0.41/0.59 ; Term-hash-array has 208 terms in all.
% 0.41/0.59 ; Feature-vector-row-index has 37 entries (91 at peak, 98 added, 61 deleted).
% 0.41/0.59 ; Feature-vector-row-index has 112 nodes (177 at peak, 201 added, 89 deleted).
% 0.41/0.59 ; Retrieved 947 possibly forward subsuming rows in 161 calls.
% 0.41/0.59 ; Retrieved 364 possibly backward subsumed rows in 98 calls.
% 0.41/0.59 ; Path-index has 203 entries (212 at peak, 219 added, 16 deleted).
% 0.41/0.59 ; Path-index has 103 nodes (103 at peak, 105 added, 2 deleted).
% 0.41/0.59 ; Trie-index has 203 entries (212 at peak, 219 added, 16 deleted).
% 0.41/0.59 ; Trie-index has 252 nodes (261 at peak, 269 added, 17 deleted).
% 0.41/0.59 ; Retrieved 1,101 generalization terms in 1,174 calls.
% 0.41/0.59 ; Retrieved 155 instance terms in 121 calls.
% 0.41/0.59 ; Retrieved 7,344 unifiable terms in 2,034 calls.
% 0.41/0.59 ;
% 0.41/0.59 ; The agenda of rows to process has 23 entries:
% 0.41/0.59 ; 17 with value 9 4 with value 13 2 with value 14
% 0.41/0.59 ; The agenda of rows to give has 19 entries:
% 0.41/0.59 ; 1 with value (4 6) 1 with value (4 9) 1 with value (4 13)
% 0.41/0.59 ; 4 with value (4 7) 6 with value (4 12) 2 with value (4 17)
% 0.41/0.59 ; 4 with value (4 8)
% 0.41/0.59 Evaluation took:
% 0.41/0.59 0.096 seconds of real time
% 0.41/0.59 0.083766 seconds of user run time
% 0.41/0.59 0.012143 seconds of system run time
% 0.41/0.59 0 calls to %EVAL
% 0.41/0.59 0 page faults and
% 0.41/0.59 7,706,368 bytes consed.
% 0.41/0.59 :PROOF-FOUND
% 0.41/0.59 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-13T23:21:29
% 0.41/0.59 :PROOF-FOUND
% 0.41/0.59 *
%------------------------------------------------------------------------------