%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP123-8.003 : 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 11:36:41 EDT 2022
% Result : Unsatisfiable 0.21s 0.53s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 14
% Syntax : Number of clauses : 22 ( 17 unt; 1 nHn; 20 RR)
% Number of literals : 34 ( 0 equ; 19 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 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(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_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_2,axiom,
~ equalish(e_3,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_3_is_not_e_2) ).
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) ),
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(qg1a,negated_conjecture,
( ~ product1(X,Y,Z)
| ~ product1(Z,Y,U)
| product2(U,X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',qg1a) ).
cnf(44,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(47,plain,
~ product1(e_1,e_2,e_1),
inference('UR-RESOLVE',[status(thm)],[product1_right_cancellation,product1_idempotence,e_2_is_not_e_1]) ).
cnf(51,plain,
~ product1(e_1,e_2,e_2),
inference('UR-RESOLVE',[status(thm)],[product1_left_cancellation,product1_idempotence,e_1_is_not_e_2]) ).
cnf(52,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(56,plain,
~ product2(e_3,e_3,e_2),
inference('UR-RESOLVE',[status(thm)],[product2_total_function2,product2_idempotence,e_2_is_not_e_3]) ).
cnf(75,plain,
product1(e_3,e_2,e_1),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product1_total_function1,element_3,element_2]),44,52]) ).
cnf(80,plain,
product1(e_1,e_2,e_3),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product1_total_function1,element_1,element_2]),51,47]) ).
cnf(90,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[qg1a,75,56]),80]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP123-8.003 : TPTP v8.1.0. Released v1.2.0.
% 0.14/0.13 % Command : run-snark %s %d
% 0.14/0.35 % Computer : n013.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Mon Jun 13 05:09:14 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.47 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.48 *
% 0.21/0.48 *
% 0.21/0.48 #<PACKAGE "SNARK-USER">
% 0.21/0.48 *
% 0.21/0.48 SNARK-TPTP-OPTIONS
% 0.21/0.48 *
% 0.21/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.48 (USE-FACTORING :POS)
% 0.21/0.48 (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 *
% 0.21/0.49 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-13T05:09:14
% 0.21/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n013.cluster.edu at 2022-06-13T05:09:14
% 0.21/0.50 WARNING:
% 0.21/0.50 |product| is a 3-ary relation that occurs only negatively; disabling rows that contain it.
% 0.21/0.53
% 0.21/0.53
% 0.21/0.53 #||
% 0.21/0.53 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.53 % SZS output start Refutation
% See solution above
% 0.21/0.53 ||#
% 0.21/0.53
% 0.21/0.53 ; Summary of computation:
% 0.21/0.53 ; 212 formulas have been input or derived (from 75 formulas).
% 0.21/0.53 ; 90 (42%) were retained. Of these,
% 0.21/0.53 ; 2 ( 2%) were simplified or subsumed later,
% 0.21/0.53 ; 88 (98%) are still being kept.
% 0.21/0.53 ;
% 0.21/0.53 ; Run time in seconds excluding printing time:
% 0.21/0.53 ; 0.005 11% Read assertion file (1 call)
% 0.21/0.53 ; 0.001 2% Assert (36 calls)
% 0.21/0.53 ; 0.005 11% Process new row (180 calls)
% 0.21/0.53 ; 0.007 15% Resolution (148 calls)
% 0.21/0.53 ; 0.000 0% Paramodulation (74 calls)
% 0.21/0.53 ; 0.000 0% Condensing (16 calls)
% 0.21/0.53 ; 0.000 0% Forward subsumption (16 calls)
% 0.21/0.53 ; 0.001 2% Backward subsumption (16 calls)
% 0.21/0.53 ; 0.000 0% Clause clause subsumption (13 calls)
% 0.21/0.53 ; 0.004 9% Forward simplification (178 calls)
% 0.21/0.53 ; 0.000 0% Backward simplification (90 calls)
% 0.21/0.53 ; 0.000 0% Ordering (10 calls)
% 0.21/0.53 ; 0.000 0% Sortal reasoning (32 calls)
% 0.21/0.53 ; 0.001 2% Purity testing (1 call)
% 0.21/0.53 ; 0.023 49% Other
% 0.21/0.53 ; 0.047 Total
% 0.21/0.53 ; 0.050 Real time
% 0.21/0.53 ;
% 0.21/0.53 ; Term-hash-array has 115 terms in all.
% 0.21/0.53 ; Feature-vector-row-index has 15 entries (15 at peak, 16 added, 1 deleted).
% 0.21/0.53 ; Feature-vector-row-index has 43 nodes (43 at peak, 46 added, 3 deleted).
% 0.21/0.54 ; Retrieved 7 possibly forward subsuming rows in 16 calls.
% 0.21/0.54 ; Retrieved 6 possibly backward subsumed rows in 16 calls.
% 0.21/0.54 ; Path-index has 118 entries (118 at peak, 121 added, 3 deleted).
% 0.21/0.54 ; Path-index has 87 nodes (87 at peak, 89 added, 2 deleted).
% 0.21/0.54 ; Trie-index has 118 entries (118 at peak, 121 added, 3 deleted).
% 0.21/0.54 ; Trie-index has 147 nodes (147 at peak, 151 added, 4 deleted).
% 0.21/0.54 ; Retrieved 176 generalization terms in 225 calls.
% 0.21/0.54 ; Retrieved 99 instance terms in 73 calls.
% 0.21/0.54 ; Retrieved 2,757 unifiable terms in 861 calls.
% 0.21/0.54 ;
% 0.21/0.54 ; The agenda of rows to process has 15 entries:
% 0.21/0.54 ; 15 with value 7
% 0.21/0.54 ; The agenda of rows to give has 13 entries:
% 0.21/0.54 ; 11 with value (4 6) 1 with value (4 9) 1 with value (4 13)
% 0.21/0.54 Evaluation took:
% 0.21/0.54 0.051 seconds of real time
% 0.21/0.54 0.047379 seconds of user run time
% 0.21/0.54 0.003365 seconds of system run time
% 0.21/0.54 0 calls to %EVAL
% 0.21/0.54 0 page faults and
% 0.21/0.54 3,299,832 bytes consed.
% 0.21/0.54 :PROOF-FOUND
% 0.21/0.54 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-13T05:09:14
% 0.21/0.54 :PROOF-FOUND
% 0.21/0.54 *
%------------------------------------------------------------------------------