%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP123-1.003 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n026.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 11:36:39 EDT 2022
% Result : Unsatisfiable 0.20s 0.52s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 12
% Syntax : Number of clauses : 19 ( 15 unt; 1 nHn; 18 RR)
% Number of literals : 31 ( 0 equ; 18 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 17 ( 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(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_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_2,axiom,
~ equalish(e_3,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_is_not_e_2) ).
cnf(product_total_function1,axiom,
( ~ group_element(X)
| ~ group_element(Y)
| product(X,Y,e_1)
| product(X,Y,e_2)
| product(X,Y,e_3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function1) ).
cnf(product_right_cancellation,axiom,
( ~ product(X,Y,Z)
| ~ product(X,U,Z)
| equalish(Y,U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_right_cancellation) ).
cnf(product_left_cancellation,axiom,
( ~ product(X,Y,Z)
| ~ product(U,Y,Z)
| equalish(X,U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_left_cancellation) ).
cnf(product_idempotence,axiom,
product(X,X,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_idempotence) ).
cnf(qg1_2,negated_conjecture,
( ~ product(X,Y,Z)
| ~ product(U,V,Z)
| ~ product(W,Y,X)
| ~ product(W,V,U)
| equalish(Y,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg1_2) ).
cnf(25,plain,
~ product(e_3,e_2,e_3),
inference('UR-RESOLVE',[status(thm)],[product_right_cancellation,product_idempotence,e_2_is_not_e_3]) ).
cnf(28,plain,
~ product(e_1,e_2,e_1),
inference('UR-RESOLVE',[status(thm)],[product_right_cancellation,product_idempotence,e_2_is_not_e_1]) ).
cnf(32,plain,
~ product(e_1,e_2,e_2),
inference('UR-RESOLVE',[status(thm)],[product_left_cancellation,product_idempotence,e_1_is_not_e_2]) ).
cnf(33,plain,
~ product(e_3,e_2,e_2),
inference('UR-RESOLVE',[status(thm)],[product_left_cancellation,product_idempotence,e_3_is_not_e_2]) ).
cnf(36,plain,
product(e_3,e_2,e_1),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_total_function1,element_3,element_2]),25,33]) ).
cnf(41,plain,
product(e_1,e_2,e_3),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_total_function1,element_1,element_2]),32,28]) ).
cnf(42,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[qg1_2,36,product_idempotence,product_idempotence,e_2_is_not_e_1]),41]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP123-1.003 : TPTP v8.1.0. Released v1.2.0.
% 0.07/0.14 % Command : run-snark %s %d
% 0.13/0.35 % Computer : n026.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 05:05:50 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 *
% 0.20/0.48 #<PACKAGE "SNARK-USER">
% 0.20/0.48 *
% 0.20/0.48 SNARK-TPTP-OPTIONS
% 0.20/0.48 *
% 0.20/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48 (USE-FACTORING :POS)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48 *
% 0.20/0.49 "."
% 0.20/0.49 *
% 0.20/0.49 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-13T05:05:50
% 0.20/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-06-13T05:05:50
% 0.20/0.52
% 0.20/0.52
% 0.20/0.52 #||
% 0.20/0.52 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.52 % SZS output start Refutation
% See solution above
% 0.20/0.52 ||#
% 0.20/0.52
% 0.20/0.52 ; Summary of computation:
% 0.20/0.52 ; 124 formulas have been input or derived (from 37 formulas).
% 0.20/0.52 ; 42 (34%) were retained. Of these,
% 0.20/0.52 ; 42 (100%) are still being kept.
% 0.20/0.52 ;
% 0.20/0.52 ; Run time in seconds excluding printing time:
% 0.20/0.52 ; 0.003 8% Read assertion file (1 call)
% 0.20/0.52 ; 0.001 3% Assert (16 calls)
% 0.20/0.52 ; 0.002 5% Process new row (93 calls)
% 0.20/0.52 ; 0.006 16% Resolution (72 calls)
% 0.20/0.52 ; 0.001 3% Paramodulation (36 calls)
% 0.20/0.52 ; 0.000 0% Condensing (6 calls)
% 0.20/0.52 ; 0.001 3% Forward subsumption (6 calls)
% 0.20/0.52 ; 0.000 0% Backward subsumption (6 calls)
% 0.20/0.52 ; 0.000 0% Clause clause subsumption (14 calls)
% 0.20/0.52 ; 0.001 3% Forward simplification (93 calls)
% 0.20/0.52 ; 0.000 0% Backward simplification (42 calls)
% 0.20/0.52 ; 0.000 0% Sortal reasoning (32 calls)
% 0.20/0.52 ; 0.000 0% Purity testing (1 call)
% 0.20/0.52 ; 0.022 59% Other
% 0.20/0.52 ; 0.037 Total
% 0.20/0.52 ; 0.038 Real time
% 0.20/0.52 ;
% 0.20/0.52 ; Term-hash-array has 51 terms in all.
% 0.20/0.52 ; Feature-vector-row-index has 6 entries (6 at peak, 6 added, 0 deleted).
% 0.20/0.52 ; Feature-vector-row-index has 9 nodes (9 at peak, 9 added, 0 deleted).
% 0.20/0.52 ; Retrieved 10 possibly forward subsuming rows in 6 calls.
% 0.20/0.52 ; Retrieved 4 possibly backward subsumed rows in 6 calls.
% 0.20/0.52 ; Path-index has 54 entries (54 at peak, 54 added, 0 deleted).
% 0.20/0.52 ; Path-index has 36 nodes (36 at peak, 36 added, 0 deleted).
% 0.20/0.52 ; Trie-index has 54 entries (54 at peak, 54 added, 0 deleted).
% 0.20/0.52 ; Trie-index has 64 nodes (64 at peak, 64 added, 0 deleted).
% 0.20/0.52 ; Retrieved 102 generalization terms in 117 calls.
% 0.20/0.52 ; Retrieved 52 instance terms in 35 calls.
% 0.20/0.52 ; Retrieved 2,330 unifiable terms in 542 calls.
% 0.20/0.52 ;
% 0.20/0.52 ; The agenda of rows to process has 13 entries:
% 0.20/0.52 ; 13 with value 7
% 0.20/0.52 ; The agenda of rows to give has 5 entries:
% 0.20/0.52 ; 5 with value (4 6)
% 0.20/0.52 Evaluation took:
% 0.20/0.52 0.039 seconds of real time
% 0.20/0.52 0.035462 seconds of user run time
% 0.20/0.52 0.003367 seconds of system run time
% 0.20/0.52 0 calls to %EVAL
% 0.20/0.52 0 page faults and
% 0.20/0.52 2,714,312 bytes consed.
% 0.20/0.52 :PROOF-FOUND
% 0.20/0.52 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-13T05:05:51
% 0.20/0.52 :PROOF-FOUND
% 0.20/0.52 *
%------------------------------------------------------------------------------