%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP439-1 : TPTP v8.1.0. Released v2.6.0.
% 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 : Sat Jul 16 11:38:52 EDT 2022
% Result : Unsatisfiable 3.99s 4.20s
% Output : Refutation 3.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 2
% Syntax : Number of clauses : 24 ( 24 unt; 0 nHn; 2 RR)
% Number of literals : 24 ( 23 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 12 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 93 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
inverse(multiply(X,multiply(Y,multiply(multiply(inverse(Y),Z),inverse(multiply(U,multiply(X,Z))))))) = U,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
cnf(prove_these_axioms_1,negated_conjecture,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_1) ).
cnf(3,plain,
inverse(multiply(X,multiply(Y,multiply(multiply(inverse(Y),multiply(multiply(inverse(X),Z),inverse(multiply(U,multiply(V,Z))))),U)))) = V,
inference('PARAMODULATE',[status(thm)],[single_axiom,single_axiom,theory(equality)]) ).
cnf(4,plain,
inverse(multiply(X,multiply(multiply(Y,multiply(Z,multiply(multiply(inverse(Z),U),inverse(multiply(V,multiply(Y,U)))))),multiply(multiply(V,W),inverse(multiply(X1,multiply(X,W))))))) = X1,
inference('PARAMODULATE',[status(thm)],[single_axiom,single_axiom,theory(equality)]) ).
cnf(5,plain,
inverse(multiply(X,multiply(Y,multiply(multiply(inverse(Y),multiply(multiply(inverse(X),multiply(multiply(inverse(Z),U),inverse(multiply(V,multiply(W,U))))),V)),W)))) = Z,
inference('PARAMODULATE',[status(thm)],[single_axiom,3,theory(equality)]) ).
cnf(12,plain,
inverse(multiply(X,multiply(Y,multiply(multiply(inverse(Y),multiply(multiply(inverse(X),multiply(multiply(Z,U),inverse(multiply(V,multiply(W,U))))),V)),W)))) = multiply(X1,multiply(Y1,multiply(multiply(inverse(Y1),Z1),inverse(multiply(Z,multiply(X1,Z1)))))),
inference('PARAMODULATE',[status(thm)],[3,4,theory(equality)]) ).
cnf(292,plain,
multiply(X,multiply(Y,multiply(multiply(inverse(Y),Z),inverse(multiply(inverse(U),multiply(X,Z)))))) = U,
inference('PARAMODULATE',[status(thm)],[5,12,theory(equality)]) ).
cnf(406,plain,
multiply(X,multiply(Y,multiply(multiply(inverse(Y),multiply(Z,multiply(multiply(inverse(Z),U),inverse(multiply(inverse(V),multiply(X,U)))))),inverse(multiply(inverse(W),V))))) = W,
inference('PARAMODULATE',[status(thm)],[292,292,theory(equality)]) ).
cnf(614,plain,
multiply(inverse(X),multiply(X,multiply(Y,inverse(multiply(inverse(Z),Y))))) = Z,
inference('PARAMODULATE',[status(thm)],[406,292,theory(equality)]) ).
cnf(739,plain,
multiply(X,multiply(Y,multiply(multiply(inverse(Y),multiply(Z,inverse(multiply(inverse(U),Z)))),inverse(U)))) = X,
inference('PARAMODULATE',[status(thm)],[292,614,theory(equality)]) ).
cnf(755,plain,
multiply(X,multiply(Y,multiply(inverse(Y),inverse(multiply(inverse(Z),X))))) = Z,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[406,614,theory(equality)]),739,theory(equality)]) ).
cnf(828,plain,
multiply(multiply(X,multiply(Y,inverse(multiply(inverse(Z),Y)))),multiply(U,multiply(inverse(U),inverse(Z)))) = X,
inference('PARAMODULATE',[status(thm)],[755,614,theory(equality)]) ).
cnf(930,plain,
multiply(multiply(X,multiply(Y,inverse(multiply(Z,Y)))),multiply(U,multiply(inverse(U),Z))) = X,
inference('PARAMODULATE',[status(thm)],[828,3,theory(equality)]) ).
cnf(1017,plain,
multiply(X,multiply(Y,multiply(multiply(inverse(Y),multiply(Z,inverse(multiply(U,Z)))),U))) = X,
inference('PARAMODULATE',[status(thm)],[739,3,theory(equality)]) ).
cnf(1030,plain,
inverse(multiply(X,multiply(Y,multiply(inverse(Y),inverse(multiply(Z,X)))))) = Z,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[single_axiom,1017,theory(equality)]),1017,theory(equality)]) ).
cnf(1110,plain,
inverse(multiply(multiply(X,multiply(inverse(X),inverse(multiply(Y,Z)))),multiply(U,multiply(inverse(U),Y)))) = Z,
inference('PARAMODULATE',[status(thm)],[1030,1030,theory(equality)]) ).
cnf(1115,plain,
inverse(multiply(multiply(X,multiply(inverse(X),Y)),multiply(Z,multiply(inverse(Z),inverse(U))))) = multiply(U,multiply(V,inverse(multiply(Y,V)))),
inference('PARAMODULATE',[status(thm)],[1030,930,theory(equality)]) ).
cnf(2998,plain,
multiply(X,multiply(Y,inverse(multiply(inverse(multiply(inverse(X),Z)),Y)))) = Z,
inference('PARAMODULATE',[status(thm)],[1110,1115,theory(equality)]) ).
cnf(3000,plain,
multiply(multiply(X,multiply(Y,multiply(inverse(Y),Z))),multiply(U,inverse(multiply(Z,U)))) = X,
inference('PARAMODULATE',[status(thm)],[1030,1115,theory(equality)]) ).
cnf(3742,plain,
multiply(inverse(multiply(X,multiply(Y,multiply(inverse(Y),inverse(Z))))),X) = Z,
inference('PARAMODULATE',[status(thm)],[614,3000,theory(equality)]) ).
cnf(3920,plain,
multiply(inverse(multiply(X,Y)),X) = multiply(inverse(multiply(inverse(Z),Y)),inverse(Z)),
inference('PARAMODULATE',[status(thm)],[3742,2998,theory(equality)]) ).
cnf(4364,plain,
multiply(inverse(multiply(X,Y)),X) = multiply(inverse(multiply(Z,Y)),Z),
inference('PARAMODULATE',[status(thm)],[3920,3920,theory(equality)]) ).
cnf(4417,plain,
multiply(inverse(X),X) = multiply(inverse(Y),Y),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[4364,1017,theory(equality)]),1017,theory(equality)]) ).
cnf(4418,plain,
$false,
inference('REWRITE',[status(thm)],[prove_these_axioms_1,4417,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GRP439-1 : TPTP v8.1.0. Released v2.6.0.
% 0.12/0.13 % Command : run-snark %s %d
% 0.13/0.33 % Computer : n020.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Tue Jun 14 00:47:20 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.44 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45 *
% 0.19/0.45 *
% 0.19/0.46 #<PACKAGE "SNARK-USER">
% 0.19/0.46 *
% 0.19/0.46 SNARK-TPTP-OPTIONS
% 0.19/0.46 *
% 0.19/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46 (USE-FACTORING :POS)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46 *
% 0.19/0.46 "."
% 0.19/0.46 *
% 0.19/0.46 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-14T00:47:20
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n020.cluster.edu at 2022-06-14T00:47:20
% 3.99/4.20
% 3.99/4.20
% 3.99/4.20 #||
% 3.99/4.20 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.99/4.20 % SZS output start Refutation
% See solution above
% 3.99/4.20 ||#
% 3.99/4.20
% 3.99/4.20 ; Summary of computation:
% 3.99/4.20 ; 8477 formulas have been input or derived (from 51 formulas).
% 3.99/4.20 ; 4418 (52%) were retained. Of these,
% 3.99/4.20 ; 125 ( 3%) were simplified or subsumed later,
% 3.99/4.20 ; 4293 (97%) are still being kept.
% 3.99/4.20 ;
% 3.99/4.20 ; Run time in seconds excluding printing time:
% 3.99/4.20 ; 0.001 0% Read assertion file (1 call)
% 3.99/4.20 ; 0.000 0% Assert (2 calls)
% 3.99/4.20 ; 1.486 40% Process new row (8,159 calls)
% 3.99/4.20 ; 0.019 1% Resolution (100 calls)
% 3.99/4.20 ; 0.446 12% Paramodulation (50 calls)
% 3.99/4.20 ; 1.382 37% Forward simplification (7,094 calls)
% 3.99/4.20 ; 0.318 9% Backward simplification (4,418 calls)
% 3.99/4.20 ; 0.028 1% Ordering (16,612 calls)
% 3.99/4.20 ; 0.000 0% Sortal reasoning (32 calls)
% 3.99/4.20 ; 0.000 0% Purity testing (1 call)
% 3.99/4.20 ; 0.060 2% Other
% 3.99/4.20 ; 3.740 Total
% 3.99/4.20 ; 3.743 Real time
% 3.99/4.20 ;
% 3.99/4.20 ; Term-hash-array has 30,201 terms in all.
% 3.99/4.20 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 3.99/4.20 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 3.99/4.20 ; Path-index has 29,446 entries (29,453 at peak, 30,229 added, 783 deleted).
% 3.99/4.20 ; Path-index has 45,695 nodes (45,707 at peak, 45,805 added, 110 deleted).
% 3.99/4.20 ; Trie-index has 29,446 entries (29,453 at peak, 30,229 added, 783 deleted).
% 3.99/4.20 ; Trie-index has 225,476 nodes (225,490 at peak, 229,656 added, 4,180 deleted).
% 3.99/4.20 ; Retrieved 10,235 generalization terms in 134,765 calls.
% 3.99/4.20 ; Retrieved 8,945 instance terms in 4,421 calls.
% 3.99/4.20 ; Retrieved 245,451 unifiable terms in 700 calls.
% 3.99/4.20 ;
% 3.99/4.20 ; The agenda of rows to process has 291 entries:
% 3.99/4.20 ; 7 with value 47 6 with value 57 12 with value 67
% 3.99/4.20 ; 10 with value 48 4 with value 58 12 with value 68
% 3.99/4.20 ; 16 with value 49 4 with value 59 8 with value 69
% 3.99/4.20 ; 26 with value 50 14 with value 60 14 with value 70
% 3.99/4.20 ; 30 with value 51 12 with value 61 8 with value 71
% 3.99/4.20 ; 14 with value 52 6 with value 62 6 with value 72
% 3.99/4.20 ; 4 with value 53 6 with value 63 12 with value 73
% 3.99/4.20 ; 2 with value 54 8 with value 64 10 with value 74
% 3.99/4.20 ; 10 with value 55 8 with value 65 6 with value 75
% 3.99/4.20 ; 8 with value 56 6 with value 66 2 with value 79
% 3.99/4.20 ; The agenda of rows to give has 4248 entries:
% 3.99/4.20 ; 1 with value (4 26) 109 with value (4 55) 76 with value (4 78)
% 3.99/4.20 ; 4 with value (4 33) 99 with value (4 56) 84 with value (4 79)
% 3.99/4.20 ; 1 with value (4 34) 106 with value (4 57) 58 with value (4 80)
% 3.99/4.20 ; 6 with value (4 35) 83 with value (4 58) 77 with value (4 81)
% 3.99/4.20 ; 7 with value (4 36) 74 with value (4 59) 54 with value (4 82)
% 3.99/4.20 ; 6 with value (4 37) 104 with value (4 60) 46 with value (4 83)
% 3.99/4.20 ; 10 with value (4 38) 89 with value (4 61) 35 with value (4 84)
% 3.99/4.20 ; 15 with value (4 39) 94 with value (4 62) 17 with value (4 85)
% 3.99/4.20 ; 30 with value (4 40) 114 with value (4 63) 34 with value (4 86)
% 3.99/4.20 ; 36 with value (4 41) 108 with value (4 64) 22 with value (4 87)
% 3.99/4.20 ; 38 with value (4 42) 105 with value (4 65) 25 with value (4 88)
% 3.99/4.20 ; 67 with value (4 43) 98 with value (4 66) 15 with value (4 89)
% 3.99/4.20 ; 62 with value (4 44) 94 with value (4 67) 13 with value (4 90)
% 3.99/4.20 ; 64 with value (4 45) 132 with value (4 68) 10 with value (4 91)
% 3.99/4.20 ; 64 with value (4 46) 132 with value (4 69) 5 with value (4 92)
% 3.99/4.20 ; 97 with value (4 47) 140 with value (4 70) 12 with value (4 93)
% 3.99/4.20 ; 85 with value (4 48) 138 with value (4 71) 10 with value (4 94)
% 3.99/4.20 ; 84 with value (4 49) 109 with value (4 72) 7 with value (4 95)
% 3.99/4.20 ; 94 with value (4 50) 112 with value (4 73) 5 with value (4 96)
% 3.99/4.20 ; 111 with value (4 51) 107 with value (4 74) 1 with value (4 97)
% 3.99/4.20 ; 98 with value (4 52) 111 with value (4 75) 4 with value (4 98)
% 3.99/4.20 ; 100 with value (4 53) 107 with value (4 76) 1 with value (4 99)
% 3.99/4.20 ; 91 with value (4 54) 99 with value (4 77) 2 with value (4 100)
% 3.99/4.20 Evaluation took:
% 3.99/4.20 3.744 seconds of real time
% 3.99/4.20 3.53633 seconds of user run time
% 3.99/4.20 0.207941 seconds of system run time
% 3.99/4.20 [Run times include 0.715 seconds GC run time.]
% 3.99/4.20 0 calls to %EVAL
% 3.99/4.20 0 page faults and
% 3.99/4.20 205,342,992 bytes consed.
% 3.99/4.20 :PROOF-FOUND
% 3.99/4.20 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-14T00:47:23
% 3.99/4.20 :PROOF-FOUND
% 3.99/4.20 *
%------------------------------------------------------------------------------