%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP418-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n018.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 11:38:26 EDT 2022
% Result : Unsatisfiable 1.39s 1.54s
% Output : Refutation 1.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 2
% Syntax : Number of clauses : 23 ( 23 unt; 0 nHn; 2 RR)
% Number of literals : 23 ( 22 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 14 ( 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 : 74 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
inverse(multiply(inverse(multiply(X,inverse(multiply(inverse(Y),inverse(multiply(Z,inverse(multiply(inverse(Z),Z)))))))),multiply(X,Z))) = Y,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
cnf(prove_these_axioms_1,negated_conjecture,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_1) ).
cnf(3,plain,
inverse(multiply(inverse(multiply(X,inverse(multiply(Y,inverse(multiply(Z,inverse(multiply(inverse(Z),Z)))))))),multiply(X,Z))) = multiply(inverse(multiply(U,inverse(multiply(inverse(Y),inverse(multiply(V,inverse(multiply(inverse(V),V)))))))),multiply(U,V)),
inference('PARAMODULATE',[status(thm)],[single_axiom,single_axiom,theory(equality)]) ).
cnf(5,plain,
multiply(inverse(multiply(X,inverse(multiply(inverse(inverse(Y)),inverse(multiply(Z,inverse(multiply(inverse(Z),Z)))))))),multiply(X,Z)) = Y,
inference('PARAMODULATE',[status(thm)],[single_axiom,3,theory(equality)]) ).
cnf(19,plain,
multiply(inverse(multiply(inverse(multiply(X,inverse(multiply(inverse(inverse(Y)),inverse(multiply(Z,inverse(multiply(inverse(Z),Z)))))))),inverse(multiply(inverse(inverse(U)),inverse(multiply(multiply(X,Z),inverse(multiply(inverse(multiply(X,Z)),multiply(X,Z))))))))),Y) = U,
inference('PARAMODULATE',[status(thm)],[5,5,theory(equality)]) ).
cnf(20,plain,
inverse(multiply(inverse(multiply(inverse(multiply(X,inverse(multiply(inverse(inverse(Y)),inverse(multiply(Z,inverse(multiply(inverse(Z),Z)))))))),inverse(multiply(inverse(U),inverse(multiply(multiply(X,Z),inverse(multiply(inverse(multiply(X,Z)),multiply(X,Z))))))))),Y)) = U,
inference('PARAMODULATE',[status(thm)],[single_axiom,5,theory(equality)]) ).
cnf(90,plain,
inverse(multiply(inverse(multiply(X,Y)),multiply(X,Z))) = multiply(inverse(multiply(U,inverse(multiply(inverse(inverse(inverse(multiply(Z,inverse(multiply(inverse(Z),Z)))))),inverse(multiply(V,inverse(multiply(inverse(V),V)))))))),inverse(multiply(inverse(Y),inverse(multiply(multiply(U,V),inverse(multiply(inverse(multiply(U,V)),multiply(U,V)))))))),
inference('PARAMODULATE',[status(thm)],[single_axiom,20,theory(equality)]) ).
cnf(163,plain,
inverse(multiply(inverse(multiply(X,Y)),multiply(X,Z))) = inverse(multiply(inverse(multiply(U,Y)),multiply(U,Z))),
inference('PARAMODULATE',[status(thm)],[90,90,theory(equality)]) ).
cnf(164,plain,
multiply(inverse(inverse(multiply(inverse(multiply(X,inverse(Y))),multiply(X,Z)))),inverse(multiply(Z,inverse(multiply(inverse(Z),Z))))) = Y,
inference('PARAMODULATE',[status(thm)],[19,90,theory(equality)]) ).
cnf(165,plain,
inverse(multiply(inverse(inverse(multiply(inverse(multiply(X,Y)),multiply(X,Z)))),inverse(multiply(Z,inverse(multiply(inverse(Z),Z)))))) = Y,
inference('PARAMODULATE',[status(thm)],[20,90,theory(equality)]) ).
cnf(309,plain,
multiply(inverse(inverse(multiply(inverse(multiply(X,inverse(Y))),multiply(X,multiply(Z,U))))),inverse(multiply(multiply(Z,U),inverse(multiply(inverse(multiply(V,U)),multiply(V,U)))))) = Y,
inference('PARAMODULATE',[status(thm)],[164,163,theory(equality)]) ).
cnf(335,plain,
multiply(inverse(inverse(multiply(X,multiply(inverse(inverse(multiply(inverse(multiply(Y,X)),multiply(Y,Z)))),U)))),inverse(multiply(U,inverse(multiply(inverse(U),U))))) = multiply(Z,inverse(multiply(inverse(Z),Z))),
inference('PARAMODULATE',[status(thm)],[164,165,theory(equality)]) ).
cnf(844,plain,
multiply(multiply(X,Y),inverse(multiply(inverse(multiply(X,Y)),multiply(X,Y)))) = multiply(multiply(X,Y),inverse(multiply(inverse(multiply(Z,Y)),multiply(Z,Y)))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[164,309,theory(equality)]),335,theory(equality)]) ).
cnf(905,plain,
multiply(X,inverse(multiply(inverse(X),X))) = multiply(X,inverse(multiply(inverse(multiply(Y,multiply(Z,U))),multiply(Y,multiply(Z,U))))),
inference('PARAMODULATE',[status(thm)],[844,5,theory(equality)]) ).
cnf(907,plain,
multiply(X,inverse(multiply(inverse(X),X))) = multiply(X,inverse(multiply(inverse(Y),Y))),
inference('PARAMODULATE',[status(thm)],[905,5,theory(equality)]) ).
cnf(908,plain,
multiply(X,inverse(multiply(inverse(Y),Y))) = multiply(X,inverse(multiply(inverse(Z),Z))),
inference('PARAMODULATE',[status(thm)],[907,907,theory(equality)]) ).
cnf(910,plain,
inverse(multiply(inverse(inverse(multiply(inverse(multiply(X,Y)),multiply(X,Z)))),inverse(multiply(Z,inverse(multiply(inverse(U),U)))))) = Y,
inference('PARAMODULATE',[status(thm)],[165,908,theory(equality)]) ).
cnf(911,plain,
multiply(inverse(inverse(multiply(inverse(multiply(X,inverse(Y))),multiply(X,Z)))),inverse(multiply(Z,inverse(multiply(inverse(U),U))))) = Y,
inference('PARAMODULATE',[status(thm)],[164,908,theory(equality)]) ).
cnf(1066,plain,
inverse(multiply(inverse(X),X)) = inverse(multiply(inverse(Y),Y)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[910,908,theory(equality)]),911,theory(equality)]) ).
cnf(1111,plain,
inverse(multiply(inverse(X),X)) = inverse(multiply(inverse(multiply(inverse(Y),Y)),multiply(inverse(Z),Z))),
inference('PARAMODULATE',[status(thm)],[1066,1066,theory(equality)]) ).
cnf(1123,plain,
inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(X),X)),multiply(inverse(Y),Z)))),inverse(multiply(Z,inverse(multiply(inverse(U),U)))))) = Y,
inference('PARAMODULATE',[status(thm)],[910,1066,theory(equality)]) ).
cnf(1198,plain,
multiply(inverse(X),X) = multiply(inverse(Y),Y),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[910,1111,theory(equality)]),1123,theory(equality)]) ).
cnf(1199,plain,
$false,
inference('REWRITE',[status(thm)],[prove_these_axioms_1,1198,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP418-1 : TPTP v8.1.0. Released v2.6.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n018.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 : Tue Jun 14 08:33:58 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.46 *
% 0.20/0.46 *
% 0.20/0.47 #<PACKAGE "SNARK-USER">
% 0.20/0.47 *
% 0.20/0.47 SNARK-TPTP-OPTIONS
% 0.20/0.47 *
% 0.20/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47 (USE-FACTORING :POS)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47 *
% 0.20/0.47 "."
% 0.20/0.47 *
% 0.20/0.47 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-14T08:33:58
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n018.cluster.edu at 2022-06-14T08:33:58
% 1.39/1.54
% 1.39/1.54
% 1.39/1.54 #||
% 1.39/1.54 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.39/1.54 % SZS output start Refutation
% See solution above
% 1.39/1.57 ||#
% 1.39/1.57
% 1.39/1.57 ; Summary of computation:
% 1.39/1.57 ; 4725 formulas have been input or derived (from 35 formulas).
% 1.39/1.57 ; 1199 (25%) were retained. Of these,
% 1.39/1.57 ; 137 (11%) were simplified or subsumed later,
% 1.39/1.57 ; 1062 (89%) are still being kept.
% 1.39/1.57 ;
% 1.39/1.57 ; Run time in seconds excluding printing time:
% 1.39/1.57 ; 0.001 0% Read assertion file (1 call)
% 1.39/1.57 ; 0.000 0% Assert (2 calls)
% 1.39/1.57 ; 0.429 40% Process new row (4,615 calls)
% 1.39/1.57 ; 0.002 0% Resolution (68 calls)
% 1.39/1.57 ; 0.137 13% Paramodulation (34 calls)
% 1.39/1.57 ; 0.351 33% Forward simplification (3,490 calls)
% 1.39/1.57 ; 0.094 9% Backward simplification (1,199 calls)
% 1.39/1.57 ; 0.021 2% Ordering (8,271 calls)
% 1.39/1.57 ; 0.001 0% Sortal reasoning (32 calls)
% 1.39/1.57 ; 0.000 0% Purity testing (1 call)
% 1.39/1.57 ; 0.041 4% Other
% 1.39/1.57 ; 1.077 Total
% 1.39/1.57 ; 1.101 Real time
% 1.39/1.57 ;
% 1.39/1.57 ; Term-hash-array has 7,314 terms in all.
% 1.39/1.57 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 1.39/1.57 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 1.39/1.57 ; Path-index has 6,695 entries (6,702 at peak, 7,325 added, 630 deleted).
% 1.39/1.57 ; Path-index has 31,559 nodes (31,571 at peak, 31,873 added, 314 deleted).
% 1.39/1.57 ; Trie-index has 6,695 entries (6,702 at peak, 7,325 added, 630 deleted).
% 1.39/1.57 ; Trie-index has 109,135 nodes (109,149 at peak, 117,421 added, 8,286 deleted).
% 1.39/1.57 ; Retrieved 6,152 generalization terms in 50,665 calls.
% 1.39/1.57 ; Retrieved 7,163 instance terms in 1,207 calls.
% 1.39/1.57 ; Retrieved 34,267 unifiable terms in 581 calls.
% 1.39/1.57 ;
% 1.39/1.57 ; The agenda of rows to process has 67 entries:
% 1.39/1.57 ; 8 with value 54 5 with value 59 4 with value 63
% 1.39/1.57 ; 6 with value 55 6 with value 60 4 with value 64
% 1.39/1.57 ; 6 with value 56 4 with value 61 4 with value 65
% 1.39/1.57 ; 12 with value 57 2 with value 62 2 with value 66
% 1.39/1.57 ; 4 with value 58
% 1.39/1.57 ; The agenda of rows to give has 1046 entries:
% 1.39/1.57 ; 1 with value (4 26) 13 with value (4 82) 5 with value (4 131)
% 1.39/1.57 ; 2 with value (4 37) 10 with value (4 83) 5 with value (4 132)
% 1.39/1.57 ; 2 with value (4 39) 10 with value (4 84) 1 with value (4 133)
% 1.39/1.57 ; 1 with value (4 40) 4 with value (4 85) 1 with value (4 134)
% 1.39/1.57 ; 3 with value (4 41) 1 with value (4 86) 1 with value (4 139)
% 1.39/1.57 ; 5 with value (4 42) 3 with value (4 87) 3 with value (4 140)
% 1.39/1.57 ; 5 with value (4 43) 10 with value (4 88) 2 with value (4 142)
% 1.39/1.57 ; 4 with value (4 44) 8 with value (4 89) 2 with value (4 143)
% 1.39/1.57 ; 10 with value (4 45) 10 with value (4 90) 1 with value (4 145)
% 1.39/1.57 ; 10 with value (4 46) 10 with value (4 91) 1 with value (4 146)
% 1.39/1.57 ; 9 with value (4 47) 12 with value (4 92) 2 with value (4 147)
% 1.39/1.57 ; 14 with value (4 48) 9 with value (4 93) 1 with value (4 148)
% 1.39/1.57 ; 14 with value (4 49) 6 with value (4 94) 1 with value (4 154)
% 1.39/1.57 ; 10 with value (4 50) 5 with value (4 95) 1 with value (4 156)
% 1.39/1.57 ; 24 with value (4 51) 5 with value (4 96) 3 with value (4 157)
% 1.39/1.57 ; 22 with value (4 52) 4 with value (4 97) 4 with value (4 158)
% 1.39/1.57 ; 13 with value (4 53) 7 with value (4 98) 4 with value (4 159)
% 1.39/1.57 ; 17 with value (4 54) 6 with value (4 99) 3 with value (4 160)
% 1.39/1.57 ; 23 with value (4 55) 6 with value (4 100) 1 with value (4 161)
% 1.39/1.57 ; 18 with value (4 56) 4 with value (4 101) 1 with value (4 166)
% 1.39/1.57 ; 21 with value (4 57) 2 with value (4 102) 2 with value (4 167)
% 1.39/1.57 ; 20 with value (4 58) 3 with value (4 103) 2 with value (4 169)
% 1.39/1.57 ; 26 with value (4 59) 2 with value (4 104) 3 with value (4 170)
% 1.39/1.57 ; 22 with value (4 60) 6 with value (4 105) 3 with value (4 171)
% 1.39/1.57 ; 25 with value (4 61) 7 with value (4 106) 1 with value (4 172)
% 1.39/1.57 ; 44 with value (4 62) 2 with value (4 107) 1 with value (4 173)
% 1.39/1.57 ; 36 with value (4 63) 2 with value (4 108) 1 with value (4 174)
% 1.39/1.57 ; 48 with value (4 64) 3 with value (4 109) 1 with value (4 175)
% 1.39/1.57 ; 35 with value (4 65) 3 with value (4 110) 3 with value (4 176)
% 1.39/1.57 ; 43 with value (4 66) 2 with value (4 111) 2 with value (4 177)
% 1.39/1.57 ; 37 with value (4 67) 5 with value (4 112) 2 with value (4 179)
% 1.39/1.57 ; 19 with value (4 68) 7 with value (4 113) 1 with value (4 180)
% 1.39/1.57 ; 8 with value (4 69) 9 with value (4 114) 1 with value (4 191)
% 1.39/1.57 ; 9 with value (4 70) 12 with value (4 115) 1 with value (4 192)
% 1.39/1.57 ; 11 with value (4 71) 9 with value (4 116) 1 with value (4 198)
% 1.39/1.57 ; 13 with value (4 72) 6 with value (4 117) 1 with value (4 199)
% 1.39/1.57 ; 12 with value (4 73) 2 with value (4 120) 1 with value (4 200)
% 1.39/1.57 ; 12 with value (4 74) 1 with value (4 122) 1 with value (4 224)
% 1.39/1.57 ; 10 with value (4 75) 1 with value (4 124) 1 with value (4 253)
% 1.39/1.57 ; 10 with value (4 76) 4 with value (4 125) 2 with value (4 254)
% 1.39/1.57 ; 8 with value (4 77) 2 with value (4 126) 2 with value (4 255)
% 1.39/1.57 ; 10 with value (4 78) 3 with value (4 127) 1 with value (4 256)
% 1.39/1.57 ; 12 with value (4 79) 2 with value (4 128) 1 with value (4 263)
% 1.39/1.57 ; 9 with value (4 80) 3 with value (4 129) 1 with value (4 264)
% 1.39/1.57 ; 14 with value (4 81) 5 with value (4 130)
% 1.39/1.57 Evaluation took:
% 1.39/1.57 1.102 seconds of real time
% 1.39/1.57 1.030764 seconds of user run time
% 1.39/1.57 0.070822 seconds of system run time
% 1.39/1.57 [Run times include 0.169 seconds GC run time.]
% 1.39/1.57 0 calls to %EVAL
% 1.39/1.57 0 page faults and
% 1.39/1.57 77,781,760 bytes consed.
% 1.39/1.57 :PROOF-FOUND
% 1.39/1.57 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-14T08:33:59
% 1.39/1.57 :PROOF-FOUND
% 1.39/1.57 *
%------------------------------------------------------------------------------