TSTP Solution File: GRP479-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP479-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n024.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 11:39:04 EDT 2022
% Result : Unsatisfiable 1.06s 1.26s
% Output : Refutation 1.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 3
% Syntax : Number of clauses : 41 ( 41 unt; 0 nHn; 3 RR)
% Number of literals : 41 ( 40 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 181 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
divide(inverse(divide(divide(divide(X,X),Y),divide(Z,divide(Y,U)))),U) = Z,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
cnf(multiply,axiom,
multiply(X,Y) = divide(X,inverse(Y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
cnf(prove_these_axioms_2,negated_conjecture,
multiply(multiply(inverse(b2),b2),a2) != a2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_2) ).
cnf(4,plain,
divide(divide(inverse(b2),inverse(b2)),inverse(a2)) != a2,
inference('REWRITE',[status(thm)],[prove_these_axioms_2,multiply,theory(equality)]) ).
cnf(5,plain,
divide(inverse(divide(divide(divide(X,X),Y),Z)),U) = inverse(divide(divide(divide(V,V),W),divide(Z,divide(W,divide(Y,U))))),
inference('PARAMODULATE',[status(thm)],[single_axiom,single_axiom,theory(equality)]) ).
cnf(7,plain,
divide(divide(inverse(divide(divide(divide(X,X),Y),Z)),U),divide(Y,U)) = Z,
inference('PARAMODULATE',[status(thm)],[single_axiom,5,theory(equality)]) ).
cnf(8,plain,
inverse(divide(divide(divide(X,X),Y),divide(divide(Z,divide(U,V)),divide(Y,divide(U,V))))) = Z,
inference('PARAMODULATE',[status(thm)],[single_axiom,5,theory(equality)]) ).
cnf(22,plain,
divide(divide(inverse(divide(X,Y)),Z),divide(divide(U,inverse(divide(divide(divide(V,V),U),X))),Z)) = Y,
inference('PARAMODULATE',[status(thm)],[7,7,theory(equality)]) ).
cnf(29,plain,
inverse(divide(divide(divide(X,X),Y),Z)) = inverse(divide(divide(divide(U,U),Y),Z)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[5,7,theory(equality)]),single_axiom,theory(equality)]) ).
cnf(37,plain,
inverse(divide(divide(divide(X,X),Y),divide(divide(Z,U),divide(Y,U)))) = Z,
inference('PARAMODULATE',[status(thm)],[8,single_axiom,theory(equality)]) ).
cnf(38,plain,
divide(divide(X,Y),divide(Z,Y)) = divide(divide(X,U),divide(Z,U)),
inference('PARAMODULATE',[status(thm)],[7,37,theory(equality)]) ).
cnf(48,plain,
inverse(divide(divide(divide(X,Y),divide(Z,Y)),U)) = inverse(divide(divide(divide(V,V),divide(Z,X)),U)),
inference('PARAMODULATE',[status(thm)],[29,38,theory(equality)]) ).
cnf(49,plain,
inverse(divide(divide(divide(X,X),Y),divide(Z,Y))) = inverse(divide(divide(divide(U,U),V),divide(Z,V))),
inference('PARAMODULATE',[status(thm)],[29,38,theory(equality)]) ).
cnf(52,plain,
divide(divide(inverse(divide(divide(divide(X,X),Y),divide(Z,Y))),U),divide(V,U)) = divide(Z,V),
inference('PARAMODULATE',[status(thm)],[7,38,theory(equality)]) ).
cnf(53,plain,
divide(divide(divide(X,Y),divide(Z,Y)),divide(U,divide(Z,V))) = divide(divide(divide(X,V),W),divide(U,W)),
inference('PARAMODULATE',[status(thm)],[38,38,theory(equality)]) ).
cnf(54,plain,
divide(divide(X,Y),divide(divide(Z,U),Y)) = divide(divide(X,divide(V,U)),divide(divide(Z,W),divide(V,W))),
inference('PARAMODULATE',[status(thm)],[38,38,theory(equality)]) ).
cnf(153,plain,
divide(X,divide(Y,inverse(divide(divide(divide(Z,Z),Y),divide(divide(U,U),V))))) = divide(X,V),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[22,49,theory(equality)]),52,theory(equality)]) ).
cnf(268,plain,
divide(divide(inverse(divide(divide(divide(X,X),divide(Y,Z)),divide(divide(U,V),divide(Y,V)))),W),divide(X1,W)) = divide(divide(U,Z),X1),
inference('PARAMODULATE',[status(thm)],[52,38,theory(equality)]) ).
cnf(407,plain,
divide(divide(divide(X,Y),divide(Z,Y)),U) = divide(divide(divide(X,V),divide(Z,V)),U),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[52,53,theory(equality)]),268,theory(equality)]) ).
cnf(584,plain,
divide(X,divide(divide(Y,Z),divide(U,Z))) = divide(X,divide(divide(Y,V),divide(U,V))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[52,407,theory(equality)]),52,theory(equality)]) ).
cnf(1050,plain,
X = divide(Y,inverse(divide(divide(divide(Z,Z),Y),divide(divide(U,U),X)))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[7,153,theory(equality)]),7,theory(equality)]) ).
cnf(1051,plain,
X = divide(X,inverse(divide(divide(divide(Y,Y),Z),divide(divide(U,U),Z)))),
inference('PARAMODULATE',[status(thm)],[1050,38,theory(equality)]) ).
cnf(1057,plain,
divide(X,Y) = divide(divide(X,Z),inverse(divide(divide(divide(U,U),V),divide(divide(Y,Z),V)))),
inference('PARAMODULATE',[status(thm)],[1050,54,theory(equality)]) ).
cnf(1063,plain,
divide(divide(inverse(X),Y),divide(Z,Y)) = inverse(divide(divide(divide(U,U),divide(divide(V,V),Z)),divide(divide(W,W),X))),
inference('PARAMODULATE',[status(thm)],[7,1050,theory(equality)]) ).
cnf(1065,plain,
X = divide(inverse(divide(divide(divide(Y,Y),divide(Z,Z)),divide(divide(U,U),V))),inverse(divide(V,divide(divide(W,W),X)))),
inference('PARAMODULATE',[status(thm)],[1050,1050,theory(equality)]) ).
cnf(1078,plain,
inverse(divide(X,Y)) = inverse(divide(divide(divide(Z,Z),inverse(divide(divide(divide(U,U),divide(V,V)),divide(divide(W,W),X)))),Y)),
inference('PARAMODULATE',[status(thm)],[29,1050,theory(equality)]) ).
cnf(1080,plain,
inverse(divide(divide(divide(X,X),Y),divide(Z,divide(Y,inverse(divide(divide(divide(U,U),V),divide(divide(W,W),Z))))))) = V,
inference('PARAMODULATE',[status(thm)],[37,1050,theory(equality)]) ).
cnf(1093,plain,
divide(divide(X,divide(Y,inverse(divide(divide(divide(Z,Z),U),divide(divide(V,V),X))))),W) = divide(divide(divide(U,X1),divide(Y,X1)),W),
inference('PARAMODULATE',[status(thm)],[407,1050,theory(equality)]) ).
cnf(1095,plain,
divide(X,divide(Y,divide(Z,inverse(divide(divide(divide(U,U),V),divide(divide(W,W),Y)))))) = divide(X,divide(divide(V,X1),divide(Z,X1))),
inference('PARAMODULATE',[status(thm)],[584,1050,theory(equality)]) ).
cnf(1116,plain,
inverse(divide(divide(X,divide(Y,inverse(divide(divide(divide(Z,Z),U),divide(divide(V,V),X))))),W)) = inverse(divide(divide(divide(X1,X1),divide(Y,U)),W)),
inference('PARAMODULATE',[status(thm)],[48,1050,theory(equality)]) ).
cnf(1146,plain,
inverse(divide(divide(divide(X,X),Y),divide(Z,Y))) = Z,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[single_axiom,1051,theory(equality)]),1051,theory(equality)]) ).
cnf(1147,plain,
divide(X,Y) = divide(divide(X,Z),divide(Y,Z)),
inference('REWRITE',[status(thm)],[1057,1146,theory(equality)]) ).
cnf(1158,plain,
divide(X,divide(Y,divide(Z,inverse(divide(divide(divide(U,U),V),divide(divide(W,W),Y)))))) = divide(X,divide(V,Z)),
inference('REWRITE',[status(thm)],[1095,1147,theory(equality)]) ).
cnf(1159,plain,
inverse(divide(divide(X,X),Y)) = Y,
inference('REWRITE',[status(thm)],[1080,1147,1158,theory(equality)]) ).
cnf(1160,plain,
divide(divide(X,divide(Y,inverse(divide(divide(divide(Z,Z),U),divide(divide(V,V),X))))),W) = divide(divide(U,Y),W),
inference('REWRITE',[status(thm)],[1093,1147,theory(equality)]) ).
cnf(1163,plain,
inverse(divide(divide(X,Y),Z)) = inverse(divide(divide(divide(U,U),divide(Y,X)),Z)),
inference('REWRITE',[status(thm)],[1116,1160,theory(equality)]) ).
cnf(1188,plain,
inverse(divide(X,Y)) = inverse(divide(divide(X,divide(Z,Z)),Y)),
inference('REWRITE',[status(thm)],[1078,1159,1163,theory(equality)]) ).
cnf(1192,plain,
X = divide(divide(divide(Y,Y),Z),inverse(divide(Z,divide(divide(U,U),X)))),
inference('REWRITE',[status(thm)],[1065,1159,1163,theory(equality)]) ).
cnf(1224,plain,
divide(inverse(X),Y) = inverse(divide(Y,divide(divide(Z,Z),X))),
inference('REWRITE',[status(thm)],[1063,1188,1163,1147,theory(equality)]) ).
cnf(1225,plain,
X = divide(divide(Y,Y),inverse(X)),
inference('REWRITE',[status(thm)],[1192,1147,1224,theory(equality)]) ).
cnf(1241,plain,
$false,
inference('REWRITE',[status(thm)],[4,1225,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP479-1 : TPTP v8.1.0. Released v2.6.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.13/0.33 % Computer : n024.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 09:24:33 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 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 2022-06-14T09:24:33
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n024.cluster.edu at 2022-06-14T09:24:33
% 1.06/1.26
% 1.06/1.26
% 1.06/1.26 #||
% 1.06/1.26 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.06/1.26 % SZS output start Refutation
% See solution above
% 1.06/1.26 ||#
% 1.06/1.26
% 1.06/1.26 ; Summary of computation:
% 1.06/1.26 ; 4592 formulas have been input or derived (from 28 formulas).
% 1.06/1.26 ; 1241 (27%) were retained. Of these,
% 1.06/1.26 ; 1067 (86%) were simplified or subsumed later,
% 1.06/1.26 ; 174 (14%) are still being kept.
% 1.06/1.26 ;
% 1.06/1.26 ; Run time in seconds excluding printing time:
% 1.06/1.26 ; 0.001 0% Read assertion file (1 call)
% 1.06/1.26 ; 0.000 0% Assert (3 calls)
% 1.06/1.26 ; 0.206 26% Process new row (3,460 calls)
% 1.06/1.26 ; 0.003 0% Resolution (54 calls)
% 1.06/1.26 ; 0.091 11% Paramodulation (27 calls)
% 1.06/1.26 ; 0.293 37% Forward simplification (3,256 calls)
% 1.06/1.26 ; 0.151 19% Backward simplification (1,240 calls)
% 1.06/1.26 ; 0.014 2% Ordering (6,464 calls)
% 1.06/1.26 ; 0.000 0% Sortal reasoning (32 calls)
% 1.06/1.26 ; 0.000 0% Purity testing (1 call)
% 1.06/1.26 ; 0.034 4% Other
% 1.06/1.26 ; 0.793 Total
% 1.06/1.26 ; 0.797 Real time
% 1.06/1.26 ;
% 1.06/1.26 ; Term-hash-array has 6,939 terms in all.
% 1.06/1.26 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 1.06/1.26 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 1.06/1.26 ; Path-index has 1,234 entries (6,430 at peak, 7,021 added, 5,787 deleted).
% 1.06/1.26 ; Path-index has 6,408 nodes (8,005 at peak, 8,363 added, 1,955 deleted).
% 1.06/1.26 ; Trie-index has 1,234 entries (6,430 at peak, 7,021 added, 5,787 deleted).
% 1.06/1.26 ; Trie-index has 6,116 nodes (34,682 at peak, 37,320 added, 31,204 deleted).
% 1.06/1.26 ; Retrieved 7,634 generalization terms in 30,796 calls.
% 1.06/1.28 ; Retrieved 7,374 instance terms in 1,331 calls.
% 1.06/1.28 ; Retrieved 34,960 unifiable terms in 302 calls.
% 1.06/1.28 ;
% 1.06/1.28 ; The agenda of backward simplifiable rows to process has 939 entries:
% 1.06/1.28 ; 939 with value 0
% 1.06/1.28 ; The agenda of rows to process has 172 entries:
% 1.06/1.28 ; 19 with value 40 32 with value 45 1 with value 50
% 1.06/1.28 ; 7 with value 41 7 with value 46 2 with value 51
% 1.06/1.28 ; 3 with value 42 18 with value 47 2 with value 52
% 1.06/1.28 ; 19 with value 43 22 with value 48 2 with value 53
% 1.06/1.28 ; 20 with value 44 16 with value 49 2 with value 57
% 1.06/1.28 ; The agenda of rows to give has 166 entries:
% 1.06/1.28 ; 1 with value (4 19) 5 with value (4 34) 5 with value (4 46)
% 1.06/1.28 ; 1 with value (4 20) 4 with value (4 35) 13 with value (4 47)
% 1.06/1.28 ; 1 with value (4 22) 5 with value (4 37) 11 with value (4 48)
% 1.06/1.28 ; 1 with value (4 24) 9 with value (4 38) 11 with value (4 50)
% 1.06/1.28 ; 3 with value (4 25) 14 with value (4 39) 4 with value (4 51)
% 1.06/1.28 ; 4 with value (4 26) 4 with value (4 40) 8 with value (4 52)
% 1.06/1.28 ; 2 with value (4 28) 6 with value (4 41) 3 with value (4 55)
% 1.06/1.28 ; 4 with value (4 30) 11 with value (4 42) 2 with value (4 56)
% 1.06/1.28 ; 2 with value (4 31) 16 with value (4 43) 1 with value (4 58)
% 1.06/1.28 ; 2 with value (4 32) 8 with value (4 44) 1 with value (4 59)
% 1.06/1.28 ; 3 with value (4 33) 1 with value (4 45)
% 1.06/1.28 Evaluation took:
% 1.06/1.28 0.819 seconds of real time
% 1.06/1.28 0.77597 seconds of user run time
% 1.06/1.28 0.04283 seconds of system run time
% 1.06/1.28 [Run times include 0.073 seconds GC run time.]
% 1.06/1.28 0 calls to %EVAL
% 1.06/1.28 0 page faults and
% 1.06/1.28 62,799,304 bytes consed.
% 1.06/1.28 :PROOF-FOUND
% 1.06/1.28 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-14T09:24:34
% 1.06/1.28 :PROOF-FOUND
% 1.06/1.28 *
%------------------------------------------------------------------------------