TSTP Solution File: RNG025-4 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : RNG025-4 : TPTP v8.1.0. Released v1.0.0.
% 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 : Mon Jul 18 20:40:35 EDT 2022
% Result : Unsatisfiable 16.82s 17.05s
% Output : Refutation 16.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of clauses : 24 ( 24 unt; 0 nHn; 5 RR)
% Number of literals : 24 ( 23 equ; 3 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 43 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(left_additive_identity,axiom,
add(additive_identity,X) = X,
file('/export/starexec/sandbox/benchmark/Axioms/RNG003-0.ax',left_additive_identity) ).
cnf(left_multiplicative_zero,axiom,
multiply(additive_identity,X) = additive_identity,
file('/export/starexec/sandbox/benchmark/Axioms/RNG003-0.ax',left_multiplicative_zero) ).
cnf(left_additive_inverse,axiom,
add(additive_inverse(X),X) = additive_identity,
file('/export/starexec/sandbox/benchmark/Axioms/RNG003-0.ax',left_additive_inverse) ).
cnf(5,plain,
add(additive_inverse(X),add(X,Y)) = add(additive_identity,Y),
inference('EMBED',[status(thm)],[left_additive_inverse]) ).
cnf(distribute1,axiom,
multiply(X,add(Y,Z)) = add(multiply(X,Y),multiply(X,Z)),
file('/export/starexec/sandbox/benchmark/Axioms/RNG003-0.ax',distribute1) ).
cnf(distribute2,axiom,
multiply(add(X,Y),Z) = add(multiply(X,Z),multiply(Y,Z)),
file('/export/starexec/sandbox/benchmark/Axioms/RNG003-0.ax',distribute2) ).
cnf(right_alternative,axiom,
multiply(multiply(X,Y),Y) = multiply(X,multiply(Y,Y)),
file('/export/starexec/sandbox/benchmark/Axioms/RNG003-0.ax',right_alternative) ).
cnf(associator,axiom,
associator(X,Y,Z) = add(multiply(multiply(X,Y),Z),additive_inverse(multiply(X,multiply(Y,Z)))),
file('/export/starexec/sandbox/benchmark/Axioms/RNG003-0.ax',associator) ).
cnf(prove_equation,negated_conjecture,
add(associator(x,y,z),associator(x,z,y)) != additive_identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_equation) ).
cnf(15,plain,
add(multiply(multiply(x,y),z),add(additive_inverse(multiply(x,multiply(y,z))),add(multiply(multiply(x,z),y),additive_inverse(multiply(x,multiply(z,y)))))) != additive_identity,
inference('REWRITE',[status(thm)],[prove_equation,associator,theory(equality)]) ).
cnf(16,plain,
additive_identity = additive_inverse(additive_identity),
inference('PARAMODULATE',[status(thm)],[left_additive_identity,left_additive_inverse,theory(equality)]) ).
cnf(17,plain,
additive_inverse(X) = add(additive_inverse(add(X,Y)),Y),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[5,5,theory(equality)]),left_additive_identity,theory(equality)]) ).
cnf(36,plain,
additive_identity = add(multiply(X,Y),multiply(additive_inverse(X),Y)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[distribute2,left_additive_inverse,theory(equality)]),left_multiplicative_zero,theory(equality)]) ).
cnf(71,plain,
additive_inverse(add(X,Y)) = add(additive_inverse(Y),additive_inverse(X)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[17,5,theory(equality)]),left_additive_identity,theory(equality)]) ).
cnf(72,plain,
add(additive_inverse(X),add(additive_inverse(Y),Z)) = add(additive_inverse(add(X,Y)),Z),
inference('EMBED',[status(thm)],[71]) ).
cnf(73,plain,
add(multiply(multiply(x,z),y),add(multiply(multiply(x,y),z),additive_inverse(add(multiply(x,multiply(z,y)),multiply(x,multiply(y,z)))))) != additive_identity,
inference('REWRITE',[status(thm)],[15,71,theory(equality)]) ).
cnf(100,plain,
additive_inverse(multiply(X,Y)) = multiply(additive_inverse(X),Y),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[17,36,theory(equality)]),left_additive_identity,16,theory(equality)]) ).
cnf(105,plain,
additive_inverse(multiply(multiply(X,Y),Y)) = additive_inverse(multiply(X,multiply(Y,Y))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[right_alternative,100,theory(equality)]),100,theory(equality)]) ).
cnf(342,plain,
add(additive_inverse(multiply(X,multiply(Y,Y))),multiply(multiply(X,Y),Y)) = additive_identity,
inference('PARAMODULATE',[status(thm)],[left_additive_inverse,105,theory(equality)]) ).
cnf(343,plain,
add(additive_inverse(multiply(X,multiply(Y,Y))),add(multiply(multiply(X,Y),Y),Z)) = add(additive_identity,Z),
inference('EMBED',[status(thm)],[342]) ).
cnf(2629,plain,
add(additive_inverse(add(multiply(X,multiply(Y,Z)),add(multiply(X,multiply(Z,Y)),add(multiply(X,multiply(Y,Y)),multiply(X,multiply(Z,Z)))))),add(multiply(multiply(X,Y),Y),add(multiply(multiply(X,Y),Z),add(multiply(multiply(X,Z),Y),multiply(multiply(X,Z),Z))))) = additive_identity,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[342,distribute1,theory(equality)]),distribute1,distribute2,theory(equality)]) ).
cnf(2671,plain,
additive_inverse(X) = add(additive_inverse(add(X,multiply(Y,multiply(Z,Z)))),multiply(multiply(Y,Z),Z)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[72,343,theory(equality)]),left_additive_identity,theory(equality)]) ).
cnf(2673,plain,
add(multiply(multiply(X,Y),Z),add(multiply(multiply(X,Z),Y),additive_inverse(add(multiply(X,multiply(Y,Z)),multiply(X,multiply(Z,Y)))))) = additive_identity,
inference('REWRITE',[status(thm)],[2629,2671,theory(equality)]) ).
cnf(2675,plain,
$false,
inference('REWRITE',[status(thm)],[73,2673,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : RNG025-4 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n020.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 : Mon May 30 21:00:39 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.48 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.49 *
% 0.20/0.49 *
% 0.20/0.50 #<PACKAGE "SNARK-USER">
% 0.20/0.50 *
% 0.20/0.50 SNARK-TPTP-OPTIONS
% 0.20/0.50 *
% 0.20/0.50 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.50 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.50 (USE-FACTORING :POS)
% 0.20/0.50 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.50 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.50 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.50 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.50 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.50 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.50 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.50 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.50 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.50 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.50 *
% 0.20/0.50 "."
% 0.20/0.50 *
% 0.20/0.50 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-30T21:00:39
% 0.20/0.50 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n020.cluster.edu at 2022-05-30T21:00:39
% 0.20/0.52
% 0.20/0.52 ; Recognized left identity assertion (= (|add| |additive_identity| ?X) ?X).
% 0.20/0.52 ; Recognized right identity assertion (= (|add| ?X |additive_identity|) ?X).
% 0.20/0.52 ; Recognized possible left inverse assertion (= (|add| (|additive_inverse| ?X) ?X) |additive_identity|).
% 0.20/0.52 ; Recognized possible right inverse assertion (= (|add| ?X (|additive_inverse| ?X)) |additive_identity|).
% 0.20/0.52 ; Recognized commutativity assertion (= (|add| ?X ?Y) (|add| ?Y ?X)).
% 0.20/0.52 ; Recognized associativity assertion (= (|add| ?X (|add| ?Y ?Z)) (|add| (|add| ?X ?Y) ?Z)).
% 0.20/0.52 ; Declaring add to be commutative.
% 16.82/17.05 ; Declaring add to be associative-commutative.
% 16.82/17.05
% 16.82/17.05 #||
% 16.82/17.05 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 16.82/17.05 % SZS output start Refutation
% See solution above
% 16.82/17.06 ||#
% 16.82/17.06
% 16.82/17.06 ; Summary of computation:
% 16.82/17.06 ; 9386 formulas have been input or derived (from 108 formulas).
% 16.82/17.06 ; 2675 (28%) were retained. Of these,
% 16.82/17.06 ; 262 (10%) were simplified or subsumed later,
% 16.82/17.06 ; 2413 (90%) are still being kept.
% 16.82/17.06 ;
% 16.82/17.06 ; Run time in seconds excluding printing time:
% 16.82/17.06 ; 0.003 0% Read assertion file (1 call)
% 16.82/17.06 ; 0.001 0% Assert (16 calls)
% 16.82/17.06 ; 0.695 4% Process new row (9,131 calls)
% 16.82/17.06 ; 0.018 0% Resolution (214 calls)
% 16.82/17.06 ; 0.317 2% Paramodulation (107 calls)
% 16.82/17.06 ; 0.012 0% Embedding (884 calls)
% 16.82/17.06 ; 12.426 75% Forward simplification (8,027 calls)
% 16.82/17.06 ; 0.791 5% Backward simplification (1,832 calls)
% 16.82/17.06 ; 1.203 7% Ordering (101,857 calls)
% 16.82/17.06 ; 0.951 6% Ordering ac (30,737 calls)
% 16.82/17.06 ; 0.000 0% Sortal reasoning (32 calls)
% 16.82/17.06 ; 0.000 0% Purity testing (1 call)
% 16.82/17.06 ; 0.105 1% Other
% 16.82/17.06 ; 16.522 Total
% 16.82/17.06 ; 16.553 Real time
% 16.82/17.06 ;
% 16.82/17.06 ; Term-hash-array has 8,582 terms in all.
% 16.82/17.06 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 16.82/17.06 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 16.82/17.06 ; Path-index has 7,951 entries (7,973 at peak, 8,787 added, 836 deleted).
% 16.82/17.06 ; Path-index has 4,670 nodes (4,715 at peak, 5,075 added, 405 deleted).
% 16.82/17.06 ; Trie-index has 7,951 entries (7,973 at peak, 8,787 added, 836 deleted).
% 16.82/17.06 ; Trie-index has 13,271 nodes (13,295 at peak, 14,088 added, 817 deleted).
% 16.82/17.06 ; Retrieved 6,816,303 generalization terms in 121,520 calls.
% 16.82/17.06 ; Retrieved 61,169 instance terms in 3,535 calls.
% 16.82/17.06 ; Retrieved 67,223 unifiable terms in 692 calls.
% 16.82/17.06 ;
% 16.82/17.06 ; The agenda of backward simplifiable rows to process has 3 entries:
% 16.82/17.06 ; 3 with value 0
% 16.82/17.06 ; The agenda of rows to process has 119 entries:
% 16.82/17.06 ; 11 with value 30 14 with value 35 17 with value 40
% 16.82/17.06 ; 6 with value 31 22 with value 36 2 with value 41
% 16.82/17.06 ; 3 with value 32 3 with value 37 10 with value 42
% 16.82/17.06 ; 5 with value 33 3 with value 38 5 with value 43
% 16.82/17.06 ; 6 with value 34 11 with value 39 1 with value 44
% 16.82/17.06 ; The agenda of rows to give has 2312 entries:
% 16.82/17.06 ; 8 with value (4 23) 154 with value (4 42) 4 with value (4 65)
% 16.82/17.06 ; 39 with value (4 24) 14 with value (4 43) 2 with value (4 67)
% 16.82/17.06 ; 8 with value (4 25) 58 with value (4 44) 2 with value (4 68)
% 16.82/17.06 ; 22 with value (4 26) 8 with value (4 45) 20 with value (4 70)
% 16.82/17.06 ; 34 with value (4 27) 4 with value (4 46) 12 with value (4 71)
% 16.82/17.06 ; 104 with value (4 28) 58 with value (4 47) 16 with value (4 72)
% 16.82/17.06 ; 42 with value (4 29) 2 with value (4 48) 8 with value (4 73)
% 16.82/17.06 ; 74 with value (4 30) 28 with value (4 49) 6 with value (4 78)
% 16.82/17.06 ; 172 with value (4 31) 10 with value (4 50) 2 with value (4 79)
% 16.82/17.06 ; 155 with value (4 32) 64 with value (4 51) 2 with value (4 88)
% 16.82/17.06 ; 173 with value (4 33) 12 with value (4 52) 2 with value (4 91)
% 16.82/17.06 ; 81 with value (4 34) 4 with value (4 53) 2 with value (4 108)
% 16.82/17.06 ; 12 with value (4 35) 10 with value (4 56) 4 with value (4 109)
% 16.82/17.06 ; 36 with value (4 36) 8 with value (4 57) 4 with value (4 129)
% 16.82/17.06 ; 46 with value (4 37) 8 with value (4 58) 8 with value (4 134)
% 16.82/17.06 ; 142 with value (4 38) 2 with value (4 62) 4 with value (4 180)
% 16.82/17.06 ; 226 with value (4 39) 8 with value (4 63) 2 with value (4 312)
% 16.82/17.06 ; 143 with value (4 40) 4 with value (4 64) 6 with value (4 313)
% 16.82/17.06 ; 233 with value (4 41)
% 16.82/17.06 Evaluation took:
% 16.82/17.06 16.554 seconds of real time
% 16.82/17.06 16.11564 seconds of user run time
% 16.82/17.06 0.411683 seconds of system run time
% 16.82/17.06 [Run times include 0.417 seconds GC run time.]
% 16.82/17.06 0 calls to %EVAL
% 16.82/17.06 0 page faults and
% 16.82/17.06 339,088,200 bytes consed.
% 16.82/17.06 :PROOF-FOUND
% 16.82/17.06 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-30T21:00:55
% 16.82/17.06 :PROOF-FOUND
% 16.82/17.06 *
%------------------------------------------------------------------------------