TSTP Solution File: ROB014-2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : ROB014-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n029.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 20:56:00 EDT 2022
% Result : Unsatisfiable 1.05s 1.22s
% Output : Refutation 1.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 7
% Syntax : Number of clauses : 11 ( 9 unt; 0 nHn; 8 RR)
% Number of literals : 14 ( 11 equ; 5 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 9 ( 3 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 12 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(robbins_axiom,axiom,
negate(add(negate(add(X,Y)),negate(add(X,negate(Y))))) = X,
file('/export/starexec/sandbox/benchmark/Axioms/ROB001-0.ax',robbins_axiom) ).
cnf(one_times_x,axiom,
multiply(one,X) = X,
file('/export/starexec/sandbox/benchmark/Axioms/ROB001-1.ax',one_times_x) ).
cnf(one,axiom,
positive_integer(one),
file('/export/starexec/sandbox/benchmark/Axioms/ROB001-1.ax',one) ).
cnf(lemma_3_2,axiom,
( negate(add(X,negate(add(Y,Z)))) != negate(add(Y,negate(add(X,Z))))
| X = Y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_3_2) ).
cnf(lemma_3_4,axiom,
( negate(add(X,negate(Y))) != Z
| ~ positive_integer(U)
| negate(add(X,negate(add(Y,multiply(U,add(X,Z)))))) = Z ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_3_4) ).
cnf(condition,hypothesis,
negate(add(negate(e),negate(add(d,negate(e))))) = d,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',condition) ).
cnf(prove_base_step,negated_conjecture,
negate(add(e,multiply(one,add(d,negate(add(d,negate(e))))))) != negate(e),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_base_step) ).
cnf(10,plain,
negate(add(e,add(d,negate(add(d,negate(e)))))) != negate(e),
inference('REWRITE',[status(thm)],[prove_base_step,one_times_x,theory(equality)]) ).
cnf(17,plain,
negate(add(negate(add(negate(add(X,negate(Y))),add(X,Y))),X)) = negate(add(X,negate(Y))),
inference('PARAMODULATE',[status(thm)],[robbins_axiom,robbins_axiom,theory(equality)]) ).
cnf(41,plain,
negate(add(negate(add(d,negate(e))),negate(add(e,add(d,negate(add(d,negate(e)))))))) = d,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[lemma_3_4,condition,one]),one_times_x,theory(equality)]) ).
cnf(466,plain,
$false,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[lemma_3_2,41,theory(equality)]),10,condition,17,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : ROB014-2 : TPTP v8.1.0. Released v1.0.0.
% 0.10/0.13 % Command : run-snark %s %d
% 0.13/0.33 % Computer : n029.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 : Thu Jun 9 15:36:22 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.20/0.44 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.45 *
% 0.20/0.45 *
% 0.20/0.45 #<PACKAGE "SNARK-USER">
% 0.20/0.45 *
% 0.20/0.46 SNARK-TPTP-OPTIONS
% 0.20/0.46 *
% 0.20/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.46 (USE-FACTORING :POS)
% 0.20/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.46 *
% 0.20/0.46 "."
% 0.20/0.46 *
% 0.20/0.46 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-09T15:36:22
% 0.20/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n029.cluster.edu at 2022-06-09T15:36:22
% 0.20/0.47
% 0.20/0.47 ; Recognized commutativity assertion (= (|add| ?X ?Y) (|add| ?Y ?X)).
% 0.20/0.47 ; Recognized associativity assertion (= (|add| (|add| ?X ?Y) ?Z) (|add| ?X (|add| ?Y ?Z))).
% 0.20/0.47 ; Recognized left identity assertion (= (|multiply| |one| ?X) ?X).
% 0.20/0.47 ; Declaring add to be commutative.
% 1.05/1.22 ; Declaring add to be associative-commutative.
% 1.05/1.22
% 1.05/1.22 #||
% 1.05/1.22 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.05/1.22 % SZS output start Refutation
% See solution above
% 1.05/1.22 ||#
% 1.05/1.22
% 1.05/1.22 ; Summary of computation:
% 1.05/1.22 ; 1153 formulas have been input or derived (from 32 formulas).
% 1.05/1.22 ; 466 (40%) were retained. Of these,
% 1.05/1.22 ; 1 ( 0%) were simplified or subsumed later,
% 1.05/1.22 ; 465 (100%) are still being kept.
% 1.05/1.22 ;
% 1.05/1.22 ; Run time in seconds excluding printing time:
% 1.05/1.22 ; 0.004 1% Read assertion file (1 call)
% 1.05/1.22 ; 0.000 0% Assert (11 calls)
% 1.05/1.22 ; 0.104 14% Process new row (925 calls)
% 1.05/1.22 ; 0.032 4% Resolution (62 calls)
% 1.05/1.22 ; 0.019 2% Paramodulation (31 calls)
% 1.05/1.22 ; 0.000 0% Embedding (17 calls)
% 1.05/1.22 ; 0.018 2% Condensing (234 calls)
% 1.05/1.22 ; 0.025 3% Forward subsumption (234 calls)
% 1.05/1.22 ; 0.004 1% Backward subsumption (144 calls)
% 1.05/1.22 ; 0.021 3% Clause clause subsumption (931 calls)
% 1.05/1.22 ; 0.404 53% Forward simplification (925 calls)
% 1.05/1.22 ; 0.026 3% Backward simplification (465 calls)
% 1.05/1.22 ; 0.002 0% Ordering (603 calls)
% 1.05/1.22 ; 0.078 10% Ordering ac (221 calls)
% 1.05/1.22 ; 0.000 0% Sortal reasoning (32 calls)
% 1.05/1.22 ; 0.000 0% Purity testing (1 call)
% 1.05/1.22 ; 0.025 3% Other
% 1.05/1.22 ; 0.762 Total
% 1.05/1.22 ; 0.764 Real time
% 1.05/1.22 ;
% 1.05/1.22 ; Term-hash-array has 2,577 terms in all.
% 1.05/1.22 ; Feature-vector-row-index has 144 entries (144 at peak, 144 added, 0 deleted).
% 1.05/1.22 ; Feature-vector-row-index has 1,803 nodes (1,803 at peak, 1,803 added, 0 deleted).
% 1.05/1.22 ; Retrieved 1,492 possibly forward subsuming rows in 234 calls.
% 1.05/1.22 ; Retrieved 67 possibly backward subsumed rows in 144 calls.
% 1.05/1.22 ; Path-index has 2,580 entries (2,580 at peak, 2,580 added, 0 deleted).
% 1.05/1.22 ; Path-index has 707 nodes (707 at peak, 707 added, 0 deleted).
% 1.05/1.22 ; Trie-index has 2,580 entries (2,580 at peak, 2,580 added, 0 deleted).
% 1.05/1.22 ; Trie-index has 191 nodes (191 at peak, 191 added, 0 deleted).
% 1.05/1.22 ; Retrieved 788,924 generalization terms in 8,393 calls.
% 1.05/1.22 ; Retrieved 1,511 instance terms in 320 calls.
% 1.05/1.22 ; Retrieved 21,703 unifiable terms in 762 calls.
% 1.05/1.22 ;
% 1.05/1.22 ; The agenda of rows to process has 20 entries:
% 1.05/1.22 ; 4 with value 51 2 with value 55 1 with value 61
% 1.05/1.22 ; 1 with value 52 4 with value 57 1 with value 62
% 1.05/1.22 ; 3 with value 53 1 with value 59 1 with value 65
% 1.05/1.22 ; 1 with value 54 1 with value 60
% 1.05/1.22 ; The agenda of rows to give has 433 entries:
% 1.05/1.22 ; 2 with value (4 28) 15 with value (4 48) 2 with value (4 69)
% 1.05/1.22 ; 5 with value (4 29) 13 with value (4 49) 1 with value (4 70)
% 1.05/1.22 ; 7 with value (4 30) 13 with value (4 50) 2 with value (4 71)
% 1.05/1.22 ; 6 with value (4 31) 9 with value (4 51) 1 with value (4 73)
% 1.05/1.22 ; 7 with value (4 32) 12 with value (4 52) 2 with value (4 74)
% 1.05/1.22 ; 8 with value (4 33) 15 with value (4 53) 3 with value (4 76)
% 1.05/1.22 ; 18 with value (4 34) 9 with value (4 54) 1 with value (4 77)
% 1.05/1.22 ; 8 with value (4 35) 8 with value (4 55) 3 with value (4 78)
% 1.05/1.22 ; 12 with value (4 36) 6 with value (4 56) 1 with value (4 79)
% 1.05/1.22 ; 16 with value (4 37) 5 with value (4 57) 3 with value (4 80)
% 1.05/1.22 ; 18 with value (4 38) 6 with value (4 58) 2 with value (4 82)
% 1.05/1.22 ; 21 with value (4 39) 3 with value (4 59) 1 with value (4 83)
% 1.05/1.22 ; 17 with value (4 40) 6 with value (4 60) 3 with value (4 84)
% 1.05/1.22 ; 15 with value (4 41) 2 with value (4 61) 1 with value (4 86)
% 1.05/1.22 ; 22 with value (4 42) 5 with value (4 62) 1 with value (4 87)
% 1.05/1.22 ; 14 with value (4 43) 3 with value (4 63) 1 with value (4 89)
% 1.05/1.22 ; 16 with value (4 44) 4 with value (4 64) 1 with value (4 90)
% 1.05/1.22 ; 12 with value (4 45) 2 with value (4 65) 1 with value (4 92)
% 1.05/1.22 ; 23 with value (4 46) 4 with value (4 66) 1 with value (4 93)
% 1.05/1.22 ; 10 with value (4 47) 4 with value (4 68) 1 with value (4 94)
% 1.05/1.22 Evaluation took:
% 1.05/1.22 0.765 seconds of real time
% 1.05/1.22 0.745919 seconds of user run time
% 1.05/1.22 0.018632 seconds of system run time
% 1.05/1.22 [Run times include 0.018 seconds GC run time.]
% 1.05/1.22 0 calls to %EVAL
% 1.05/1.22 0 page faults and
% 1.05/1.22 43,440,744 bytes consed.
% 1.05/1.22 :PROOF-FOUND
% 1.05/1.22 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-09T15:36:23
% 1.05/1.22 :PROOF-FOUND
% 1.05/1.22 *
%------------------------------------------------------------------------------