%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : RNG004-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n027.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 20:40:31 EDT 2022
% Result : Unsatisfiable 278.43s 278.77s
% Output : Refutation 278.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 12
% Syntax : Number of clauses : 16 ( 12 unt; 0 nHn; 11 RR)
% Number of literals : 29 ( 0 equ; 15 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 30 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(additive_identity1,axiom,
sum(additive_identity,X,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_identity1) ).
cnf(closure_of_multiplication,axiom,
product(X,Y,multiply(X,Y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',closure_of_multiplication) ).
cnf(left_inverse,axiom,
sum(additive_inverse(X),X,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
cnf(associativity_of_addition1,axiom,
( ~ sum(X,Y,Z)
| ~ sum(Y,U,V)
| ~ sum(Z,U,W)
| sum(X,V,W) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_of_addition1) ).
cnf(distributivity1,axiom,
( ~ product(X,Y,Z)
| ~ product(X,U,V)
| ~ sum(Y,U,W)
| ~ product(X,W,X1)
| sum(Z,V,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distributivity1) ).
cnf(distributivity3,axiom,
( ~ product(X,Y,Z)
| ~ product(U,Y,V)
| ~ sum(X,U,W)
| ~ product(W,Y,X1)
| sum(Z,V,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distributivity3) ).
cnf(addition_is_well_defined,axiom,
( ~ sum(X,Y,Z)
| ~ sum(X,Y,U)
| equalish(Z,U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',addition_is_well_defined) ).
cnf(multiplicative_identity1,axiom,
product(additive_identity,X,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_identity1) ).
cnf(multiplicative_identity2,axiom,
product(X,additive_identity,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_identity2) ).
cnf(a_times_b,hypothesis,
product(a,b,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_times_b) ).
cnf(a_inverse_times_b_inverse,hypothesis,
product(additive_inverse(a),additive_inverse(b),d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_inverse_times_b_inverse) ).
cnf(prove_c_equals_d,negated_conjecture,
~ equalish(c,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_c_equals_d) ).
cnf(29,plain,
~ sum(additive_identity,d,c),
inference('UR-RESOLVE',[status(thm)],[addition_is_well_defined,additive_identity1,prove_c_equals_d]) ).
cnf(158,plain,
sum(d,multiply(additive_inverse(a),b),additive_identity),
inference('HYPERRESOLVE',[status(thm)],[distributivity1,a_inverse_times_b_inverse,closure_of_multiplication,left_inverse,multiplicative_identity2]) ).
cnf(271,plain,
sum(c,multiply(additive_inverse(a),b),additive_identity),
inference('HYPERRESOLVE',[status(thm)],[distributivity3,a_times_b,closure_of_multiplication,left_inverse,multiplicative_identity1]) ).
cnf(47400,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[associativity_of_addition1,158,additive_identity1,29]),271]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : RNG004-3 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n027.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 16:25:16 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.19/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.47 *
% 0.19/0.47 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 0.19/0.47 SNARK-TPTP-OPTIONS
% 0.19/0.47 *
% 0.19/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.48 (USE-FACTORING :POS)
% 0.19/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.48 *
% 0.19/0.48 "."
% 0.19/0.48 *
% 0.19/0.48 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-30T16:25:16
% 0.19/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n027.cluster.edu at 2022-05-30T16:25:16
% 0.19/0.49
% 0.19/0.49 ; Recognized commutativity assertion (OR (NOT (|equalish| ?X ?Y)) (|equalish| ?Y ?X)).
% 0.19/0.49 ; Recognized possible left identity assertion (|sum| |additive_identity| ?X ?X).
% 0.19/0.49 ; Recognized possible right identity assertion (|sum| ?X |additive_identity| ?X).
% 0.19/0.49 ; Recognized relation function assertion (|product| ?X ?Y (|multiply| ?X ?Y)).
% 0.19/0.49 ; Recognized relation function assertion (|sum| ?X ?Y (|add| ?X ?Y)).
% 0.19/0.49 ; Recognized possible left inverse assertion (|sum| (|additive_inverse| ?X) ?X |additive_identity|).
% 0.19/0.49 ; Recognized possible right inverse assertion (|sum| ?X (|additive_inverse| ?X) |additive_identity|).
% 0.19/0.49 ; Recognized possible associativity assertion (OR (NOT (|sum| ?X ?Y ?Z)) (NOT (|sum| ?Y ?U ?V)) (NOT (|sum| ?Z ?U ?W)) (|sum| ?X ?V ?W)).
% 0.19/0.49 ; Recognized possible associativity assertion (OR (NOT (|sum| ?X ?Y ?Z)) (NOT (|sum| ?Y ?U ?V)) (NOT (|sum| ?X ?V ?W)) (|sum| ?Z ?U ?W)).
% 0.19/0.49 ; Recognized commutativity assertion (OR (NOT (|sum| ?X ?Y ?Z)) (|sum| ?Y ?X ?Z)).
% 0.19/0.49 ; Recognized possible associativity assertion (OR (NOT (|product| ?X ?Y ?Z)) (NOT (|product| ?Y ?U ?V)) (NOT (|product| ?Z ?U ?W)) (|product| ?X ?V ?W)).
% 0.19/0.49 ; Recognized possible associativity assertion (OR (NOT (|product| ?X ?Y ?Z)) (NOT (|product| ?Y ?U ?V)) (NOT (|product| ?X ?V ?W)) (|product| ?Z ?U ?W)).
% 0.19/0.49 ; Declaring equalish to be commutative.
% 278.43/278.77 ; Declaring sum to be commutative.
% 278.43/278.77
% 278.43/278.77 #||
% 278.43/278.77 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 278.43/278.77 % SZS output start Refutation
% See solution above
% 278.43/278.77 ||#
% 278.43/278.77
% 278.43/278.77 ; Summary of computation:
% 278.43/278.77 ; 1281762 formulas have been input or derived (from 141 formulas).
% 278.43/278.77 ; 47400 ( 4%) were retained. Of these,
% 278.43/278.77 ; 3298 ( 7%) were simplified or subsumed later,
% 278.43/278.77 ; 44102 (93%) are still being kept.
% 278.43/278.77 ;
% 278.43/278.77 ; Run time in seconds excluding printing time:
% 278.43/278.77 ; 0.006 0% Read assertion file (1 call)
% 278.43/278.77 ; 0.002 0% Assert (34 calls)
% 278.43/278.77 ; 5.436 2% Process new row (870,197 calls)
% 278.43/278.77 ; 261.948 94% Resolution (280 calls)
% 278.43/278.77 ; 0.015 0% Paramodulation (140 calls)
% 278.43/278.78 ; 0.003 0% Condensing (20 calls)
% 278.43/278.78 ; 0.000 0% Forward subsumption (20 calls)
% 278.43/278.78 ; 0.000 0% Backward subsumption (18 calls)
% 278.43/278.78 ; 0.001 0% Clause clause subsumption (16 calls)
% 278.43/278.78 ; 6.443 2% Forward simplification (870,197 calls)
% 278.43/278.78 ; 1.702 1% Backward simplification (47,400 calls)
% 278.43/278.78 ; 0.000 0% Sortal reasoning (32 calls)
% 278.43/278.78 ; 0.000 0% Purity testing (1 call)
% 278.43/278.78 ; 2.570 1% Other
% 278.43/278.78 ; 278.126 Total
% 278.43/278.78 ; 278.299 Real time
% 278.43/278.78 ;
% 278.43/278.78 ; Term-hash-array has 59,882 terms in all.
% 278.43/278.78 ; Feature-vector-row-index has 18 entries (18 at peak, 18 added, 0 deleted).
% 278.43/278.78 ; Feature-vector-row-index has 26 nodes (26 at peak, 26 added, 0 deleted).
% 278.43/278.78 ; Retrieved 9 possibly forward subsuming rows in 20 calls.
% 278.43/278.78 ; Retrieved 7 possibly backward subsumed rows in 18 calls.
% 278.43/278.78 ; Path-index has 56,003 entries (56,003 at peak, 60,214 added, 4,211 deleted).
% 278.43/278.78 ; Path-index has 10,000 nodes (10,000 at peak, 10,075 added, 75 deleted).
% 278.43/278.78 ; Trie-index has 56,003 entries (56,003 at peak, 60,214 added, 4,211 deleted).
% 278.43/278.78 ; Trie-index has 171,552 nodes (171,552 at peak, 182,402 added, 10,850 deleted).
% 278.43/278.78 ; Retrieved 1,344,806 generalization terms in 870,397 calls.
% 278.43/278.78 ; Retrieved 97,717 instance terms in 47,381 calls.
% 278.43/278.78 ; Retrieved 414,831,337 unifiable terms in 1,193,902 calls.
% 278.43/278.78 ;
% 278.43/278.78 ; The agenda of rows to process has 7648 entries:
% 278.43/278.78 ; 389 with value 12 477 with value 16 500 with value 20
% 278.43/278.78 ; 866 with value 13 751 with value 17 184 with value 21
% 278.43/278.78 ; 1565 with value 14 724 with value 18 100 with value 22
% 278.43/278.78 ; 1172 with value 15 848 with value 19 72 with value 23
% 278.43/278.78 ; The agenda of rows to give has 43961 entries:
% 278.43/278.78 ; 96 with value (4 11) 3750 with value (4 16) 3404 with value (4 21)
% 278.43/278.78 ; 255 with value (4 12) 7014 with value (4 17) 1218 with value (4 22)
% 278.43/278.78 ; 506 with value (4 13) 8744 with value (4 18) 472 with value (4 23)
% 278.43/278.78 ; 936 with value (4 14) 8040 with value (4 19) 92 with value (4 24)
% 278.43/278.78 ; 2461 with value (4 15) 6957 with value (4 20) 16 with value (4 25)
% 278.43/278.78 Evaluation took:
% 278.43/278.78 278.302 seconds of real time
% 278.43/278.78 273.60754 seconds of user run time
% 278.43/278.78 4.521709 seconds of system run time
% 278.43/278.78 [Run times include 16.292 seconds GC run time.]
% 278.43/278.78 0 calls to %EVAL
% 278.43/278.78 0 page faults and
% 278.43/278.78 5,672,727,112 bytes consed.
% 278.43/278.78 :PROOF-FOUND
% 278.43/278.78 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-30T16:29:55
% 278.43/278.78 :PROOF-FOUND
% 278.43/278.78 *
%------------------------------------------------------------------------------