TSTP Solution File: ALG398-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : ALG398-1 : TPTP v8.1.0. Released v4.1.0.
% 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 : Thu Jul 14 18:00:43 EDT 2022
% Result : Unsatisfiable 0.60s 0.84s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 11
% Syntax : Number of clauses : 17 ( 13 unt; 1 nHn; 10 RR)
% Number of literals : 22 ( 13 equ; 7 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-3 aty)
% Number of variables : 19 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_mult__1__left_0,axiom,
( ~ class_OrderedGroup_Omonoid__mult(X)
| c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X),Y,X) = Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__1__left_0) ).
cnf(cls_pc0_0,axiom,
c_Polynomial_Opoly(v_pa____,v_c____,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_pc0_0) ).
cnf(cls_pqc0_0,axiom,
c_Polynomial_Opoly(v_pa____,v_c____,tc_Complex_Ocomplex) = c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_pqc0_0) ).
cnf(cls_left__inverse_0,axiom,
( ~ class_Ring__and__Field_Odivision__ring(X)
| c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(Y,X),Y,X) = c_HOL_Oone__class_Oone(X)
| Y = c_HOL_Ozero__class_Ozero(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_left__inverse_0) ).
cnf(cls_class__semiring_Osemiring__rules_I16_J_0,axiom,
( ~ class_Ring__and__Field_Ocomm__semiring__1(X)
| c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(Y,Z,X),U,X) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(Y,U,X),Z,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I16_J_0) ).
cnf(cls_poly__smult_0,axiom,
( ~ class_Ring__and__Field_Ocomm__semiring__0(X)
| c_Polynomial_Opoly(c_Polynomial_Osmult(Y,Z,X),U,X) = c_HOL_Otimes__class_Otimes(Y,c_Polynomial_Opoly(Z,U,X),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_poly__smult_0) ).
cnf(cls_conjecture_0,negated_conjecture,
c_Polynomial_Opoly(v_q____,v_x,tc_Complex_Ocomplex) != c_HOL_Otimes__class_Otimes(c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),v_x,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(586,plain,
c_Polynomial_Opoly(v_q____,v_x,tc_Complex_Ocomplex) != c_HOL_Otimes__class_Otimes(c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_pa____,v_c____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),v_x,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_pa____,v_c____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference('REWRITE',[status(thm)],[cls_conjecture_0,cls_pqc0_0,theory(equality)]) ).
cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__1,axiom,
class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__1) ).
cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__0,axiom,
class_Ring__and__Field_Ocomm__semiring__0(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__0) ).
cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Odivision__ring,axiom,
class_Ring__and__Field_Odivision__ring(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Odivision__ring) ).
cnf(clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__mult,axiom,
class_OrderedGroup_Omonoid__mult(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__mult) ).
cnf(793,plain,
c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X,tc_Complex_Ocomplex) = X,
inference('HYPERRESOLVE',[status(thm)],[cls_mult__1__left_0,clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__mult]) ).
cnf(927,plain,
c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_pa____,v_c____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Polynomial_Opoly(v_pa____,v_c____,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),
inference('UR-RESOLVE',[status(thm)],[cls_left__inverse_0,clsarity_Complex__Ocomplex__Ring__and__Field_Odivision__ring,cls_pc0_0]) ).
cnf(933,plain,
c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X,Y,tc_Complex_Ocomplex),Z,tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X,Z,tc_Complex_Ocomplex),Y,tc_Complex_Ocomplex),
inference('HYPERRESOLVE',[status(thm)],[cls_class__semiring_Osemiring__rules_I16_J_0,clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__1]) ).
cnf(935,plain,
c_Polynomial_Opoly(c_Polynomial_Osmult(X,Y,tc_Complex_Ocomplex),Z,tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(X,c_Polynomial_Opoly(Y,Z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference('HYPERRESOLVE',[status(thm)],[cls_poly__smult_0,clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__0]) ).
cnf(936,plain,
$false,
inference('REWRITE',[status(thm)],[586,793,927,933,935,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : ALG398-1 : TPTP v8.1.0. Released v4.1.0.
% 0.10/0.13 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n024.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Thu Jun 9 00:20:04 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.18/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.46 *
% 0.18/0.46 *
% 0.18/0.46 #<PACKAGE "SNARK-USER">
% 0.18/0.46 *
% 0.18/0.46 SNARK-TPTP-OPTIONS
% 0.18/0.46 *
% 0.18/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46 (USE-FACTORING :POS)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46 *
% 0.18/0.46 "."
% 0.18/0.46 *
% 0.18/0.46 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-09T00:20:04
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n024.cluster.edu at 2022-06-09T00:20:04
% 0.46/0.68 WARNING:
% 0.46/0.68 |class_OrderedGroup_Oab__semigroup__idem__mult| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.46/0.68 WARNING:
% 0.46/0.68 |class_Lattices_Oboolean__algebra| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.46/0.68 WARNING:
% 0.46/0.68 |class_OrderedGroup_Olordered__ab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.46/0.68 WARNING:
% 0.46/0.68 |class_OrderedGroup_Olordered__ab__group__add__abs| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.46/0.68 WARNING:
% 0.46/0.68 |class_Ring__and__Field_Olordered__ring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.46/0.68 WARNING:
% 0.46/0.68 |class_Ring__and__Field_Oordered__field| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.60/0.84
% 0.60/0.84
% 0.60/0.84 #||
% 0.60/0.84 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.60/0.84 % SZS output start Refutation
% See solution above
% 0.60/0.84 ||#
% 0.60/0.84
% 0.60/0.84 ; Summary of computation:
% 0.60/0.84 ; 1560 formulas have been input or derived (from 431 formulas).
% 0.60/0.84 ; 936 (60%) were retained. Of these,
% 0.60/0.84 ; 18 ( 2%) were simplified or subsumed later,
% 0.60/0.84 ; 918 (98%) are still being kept.
% 0.60/0.84 ;
% 0.60/0.84 ; Run time in seconds excluding printing time:
% 0.60/0.84 ; 0.184 49% Read assertion file (1 call)
% 0.60/0.84 ; 0.019 5% Assert (959 calls)
% 0.60/0.84 ; 0.053 14% Process new row (1,416 calls)
% 0.60/0.84 ; 0.028 7% Resolution (860 calls)
% 0.60/0.84 ; 0.002 1% Paramodulation (430 calls)
% 0.60/0.84 ; 0.009 2% Condensing (731 calls)
% 0.60/0.84 ; 0.012 3% Forward subsumption (731 calls)
% 0.60/0.84 ; 0.010 3% Backward subsumption (654 calls)
% 0.60/0.84 ; 0.005 1% Clause clause subsumption (695 calls)
% 0.60/0.84 ; 0.019 5% Forward simplification (1,258 calls)
% 0.60/0.84 ; 0.003 1% Backward simplification (935 calls)
% 0.60/0.84 ; 0.003 1% Ordering (517 calls)
% 0.60/0.84 ; 0.000 0% Sortal reasoning (32 calls)
% 0.60/0.84 ; 0.003 1% Purity testing (1 call)
% 0.60/0.84 ; 0.025 7% Other
% 0.60/0.84 ; 0.375 Total
% 0.60/0.84 ; 0.377 Real time
% 0.60/0.84 ;
% 0.60/0.84 ; Term-hash-array has 1,609 terms in all.
% 0.60/0.84 ; Feature-vector-row-index has 650 entries (650 at peak, 654 added, 4 deleted).
% 0.60/0.84 ; Feature-vector-row-index has 2,078 nodes (2,078 at peak, 2,097 added, 19 deleted).
% 0.60/0.84 ; Retrieved 520 possibly forward subsuming rows in 731 calls.
% 0.60/0.84 ; Retrieved 430 possibly backward subsumed rows in 654 calls.
% 0.60/0.84 ; Path-index has 1,586 entries (1,591 at peak, 1,628 added, 42 deleted).
% 0.60/0.84 ; Path-index has 4,705 nodes (4,733 at peak, 4,768 added, 63 deleted).
% 0.60/0.84 ; Trie-index has 1,586 entries (1,591 at peak, 1,628 added, 42 deleted).
% 0.60/0.84 ; Trie-index has 6,300 nodes (6,356 at peak, 6,512 added, 212 deleted).
% 0.60/0.84 ; Retrieved 698 generalization terms in 1,689 calls.
% 0.60/0.84 ; Retrieved 372 instance terms in 304 calls.
% 0.60/0.84 ; Retrieved 28,035 unifiable terms in 2,151 calls.
% 0.60/0.84 ;
% 0.60/0.84 ; The agenda of rows to process has 2 entries:
% 0.60/0.84 ; 2 with value 19
% 0.60/0.84 ; The agenda of input rows to give has 274 entries:
% 0.60/0.84 ; 1 with value 21 8 with value 30 14 with value 39
% 0.60/0.84 ; 25 with value 22 4 with value 31 3 with value 42
% 0.60/0.84 ; 8 with value 23 4 with value 32 3 with value 43
% 0.60/0.84 ; 36 with value 24 8 with value 33 1 with value 44
% 0.60/0.84 ; 25 with value 25 6 with value 34 1 with value 45
% 0.60/0.84 ; 21 with value 26 5 with value 35 2 with value 46
% 0.60/0.84 ; 75 with value 27 1 with value 36 1 with value 47
% 0.60/0.84 ; 8 with value 28 7 with value 37 1 with value 52
% 0.60/0.84 ; 5 with value 29 1 with value 38
% 0.60/0.84 ; The agenda of rows to give has 213 entries:
% 0.60/0.84 ; 53 with value (4 6) 11 with value (4 13) 27 with value (4 19)
% 0.60/0.84 ; 6 with value (4 8) 10 with value (4 14) 2 with value (4 20)
% 0.60/0.84 ; 4 with value (4 9) 12 with value (4 15) 2 with value (4 24)
% 0.60/0.84 ; 6 with value (4 10) 17 with value (4 16) 2 with value (4 26)
% 0.60/0.84 ; 20 with value (4 11) 15 with value (4 17) 1 with value (4 27)
% 0.60/0.84 ; 16 with value (4 12) 8 with value (4 18) 1 with value (4 28)
% 0.60/0.84 Evaluation took:
% 0.60/0.84 0.377 seconds of real time
% 0.60/0.84 0.35119 seconds of user run time
% 0.60/0.84 0.026265 seconds of system run time
% 0.60/0.84 [Run times include 0.005 seconds GC run time.]
% 0.60/0.84 0 calls to %EVAL
% 0.60/0.85 0 page faults and
% 0.60/0.85 24,972,392 bytes consed.
% 0.60/0.85 :PROOF-FOUND
% 0.60/0.85 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-09T00:20:05
% 0.60/0.85 :PROOF-FOUND
% 0.60/0.85 *
%------------------------------------------------------------------------------