TSTP Solution File: SWV603-1 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SWV603-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n004.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 : Wed Jul 20 21:35:25 EDT 2022
% Result : Unsatisfiable 0.72s 0.90s
% Output : Refutation 0.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 8
% Syntax : Number of clauses : 11 ( 9 unt; 0 nHn; 10 RR)
% Number of literals : 13 ( 5 equ; 3 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 5 con; 0-3 aty)
% Number of variables : 4 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_zero__less__one_0,axiom,
( ~ class_Ring__and__Field_Oordered__semidom(X)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X),c_HOL_Oone__class_Oone(X),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_zero__less__one_0) ).
cnf(cls_not__real__square__gt__zero_1,axiom,
~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_not__real__square__gt__zero_1) ).
cnf(cls_real__sqrt__less__iff_0,axiom,
( c_HOL_Oord__class_Oless(X,Y,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X),c_NthRoot_Osqrt(Y),tc_RealDef_Oreal) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_real__sqrt__less__iff_0) ).
cnf(cls_real__sqrt__abs2_0,axiom,
c_NthRoot_Osqrt(c_HOL_Otimes__class_Otimes(X,X,tc_RealDef_Oreal)) = c_HOL_Oabs__class_Oabs(X,tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_real__sqrt__abs2_0) ).
cnf(cls_real__sqrt__zero_0,axiom,
c_NthRoot_Osqrt(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_real__sqrt__zero_0) ).
cnf(cls_conjecture_0,negated_conjecture,
c_Transcendental_Ocos(c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),c_RealDef_Oreal(v_n,tc_nat),tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_conjecture_1,negated_conjecture,
c_HOL_Oabs__class_Oabs(c_Transcendental_Ocos(c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),c_RealDef_Oreal(v_n,tc_nat),tc_RealDef_Oreal)),tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(784,plain,
c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal),
inference('REWRITE',[status(thm)],[cls_conjecture_1,cls_conjecture_0,theory(equality)]) ).
cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__semidom,axiom,
class_Ring__and__Field_Oordered__semidom(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Oordered__semidom) ).
cnf(971,plain,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),
inference('HYPERRESOLVE',[status(thm)],[cls_zero__less__one_0,clsarity_RealDef__Oreal__Ring__and__Field_Oordered__semidom]) ).
cnf(1081,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[cls_real__sqrt__less__iff_0,cls_not__real__square__gt__zero_1]),971,784,cls_real__sqrt__abs2_0,cls_real__sqrt__zero_0,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWV603-1 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.13 % Command : run-snark %s %d
% 0.14/0.34 % Computer : n004.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Tue Jun 14 17:49:54 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.46 *
% 0.20/0.46 *
% 0.20/0.47 #<PACKAGE "SNARK-USER">
% 0.20/0.47 *
% 0.20/0.47 SNARK-TPTP-OPTIONS
% 0.20/0.47 *
% 0.20/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47 (USE-FACTORING :POS)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47 *
% 0.20/0.47 "."
% 0.20/0.47 *
% 0.20/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-14T17:49:54
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n004.cluster.edu at 2022-06-14T17:49:54
% 0.57/0.72 WARNING:
% 0.57/0.72 |class_OrderedGroup_Oab__semigroup__idem__mult| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.57/0.72 WARNING:
% 0.57/0.72 |class_Lattices_Oboolean__algebra| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.72/0.90
% 0.72/0.90
% 0.72/0.90 #||
% 0.72/0.90 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.72/0.90 % SZS output start Refutation
% See solution above
% 0.72/0.90 ||#
% 0.72/0.90
% 0.72/0.90 ; Summary of computation:
% 0.72/0.90 ; 1495 formulas have been input or derived (from 246 formulas).
% 0.72/0.90 ; 1081 (72%) were retained. Of these,
% 0.72/0.90 ; 52 ( 5%) were simplified or subsumed later,
% 0.72/0.90 ; 1029 (95%) are still being kept.
% 0.72/0.90 ;
% 0.72/0.90 ; Run time in seconds excluding printing time:
% 0.72/0.90 ; 0.206 48% Read assertion file (1 call)
% 0.72/0.90 ; 0.029 7% Assert (1,111 calls)
% 0.72/0.90 ; 0.068 16% Process new row (1,419 calls)
% 0.72/0.90 ; 0.013 3% Resolution (490 calls)
% 0.72/0.90 ; 0.004 1% Paramodulation (245 calls)
% 0.72/0.90 ; 0.000 0% Factoring (1 call)
% 0.72/0.90 ; 0.019 4% Condensing (834 calls)
% 0.72/0.90 ; 0.018 4% Forward subsumption (834 calls)
% 0.72/0.90 ; 0.015 3% Backward subsumption (657 calls)
% 0.72/0.90 ; 0.007 2% Clause clause subsumption (1,144 calls)
% 0.72/0.90 ; 0.015 3% Forward simplification (1,415 calls)
% 0.72/0.90 ; 0.003 1% Backward simplification (1,066 calls)
% 0.72/0.90 ; 0.002 0% Ordering (391 calls)
% 0.72/0.90 ; 0.000 0% Sortal reasoning (32 calls)
% 0.72/0.90 ; 0.002 0% Purity testing (1 call)
% 0.72/0.90 ; 0.029 7% Other
% 0.72/0.90 ; 0.430 Total
% 0.72/0.90 ; 0.432 Real time
% 0.72/0.90 ;
% 0.72/0.90 ; Term-hash-array has 1,644 terms in all.
% 0.72/0.90 ; Feature-vector-row-index has 636 entries (636 at peak, 657 added, 21 deleted).
% 0.72/0.90 ; Feature-vector-row-index has 2,493 nodes (2,493 at peak, 2,610 added, 117 deleted).
% 0.72/0.90 ; Retrieved 1,139 possibly forward subsuming rows in 834 calls.
% 0.72/0.90 ; Retrieved 507 possibly backward subsumed rows in 657 calls.
% 0.72/0.90 ; Path-index has 1,591 entries (1,591 at peak, 1,688 added, 97 deleted).
% 0.72/0.90 ; Path-index has 5,206 nodes (5,206 at peak, 5,332 added, 126 deleted).
% 0.72/0.90 ; Trie-index has 1,591 entries (1,591 at peak, 1,688 added, 97 deleted).
% 0.72/0.90 ; Trie-index has 6,729 nodes (6,729 at peak, 7,226 added, 497 deleted).
% 0.72/0.90 ; Retrieved 646 generalization terms in 4,214 calls.
% 0.72/0.90 ; Retrieved 450 instance terms in 412 calls.
% 0.72/0.90 ; Retrieved 17,915 unifiable terms in 1,275 calls.
% 0.72/0.90 ;
% 0.72/0.90 ; The agenda of rows to process has 2 entries:
% 0.72/0.90 ; 2 with value 19
% 0.72/0.90 ; The agenda of input rows to give has 664 entries:
% 0.72/0.90 ; 27 with value 13 12 with value 26 17 with value 39
% 0.72/0.90 ; 31 with value 14 86 with value 27 9 with value 40
% 0.72/0.90 ; 40 with value 15 10 with value 28 1 with value 42
% 0.72/0.90 ; 16 with value 16 10 with value 29 3 with value 43
% 0.72/0.90 ; 26 with value 17 27 with value 30 1 with value 44
% 0.72/0.90 ; 54 with value 18 9 with value 31 1 with value 45
% 0.72/0.90 ; 39 with value 19 5 with value 32 2 with value 46
% 0.72/0.90 ; 35 with value 20 7 with value 33 1 with value 47
% 0.72/0.90 ; 29 with value 21 8 with value 34 2 with value 48
% 0.72/0.90 ; 17 with value 22 6 with value 35 1 with value 51
% 0.72/0.90 ; 8 with value 23 13 with value 36 2 with value 54
% 0.72/0.90 ; 54 with value 24 8 with value 37 1 with value 70
% 0.72/0.90 ; 26 with value 25 19 with value 38 1 with value 83
% 0.72/0.90 ; The agenda of rows to give has 119 entries:
% 0.72/0.90 ; 4 with value (4 6) 13 with value (4 12) 2 with value (4 17)
% 0.72/0.90 ; 5 with value (4 8) 9 with value (4 13) 3 with value (4 18)
% 0.72/0.90 ; 24 with value (4 9) 10 with value (4 14) 3 with value (4 19)
% 0.72/0.90 ; 10 with value (4 10) 9 with value (4 15) 1 with value (4 22)
% 0.72/0.90 ; 24 with value (4 11) 2 with value (4 16)
% 0.72/0.90 Evaluation took:
% 0.72/0.90 0.433 seconds of real time
% 0.72/0.90 0.424617 seconds of user run time
% 0.72/0.90 0.007602 seconds of system run time
% 0.72/0.90 [Run times include 0.016 seconds GC run time.]
% 0.72/0.90 0 calls to %EVAL
% 0.72/0.90 0 page faults and
% 0.72/0.90 29,153,800 bytes consed.
% 0.72/0.90 :PROOF-FOUND
% 0.72/0.90 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-14T17:49:54
% 0.72/0.90 :PROOF-FOUND
% 0.72/0.90 *
%------------------------------------------------------------------------------