TSTP Solution File: ALG380-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : ALG380-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n023.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 18:00:41 EDT 2022
% Result : Unsatisfiable 0.77s 0.94s
% Output : Refutation 0.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 8
% Syntax : Number of clauses : 11 ( 9 unt; 1 nHn; 5 RR)
% Number of literals : 13 ( 8 equ; 4 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 5 con; 0-3 aty)
% Number of variables : 12 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_real__sqrt__mult_0,axiom,
c_NthRoot_Osqrt(c_HOL_Otimes__class_Otimes(X,Y,tc_RealDef_Oreal)) = c_HOL_Otimes__class_Otimes(c_NthRoot_Osqrt(X),c_NthRoot_Osqrt(Y),tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_real__sqrt__mult_0) ).
cnf(cls_rcis__mult_0,axiom,
c_HOL_Otimes__class_Otimes(c_Complex_Orcis(X,Y),c_Complex_Orcis(Z,U),tc_Complex_Ocomplex) = c_Complex_Orcis(c_HOL_Otimes__class_Otimes(X,Z,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(Y,U,tc_RealDef_Oreal)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rcis__mult_0) ).
cnf(cls_abs__not__less__zero_0,axiom,
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(Y,X),c_HOL_Ozero__class_Ozero(X),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_abs__not__less__zero_0) ).
cnf(cls_real__abs__def_1,axiom,
( c_HOL_Oabs__class_Oabs(X,tc_RealDef_Oreal) = X
| c_HOL_Oord__class_Oless(X,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_real__abs__def_1) ).
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__sum__of__halves_0,axiom,
c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_real__sum__of__halves_0) ).
cnf(cls_conjecture_0,negated_conjecture,
c_HOL_Otimes__class_Otimes(c_Complex_Orcis(c_NthRoot_Osqrt(c_HOL_Oabs__class_Oabs(v_r,tc_RealDef_Oreal)),c_HOL_Oinverse__class_Odivide(v_a,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal)),c_Complex_Orcis(c_NthRoot_Osqrt(c_HOL_Oabs__class_Oabs(v_r,tc_RealDef_Oreal)),c_HOL_Oinverse__class_Odivide(v_a,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal)),tc_Complex_Ocomplex) != c_Complex_Orcis(c_HOL_Oabs__class_Oabs(v_r,tc_RealDef_Oreal),v_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(867,plain,
c_Complex_Orcis(c_HOL_Oabs__class_Oabs(c_HOL_Oabs__class_Oabs(v_r,tc_RealDef_Oreal),tc_RealDef_Oreal),v_a) != c_Complex_Orcis(c_HOL_Oabs__class_Oabs(v_r,tc_RealDef_Oreal),v_a),
inference('REWRITE',[status(thm)],[cls_conjecture_0,cls_real__sum__of__halves_0,cls_real__sqrt__abs2_0,cls_real__sqrt__mult_0,cls_rcis__mult_0,theory(equality)]) ).
cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__group__add__abs,axiom,
class_OrderedGroup_Opordered__ab__group__add__abs(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__group__add__abs) ).
cnf(1290,plain,
c_HOL_Oabs__class_Oabs(c_HOL_Oabs__class_Oabs(X,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oabs__class_Oabs(X,tc_RealDef_Oreal),
inference('HYPERRESOLVE',[status(thm)],[cls_abs__not__less__zero_0,cls_real__abs__def_1,clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__group__add__abs]) ).
cnf(1291,plain,
$false,
inference('REWRITE',[status(thm)],[867,1290,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : ALG380-1 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n023.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 : Wed Jun 8 00:34:38 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.20/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.46 *
% 0.20/0.46 *
% 0.20/0.46 #<PACKAGE "SNARK-USER">
% 0.20/0.46 *
% 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 2022-06-08T00:34:38
% 0.20/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n023.cluster.edu at 2022-06-08T00:34:38
% 0.55/0.73 WARNING:
% 0.55/0.73 |class_OrderedGroup_Oab__semigroup__idem__mult| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.77/0.94
% 0.77/0.94
% 0.77/0.94 #||
% 0.77/0.94 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.77/0.94 % SZS output start Refutation
% See solution above
% 0.77/0.94 ||#
% 0.77/0.94
% 0.77/0.94 ; Summary of computation:
% 0.77/0.94 ; 2041 formulas have been input or derived (from 337 formulas).
% 0.77/0.94 ; 1291 (63%) were retained. Of these,
% 0.77/0.94 ; 63 ( 5%) were simplified or subsumed later,
% 0.77/0.94 ; 1228 (95%) are still being kept.
% 0.77/0.94 ;
% 0.77/0.94 ; Run time in seconds excluding printing time:
% 0.77/0.94 ; 0.221 46% Read assertion file (1 call)
% 0.77/0.94 ; 0.028 6% Assert (1,216 calls)
% 0.77/0.94 ; 0.087 18% Process new row (1,912 calls)
% 0.77/0.94 ; 0.013 3% Resolution (672 calls)
% 0.77/0.94 ; 0.000 0% Paramodulation (336 calls)
% 0.77/0.94 ; 0.000 0% Factoring (2 calls)
% 0.77/0.94 ; 0.011 2% Condensing (928 calls)
% 0.77/0.94 ; 0.022 5% Forward subsumption (928 calls)
% 0.77/0.94 ; 0.018 4% Backward subsumption (756 calls)
% 0.77/0.94 ; 0.005 1% Clause clause subsumption (1,190 calls)
% 0.77/0.94 ; 0.026 5% Forward simplification (1,910 calls)
% 0.77/0.94 ; 0.007 1% Backward simplification (1,283 calls)
% 0.77/0.94 ; 0.003 1% Ordering (470 calls)
% 0.77/0.94 ; 0.000 0% Sortal reasoning (32 calls)
% 0.77/0.94 ; 0.003 1% Purity testing (1 call)
% 0.77/0.94 ; 0.035 7% Other
% 0.77/0.94 ; 0.479 Total
% 0.77/0.94 ; 0.481 Real time
% 0.77/0.94 ;
% 0.77/0.95 ; Term-hash-array has 1,961 terms in all.
% 0.77/0.95 ; Feature-vector-row-index has 724 entries (724 at peak, 756 added, 32 deleted).
% 0.77/0.95 ; Feature-vector-row-index has 3,159 nodes (3,159 at peak, 3,342 added, 183 deleted).
% 0.77/0.95 ; Retrieved 987 possibly forward subsuming rows in 928 calls.
% 0.77/0.95 ; Retrieved 692 possibly backward subsumed rows in 756 calls.
% 0.77/0.95 ; Path-index has 1,884 entries (1,889 at peak, 2,003 added, 119 deleted).
% 0.77/0.95 ; Path-index has 8,190 nodes (8,202 at peak, 8,486 added, 296 deleted).
% 0.77/0.95 ; Trie-index has 1,884 entries (1,889 at peak, 2,003 added, 119 deleted).
% 0.77/0.95 ; Trie-index has 9,487 nodes (9,512 at peak, 10,365 added, 878 deleted).
% 0.77/0.95 ; Retrieved 776 generalization terms in 5,231 calls.
% 0.77/0.95 ; Retrieved 704 instance terms in 530 calls.
% 0.77/0.95 ; Retrieved 24,305 unifiable terms in 1,992 calls.
% 0.77/0.95 ;
% 0.77/0.95 ; The agenda of rows to process has 10 entries:
% 0.77/0.95 ; 7 with value 15 1 with value 22 1 with value 25
% 0.77/0.95 ; 1 with value 18
% 0.77/0.95 ; The agenda of input rows to give has 675 entries:
% 0.77/0.95 ; 7 with value 14 17 with value 29 1 with value 43
% 0.77/0.95 ; 38 with value 15 31 with value 30 1 with value 44
% 0.77/0.95 ; 19 with value 16 14 with value 31 2 with value 46
% 0.77/0.95 ; 23 with value 17 6 with value 32 1 with value 47
% 0.77/0.95 ; 35 with value 18 11 with value 33 1 with value 50
% 0.77/0.95 ; 22 with value 19 15 with value 34 1 with value 51
% 0.77/0.95 ; 47 with value 20 6 with value 35 2 with value 53
% 0.77/0.95 ; 37 with value 21 14 with value 36 1 with value 54
% 0.77/0.95 ; 34 with value 22 12 with value 37 1 with value 66
% 0.77/0.95 ; 7 with value 23 21 with value 38 1 with value 69
% 0.77/0.95 ; 54 with value 24 18 with value 39 1 with value 72
% 0.77/0.95 ; 37 with value 25 9 with value 40 1 with value 82
% 0.77/0.95 ; 16 with value 26 2 with value 41 1 with value 116
% 0.77/0.95 ; 94 with value 27 5 with value 42 1 with value 210
% 0.77/0.95 ; 8 with value 28
% 0.77/0.95 ; The agenda of rows to give has 218 entries:
% 0.77/0.95 ; 1 with value (4 5) 60 with value (4 11) 4 with value (4 17)
% 0.77/0.95 ; 7 with value (4 6) 28 with value (4 12) 2 with value (4 18)
% 0.77/0.95 ; 8 with value (4 7) 6 with value (4 13) 5 with value (4 19)
% 0.77/0.95 ; 22 with value (4 8) 6 with value (4 14) 1 with value (4 20)
% 0.77/0.95 ; 38 with value (4 9) 3 with value (4 15) 2 with value (4 22)
% 0.77/0.95 ; 18 with value (4 10) 5 with value (4 16) 2 with value (4 24)
% 0.77/0.95 Evaluation took:
% 0.77/0.95 0.481 seconds of real time
% 0.77/0.95 0.457806 seconds of user run time
% 0.77/0.95 0.0231 seconds of system run time
% 0.77/0.95 [Run times include 0.018 seconds GC run time.]
% 0.77/0.95 0 calls to %EVAL
% 0.77/0.95 0 page faults and
% 0.77/0.95 34,185,080 bytes consed.
% 0.77/0.95 :PROOF-FOUND
% 0.77/0.95 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-08T00:34:39
% 0.77/0.95 :PROOF-FOUND
% 0.77/0.95 *
%------------------------------------------------------------------------------