TSTP Solution File: SWV592-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SWV592-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n025.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 : 300s
% DateTime : Tue Aug 22 11:05:16 EDT 2023
% Result : Unsatisfiable 16.04s 5.08s
% Output : CNFRefutation 16.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 101
% Syntax : Number of formulae : 120 ( 24 unt; 93 typ; 0 def)
% Number of atoms : 30 ( 24 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 9 ( 6 ~; 3 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 116 ( 89 >; 27 *; 0 +; 0 <<)
% Number of predicates : 71 ( 69 usr; 1 prp; 0-3 aty)
% Number of functors : 24 ( 24 usr; 4 con; 0-3 aty)
% Number of variables : 25 (; 25 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ c_lessequals > c_Ring__and__Field_Odvd__class_Odvd > c_HOL_Oord__class_Oless > class_Ring__and__Field_Osgn__if > class_Ring__and__Field_Osemiring > class_Ring__and__Field_Oring__no__zero__divisors > class_Ring__and__Field_Oring > class_Ring__and__Field_Opordered__semiring > class_Ring__and__Field_Opordered__ring__abs > class_Ring__and__Field_Opordered__ring > class_Ring__and__Field_Opordered__cancel__semiring > class_Ring__and__Field_Oordered__semiring__strict > class_Ring__and__Field_Oordered__semiring > class_Ring__and__Field_Oordered__semidom > class_Ring__and__Field_Oordered__ring__strict > class_Ring__and__Field_Oordered__idom > class_Ring__and__Field_Oordered__field > class_Ring__and__Field_Oordered__comm__semiring__strict > class_Ring__and__Field_Ono__zero__divisors > class_Ring__and__Field_Omult__zero > class_Ring__and__Field_Omult__mono1 > class_Ring__and__Field_Omult__mono > class_Ring__and__Field_Olordered__ring > class_Ring__and__Field_Oidom > class_Ring__and__Field_Ofield > class_Ring__and__Field_Odvd > class_Ring__and__Field_Odivision__ring > class_Ring__and__Field_Odivision__by__zero > class_Ring__and__Field_Ocomm__semiring__1 > class_Ring__and__Field_Ocomm__semiring > class_Ring__and__Field_Ocomm__ring__1 > class_Ring__and__Field_Ocomm__ring > class_Ring__and__Field_Oabs__if > class_RealVector_Oreal__vector > class_RealVector_Oreal__normed__vector > class_RealVector_Oreal__normed__field > class_RealVector_Oreal__normed__div__algebra > class_RealVector_Oreal__normed__algebra > class_RealVector_Oreal__field > class_RealVector_Oreal__algebra__1 > class_RealVector_Oreal__algebra > class_Orderings_Opreorder > class_Orderings_Oorder > class_Orderings_Olinorder > class_OrderedGroup_Opordered__comm__monoid__add > class_OrderedGroup_Opordered__cancel__ab__semigroup__add > class_OrderedGroup_Opordered__ab__semigroup__add__imp__le > class_OrderedGroup_Opordered__ab__semigroup__add > class_OrderedGroup_Opordered__ab__group__add__abs > class_OrderedGroup_Opordered__ab__group__add > class_OrderedGroup_Oordered__ab__group__add > class_OrderedGroup_Omonoid__add > class_OrderedGroup_Olordered__ab__group__add__meet > class_OrderedGroup_Olordered__ab__group__add__abs > class_OrderedGroup_Olordered__ab__group__add > class_OrderedGroup_Ogroup__add > class_OrderedGroup_Ocomm__monoid__add > class_OrderedGroup_Ocancel__semigroup__add > class_OrderedGroup_Ocancel__ab__semigroup__add > class_OrderedGroup_Oab__semigroup__mult > class_OrderedGroup_Oab__semigroup__idem__mult > class_OrderedGroup_Oab__semigroup__add > class_OrderedGroup_Oab__group__add > class_Lattices_Olower__semilattice > class_Lattices_Olattice > class_Lattices_Oboolean__algebra > class_Int_Onumber__ring > class_Divides_Osemiring__div > class_Divides_Oring__div > c_RealVector_OscaleR__class_OscaleR > c_Lattices_Olower__semilattice__class_Oinf > c_HOL_Otimes__class_Otimes > c_HOL_Oplus__class_Oplus > c_HOL_Ominus__class_Ominus > c_HOL_Oinverse__class_Odivide > c_Divides_Odiv__class_Omod > c_RealVector_Oof__real > c_RealVector_Onorm__class_Onorm > c_HOL_Ouminus__class_Ouminus > c_HOL_Osgn__class_Osgn > c_HOL_Oinverse__class_Oinverse > c_HOL_Oabs__class_Oabs > c_Fun_Oid > #nlpp > c_Transcendental_Otan > c_Transcendental_Osin > c_Transcendental_Ocos > c_Transcendental_Oarctan > c_NthRoot_Osqrt > c_HOL_Ozero__class_Ozero > v_x > tc_RealDef_Oreal > t_a > c_Transcendental_Opi
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(v_x,type,
v_x: $i ).
tff(class_OrderedGroup_Oab__semigroup__idem__mult,type,
class_OrderedGroup_Oab__semigroup__idem__mult: $i > $o ).
tff(class_OrderedGroup_Oordered__ab__group__add,type,
class_OrderedGroup_Oordered__ab__group__add: $i > $o ).
tff(c_Transcendental_Opi,type,
c_Transcendental_Opi: $i ).
tff(class_Ring__and__Field_Opordered__ring__abs,type,
class_Ring__and__Field_Opordered__ring__abs: $i > $o ).
tff(c_Transcendental_Osin,type,
c_Transcendental_Osin: $i > $i ).
tff(class_Orderings_Olinorder,type,
class_Orderings_Olinorder: $i > $o ).
tff(class_OrderedGroup_Opordered__ab__semigroup__add,type,
class_OrderedGroup_Opordered__ab__semigroup__add: $i > $o ).
tff(class_Int_Onumber__ring,type,
class_Int_Onumber__ring: $i > $o ).
tff(c_HOL_Oord__class_Oless,type,
c_HOL_Oord__class_Oless: ( $i * $i * $i ) > $o ).
tff(c_HOL_Oinverse__class_Oinverse,type,
c_HOL_Oinverse__class_Oinverse: ( $i * $i ) > $i ).
tff(class_OrderedGroup_Ocancel__ab__semigroup__add,type,
class_OrderedGroup_Ocancel__ab__semigroup__add: $i > $o ).
tff(class_Ring__and__Field_Oordered__semiring,type,
class_Ring__and__Field_Oordered__semiring: $i > $o ).
tff(class_Ring__and__Field_Osemiring,type,
class_Ring__and__Field_Osemiring: $i > $o ).
tff(class_RealVector_Oreal__vector,type,
class_RealVector_Oreal__vector: $i > $o ).
tff(c_RealVector_OscaleR__class_OscaleR,type,
c_RealVector_OscaleR__class_OscaleR: ( $i * $i * $i ) > $i ).
tff(class_Ring__and__Field_Ocomm__semiring,type,
class_Ring__and__Field_Ocomm__semiring: $i > $o ).
tff(class_Ring__and__Field_Oring,type,
class_Ring__and__Field_Oring: $i > $o ).
tff(class_RealVector_Oreal__normed__field,type,
class_RealVector_Oreal__normed__field: $i > $o ).
tff(class_OrderedGroup_Opordered__ab__group__add__abs,type,
class_OrderedGroup_Opordered__ab__group__add__abs: $i > $o ).
tff(class_Lattices_Olattice,type,
class_Lattices_Olattice: $i > $o ).
tff(class_OrderedGroup_Oab__semigroup__add,type,
class_OrderedGroup_Oab__semigroup__add: $i > $o ).
tff(t_a,type,
t_a: $i ).
tff(class_OrderedGroup_Olordered__ab__group__add__meet,type,
class_OrderedGroup_Olordered__ab__group__add__meet: $i > $o ).
tff(class_Ring__and__Field_Omult__zero,type,
class_Ring__and__Field_Omult__zero: $i > $o ).
tff(class_OrderedGroup_Olordered__ab__group__add,type,
class_OrderedGroup_Olordered__ab__group__add: $i > $o ).
tff(class_Orderings_Oorder,type,
class_Orderings_Oorder: $i > $o ).
tff(class_Orderings_Opreorder,type,
class_Orderings_Opreorder: $i > $o ).
tff(tc_RealDef_Oreal,type,
tc_RealDef_Oreal: $i ).
tff(class_OrderedGroup_Oab__semigroup__mult,type,
class_OrderedGroup_Oab__semigroup__mult: $i > $o ).
tff(c_HOL_Oinverse__class_Odivide,type,
c_HOL_Oinverse__class_Odivide: ( $i * $i * $i ) > $i ).
tff(class_Ring__and__Field_Odivision__by__zero,type,
class_Ring__and__Field_Odivision__by__zero: $i > $o ).
tff(class_Ring__and__Field_Ono__zero__divisors,type,
class_Ring__and__Field_Ono__zero__divisors: $i > $o ).
tff(class_Ring__and__Field_Oordered__field,type,
class_Ring__and__Field_Oordered__field: $i > $o ).
tff(class_Ring__and__Field_Opordered__ring,type,
class_Ring__and__Field_Opordered__ring: $i > $o ).
tff(class_Ring__and__Field_Oordered__ring__strict,type,
class_Ring__and__Field_Oordered__ring__strict: $i > $o ).
tff(class_Lattices_Oboolean__algebra,type,
class_Lattices_Oboolean__algebra: $i > $o ).
tff(class_OrderedGroup_Opordered__ab__semigroup__add__imp__le,type,
class_OrderedGroup_Opordered__ab__semigroup__add__imp__le: $i > $o ).
tff(class_Ring__and__Field_Oordered__comm__semiring__strict,type,
class_Ring__and__Field_Oordered__comm__semiring__strict: $i > $o ).
tff(class_Ring__and__Field_Ocomm__ring__1,type,
class_Ring__and__Field_Ocomm__ring__1: $i > $o ).
tff(class_Ring__and__Field_Ofield,type,
class_Ring__and__Field_Ofield: $i > $o ).
tff(class_Ring__and__Field_Oordered__idom,type,
class_Ring__and__Field_Oordered__idom: $i > $o ).
tff(class_Divides_Oring__div,type,
class_Divides_Oring__div: $i > $o ).
tff(class_OrderedGroup_Ocancel__semigroup__add,type,
class_OrderedGroup_Ocancel__semigroup__add: $i > $o ).
tff(c_lessequals,type,
c_lessequals: ( $i * $i * $i ) > $o ).
tff(c_Divides_Odiv__class_Omod,type,
c_Divides_Odiv__class_Omod: ( $i * $i * $i ) > $i ).
tff(class_RealVector_Oreal__normed__algebra,type,
class_RealVector_Oreal__normed__algebra: $i > $o ).
tff(class_RealVector_Oreal__normed__div__algebra,type,
class_RealVector_Oreal__normed__div__algebra: $i > $o ).
tff(class_OrderedGroup_Opordered__cancel__ab__semigroup__add,type,
class_OrderedGroup_Opordered__cancel__ab__semigroup__add: $i > $o ).
tff(class_OrderedGroup_Ocomm__monoid__add,type,
class_OrderedGroup_Ocomm__monoid__add: $i > $o ).
tff(class_Ring__and__Field_Oring__no__zero__divisors,type,
class_Ring__and__Field_Oring__no__zero__divisors: $i > $o ).
tff(c_NthRoot_Osqrt,type,
c_NthRoot_Osqrt: $i > $i ).
tff(class_Ring__and__Field_Oidom,type,
class_Ring__and__Field_Oidom: $i > $o ).
tff(class_Ring__and__Field_Oabs__if,type,
class_Ring__and__Field_Oabs__if: $i > $o ).
tff(class_RealVector_Oreal__normed__vector,type,
class_RealVector_Oreal__normed__vector: $i > $o ).
tff(class_OrderedGroup_Omonoid__add,type,
class_OrderedGroup_Omonoid__add: $i > $o ).
tff(c_Transcendental_Otan,type,
c_Transcendental_Otan: $i > $i ).
tff(class_Ring__and__Field_Ocomm__ring,type,
class_Ring__and__Field_Ocomm__ring: $i > $o ).
tff(class_RealVector_Oreal__algebra,type,
class_RealVector_Oreal__algebra: $i > $o ).
tff(class_Ring__and__Field_Oordered__semiring__strict,type,
class_Ring__and__Field_Oordered__semiring__strict: $i > $o ).
tff(class_RealVector_Oreal__algebra__1,type,
class_RealVector_Oreal__algebra__1: $i > $o ).
tff(class_Ring__and__Field_Opordered__cancel__semiring,type,
class_Ring__and__Field_Opordered__cancel__semiring: $i > $o ).
tff(c_HOL_Oplus__class_Oplus,type,
c_HOL_Oplus__class_Oplus: ( $i * $i * $i ) > $i ).
tff(c_HOL_Otimes__class_Otimes,type,
c_HOL_Otimes__class_Otimes: ( $i * $i * $i ) > $i ).
tff(c_Ring__and__Field_Odvd__class_Odvd,type,
c_Ring__and__Field_Odvd__class_Odvd: ( $i * $i * $i ) > $o ).
tff(c_HOL_Ozero__class_Ozero,type,
c_HOL_Ozero__class_Ozero: $i > $i ).
tff(class_Ring__and__Field_Omult__mono1,type,
class_Ring__and__Field_Omult__mono1: $i > $o ).
tff(c_HOL_Osgn__class_Osgn,type,
c_HOL_Osgn__class_Osgn: ( $i * $i ) > $i ).
tff(class_OrderedGroup_Oab__group__add,type,
class_OrderedGroup_Oab__group__add: $i > $o ).
tff(c_Fun_Oid,type,
c_Fun_Oid: ( $i * $i ) > $i ).
tff(c_RealVector_Onorm__class_Onorm,type,
c_RealVector_Onorm__class_Onorm: ( $i * $i ) > $i ).
tff(class_OrderedGroup_Olordered__ab__group__add__abs,type,
class_OrderedGroup_Olordered__ab__group__add__abs: $i > $o ).
tff(class_Ring__and__Field_Olordered__ring,type,
class_Ring__and__Field_Olordered__ring: $i > $o ).
tff(class_Ring__and__Field_Osgn__if,type,
class_Ring__and__Field_Osgn__if: $i > $o ).
tff(class_Ring__and__Field_Odvd,type,
class_Ring__and__Field_Odvd: $i > $o ).
tff(c_HOL_Ouminus__class_Ouminus,type,
c_HOL_Ouminus__class_Ouminus: ( $i * $i ) > $i ).
tff(class_OrderedGroup_Ogroup__add,type,
class_OrderedGroup_Ogroup__add: $i > $o ).
tff(class_Divides_Osemiring__div,type,
class_Divides_Osemiring__div: $i > $o ).
tff(class_Ring__and__Field_Omult__mono,type,
class_Ring__and__Field_Omult__mono: $i > $o ).
tff(c_HOL_Oabs__class_Oabs,type,
c_HOL_Oabs__class_Oabs: ( $i * $i ) > $i ).
tff(c_RealVector_Oof__real,type,
c_RealVector_Oof__real: ( $i * $i ) > $i ).
tff(class_Lattices_Olower__semilattice,type,
class_Lattices_Olower__semilattice: $i > $o ).
tff(class_Ring__and__Field_Ocomm__semiring__1,type,
class_Ring__and__Field_Ocomm__semiring__1: $i > $o ).
tff(class_Ring__and__Field_Odivision__ring,type,
class_Ring__and__Field_Odivision__ring: $i > $o ).
tff(class_Ring__and__Field_Opordered__semiring,type,
class_Ring__and__Field_Opordered__semiring: $i > $o ).
tff(class_RealVector_Oreal__field,type,
class_RealVector_Oreal__field: $i > $o ).
tff(class_OrderedGroup_Opordered__comm__monoid__add,type,
class_OrderedGroup_Opordered__comm__monoid__add: $i > $o ).
tff(c_HOL_Ominus__class_Ominus,type,
c_HOL_Ominus__class_Ominus: ( $i * $i * $i ) > $i ).
tff(class_OrderedGroup_Opordered__ab__group__add,type,
class_OrderedGroup_Opordered__ab__group__add: $i > $o ).
tff(c_Transcendental_Oarctan,type,
c_Transcendental_Oarctan: $i > $i ).
tff(c_Transcendental_Ocos,type,
c_Transcendental_Ocos: $i > $i ).
tff(c_Lattices_Olower__semilattice__class_Oinf,type,
c_Lattices_Olower__semilattice__class_Oinf: ( $i * $i * $i ) > $i ).
tff(class_Ring__and__Field_Oordered__semidom,type,
class_Ring__and__Field_Oordered__semidom: $i > $o ).
tff(f_3273,axiom,
! [V_y] : ( c_Transcendental_Otan(c_Transcendental_Oarctan(V_y)) = V_y ),
file(unknown,unknown) ).
tff(f_6945,axiom,
class_OrderedGroup_Ogroup__add(tc_RealDef_Oreal),
file(unknown,unknown) ).
tff(f_6700,axiom,
! [V_x] : ( c_Transcendental_Oarctan(c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Oarctan(V_x),tc_RealDef_Oreal) ),
file(unknown,unknown) ).
tff(f_6888,axiom,
! [T_a,V_a] :
( ~ class_OrderedGroup_Ogroup__add(T_a)
| ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) = V_a ) ),
file(unknown,unknown) ).
tff(f_6831,axiom,
! [V_x] : ( c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(V_x),tc_RealDef_Oreal) ),
file(unknown,unknown) ).
tff(f_6718,axiom,
! [V_y,V_z] : ( V_y = c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_y,V_z,tc_RealDef_Oreal),V_z,tc_RealDef_Oreal) ),
file(unknown,unknown) ).
tff(f_6824,axiom,
! [V_x] : ( c_Transcendental_Osin(c_HOL_Oplus__class_Oplus(V_x,c_Transcendental_Opi,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(V_x),tc_RealDef_Oreal) ),
file(unknown,unknown) ).
tff(f_6895,axiom,
c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(v_x,c_Transcendental_Opi,tc_RealDef_Oreal)) != c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(v_x),tc_RealDef_Oreal),
file(unknown,unknown) ).
tff(c_740,plain,
! [V_y_1160] : ( c_Transcendental_Otan(c_Transcendental_Oarctan(V_y_1160)) = V_y_1160 ),
inference(cnfTransformation,[status(thm)],[f_3273]) ).
tff(c_1824,plain,
class_OrderedGroup_Ogroup__add(tc_RealDef_Oreal),
inference(cnfTransformation,[status(thm)],[f_6945]) ).
tff(c_1640,plain,
! [V_x_2509] : ( c_HOL_Ouminus__class_Ouminus(c_Transcendental_Oarctan(V_x_2509),tc_RealDef_Oreal) = c_Transcendental_Oarctan(c_HOL_Ouminus__class_Ouminus(V_x_2509,tc_RealDef_Oreal)) ),
inference(cnfTransformation,[status(thm)],[f_6700]) ).
tff(c_3136,plain,
! [V_x_2694] : ( c_HOL_Ouminus__class_Ouminus(c_Transcendental_Oarctan(V_x_2694),tc_RealDef_Oreal) = c_Transcendental_Oarctan(c_HOL_Ouminus__class_Ouminus(V_x_2694,tc_RealDef_Oreal)) ),
inference(cnfTransformation,[status(thm)],[f_6700]) ).
tff(c_1720,plain,
! [V_a_2602,T_a_2601] :
( ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_a_2602,T_a_2601),T_a_2601) = V_a_2602 )
| ~ class_OrderedGroup_Ogroup__add(T_a_2601) ),
inference(cnfTransformation,[status(thm)],[f_6888]) ).
tff(c_3148,plain,
! [V_x_2694] :
( ( c_HOL_Ouminus__class_Ouminus(c_Transcendental_Oarctan(c_HOL_Ouminus__class_Ouminus(V_x_2694,tc_RealDef_Oreal)),tc_RealDef_Oreal) = c_Transcendental_Oarctan(V_x_2694) )
| ~ class_OrderedGroup_Ogroup__add(tc_RealDef_Oreal) ),
inference(superposition,[status(thm),theory(equality)],[c_3136,c_1720]) ).
tff(c_3513,plain,
! [V_x_2712] : ( c_Transcendental_Oarctan(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_x_2712,tc_RealDef_Oreal),tc_RealDef_Oreal)) = c_Transcendental_Oarctan(V_x_2712) ),
inference(demodulation,[status(thm),theory(equality)],[c_1824,c_1640,c_3148]) ).
tff(c_3527,plain,
! [V_x_2712] : ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_x_2712,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_Transcendental_Otan(c_Transcendental_Oarctan(V_x_2712)) ),
inference(superposition,[status(thm),theory(equality)],[c_3513,c_740]) ).
tff(c_3572,plain,
! [V_x_2712] : ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_x_2712,tc_RealDef_Oreal),tc_RealDef_Oreal) = V_x_2712 ),
inference(demodulation,[status(thm),theory(equality)],[c_740,c_3527]) ).
tff(c_1702,plain,
! [V_x_2578] : ( c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(V_x_2578),tc_RealDef_Oreal) = c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(V_x_2578,tc_RealDef_Oreal)) ),
inference(cnfTransformation,[status(thm)],[f_6831]) ).
tff(c_1646,plain,
! [V_y_2512,V_z_2513] : ( c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_y_2512,V_z_2513,tc_RealDef_Oreal),V_z_2513,tc_RealDef_Oreal) = V_y_2512 ),
inference(cnfTransformation,[status(thm)],[f_6718]) ).
tff(c_1698,plain,
! [V_x_2574] : ( c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(V_x_2574),tc_RealDef_Oreal) = c_Transcendental_Osin(c_HOL_Oplus__class_Oplus(V_x_2574,c_Transcendental_Opi,tc_RealDef_Oreal)) ),
inference(cnfTransformation,[status(thm)],[f_6824]) ).
tff(c_5731,plain,
! [V_x_2761] : ( c_Transcendental_Osin(c_HOL_Oplus__class_Oplus(V_x_2761,c_Transcendental_Opi,tc_RealDef_Oreal)) = c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(V_x_2761,tc_RealDef_Oreal)) ),
inference(demodulation,[status(thm),theory(equality)],[c_1702,c_1698]) ).
tff(c_6378,plain,
! [V_y_2791] : ( c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(V_y_2791,c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal)) = c_Transcendental_Osin(V_y_2791) ),
inference(superposition,[status(thm),theory(equality)],[c_1646,c_5731]) ).
tff(c_6393,plain,
! [V_y_2791] : ( c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(V_y_2791,c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(V_y_2791),tc_RealDef_Oreal) ),
inference(superposition,[status(thm),theory(equality)],[c_6378,c_1702]) ).
tff(c_6417,plain,
! [V_y_2791] : ( c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(V_y_2791,c_Transcendental_Opi,tc_RealDef_Oreal)) = c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(V_y_2791,tc_RealDef_Oreal)) ),
inference(demodulation,[status(thm),theory(equality)],[c_3572,c_1702,c_6393]) ).
tff(c_1724,plain,
c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(v_x),tc_RealDef_Oreal) != c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(v_x,c_Transcendental_Opi,tc_RealDef_Oreal)),
inference(cnfTransformation,[status(thm)],[f_6895]) ).
tff(c_1849,plain,
c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(v_x,c_Transcendental_Opi,tc_RealDef_Oreal)) != c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(v_x,tc_RealDef_Oreal)),
inference(demodulation,[status(thm),theory(equality)],[c_1702,c_1724]) ).
tff(c_7228,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_6417,c_1849]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWV592-1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.14 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.14/0.35 % Computer : n025.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu Aug 3 23:16:35 EDT 2023
% 0.14/0.35 % CPUTime :
% 16.04/5.08 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 16.04/5.09
% 16.04/5.09 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 16.04/5.12
% 16.04/5.12 Inference rules
% 16.04/5.12 ----------------------
% 16.04/5.12 #Ref : 2
% 16.04/5.12 #Sup : 1211
% 16.04/5.12 #Fact : 2
% 16.04/5.12 #Define : 0
% 16.04/5.12 #Split : 0
% 16.04/5.12 #Chain : 0
% 16.04/5.12 #Close : 0
% 16.04/5.12
% 16.04/5.12 Ordering : KBO
% 16.04/5.12
% 16.04/5.12 Simplification rules
% 16.04/5.12 ----------------------
% 16.04/5.12 #Subsume : 180
% 16.04/5.12 #Demod : 826
% 16.04/5.12 #Tautology : 787
% 16.04/5.12 #SimpNegUnit : 0
% 16.04/5.12 #BackRed : 2
% 16.04/5.12
% 16.04/5.12 #Partial instantiations: 0
% 16.04/5.12 #Strategies tried : 1
% 16.04/5.12
% 16.04/5.12 Timing (in seconds)
% 16.04/5.12 ----------------------
% 16.04/5.12 Preprocessing : 1.86
% 16.04/5.12 Parsing : 1.11
% 16.04/5.12 CNF conversion : 0.14
% 16.04/5.12 Main loop : 2.19
% 16.04/5.12 Inferencing : 0.37
% 16.04/5.12 Reduction : 1.03
% 16.04/5.12 Demodulation : 0.75
% 16.04/5.12 BG Simplification : 0.18
% 16.04/5.13 Subsumption : 0.50
% 16.04/5.13 Abstraction : 0.06
% 16.04/5.13 MUC search : 0.00
% 16.04/5.13 Cooper : 0.00
% 16.04/5.13 Total : 4.10
% 16.04/5.13 Index Insertion : 0.00
% 16.04/5.13 Index Deletion : 0.00
% 16.04/5.13 Index Matching : 0.00
% 16.04/5.13 BG Taut test : 0.00
%------------------------------------------------------------------------------