TSTP Solution File: SWW174+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWW174+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.LbjDLOUYde true
% Computer : n016.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 : Fri Sep 1 01:41:04 EDT 2023
% Result : Theorem 12.92s 2.46s
% Output : Refutation 12.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 19
% Syntax : Number of formulae : 33 ( 16 unt; 13 typ; 0 def)
% Number of atoms : 24 ( 16 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 204 ( 5 ~; 2 |; 0 &; 195 @)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 18 ( 18 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 13 usr; 4 con; 0-3 aty)
% Number of variables : 12 ( 0 ^; 12 !; 0 ?; 12 :)
% Comments :
%------------------------------------------------------------------------------
thf(c_Power_Opower__class_Opower_type,type,
c_Power_Opower__class_Opower: $i > $i > $i > $i ).
thf(tc_RealDef_Oreal_type,type,
tc_RealDef_Oreal: $i ).
thf(c_Groups_Oone__class_Oone_type,type,
c_Groups_Oone__class_Oone: $i > $i ).
thf(c_Groups_Oplus__class_Oplus_type,type,
c_Groups_Oplus__class_Oplus: $i > $i > $i > $i ).
thf(c_Groups_Otimes__class_Otimes_type,type,
c_Groups_Otimes__class_Otimes: $i > $i > $i > $i ).
thf(tc_Nat_Onat_type,type,
tc_Nat_Onat: $i ).
thf(c_Int_OBit0_type,type,
c_Int_OBit0: $i > $i ).
thf(c_Groups_Oabs__class_Oabs_type,type,
c_Groups_Oabs__class_Oabs: $i > $i > $i ).
thf(class_Int_Onumber__ring_type,type,
class_Int_Onumber__ring: $i > $o ).
thf(c_NthRoot_Osqrt_type,type,
c_NthRoot_Osqrt: $i > $i ).
thf(c_Int_OPls_type,type,
c_Int_OPls: $i ).
thf(c_Int_OBit1_type,type,
c_Int_OBit1: $i > $i ).
thf(c_Int_Onumber__class_Onumber__of_type,type,
c_Int_Onumber__class_Onumber__of: $i > $i > $i ).
thf(arity_RealDef__Oreal__Int_Onumber__ring,axiom,
class_Int_Onumber__ring @ tc_RealDef_Oreal ).
thf(zip_derived_cl772,plain,
class_Int_Onumber__ring @ tc_RealDef_Oreal,
inference(cnf,[status(esa)],[arity_RealDef__Oreal__Int_Onumber__ring]) ).
thf(fact_double__number__of__Bit0,axiom,
! [V_w: $i,T_a: $i] :
( ( class_Int_Onumber__ring @ T_a )
=> ( ( c_Groups_Otimes__class_Otimes @ T_a @ ( c_Groups_Oplus__class_Oplus @ T_a @ ( c_Groups_Oone__class_Oone @ T_a ) @ ( c_Groups_Oone__class_Oone @ T_a ) ) @ ( c_Int_Onumber__class_Onumber__of @ T_a @ V_w ) )
= ( c_Int_Onumber__class_Onumber__of @ T_a @ ( c_Int_OBit0 @ V_w ) ) ) ) ).
thf(zip_derived_cl705,plain,
! [X0: $i,X1: $i] :
( ( ( c_Groups_Otimes__class_Otimes @ X0 @ ( c_Groups_Oplus__class_Oplus @ X0 @ ( c_Groups_Oone__class_Oone @ X0 ) @ ( c_Groups_Oone__class_Oone @ X0 ) ) @ ( c_Int_Onumber__class_Onumber__of @ X0 @ X1 ) )
= ( c_Int_Onumber__class_Onumber__of @ X0 @ ( c_Int_OBit0 @ X1 ) ) )
| ~ ( class_Int_Onumber__ring @ X0 ) ),
inference(cnf,[status(esa)],[fact_double__number__of__Bit0]) ).
thf(zip_derived_cl3233,plain,
! [X0: $i] :
( ( c_Groups_Otimes__class_Otimes @ tc_RealDef_Oreal @ ( c_Groups_Oplus__class_Oplus @ tc_RealDef_Oreal @ ( c_Groups_Oone__class_Oone @ tc_RealDef_Oreal ) @ ( c_Groups_Oone__class_Oone @ tc_RealDef_Oreal ) ) @ ( c_Int_Onumber__class_Onumber__of @ tc_RealDef_Oreal @ X0 ) )
= ( c_Int_Onumber__class_Onumber__of @ tc_RealDef_Oreal @ ( c_Int_OBit0 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl772,zip_derived_cl705]) ).
thf(zip_derived_cl772_001,plain,
class_Int_Onumber__ring @ tc_RealDef_Oreal,
inference(cnf,[status(esa)],[arity_RealDef__Oreal__Int_Onumber__ring]) ).
thf(fact_one__add__one__is__two,axiom,
! [T_a: $i] :
( ( class_Int_Onumber__ring @ T_a )
=> ( ( c_Groups_Oplus__class_Oplus @ T_a @ ( c_Groups_Oone__class_Oone @ T_a ) @ ( c_Groups_Oone__class_Oone @ T_a ) )
= ( c_Int_Onumber__class_Onumber__of @ T_a @ ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) ) ) ) ).
thf(zip_derived_cl721,plain,
! [X0: $i] :
( ( ( c_Groups_Oplus__class_Oplus @ X0 @ ( c_Groups_Oone__class_Oone @ X0 ) @ ( c_Groups_Oone__class_Oone @ X0 ) )
= ( c_Int_Onumber__class_Onumber__of @ X0 @ ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) ) )
| ~ ( class_Int_Onumber__ring @ X0 ) ),
inference(cnf,[status(esa)],[fact_one__add__one__is__two]) ).
thf(zip_derived_cl3234,plain,
( ( c_Groups_Oplus__class_Oplus @ tc_RealDef_Oreal @ ( c_Groups_Oone__class_Oone @ tc_RealDef_Oreal ) @ ( c_Groups_Oone__class_Oone @ tc_RealDef_Oreal ) )
= ( c_Int_Onumber__class_Onumber__of @ tc_RealDef_Oreal @ ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl772,zip_derived_cl721]) ).
thf(zip_derived_cl11382,plain,
! [X0: $i] :
( ( c_Groups_Otimes__class_Otimes @ tc_RealDef_Oreal @ ( c_Int_Onumber__class_Onumber__of @ tc_RealDef_Oreal @ ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) ) @ ( c_Int_Onumber__class_Onumber__of @ tc_RealDef_Oreal @ X0 ) )
= ( c_Int_Onumber__class_Onumber__of @ tc_RealDef_Oreal @ ( c_Int_OBit0 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3233,zip_derived_cl3234]) ).
thf(fact_real__sqrt__abs2,axiom,
! [V_x: $i] :
( ( c_NthRoot_Osqrt @ ( c_Groups_Otimes__class_Otimes @ tc_RealDef_Oreal @ V_x @ V_x ) )
= ( c_Groups_Oabs__class_Oabs @ tc_RealDef_Oreal @ V_x ) ) ).
thf(zip_derived_cl13,plain,
! [X0: $i] :
( ( c_NthRoot_Osqrt @ ( c_Groups_Otimes__class_Otimes @ tc_RealDef_Oreal @ X0 @ X0 ) )
= ( c_Groups_Oabs__class_Oabs @ tc_RealDef_Oreal @ X0 ) ),
inference(cnf,[status(esa)],[fact_real__sqrt__abs2]) ).
thf(zip_derived_cl11383,plain,
( ( c_NthRoot_Osqrt @ ( c_Int_Onumber__class_Onumber__of @ tc_RealDef_Oreal @ ( c_Int_OBit0 @ ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) ) ) )
= ( c_Groups_Oabs__class_Oabs @ tc_RealDef_Oreal @ ( c_Int_Onumber__class_Onumber__of @ tc_RealDef_Oreal @ ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl11382,zip_derived_cl13]) ).
thf(conj_0,conjecture,
( ( c_NthRoot_Osqrt @ ( c_Int_Onumber__class_Onumber__of @ tc_RealDef_Oreal @ ( c_Int_OBit0 @ ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) ) ) )
= ( c_NthRoot_Osqrt @ ( c_Power_Opower__class_Opower @ tc_RealDef_Oreal @ ( c_Int_Onumber__class_Onumber__of @ tc_RealDef_Oreal @ ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) ) @ ( c_Int_Onumber__class_Onumber__of @ tc_Nat_Onat @ ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
( ( c_NthRoot_Osqrt @ ( c_Int_Onumber__class_Onumber__of @ tc_RealDef_Oreal @ ( c_Int_OBit0 @ ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) ) ) )
!= ( c_NthRoot_Osqrt @ ( c_Power_Opower__class_Opower @ tc_RealDef_Oreal @ ( c_Int_Onumber__class_Onumber__of @ tc_RealDef_Oreal @ ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) ) @ ( c_Int_Onumber__class_Onumber__of @ tc_Nat_Onat @ ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[conj_0]) ).
thf(zip_derived_cl774,plain,
( ( c_NthRoot_Osqrt @ ( c_Int_Onumber__class_Onumber__of @ tc_RealDef_Oreal @ ( c_Int_OBit0 @ ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) ) ) )
!= ( c_NthRoot_Osqrt @ ( c_Power_Opower__class_Opower @ tc_RealDef_Oreal @ ( c_Int_Onumber__class_Onumber__of @ tc_RealDef_Oreal @ ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) ) @ ( c_Int_Onumber__class_Onumber__of @ tc_Nat_Onat @ ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(fact_real__sqrt__abs,axiom,
! [V_x: $i] :
( ( c_NthRoot_Osqrt @ ( c_Power_Opower__class_Opower @ tc_RealDef_Oreal @ V_x @ ( c_Int_Onumber__class_Onumber__of @ tc_Nat_Onat @ ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) ) ) )
= ( c_Groups_Oabs__class_Oabs @ tc_RealDef_Oreal @ V_x ) ) ).
thf(zip_derived_cl12,plain,
! [X0: $i] :
( ( c_NthRoot_Osqrt @ ( c_Power_Opower__class_Opower @ tc_RealDef_Oreal @ X0 @ ( c_Int_Onumber__class_Onumber__of @ tc_Nat_Onat @ ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) ) ) )
= ( c_Groups_Oabs__class_Oabs @ tc_RealDef_Oreal @ X0 ) ),
inference(cnf,[status(esa)],[fact_real__sqrt__abs]) ).
thf(zip_derived_cl3307,plain,
( ( c_NthRoot_Osqrt @ ( c_Int_Onumber__class_Onumber__of @ tc_RealDef_Oreal @ ( c_Int_OBit0 @ ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) ) ) )
!= ( c_Groups_Oabs__class_Oabs @ tc_RealDef_Oreal @ ( c_Int_Onumber__class_Onumber__of @ tc_RealDef_Oreal @ ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl774,zip_derived_cl12]) ).
thf(zip_derived_cl11429,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl11383,zip_derived_cl3307]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14 % Problem : SWW174+1 : TPTP v8.1.2. Released v5.2.0.
% 0.07/0.15 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.LbjDLOUYde true
% 0.12/0.35 % Computer : n016.cluster.edu
% 0.12/0.35 % Model : x86_64 x86_64
% 0.12/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35 % Memory : 8042.1875MB
% 0.12/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35 % CPULimit : 300
% 0.12/0.35 % WCLimit : 300
% 0.12/0.35 % DateTime : Sun Aug 27 23:21:14 EDT 2023
% 0.12/0.35 % CPUTime :
% 0.12/0.35 % Running portfolio for 300 s
% 0.12/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.35 % Number of cores: 8
% 0.12/0.35 % Python version: Python 3.6.8
% 0.12/0.35 % Running in FO mode
% 0.19/0.54 % Total configuration time : 435
% 0.19/0.54 % Estimated wc time : 1092
% 0.19/0.54 % Estimated cpu time (7 cpus) : 156.0
% 0.19/0.60 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.19/0.61 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.19/0.61 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.19/0.62 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.19/0.63 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.19/0.64 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.19/0.65 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 12.92/2.46 % Solved by fo/fo3_bce.sh.
% 12.92/2.46 % BCE start: 775
% 12.92/2.46 % BCE eliminated: 110
% 12.92/2.46 % PE start: 665
% 12.92/2.46 logic: eq
% 12.92/2.46 % PE eliminated: -49
% 12.92/2.46 % done 1012 iterations in 1.834s
% 12.92/2.46 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 12.92/2.46 % SZS output start Refutation
% See solution above
% 12.92/2.46
% 12.92/2.46
% 12.92/2.46 % Terminating...
% 13.45/2.58 % Runner terminated.
% 13.45/2.58 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------