TSTP Solution File: SWW259+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWW259+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.1QO6lTcEn8 true
% Computer : n013.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 01:41:21 EDT 2023
% Result : Theorem 15.99s 2.97s
% Output : Refutation 16.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 28
% Syntax : Number of formulae : 57 ( 25 unt; 19 typ; 0 def)
% Number of atoms : 60 ( 13 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 748 ( 24 ~; 15 |; 2 &; 702 @)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 19 ( 19 >; 0 *; 0 +; 0 <<)
% Number of symbols : 21 ( 19 usr; 8 con; 0-3 aty)
% Number of variables : 37 ( 0 ^; 36 !; 1 ?; 37 :)
% Comments :
%------------------------------------------------------------------------------
thf(c_Nat_OSuc_type,type,
c_Nat_OSuc: $i > $i ).
thf(v_k_____type,type,
v_k____: $i ).
thf(c_Rings_Oinverse__class_Oinverse_type,type,
c_Rings_Oinverse__class_Oinverse: $i > $i > $i ).
thf(c_Orderings_Oord__class_Oless_type,type,
c_Orderings_Oord__class_Oless: $i > $i > $i > $o ).
thf(tc_RealDef_Oreal_type,type,
tc_RealDef_Oreal: $i ).
thf(v_w_____type,type,
v_w____: $i ).
thf(hAPP_type,type,
hAPP: $i > $i > $i ).
thf(c_Groups_Ozero__class_Ozero_type,type,
c_Groups_Ozero__class_Ozero: $i > $i ).
thf(sk__1_type,type,
sk__1: $i > $i ).
thf(c_Groups_Oplus__class_Oplus_type,type,
c_Groups_Oplus__class_Oplus: $i > $i > $i > $i ).
thf(v_thesis_____type,type,
v_thesis____: $o ).
thf(tc_Nat_Onat_type,type,
tc_Nat_Onat: $i ).
thf(v_m_____type,type,
v_m____: $i ).
thf(class_Rings_Ocomm__semiring__1_type,type,
class_Rings_Ocomm__semiring__1: $i > $o ).
thf(c_Groups_Oone__class_Oone_type,type,
c_Groups_Oone__class_Oone: $i > $i ).
thf(c_Power_Opower__class_Opower_type,type,
c_Power_Opower__class_Opower: $i > $i ).
thf(tc_Complex_Ocomplex_type,type,
tc_Complex_Ocomplex: $i ).
thf(c_RealVector_Onorm__class_Onorm_type,type,
c_RealVector_Onorm__class_Onorm: $i > $i > $i ).
thf(c_Groups_Otimes__class_Otimes_type,type,
c_Groups_Otimes__class_Otimes: $i > $i ).
thf(fact__096_B_Bd2_O_A0_A_060_Ad2_A_061_061_062_AEX_Ae_0620_O_Ae_A_060_A1_A_G_Ae_A_060_Ad2_096,axiom,
! [V_d2: $i] :
( ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) @ V_d2 )
=> ? [B_e: $i] :
( ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ B_e @ V_d2 )
& ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ B_e @ ( c_Groups_Oone__class_Oone @ tc_RealDef_Oreal ) )
& ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) @ B_e ) ) ) ).
thf(zip_derived_cl3,plain,
! [X0: $i] :
( ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) @ ( sk__1 @ X0 ) )
| ~ ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) @ X0 ) ),
inference(cnf,[status(esa)],[fact__096_B_Bd2_O_A0_A_060_Ad2_A_061_061_062_AEX_Ae_0620_O_Ae_A_060_A1_A_G_Ae_A_060_Ad2_096]) ).
thf(zip_derived_cl2,plain,
! [X0: $i] :
( ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( sk__1 @ X0 ) @ ( c_Groups_Oone__class_Oone @ tc_RealDef_Oreal ) )
| ~ ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) @ X0 ) ),
inference(cnf,[status(esa)],[fact__096_B_Bd2_O_A0_A_060_Ad2_A_061_061_062_AEX_Ae_0620_O_Ae_A_060_A1_A_G_Ae_A_060_Ad2_096]) ).
thf(zip_derived_cl1,plain,
! [X0: $i] :
( ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( sk__1 @ X0 ) @ X0 )
| ~ ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) @ X0 ) ),
inference(cnf,[status(esa)],[fact__096_B_Bd2_O_A0_A_060_Ad2_A_061_061_062_AEX_Ae_0620_O_Ae_A_060_A1_A_G_Ae_A_060_Ad2_096]) ).
thf(conj_0,axiom,
! [B_t: $i] :
( ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) @ B_t )
=> ( ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ B_t @ ( c_Groups_Oone__class_Oone @ tc_RealDef_Oreal ) )
=> ( ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ B_t @ ( c_Rings_Oinverse__class_Oinverse @ tc_RealDef_Oreal @ ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_RealDef_Oreal ) @ ( hAPP @ ( hAPP @ ( c_Power_Opower__class_Opower @ tc_RealDef_Oreal ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_w____ ) ) @ ( c_Groups_Oplus__class_Oplus @ tc_Nat_Onat @ v_k____ @ ( c_Groups_Oone__class_Oone @ tc_Nat_Onat ) ) ) ) @ v_m____ ) ) )
=> v_thesis____ ) ) ) ).
thf(zip_derived_cl504,plain,
! [X0: $i] :
( v_thesis____
| ~ ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) @ X0 )
| ~ ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ X0 @ ( c_Rings_Oinverse__class_Oinverse @ tc_RealDef_Oreal @ ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_RealDef_Oreal ) @ ( hAPP @ ( hAPP @ ( c_Power_Opower__class_Opower @ tc_RealDef_Oreal ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_w____ ) ) @ ( c_Groups_Oplus__class_Oplus @ tc_Nat_Onat @ v_k____ @ ( c_Groups_Oone__class_Oone @ tc_Nat_Onat ) ) ) ) @ v_m____ ) ) )
| ~ ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ X0 @ ( c_Groups_Oone__class_Oone @ tc_RealDef_Oreal ) ) ),
inference(cnf,[status(esa)],[conj_0]) ).
thf(conj_1,conjecture,
v_thesis____ ).
thf(zf_stmt_0,negated_conjecture,
~ v_thesis____,
inference('cnf.neg',[status(esa)],[conj_1]) ).
thf(zip_derived_cl505,plain,
~ v_thesis____,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2114,plain,
! [X0: $i] :
( ~ ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ X0 @ ( c_Groups_Oone__class_Oone @ tc_RealDef_Oreal ) )
| ~ ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ X0 @ ( c_Rings_Oinverse__class_Oinverse @ tc_RealDef_Oreal @ ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_RealDef_Oreal ) @ ( hAPP @ ( hAPP @ ( c_Power_Opower__class_Opower @ tc_RealDef_Oreal ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_w____ ) ) @ ( c_Groups_Oplus__class_Oplus @ tc_Nat_Onat @ v_k____ @ ( c_Groups_Oone__class_Oone @ tc_Nat_Onat ) ) ) ) @ v_m____ ) ) )
| ~ ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl504,zip_derived_cl505]) ).
thf(fact_Suc__eq__plus1,axiom,
! [V_n: $i] :
( ( c_Nat_OSuc @ V_n )
= ( c_Groups_Oplus__class_Oplus @ tc_Nat_Onat @ V_n @ ( c_Groups_Oone__class_Oone @ tc_Nat_Onat ) ) ) ).
thf(zip_derived_cl350,plain,
! [X0: $i] :
( ( c_Nat_OSuc @ X0 )
= ( c_Groups_Oplus__class_Oplus @ tc_Nat_Onat @ X0 @ ( c_Groups_Oone__class_Oone @ tc_Nat_Onat ) ) ),
inference(cnf,[status(esa)],[fact_Suc__eq__plus1]) ).
thf(arity_RealDef__Oreal__Rings_Ocomm__semiring__1,axiom,
class_Rings_Ocomm__semiring__1 @ tc_RealDef_Oreal ).
thf(zip_derived_cl501,plain,
class_Rings_Ocomm__semiring__1 @ tc_RealDef_Oreal,
inference(cnf,[status(esa)],[arity_RealDef__Oreal__Rings_Ocomm__semiring__1]) ).
thf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I35_J,axiom,
! [V_q: $i,V_x: $i,T_a: $i] :
( ( class_Rings_Ocomm__semiring__1 @ T_a )
=> ( ( hAPP @ ( hAPP @ ( c_Power_Opower__class_Opower @ T_a ) @ V_x ) @ ( c_Nat_OSuc @ V_q ) )
= ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ T_a ) @ V_x ) @ ( hAPP @ ( hAPP @ ( c_Power_Opower__class_Opower @ T_a ) @ V_x ) @ V_q ) ) ) ) ).
thf(zip_derived_cl324,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( hAPP @ ( hAPP @ ( c_Power_Opower__class_Opower @ X0 ) @ X1 ) @ ( c_Nat_OSuc @ X2 ) )
= ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ X0 ) @ X1 ) @ ( hAPP @ ( hAPP @ ( c_Power_Opower__class_Opower @ X0 ) @ X1 ) @ X2 ) ) )
| ~ ( class_Rings_Ocomm__semiring__1 @ X0 ) ),
inference(cnf,[status(esa)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I35_J]) ).
thf(zip_derived_cl2125,plain,
! [X0: $i,X1: $i] :
( ( hAPP @ ( hAPP @ ( c_Power_Opower__class_Opower @ tc_RealDef_Oreal ) @ X1 ) @ ( c_Nat_OSuc @ X0 ) )
= ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_RealDef_Oreal ) @ X1 ) @ ( hAPP @ ( hAPP @ ( c_Power_Opower__class_Opower @ tc_RealDef_Oreal ) @ X1 ) @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl501,zip_derived_cl324]) ).
thf(fact_real__mult__assoc,axiom,
! [V_z3: $i,V_z2: $i,V_z1: $i] :
( ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_RealDef_Oreal ) @ ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_RealDef_Oreal ) @ V_z1 ) @ V_z2 ) ) @ V_z3 )
= ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_RealDef_Oreal ) @ V_z1 ) @ ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_RealDef_Oreal ) @ V_z2 ) @ V_z3 ) ) ) ).
thf(zip_derived_cl20,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_RealDef_Oreal ) @ ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_RealDef_Oreal ) @ X0 ) @ X1 ) ) @ X2 )
= ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_RealDef_Oreal ) @ X0 ) @ ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_RealDef_Oreal ) @ X1 ) @ X2 ) ) ),
inference(cnf,[status(esa)],[fact_real__mult__assoc]) ).
thf(fact_real__mult__commute,axiom,
! [V_w: $i,V_z: $i] :
( ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_RealDef_Oreal ) @ V_z ) @ V_w )
= ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_RealDef_Oreal ) @ V_w ) @ V_z ) ) ).
thf(zip_derived_cl21,plain,
! [X0: $i,X1: $i] :
( ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_RealDef_Oreal ) @ X1 ) @ X0 )
= ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_RealDef_Oreal ) @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[fact_real__mult__commute]) ).
thf(zip_derived_cl9258,plain,
! [X0: $i] :
( ~ ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ X0 @ ( c_Groups_Oone__class_Oone @ tc_RealDef_Oreal ) )
| ~ ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ X0 @ ( c_Rings_Oinverse__class_Oinverse @ tc_RealDef_Oreal @ ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_RealDef_Oreal ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_w____ ) ) @ ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_RealDef_Oreal ) @ v_m____ ) @ ( hAPP @ ( hAPP @ ( c_Power_Opower__class_Opower @ tc_RealDef_Oreal ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_w____ ) ) @ v_k____ ) ) ) ) )
| ~ ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl2114,zip_derived_cl350,zip_derived_cl2125,zip_derived_cl20,zip_derived_cl21]) ).
thf(zip_derived_cl9259,plain,
( ~ ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) @ ( c_Rings_Oinverse__class_Oinverse @ tc_RealDef_Oreal @ ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_RealDef_Oreal ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_w____ ) ) @ ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_RealDef_Oreal ) @ v_m____ ) @ ( hAPP @ ( hAPP @ ( c_Power_Opower__class_Opower @ tc_RealDef_Oreal ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_w____ ) ) @ v_k____ ) ) ) ) )
| ~ ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) @ ( sk__1 @ ( c_Rings_Oinverse__class_Oinverse @ tc_RealDef_Oreal @ ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_RealDef_Oreal ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_w____ ) ) @ ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_RealDef_Oreal ) @ v_m____ ) @ ( hAPP @ ( hAPP @ ( c_Power_Opower__class_Opower @ tc_RealDef_Oreal ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_w____ ) ) @ v_k____ ) ) ) ) ) )
| ~ ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( sk__1 @ ( c_Rings_Oinverse__class_Oinverse @ tc_RealDef_Oreal @ ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_RealDef_Oreal ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_w____ ) ) @ ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_RealDef_Oreal ) @ v_m____ ) @ ( hAPP @ ( hAPP @ ( c_Power_Opower__class_Opower @ tc_RealDef_Oreal ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_w____ ) ) @ v_k____ ) ) ) ) ) @ ( c_Groups_Oone__class_Oone @ tc_RealDef_Oreal ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl9258]) ).
thf(fact_inv0,axiom,
c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) @ ( c_Rings_Oinverse__class_Oinverse @ tc_RealDef_Oreal @ ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_RealDef_Oreal ) @ ( hAPP @ ( hAPP @ ( c_Power_Opower__class_Opower @ tc_RealDef_Oreal ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_w____ ) ) @ ( c_Groups_Oplus__class_Oplus @ tc_Nat_Onat @ v_k____ @ ( c_Groups_Oone__class_Oone @ tc_Nat_Onat ) ) ) ) @ v_m____ ) ) ).
thf(zip_derived_cl5,plain,
c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) @ ( c_Rings_Oinverse__class_Oinverse @ tc_RealDef_Oreal @ ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_RealDef_Oreal ) @ ( hAPP @ ( hAPP @ ( c_Power_Opower__class_Opower @ tc_RealDef_Oreal ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_w____ ) ) @ ( c_Groups_Oplus__class_Oplus @ tc_Nat_Onat @ v_k____ @ ( c_Groups_Oone__class_Oone @ tc_Nat_Onat ) ) ) ) @ v_m____ ) ),
inference(cnf,[status(esa)],[fact_inv0]) ).
thf(zip_derived_cl350_001,plain,
! [X0: $i] :
( ( c_Nat_OSuc @ X0 )
= ( c_Groups_Oplus__class_Oplus @ tc_Nat_Onat @ X0 @ ( c_Groups_Oone__class_Oone @ tc_Nat_Onat ) ) ),
inference(cnf,[status(esa)],[fact_Suc__eq__plus1]) ).
thf(zip_derived_cl2415,plain,
c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) @ ( c_Rings_Oinverse__class_Oinverse @ tc_RealDef_Oreal @ ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_RealDef_Oreal ) @ ( hAPP @ ( hAPP @ ( c_Power_Opower__class_Opower @ tc_RealDef_Oreal ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_w____ ) ) @ ( c_Nat_OSuc @ v_k____ ) ) ) @ v_m____ ) ),
inference(demod,[status(thm)],[zip_derived_cl5,zip_derived_cl350]) ).
thf(zip_derived_cl2125_002,plain,
! [X0: $i,X1: $i] :
( ( hAPP @ ( hAPP @ ( c_Power_Opower__class_Opower @ tc_RealDef_Oreal ) @ X1 ) @ ( c_Nat_OSuc @ X0 ) )
= ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_RealDef_Oreal ) @ X1 ) @ ( hAPP @ ( hAPP @ ( c_Power_Opower__class_Opower @ tc_RealDef_Oreal ) @ X1 ) @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl501,zip_derived_cl324]) ).
thf(zip_derived_cl20_003,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_RealDef_Oreal ) @ ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_RealDef_Oreal ) @ X0 ) @ X1 ) ) @ X2 )
= ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_RealDef_Oreal ) @ X0 ) @ ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_RealDef_Oreal ) @ X1 ) @ X2 ) ) ),
inference(cnf,[status(esa)],[fact_real__mult__assoc]) ).
thf(zip_derived_cl21_004,plain,
! [X0: $i,X1: $i] :
( ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_RealDef_Oreal ) @ X1 ) @ X0 )
= ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_RealDef_Oreal ) @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[fact_real__mult__commute]) ).
thf(zip_derived_cl11001,plain,
c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) @ ( c_Rings_Oinverse__class_Oinverse @ tc_RealDef_Oreal @ ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_RealDef_Oreal ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_w____ ) ) @ ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_RealDef_Oreal ) @ v_m____ ) @ ( hAPP @ ( hAPP @ ( c_Power_Opower__class_Opower @ tc_RealDef_Oreal ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_w____ ) ) @ v_k____ ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2415,zip_derived_cl2125,zip_derived_cl20,zip_derived_cl21]) ).
thf(zip_derived_cl11388,plain,
( ~ ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) @ ( sk__1 @ ( c_Rings_Oinverse__class_Oinverse @ tc_RealDef_Oreal @ ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_RealDef_Oreal ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_w____ ) ) @ ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_RealDef_Oreal ) @ v_m____ ) @ ( hAPP @ ( hAPP @ ( c_Power_Opower__class_Opower @ tc_RealDef_Oreal ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_w____ ) ) @ v_k____ ) ) ) ) ) )
| ~ ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( sk__1 @ ( c_Rings_Oinverse__class_Oinverse @ tc_RealDef_Oreal @ ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_RealDef_Oreal ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_w____ ) ) @ ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_RealDef_Oreal ) @ v_m____ ) @ ( hAPP @ ( hAPP @ ( c_Power_Opower__class_Opower @ tc_RealDef_Oreal ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_w____ ) ) @ v_k____ ) ) ) ) ) @ ( c_Groups_Oone__class_Oone @ tc_RealDef_Oreal ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9259,zip_derived_cl11001]) ).
thf(zip_derived_cl11390,plain,
( ~ ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) @ ( c_Rings_Oinverse__class_Oinverse @ tc_RealDef_Oreal @ ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_RealDef_Oreal ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_w____ ) ) @ ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_RealDef_Oreal ) @ v_m____ ) @ ( hAPP @ ( hAPP @ ( c_Power_Opower__class_Opower @ tc_RealDef_Oreal ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_w____ ) ) @ v_k____ ) ) ) ) )
| ~ ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) @ ( sk__1 @ ( c_Rings_Oinverse__class_Oinverse @ tc_RealDef_Oreal @ ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_RealDef_Oreal ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_w____ ) ) @ ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_RealDef_Oreal ) @ v_m____ ) @ ( hAPP @ ( hAPP @ ( c_Power_Opower__class_Opower @ tc_RealDef_Oreal ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_w____ ) ) @ v_k____ ) ) ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl11388]) ).
thf(zip_derived_cl11001_005,plain,
c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) @ ( c_Rings_Oinverse__class_Oinverse @ tc_RealDef_Oreal @ ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_RealDef_Oreal ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_w____ ) ) @ ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_RealDef_Oreal ) @ v_m____ ) @ ( hAPP @ ( hAPP @ ( c_Power_Opower__class_Opower @ tc_RealDef_Oreal ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_w____ ) ) @ v_k____ ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2415,zip_derived_cl2125,zip_derived_cl20,zip_derived_cl21]) ).
thf(zip_derived_cl11391,plain,
~ ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) @ ( sk__1 @ ( c_Rings_Oinverse__class_Oinverse @ tc_RealDef_Oreal @ ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_RealDef_Oreal ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_w____ ) ) @ ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_RealDef_Oreal ) @ v_m____ ) @ ( hAPP @ ( hAPP @ ( c_Power_Opower__class_Opower @ tc_RealDef_Oreal ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_w____ ) ) @ v_k____ ) ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11390,zip_derived_cl11001]) ).
thf(zip_derived_cl11394,plain,
~ ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) @ ( c_Rings_Oinverse__class_Oinverse @ tc_RealDef_Oreal @ ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_RealDef_Oreal ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_w____ ) ) @ ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_RealDef_Oreal ) @ v_m____ ) @ ( hAPP @ ( hAPP @ ( c_Power_Opower__class_Opower @ tc_RealDef_Oreal ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_w____ ) ) @ v_k____ ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl11391]) ).
thf(zip_derived_cl11001_006,plain,
c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) @ ( c_Rings_Oinverse__class_Oinverse @ tc_RealDef_Oreal @ ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_RealDef_Oreal ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_w____ ) ) @ ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_RealDef_Oreal ) @ v_m____ ) @ ( hAPP @ ( hAPP @ ( c_Power_Opower__class_Opower @ tc_RealDef_Oreal ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_w____ ) ) @ v_k____ ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2415,zip_derived_cl2125,zip_derived_cl20,zip_derived_cl21]) ).
thf(zip_derived_cl11395,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl11394,zip_derived_cl11001]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWW259+1 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.1QO6lTcEn8 true
% 0.15/0.35 % Computer : n013.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Sun Aug 27 19:52:32 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % Running portfolio for 300 s
% 0.15/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.35 % Number of cores: 8
% 0.15/0.36 % Python version: Python 3.6.8
% 0.15/0.36 % Running in FO mode
% 0.22/0.66 % Total configuration time : 435
% 0.22/0.66 % Estimated wc time : 1092
% 0.22/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.79 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 2.22/0.95 % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 15.99/2.97 % Solved by fo/fo3_bce.sh.
% 15.99/2.97 % BCE start: 506
% 15.99/2.97 % BCE eliminated: 60
% 15.99/2.97 % PE start: 446
% 15.99/2.97 logic: eq
% 15.99/2.97 % PE eliminated: -19
% 15.99/2.97 % done 834 iterations in 2.218s
% 15.99/2.97 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 15.99/2.97 % SZS output start Refutation
% See solution above
% 16.55/2.97
% 16.55/2.97
% 16.55/2.98 % Terminating...
% 16.87/3.08 % Runner terminated.
% 16.87/3.08 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------