%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWW178+1 : TPTP v9.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.59T7IgiNv3 true
% Computer : n002.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 : Thu Oct 2 05:02:22 PM UTC 2025
% Result : Theorem 128.02s 18.89s
% Output : Refutation 128.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of formulae : 24 ( 15 unt; 0 typ; 0 def)
% Number of atoms : 33 ( 6 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 221 ( 10 ~; 6 |; 0 &; 202 @)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 11 usr; 5 con; 0-3 aty)
% Number of variables : 29 ( 0 ^; 29 !; 0 ?; 29 :)
% Comments :
%------------------------------------------------------------------------------
thf(c_Groups_Oplus__class_Oplus_type,type,
c_Groups_Oplus__class_Oplus: $i > $i > $i > $i ).
thf(tc_RealDef_Oreal_type,type,
tc_RealDef_Oreal: $i ).
thf(class_Rings_Ocomm__semiring__1_type,type,
class_Rings_Ocomm__semiring__1: $i > $o ).
thf(c_Groups_Ominus__class_Ominus_type,type,
c_Groups_Ominus__class_Ominus: $i > $i > $i > $i ).
thf(class_Groups_Ogroup__add_type,type,
class_Groups_Ogroup__add: $i > $o ).
thf(v_z_type,type,
v_z: $i ).
thf(class_RealVector_Oreal__normed__vector_type,type,
class_RealVector_Oreal__normed__vector: $i > $o ).
thf(v_w_type,type,
v_w: $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_Orderings_Oord__class_Oless__eq_type,type,
c_Orderings_Oord__class_Oless__eq: $i > $i > $i > $o ).
thf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J,axiom,
! [V_c: $i,V_a: $i,T_a: $i] :
( ( class_Rings_Ocomm__semiring__1 @ T_a )
=> ( ( c_Groups_Oplus__class_Oplus @ T_a @ V_a @ V_c )
= ( c_Groups_Oplus__class_Oplus @ T_a @ V_c @ V_a ) ) ) ).
thf(zip_derived_cl123,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( c_Groups_Oplus__class_Oplus @ X0 @ X2 @ X1 )
= ( c_Groups_Oplus__class_Oplus @ X0 @ X1 @ X2 ) )
| ~ ( class_Rings_Ocomm__semiring__1 @ X0 ) ),
inference(cnf,[status(esa)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J]) ).
thf(conj_0,conjecture,
c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_w ) @ ( c_Groups_Oplus__class_Oplus @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( c_Groups_Oplus__class_Oplus @ tc_Complex_Ocomplex @ v_w @ v_z ) ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_z ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_w ) @ ( c_Groups_Oplus__class_Oplus @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( c_Groups_Oplus__class_Oplus @ tc_Complex_Ocomplex @ v_w @ v_z ) ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_z ) ) ),
inference('cnf.neg',[status(esa)],[conj_0]) ).
thf(zip_derived_cl1594,plain,
~ ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_w ) @ ( c_Groups_Oplus__class_Oplus @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( c_Groups_Oplus__class_Oplus @ tc_Complex_Ocomplex @ v_w @ v_z ) ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_z ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl7481,plain,
( ~ ( class_Rings_Ocomm__semiring__1 @ tc_RealDef_Oreal )
| ~ ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_w ) @ ( c_Groups_Oplus__class_Oplus @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_z ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( c_Groups_Oplus__class_Oplus @ tc_Complex_Ocomplex @ v_w @ v_z ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl123,zip_derived_cl1594]) ).
thf(arity_RealDef__Oreal__Rings_Ocomm__semiring__1,axiom,
class_Rings_Ocomm__semiring__1 @ tc_RealDef_Oreal ).
thf(zip_derived_cl1531,plain,
class_Rings_Ocomm__semiring__1 @ tc_RealDef_Oreal,
inference(cnf,[status(esa)],[arity_RealDef__Oreal__Rings_Ocomm__semiring__1]) ).
thf(zip_derived_cl7549,plain,
~ ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_w ) @ ( c_Groups_Oplus__class_Oplus @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_z ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( c_Groups_Oplus__class_Oplus @ tc_Complex_Ocomplex @ v_w @ v_z ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7481,zip_derived_cl1531]) ).
thf(fact_add__diff__cancel,axiom,
! [V_b: $i,V_a: $i,T_a: $i] :
( ( class_Groups_Ogroup__add @ T_a )
=> ( ( c_Groups_Ominus__class_Ominus @ T_a @ ( c_Groups_Oplus__class_Oplus @ T_a @ V_a @ V_b ) @ V_b )
= V_a ) ) ).
thf(zip_derived_cl37,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( c_Groups_Ominus__class_Ominus @ X1 @ ( c_Groups_Oplus__class_Oplus @ X1 @ X0 @ X2 ) @ X2 )
= X0 )
| ~ ( class_Groups_Ogroup__add @ X1 ) ),
inference(cnf,[status(esa)],[fact_add__diff__cancel]) ).
thf(arity_Complex__Ocomplex__RealVector_Oreal__normed__vector,axiom,
class_RealVector_Oreal__normed__vector @ tc_Complex_Ocomplex ).
thf(zip_derived_cl1563,plain,
class_RealVector_Oreal__normed__vector @ tc_Complex_Ocomplex,
inference(cnf,[status(esa)],[arity_Complex__Ocomplex__RealVector_Oreal__normed__vector]) ).
thf(fact_norm__triangle__ineq4,axiom,
! [V_b: $i,V_a: $i,T_a: $i] :
( ( class_RealVector_Oreal__normed__vector @ T_a )
=> ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ T_a @ ( c_Groups_Ominus__class_Ominus @ T_a @ V_a @ V_b ) ) @ ( c_Groups_Oplus__class_Oplus @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ T_a @ V_a ) @ ( c_RealVector_Onorm__class_Onorm @ T_a @ V_b ) ) ) ) ).
thf(zip_derived_cl47,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ X0 @ ( c_Groups_Ominus__class_Ominus @ X0 @ X1 @ X2 ) ) @ ( c_Groups_Oplus__class_Oplus @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ X0 @ X1 ) @ ( c_RealVector_Onorm__class_Onorm @ X0 @ X2 ) ) )
| ~ ( class_RealVector_Oreal__normed__vector @ X0 ) ),
inference(cnf,[status(esa)],[fact_norm__triangle__ineq4]) ).
thf(zip_derived_cl5212,plain,
! [X0: $i,X1: $i] : ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( c_Groups_Ominus__class_Ominus @ tc_Complex_Ocomplex @ X1 @ X0 ) ) @ ( c_Groups_Oplus__class_Oplus @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ X1 ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl1563,zip_derived_cl47]) ).
thf(zip_derived_cl89781,plain,
! [X0: $i,X1: $i] :
( ~ ( class_Groups_Ogroup__add @ tc_Complex_Ocomplex )
| ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ X0 ) @ ( c_Groups_Oplus__class_Oplus @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( c_Groups_Oplus__class_Oplus @ tc_Complex_Ocomplex @ X0 @ X1 ) ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ X1 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl37,zip_derived_cl5212]) ).
thf(arity_Complex__Ocomplex__Groups_Ogroup__add,axiom,
class_Groups_Ogroup__add @ tc_Complex_Ocomplex ).
thf(zip_derived_cl1583,plain,
class_Groups_Ogroup__add @ tc_Complex_Ocomplex,
inference(cnf,[status(esa)],[arity_Complex__Ocomplex__Groups_Ogroup__add]) ).
thf(zip_derived_cl1531_001,plain,
class_Rings_Ocomm__semiring__1 @ tc_RealDef_Oreal,
inference(cnf,[status(esa)],[arity_RealDef__Oreal__Rings_Ocomm__semiring__1]) ).
thf(zip_derived_cl123_002,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( c_Groups_Oplus__class_Oplus @ X0 @ X2 @ X1 )
= ( c_Groups_Oplus__class_Oplus @ X0 @ X1 @ X2 ) )
| ~ ( class_Rings_Ocomm__semiring__1 @ X0 ) ),
inference(cnf,[status(esa)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J]) ).
thf(zip_derived_cl7528,plain,
! [X0: $i,X1: $i] :
( ( c_Groups_Oplus__class_Oplus @ tc_RealDef_Oreal @ X1 @ X0 )
= ( c_Groups_Oplus__class_Oplus @ tc_RealDef_Oreal @ X0 @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1531,zip_derived_cl123]) ).
thf(zip_derived_cl89804,plain,
! [X0: $i,X1: $i] : ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ X0 ) @ ( c_Groups_Oplus__class_Oplus @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ X1 ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( c_Groups_Oplus__class_Oplus @ tc_Complex_Ocomplex @ X0 @ X1 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl89781,zip_derived_cl1583,zip_derived_cl7528]) ).
thf(zip_derived_cl92771,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl7549,zip_derived_cl89804]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWW178+1 : TPTP v9.2.0. Released v5.2.0.
% 0.11/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.59T7IgiNv3 true
% 0.13/0.34 % Computer : n002.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Oct 1 12:05:53 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.57/0.65 % Total configuration time : 435
% 0.57/0.65 % Estimated wc time : 1092
% 0.57/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.57/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.77 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.77 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 128.02/18.89 % Solved by fo/fo6_bce.sh.
% 128.02/18.89 % BCE start: 1595
% 128.02/18.89 % BCE eliminated: 41
% 128.02/18.89 % PE start: 1554
% 128.02/18.89 logic: eq
% 128.02/18.89 % PE eliminated: -157
% 128.02/18.89 % done 3510 iterations in 18.159s
% 128.02/18.89 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 128.02/18.89 % SZS output start Refutation
% See solution above
% 128.02/18.89
% 128.02/18.89
% 128.02/18.89 % Terminating...
% 128.65/19.01 % Runner terminated.
% 128.65/19.02 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------