%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWW225+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.mOmeYseity true
% Computer : n010.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 05:02:27 PM UTC 2025
% Result : Theorem 4.74s 1.20s
% Output : Refutation 4.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 15 ( 9 unt; 0 typ; 0 def)
% Number of atoms : 21 ( 0 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 153 ( 7 ~; 3 |; 0 &; 140 @)
% ( 2 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 11 usr; 6 con; 0-3 aty)
% Number of variables : 13 ( 0 ^; 13 !; 0 ?; 13 :)
% Comments :
%------------------------------------------------------------------------------
thf(hAPP_type,type,
hAPP: $i > $i > $i ).
thf(tc_Nat_Onat_type,type,
tc_Nat_Onat: $i ).
thf(c_Orderings_Oord__class_Oless__eq_type,type,
c_Orderings_Oord__class_Oless__eq: $i > $i > $i > $o ).
thf(v_N2_____type,type,
v_N2____: $i ).
thf(v_N1_____type,type,
v_N1____: $i ).
thf(c_RealDef_Oreal_type,type,
c_RealDef_Oreal: $i > $i ).
thf(c_Groups_Oplus__class_Oplus_type,type,
c_Groups_Oplus__class_Oplus: $i > $i > $i > $i ).
thf(c_Nat_OSuc_type,type,
c_Nat_OSuc: $i > $i ).
thf(c_SEQ_Osubseq_type,type,
c_SEQ_Osubseq: $i > $o ).
thf(tc_RealDef_Oreal_type,type,
tc_RealDef_Oreal: $i ).
thf(v_f_____type,type,
v_f____: $i ).
thf(fact_Suc__le__mono,axiom,
! [V_m_2: $i,V_n_2: $i] :
( ( c_Orderings_Oord__class_Oless__eq @ tc_Nat_Onat @ ( c_Nat_OSuc @ V_n_2 ) @ ( c_Nat_OSuc @ V_m_2 ) )
<=> ( c_Orderings_Oord__class_Oless__eq @ tc_Nat_Onat @ V_n_2 @ V_m_2 ) ) ).
thf(zip_derived_cl15,plain,
! [X0: $i,X1: $i] :
( ( c_Orderings_Oord__class_Oless__eq @ tc_Nat_Onat @ ( c_Nat_OSuc @ X0 ) @ ( c_Nat_OSuc @ X1 ) )
| ~ ( c_Orderings_Oord__class_Oless__eq @ tc_Nat_Onat @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[fact_Suc__le__mono]) ).
thf(fact_real__of__nat__le__iff,axiom,
! [V_m_2: $i,V_n_2: $i] :
( ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ ( hAPP @ ( c_RealDef_Oreal @ tc_Nat_Onat ) @ V_n_2 ) @ ( hAPP @ ( c_RealDef_Oreal @ tc_Nat_Onat ) @ V_m_2 ) )
<=> ( c_Orderings_Oord__class_Oless__eq @ tc_Nat_Onat @ V_n_2 @ V_m_2 ) ) ).
thf(zip_derived_cl49,plain,
! [X0: $i,X1: $i] :
( ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ ( hAPP @ ( c_RealDef_Oreal @ tc_Nat_Onat ) @ X0 ) @ ( hAPP @ ( c_RealDef_Oreal @ tc_Nat_Onat ) @ X1 ) )
| ~ ( c_Orderings_Oord__class_Oless__eq @ tc_Nat_Onat @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[fact_real__of__nat__le__iff]) ).
thf(conj_0,conjecture,
c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ ( hAPP @ ( c_RealDef_Oreal @ tc_Nat_Onat ) @ ( c_Nat_OSuc @ ( c_Groups_Oplus__class_Oplus @ tc_Nat_Onat @ v_N1____ @ v_N2____ ) ) ) @ ( hAPP @ ( c_RealDef_Oreal @ tc_Nat_Onat ) @ ( c_Nat_OSuc @ ( hAPP @ v_f____ @ ( c_Groups_Oplus__class_Oplus @ tc_Nat_Onat @ v_N1____ @ v_N2____ ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ ( hAPP @ ( c_RealDef_Oreal @ tc_Nat_Onat ) @ ( c_Nat_OSuc @ ( c_Groups_Oplus__class_Oplus @ tc_Nat_Onat @ v_N1____ @ v_N2____ ) ) ) @ ( hAPP @ ( c_RealDef_Oreal @ tc_Nat_Onat ) @ ( c_Nat_OSuc @ ( hAPP @ v_f____ @ ( c_Groups_Oplus__class_Oplus @ tc_Nat_Onat @ v_N1____ @ v_N2____ ) ) ) ) ),
inference('cnf.neg',[status(esa)],[conj_0]) ).
thf(zip_derived_cl910,plain,
~ ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ ( hAPP @ ( c_RealDef_Oreal @ tc_Nat_Onat ) @ ( c_Nat_OSuc @ ( c_Groups_Oplus__class_Oplus @ tc_Nat_Onat @ v_N1____ @ v_N2____ ) ) ) @ ( hAPP @ ( c_RealDef_Oreal @ tc_Nat_Onat ) @ ( c_Nat_OSuc @ ( hAPP @ v_f____ @ ( c_Groups_Oplus__class_Oplus @ tc_Nat_Onat @ v_N1____ @ v_N2____ ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4834,plain,
~ ( c_Orderings_Oord__class_Oless__eq @ tc_Nat_Onat @ ( c_Nat_OSuc @ ( c_Groups_Oplus__class_Oplus @ tc_Nat_Onat @ v_N1____ @ v_N2____ ) ) @ ( c_Nat_OSuc @ ( hAPP @ v_f____ @ ( c_Groups_Oplus__class_Oplus @ tc_Nat_Onat @ v_N1____ @ v_N2____ ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl49,zip_derived_cl910]) ).
thf(zip_derived_cl5032,plain,
~ ( c_Orderings_Oord__class_Oless__eq @ tc_Nat_Onat @ ( c_Groups_Oplus__class_Oplus @ tc_Nat_Onat @ v_N1____ @ v_N2____ ) @ ( hAPP @ v_f____ @ ( c_Groups_Oplus__class_Oplus @ tc_Nat_Onat @ v_N1____ @ v_N2____ ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl4834]) ).
thf(fact_fz_I1_J,axiom,
c_SEQ_Osubseq @ v_f____ ).
thf(zip_derived_cl1,plain,
c_SEQ_Osubseq @ v_f____,
inference(cnf,[status(esa)],[fact_fz_I1_J]) ).
thf(fact_seq__suble,axiom,
! [V_n_2: $i,V_fa_2: $i] :
( ( c_SEQ_Osubseq @ V_fa_2 )
=> ( c_Orderings_Oord__class_Oless__eq @ tc_Nat_Onat @ V_n_2 @ ( hAPP @ V_fa_2 @ V_n_2 ) ) ) ).
thf(zip_derived_cl50,plain,
! [X0: $i,X1: $i] :
( ( c_Orderings_Oord__class_Oless__eq @ tc_Nat_Onat @ X0 @ ( hAPP @ X1 @ X0 ) )
| ~ ( c_SEQ_Osubseq @ X1 ) ),
inference(cnf,[status(esa)],[fact_seq__suble]) ).
thf(zip_derived_cl2830,plain,
! [X0: $i] : ( c_Orderings_Oord__class_Oless__eq @ tc_Nat_Onat @ X0 @ ( hAPP @ v_f____ @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl1,zip_derived_cl50]) ).
thf(zip_derived_cl5035,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl5032,zip_derived_cl2830]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWW225+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.mOmeYseity true
% 0.13/0.34 % Computer : n010.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 12:04:53 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
% 0.21/0.54 % Total configuration time : 435
% 0.21/0.54 % Estimated wc time : 1092
% 0.21/0.54 % Estimated cpu time (7 cpus) : 156.0
% 0.77/0.62 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.77/0.62 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 1.06/0.64 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 1.06/0.64 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.06/0.65 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.06/0.65 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.06/0.65 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 4.74/1.20 % Solved by fo/fo3_bce.sh.
% 4.74/1.20 % BCE start: 911
% 4.74/1.20 % BCE eliminated: 54
% 4.74/1.20 % PE start: 857
% 4.74/1.20 logic: eq
% 4.74/1.20 % PE eliminated: -17
% 4.74/1.20 % done 410 iterations in 0.544s
% 4.74/1.20 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 4.74/1.20 % SZS output start Refutation
% See solution above
% 4.74/1.20
% 4.74/1.20
% 4.74/1.20 % Terminating...
% 5.13/1.26 % Runner terminated.
% 5.13/1.27 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------