%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SCT070-1 : TPTP v9.2.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.rEal4Iopuh true
% Computer : n004.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 04:50:46 PM UTC 2025
% Result : Unsatisfiable 1.07s 0.80s
% Output : Refutation 1.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 10
% Syntax : Number of formulae : 49 ( 5 unt; 0 typ; 0 def)
% Number of atoms : 133 ( 56 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 927 ( 83 ~; 84 |; 0 &; 760 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 10 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 11 usr; 8 con; 0-4 aty)
% Number of variables : 0 ( 0 ^; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(v_a_____type,type,
v_a____: $i ).
thf(tc_Arrow__Order__Mirabelle_Oalt_type,type,
tc_Arrow__Order__Mirabelle_Oalt: $i ).
thf(v_F_type,type,
v_F: $i > $i ).
thf(v_a_H_____type,type,
v_a_H____: $i ).
thf(v_P_____type,type,
v_P____: $i ).
thf(v_b_____type,type,
v_b____: $i ).
thf(c_in_type,type,
c_in: $i > $i > $i > $o ).
thf(v_b_H_____type,type,
v_b_H____: $i ).
thf(v_P_H_____type,type,
v_P_H____: $i ).
thf(tc_prod_type,type,
tc_prod: $i > $i > $i ).
thf(c_Pair_type,type,
c_Pair: $i > $i > $i > $i > $i ).
thf(cls_CHAINED_0_06,axiom,
( ( c_in @ ( c_Pair @ v_a_H____ @ v_b_H____ @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( v_F @ v_P_H____ ) @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) )
| ~ ( c_in @ ( c_Pair @ v_a____ @ v_b____ @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( v_F @ v_P____ ) @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) )
| ( v_b____ = v_a_H____ )
| ( v_a____ = v_b_H____ ) ) ).
thf(zip_derived_cl13,plain,
( ( c_in @ ( c_Pair @ v_a_H____ @ v_b_H____ @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( v_F @ v_P_H____ ) @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) )
| ~ ( c_in @ ( c_Pair @ v_a____ @ v_b____ @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( v_F @ v_P____ ) @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) )
| ( v_b____ = v_a_H____ )
| ( v_a____ = v_b_H____ ) ),
inference(cnf,[status(esa)],[cls_CHAINED_0_06]) ).
thf(cls_CHAINED_1_05,axiom,
( ( c_in @ ( c_Pair @ v_a____ @ v_b____ @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( v_F @ v_P____ ) @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) )
| ~ ( c_in @ ( c_Pair @ v_a_H____ @ v_b_H____ @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( v_F @ v_P_H____ ) @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) )
| ( v_b____ = v_a_H____ )
| ( v_a____ = v_b_H____ ) ) ).
thf(zip_derived_cl12,plain,
( ( c_in @ ( c_Pair @ v_a____ @ v_b____ @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( v_F @ v_P____ ) @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) )
| ~ ( c_in @ ( c_Pair @ v_a_H____ @ v_b_H____ @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( v_F @ v_P_H____ ) @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) )
| ( v_b____ = v_a_H____ )
| ( v_a____ = v_b_H____ ) ),
inference(cnf,[status(esa)],[cls_CHAINED_1_05]) ).
thf(cls_conjecture_0,conjecture,
~ ( ~ ( c_in @ ( c_Pair @ v_a____ @ v_b____ @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( v_F @ v_P____ ) @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) )
| ~ ( c_in @ ( c_Pair @ v_a_H____ @ v_b_H____ @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( v_F @ v_P_H____ ) @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
( ~ ( c_in @ ( c_Pair @ v_a____ @ v_b____ @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( v_F @ v_P____ ) @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) )
| ~ ( c_in @ ( c_Pair @ v_a_H____ @ v_b_H____ @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( v_F @ v_P_H____ ) @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) ),
inference('cnf.neg',[status(esa)],[cls_conjecture_0]) ).
thf(zip_derived_cl15,plain,
( ~ ( c_in @ ( c_Pair @ v_a____ @ v_b____ @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( v_F @ v_P____ ) @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) )
| ~ ( c_in @ ( c_Pair @ v_a_H____ @ v_b_H____ @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( v_F @ v_P_H____ ) @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl30,plain,
( ( v_a____ = v_b_H____ )
| ( v_b____ = v_a_H____ )
| ~ ( c_in @ ( c_Pair @ v_a_H____ @ v_b_H____ @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( v_F @ v_P_H____ ) @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) ),
inference(clc,[status(thm)],[zip_derived_cl12,zip_derived_cl15]) ).
thf(cls_CHAINED_1_03,axiom,
( ( v_a____ != v_b_H____ )
| ( c_in @ ( c_Pair @ v_a____ @ v_b____ @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( v_F @ v_P____ ) @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) )
| ~ ( c_in @ ( c_Pair @ v_a_H____ @ v_b_H____ @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( v_F @ v_P_H____ ) @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) )
| ( v_b____ = v_a_H____ ) ) ).
thf(zip_derived_cl10,plain,
( ( v_a____ != v_b_H____ )
| ( c_in @ ( c_Pair @ v_a____ @ v_b____ @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( v_F @ v_P____ ) @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) )
| ~ ( c_in @ ( c_Pair @ v_a_H____ @ v_b_H____ @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( v_F @ v_P_H____ ) @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) )
| ( v_b____ = v_a_H____ ) ),
inference(cnf,[status(esa)],[cls_CHAINED_1_03]) ).
thf(zip_derived_cl15_001,plain,
( ~ ( c_in @ ( c_Pair @ v_a____ @ v_b____ @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( v_F @ v_P____ ) @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) )
| ~ ( c_in @ ( c_Pair @ v_a_H____ @ v_b_H____ @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( v_F @ v_P_H____ ) @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl26,plain,
( ( v_b____ = v_a_H____ )
| ~ ( c_in @ ( c_Pair @ v_a_H____ @ v_b_H____ @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( v_F @ v_P_H____ ) @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) )
| ( v_a____ != v_b_H____ ) ),
inference(clc,[status(thm)],[zip_derived_cl10,zip_derived_cl15]) ).
thf(cls_CHAINED_1,axiom,
( ( v_b____ != v_a_H____ )
| ( v_a____ != v_b_H____ )
| ( c_in @ ( c_Pair @ v_a____ @ v_b____ @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( v_F @ v_P____ ) @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) )
| ~ ( c_in @ ( c_Pair @ v_a_H____ @ v_b_H____ @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( v_F @ v_P_H____ ) @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) ) ).
thf(zip_derived_cl6,plain,
( ( v_b____ != v_a_H____ )
| ( v_a____ != v_b_H____ )
| ( c_in @ ( c_Pair @ v_a____ @ v_b____ @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( v_F @ v_P____ ) @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) )
| ~ ( c_in @ ( c_Pair @ v_a_H____ @ v_b_H____ @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( v_F @ v_P_H____ ) @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) ),
inference(cnf,[status(esa)],[cls_CHAINED_1]) ).
thf(cls_CHAINED_1_01,axiom,
( ( v_b____ != v_a_H____ )
| ( v_a____ = v_b_H____ )
| ( c_in @ ( c_Pair @ v_a____ @ v_b____ @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( v_F @ v_P____ ) @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) )
| ~ ( c_in @ ( c_Pair @ v_a_H____ @ v_b_H____ @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( v_F @ v_P_H____ ) @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) ) ).
thf(zip_derived_cl8,plain,
( ( v_b____ != v_a_H____ )
| ( v_a____ = v_b_H____ )
| ( c_in @ ( c_Pair @ v_a____ @ v_b____ @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( v_F @ v_P____ ) @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) )
| ~ ( c_in @ ( c_Pair @ v_a_H____ @ v_b_H____ @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( v_F @ v_P_H____ ) @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) ),
inference(cnf,[status(esa)],[cls_CHAINED_1_01]) ).
thf(zip_derived_cl15_002,plain,
( ~ ( c_in @ ( c_Pair @ v_a____ @ v_b____ @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( v_F @ v_P____ ) @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) )
| ~ ( c_in @ ( c_Pair @ v_a_H____ @ v_b_H____ @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( v_F @ v_P_H____ ) @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl20,plain,
( ~ ( c_in @ ( c_Pair @ v_a_H____ @ v_b_H____ @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( v_F @ v_P_H____ ) @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) )
| ( v_a____ = v_b_H____ )
| ( v_b____ != v_a_H____ ) ),
inference(clc,[status(thm)],[zip_derived_cl8,zip_derived_cl15]) ).
thf(zip_derived_cl22,plain,
( ~ ( c_in @ ( c_Pair @ v_a_H____ @ v_b_H____ @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( v_F @ v_P_H____ ) @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) )
| ( c_in @ ( c_Pair @ v_a____ @ v_b____ @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( v_F @ v_P____ ) @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) )
| ( v_b____ != v_a_H____ ) ),
inference(clc,[status(thm)],[zip_derived_cl6,zip_derived_cl20]) ).
thf(zip_derived_cl15_003,plain,
( ~ ( c_in @ ( c_Pair @ v_a____ @ v_b____ @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( v_F @ v_P____ ) @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) )
| ~ ( c_in @ ( c_Pair @ v_a_H____ @ v_b_H____ @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( v_F @ v_P_H____ ) @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl23,plain,
( ( v_b____ != v_a_H____ )
| ~ ( c_in @ ( c_Pair @ v_a_H____ @ v_b_H____ @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( v_F @ v_P_H____ ) @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) ),
inference(clc,[status(thm)],[zip_derived_cl22,zip_derived_cl15]) ).
thf(zip_derived_cl27,plain,
( ( v_a____ != v_b_H____ )
| ~ ( c_in @ ( c_Pair @ v_a_H____ @ v_b_H____ @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( v_F @ v_P_H____ ) @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) ),
inference(clc,[status(thm)],[zip_derived_cl26,zip_derived_cl23]) ).
thf(zip_derived_cl31,plain,
( ~ ( c_in @ ( c_Pair @ v_a_H____ @ v_b_H____ @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( v_F @ v_P_H____ ) @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) )
| ( v_b____ = v_a_H____ ) ),
inference(clc,[status(thm)],[zip_derived_cl30,zip_derived_cl27]) ).
thf(zip_derived_cl23_004,plain,
( ( v_b____ != v_a_H____ )
| ~ ( c_in @ ( c_Pair @ v_a_H____ @ v_b_H____ @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( v_F @ v_P_H____ ) @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) ),
inference(clc,[status(thm)],[zip_derived_cl22,zip_derived_cl15]) ).
thf(zip_derived_cl32,plain,
~ ( c_in @ ( c_Pair @ v_a_H____ @ v_b_H____ @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( v_F @ v_P_H____ ) @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ),
inference(clc,[status(thm)],[zip_derived_cl31,zip_derived_cl23]) ).
thf(zip_derived_cl33,plain,
( ~ ( c_in @ ( c_Pair @ v_a____ @ v_b____ @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( v_F @ v_P____ ) @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) )
| ( v_b____ = v_a_H____ )
| ( v_a____ = v_b_H____ ) ),
inference(demod,[status(thm)],[zip_derived_cl13,zip_derived_cl32]) ).
thf(cls_CHAINED_0,axiom,
( ( v_b____ != v_a_H____ )
| ( v_a____ != v_b_H____ )
| ( c_in @ ( c_Pair @ v_a_H____ @ v_b_H____ @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( v_F @ v_P_H____ ) @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) )
| ~ ( c_in @ ( c_Pair @ v_a____ @ v_b____ @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( v_F @ v_P____ ) @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) ) ).
thf(zip_derived_cl7,plain,
( ( v_b____ != v_a_H____ )
| ( v_a____ != v_b_H____ )
| ( c_in @ ( c_Pair @ v_a_H____ @ v_b_H____ @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( v_F @ v_P_H____ ) @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) )
| ~ ( c_in @ ( c_Pair @ v_a____ @ v_b____ @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( v_F @ v_P____ ) @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) ),
inference(cnf,[status(esa)],[cls_CHAINED_0]) ).
thf(cls_CHAINED_0_02,axiom,
( ( v_b____ != v_a_H____ )
| ( v_a____ = v_b_H____ )
| ( c_in @ ( c_Pair @ v_a_H____ @ v_b_H____ @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( v_F @ v_P_H____ ) @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) )
| ~ ( c_in @ ( c_Pair @ v_a____ @ v_b____ @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( v_F @ v_P____ ) @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) ) ).
thf(zip_derived_cl9,plain,
( ( v_b____ != v_a_H____ )
| ( v_a____ = v_b_H____ )
| ( c_in @ ( c_Pair @ v_a_H____ @ v_b_H____ @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( v_F @ v_P_H____ ) @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) )
| ~ ( c_in @ ( c_Pair @ v_a____ @ v_b____ @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( v_F @ v_P____ ) @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) ),
inference(cnf,[status(esa)],[cls_CHAINED_0_02]) ).
thf(zip_derived_cl15_005,plain,
( ~ ( c_in @ ( c_Pair @ v_a____ @ v_b____ @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( v_F @ v_P____ ) @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) )
| ~ ( c_in @ ( c_Pair @ v_a_H____ @ v_b_H____ @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( v_F @ v_P_H____ ) @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl21,plain,
( ~ ( c_in @ ( c_Pair @ v_a____ @ v_b____ @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( v_F @ v_P____ ) @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) )
| ( v_a____ = v_b_H____ )
| ( v_b____ != v_a_H____ ) ),
inference(clc,[status(thm)],[zip_derived_cl9,zip_derived_cl15]) ).
thf(zip_derived_cl24,plain,
( ~ ( c_in @ ( c_Pair @ v_a____ @ v_b____ @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( v_F @ v_P____ ) @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) )
| ( c_in @ ( c_Pair @ v_a_H____ @ v_b_H____ @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( v_F @ v_P_H____ ) @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) )
| ( v_b____ != v_a_H____ ) ),
inference(clc,[status(thm)],[zip_derived_cl7,zip_derived_cl21]) ).
thf(zip_derived_cl23_006,plain,
( ( v_b____ != v_a_H____ )
| ~ ( c_in @ ( c_Pair @ v_a_H____ @ v_b_H____ @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( v_F @ v_P_H____ ) @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) ),
inference(clc,[status(thm)],[zip_derived_cl22,zip_derived_cl15]) ).
thf(zip_derived_cl25,plain,
( ( v_b____ != v_a_H____ )
| ~ ( c_in @ ( c_Pair @ v_a____ @ v_b____ @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( v_F @ v_P____ ) @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) ),
inference(clc,[status(thm)],[zip_derived_cl24,zip_derived_cl23]) ).
thf(zip_derived_cl34,plain,
( ( v_a____ = v_b_H____ )
| ~ ( c_in @ ( c_Pair @ v_a____ @ v_b____ @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( v_F @ v_P____ ) @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) ),
inference(clc,[status(thm)],[zip_derived_cl33,zip_derived_cl25]) ).
thf(cls_CHAINED_0_04,axiom,
( ( v_a____ != v_b_H____ )
| ( c_in @ ( c_Pair @ v_a_H____ @ v_b_H____ @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( v_F @ v_P_H____ ) @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) )
| ~ ( c_in @ ( c_Pair @ v_a____ @ v_b____ @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( v_F @ v_P____ ) @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) )
| ( v_b____ = v_a_H____ ) ) ).
thf(zip_derived_cl11,plain,
( ( v_a____ != v_b_H____ )
| ( c_in @ ( c_Pair @ v_a_H____ @ v_b_H____ @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( v_F @ v_P_H____ ) @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) )
| ~ ( c_in @ ( c_Pair @ v_a____ @ v_b____ @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( v_F @ v_P____ ) @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) )
| ( v_b____ = v_a_H____ ) ),
inference(cnf,[status(esa)],[cls_CHAINED_0_04]) ).
thf(zip_derived_cl27_007,plain,
( ( v_a____ != v_b_H____ )
| ~ ( c_in @ ( c_Pair @ v_a_H____ @ v_b_H____ @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( v_F @ v_P_H____ ) @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) ),
inference(clc,[status(thm)],[zip_derived_cl26,zip_derived_cl23]) ).
thf(zip_derived_cl28,plain,
( ( v_b____ = v_a_H____ )
| ~ ( c_in @ ( c_Pair @ v_a____ @ v_b____ @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( v_F @ v_P____ ) @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) )
| ( v_a____ != v_b_H____ ) ),
inference(clc,[status(thm)],[zip_derived_cl11,zip_derived_cl27]) ).
thf(zip_derived_cl25_008,plain,
( ( v_b____ != v_a_H____ )
| ~ ( c_in @ ( c_Pair @ v_a____ @ v_b____ @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( v_F @ v_P____ ) @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) ),
inference(clc,[status(thm)],[zip_derived_cl24,zip_derived_cl23]) ).
thf(zip_derived_cl29,plain,
( ( v_a____ != v_b_H____ )
| ~ ( c_in @ ( c_Pair @ v_a____ @ v_b____ @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( v_F @ v_P____ ) @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) ),
inference(clc,[status(thm)],[zip_derived_cl28,zip_derived_cl25]) ).
thf(zip_derived_cl35,plain,
~ ( c_in @ ( c_Pair @ v_a____ @ v_b____ @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( v_F @ v_P____ ) @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ),
inference(clc,[status(thm)],[zip_derived_cl34,zip_derived_cl29]) ).
thf(cls_conjecture_1,conjecture,
~ ( ( c_in @ ( c_Pair @ v_a_H____ @ v_b_H____ @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( v_F @ v_P_H____ ) @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) )
| ( c_in @ ( c_Pair @ v_a____ @ v_b____ @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( v_F @ v_P____ ) @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
( ( c_in @ ( c_Pair @ v_a_H____ @ v_b_H____ @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( v_F @ v_P_H____ ) @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) )
| ( c_in @ ( c_Pair @ v_a____ @ v_b____ @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( v_F @ v_P____ ) @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) ),
inference('cnf.neg',[status(esa)],[cls_conjecture_1]) ).
thf(zip_derived_cl14,plain,
( ( c_in @ ( c_Pair @ v_a_H____ @ v_b_H____ @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( v_F @ v_P_H____ ) @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) )
| ( c_in @ ( c_Pair @ v_a____ @ v_b____ @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( v_F @ v_P____ ) @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl32_009,plain,
~ ( c_in @ ( c_Pair @ v_a_H____ @ v_b_H____ @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( v_F @ v_P_H____ ) @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ),
inference(clc,[status(thm)],[zip_derived_cl31,zip_derived_cl23]) ).
thf(zip_derived_cl36,plain,
c_in @ ( c_Pair @ v_a____ @ v_b____ @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( v_F @ v_P____ ) @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ),
inference(demod,[status(thm)],[zip_derived_cl14,zip_derived_cl32]) ).
thf(zip_derived_cl37,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl35,zip_derived_cl36]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SCT070-1 : TPTP v9.2.0. Released v4.1.0.
% 0.10/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.rEal4Iopuh true
% 0.12/0.34 % Computer : n004.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Oct 1 15:13:23 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % Running portfolio for 300 s
% 0.12/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34 % Number of cores: 8
% 0.12/0.35 % Python version: Python 3.6.8
% 0.12/0.35 % Running in FO mode
% 0.54/0.59 % Total configuration time : 435
% 0.54/0.59 % Estimated wc time : 1092
% 0.54/0.59 % Estimated cpu time (7 cpus) : 156.0
% 0.80/0.65 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.80/0.65 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.80/0.66 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.80/0.66 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.80/0.66 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.80/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.80/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.07/0.80 % Solved by fo/fo4.sh.
% 1.07/0.80 % done 16 iterations in 0.062s
% 1.07/0.80 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.07/0.80 % SZS output start Refutation
% See solution above
% 1.07/0.80
% 1.07/0.80
% 1.07/0.80 % Terminating...
% 1.76/0.88 % Runner terminated.
% 1.76/0.89 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------