%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP780+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.bCqLACfV1X 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 04:37:14 PM UTC 2025
% Result : Theorem 139.01s 22.98s
% Output : Refutation 139.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 12
% Syntax : Number of formulae : 115 ( 110 unt; 0 typ; 0 def)
% Number of atoms : 120 ( 105 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 941 ( 8 ~; 4 |; 0 &; 928 @)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 14 usr; 10 con; 0-3 aty)
% Number of variables : 203 ( 0 ^; 203 !; 0 ?; 203 :)
% Comments :
%------------------------------------------------------------------------------
thf(quotient_type,type,
quotient: $i > $i > $i ).
thf(c3_type,type,
c3: $i ).
thf(product_type,type,
product: $i > $i > $i ).
thf(c2_type,type,
c2: $i ).
thf(difference_type,type,
difference: $i > $i > $i ).
thf(a1_type,type,
a1: $i ).
thf(c1_type,type,
c1: $i ).
thf(a2_type,type,
a2: $i ).
thf(a3_type,type,
a3: $i ).
thf(bigC_type,type,
bigC: $i > $i > $i > $i ).
thf(b2_type,type,
b2: $i ).
thf(b1_type,type,
b1: $i ).
thf(b3_type,type,
b3: $i ).
thf(d_type,type,
d: $i > $i > $i > $o ).
thf(sos08,axiom,
! [X0: $i,X1: $i,X2: $i] :
( ( d @ X0 @ X1 @ X2 )
<=> ( ( product @ X0 @ X1 )
= ( product @ X1 @ X2 ) ) ) ).
thf(zip_derived_cl8,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( d @ X0 @ X1 @ X2 )
| ( ( product @ X0 @ X1 )
!= ( product @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[sos08]) ).
thf(goals,conjecture,
d @ ( bigC @ a1 @ b3 @ c2 ) @ ( bigC @ a2 @ b1 @ c3 ) @ ( bigC @ a3 @ b2 @ c1 ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( d @ ( bigC @ a1 @ b3 @ c2 ) @ ( bigC @ a2 @ b1 @ c3 ) @ ( bigC @ a3 @ b2 @ c1 ) ),
inference('cnf.neg',[status(esa)],[goals]) ).
thf(zip_derived_cl13,plain,
~ ( d @ ( bigC @ a1 @ b3 @ c2 ) @ ( bigC @ a2 @ b1 @ c3 ) @ ( bigC @ a3 @ b2 @ c1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl31,plain,
( ( product @ ( bigC @ a1 @ b3 @ c2 ) @ ( bigC @ a2 @ b1 @ c3 ) )
!= ( product @ ( bigC @ a2 @ b1 @ c3 ) @ ( bigC @ a3 @ b2 @ c1 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl8,zip_derived_cl13]) ).
thf(sos05,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( product @ ( product @ A @ B ) @ ( product @ C @ D ) )
= ( product @ ( product @ A @ C ) @ ( product @ B @ D ) ) ) ).
thf(zip_derived_cl4,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( product @ ( product @ X0 @ X2 ) @ ( product @ X1 @ X3 ) )
= ( product @ ( product @ X0 @ X1 ) @ ( product @ X2 @ X3 ) ) ),
inference(cnf,[status(esa)],[sos05]) ).
thf(sos09,axiom,
! [C: $i,B: $i,A: $i] :
( ( bigC @ A @ B @ C )
= ( product @ ( product @ A @ B ) @ ( product @ C @ A ) ) ) ).
thf(zip_derived_cl9,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( bigC @ X0 @ X1 @ X2 )
= ( product @ ( product @ X0 @ X1 ) @ ( product @ X2 @ X0 ) ) ),
inference(cnf,[status(esa)],[sos09]) ).
thf(zip_derived_cl163,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( bigC @ ( product @ X2 @ X0 ) @ X4 @ ( product @ X3 @ X1 ) )
= ( product @ ( product @ ( product @ X2 @ X0 ) @ X4 ) @ ( product @ ( product @ X3 @ X2 ) @ ( product @ X1 @ X0 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl4,zip_derived_cl9]) ).
thf(zip_derived_cl4_001,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( product @ ( product @ X0 @ X2 ) @ ( product @ X1 @ X3 ) )
= ( product @ ( product @ X0 @ X1 ) @ ( product @ X2 @ X3 ) ) ),
inference(cnf,[status(esa)],[sos05]) ).
thf(zip_derived_cl4_002,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( product @ ( product @ X0 @ X2 ) @ ( product @ X1 @ X3 ) )
= ( product @ ( product @ X0 @ X1 ) @ ( product @ X2 @ X3 ) ) ),
inference(cnf,[status(esa)],[sos05]) ).
thf(zip_derived_cl59,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( product @ ( product @ ( product @ X3 @ X1 ) @ X5 ) @ ( product @ ( product @ X2 @ X0 ) @ X4 ) )
= ( product @ ( product @ ( product @ X3 @ X2 ) @ ( product @ X1 @ X0 ) ) @ ( product @ X5 @ X4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl4,zip_derived_cl4]) ).
thf(zip_derived_cl11939,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( product @ ( product @ ( product @ X5 @ X3 ) @ ( product @ X1 @ X5 ) ) @ ( product @ ( product @ X4 @ X2 ) @ ( product @ X0 @ X4 ) ) )
= ( bigC @ ( product @ X5 @ X4 ) @ ( product @ X3 @ X2 ) @ ( product @ X1 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl163,zip_derived_cl59]) ).
thf(zip_derived_cl9_003,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( bigC @ X0 @ X1 @ X2 )
= ( product @ ( product @ X0 @ X1 ) @ ( product @ X2 @ X0 ) ) ),
inference(cnf,[status(esa)],[sos09]) ).
thf(zip_derived_cl9_004,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( bigC @ X0 @ X1 @ X2 )
= ( product @ ( product @ X0 @ X1 ) @ ( product @ X2 @ X0 ) ) ),
inference(cnf,[status(esa)],[sos09]) ).
thf(zip_derived_cl12360,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( product @ ( bigC @ X5 @ X3 @ X1 ) @ ( bigC @ X4 @ X2 @ X0 ) )
= ( bigC @ ( product @ X5 @ X4 ) @ ( product @ X3 @ X2 ) @ ( product @ X1 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11939,zip_derived_cl9,zip_derived_cl9]) ).
thf(sos11,axiom,
d @ b1 @ b2 @ b3 ).
thf(zip_derived_cl11,plain,
d @ b1 @ b2 @ b3,
inference(cnf,[status(esa)],[sos11]) ).
thf(zip_derived_cl7,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( product @ X2 @ X0 )
= ( product @ X0 @ X1 ) )
| ~ ( d @ X2 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[sos08]) ).
thf(zip_derived_cl36,plain,
( ( product @ b1 @ b2 )
= ( product @ b2 @ b3 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl11,zip_derived_cl7]) ).
thf(zip_derived_cl9_005,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( bigC @ X0 @ X1 @ X2 )
= ( product @ ( product @ X0 @ X1 ) @ ( product @ X2 @ X0 ) ) ),
inference(cnf,[status(esa)],[sos09]) ).
thf(zip_derived_cl4_006,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( product @ ( product @ X0 @ X2 ) @ ( product @ X1 @ X3 ) )
= ( product @ ( product @ X0 @ X1 ) @ ( product @ X2 @ X3 ) ) ),
inference(cnf,[status(esa)],[sos05]) ).
thf(zip_derived_cl158,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( product @ ( product @ X2 @ X0 ) @ ( product @ X1 @ X2 ) )
= ( bigC @ X2 @ X1 @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl9,zip_derived_cl4]) ).
thf(sos06,axiom,
! [A: $i] :
( ( product @ A @ A )
= A ) ).
thf(zip_derived_cl5,plain,
! [X0: $i] :
( ( product @ X0 @ X0 )
= X0 ),
inference(cnf,[status(esa)],[sos06]) ).
thf(zip_derived_cl4_007,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( product @ ( product @ X0 @ X2 ) @ ( product @ X1 @ X3 ) )
= ( product @ ( product @ X0 @ X1 ) @ ( product @ X2 @ X3 ) ) ),
inference(cnf,[status(esa)],[sos05]) ).
thf(zip_derived_cl70,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( product @ ( product @ X2 @ X1 ) @ X0 )
= ( product @ ( product @ X2 @ X0 ) @ ( product @ X1 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl5,zip_derived_cl4]) ).
thf(zip_derived_cl1001,plain,
! [X0: $i,X1: $i] :
( ( product @ ( product @ X0 @ X1 ) @ X0 )
= ( bigC @ X0 @ X1 @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl158,zip_derived_cl70]) ).
thf(zip_derived_cl5_008,plain,
! [X0: $i] :
( ( product @ X0 @ X0 )
= X0 ),
inference(cnf,[status(esa)],[sos06]) ).
thf(zip_derived_cl158_009,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( product @ ( product @ X2 @ X0 ) @ ( product @ X1 @ X2 ) )
= ( bigC @ X2 @ X1 @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl9,zip_derived_cl4]) ).
thf(zip_derived_cl845,plain,
! [X0: $i,X1: $i] :
( ( product @ X0 @ ( product @ X1 @ X0 ) )
= ( bigC @ X0 @ X1 @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl5,zip_derived_cl158]) ).
thf(zip_derived_cl1175,plain,
! [X0: $i,X1: $i] :
( ( product @ ( product @ X0 @ X1 ) @ X0 )
= ( product @ X0 @ ( product @ X1 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1001,zip_derived_cl845]) ).
thf(zip_derived_cl1249,plain,
( ( product @ ( product @ b1 @ b2 ) @ b2 )
= ( product @ b2 @ ( product @ b3 @ b2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl36,zip_derived_cl1175]) ).
thf(sos07,axiom,
! [B: $i,A: $i] :
( ( product @ ( product @ ( product @ A @ B ) @ B ) @ ( product @ B @ ( product @ B @ A ) ) )
= B ) ).
thf(zip_derived_cl6,plain,
! [X0: $i,X1: $i] :
( ( product @ ( product @ ( product @ X1 @ X0 ) @ X0 ) @ ( product @ X0 @ ( product @ X0 @ X1 ) ) )
= X0 ),
inference(cnf,[status(esa)],[sos07]) ).
thf(sos01,axiom,
! [B: $i,A: $i] :
( ( difference @ A @ ( product @ A @ B ) )
= B ) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i] :
( ( difference @ X1 @ ( product @ X1 @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[sos01]) ).
thf(zip_derived_cl109,plain,
! [X0: $i,X1: $i] :
( ( difference @ ( product @ ( product @ X1 @ X0 ) @ X0 ) @ X0 )
= ( product @ X0 @ ( product @ X0 @ X1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl6,zip_derived_cl0]) ).
thf(zip_derived_cl3029,plain,
( ( difference @ ( product @ b2 @ ( product @ b3 @ b2 ) ) @ b2 )
= ( product @ b2 @ ( product @ b2 @ b1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1249,zip_derived_cl109]) ).
thf(sos02,axiom,
! [B: $i,A: $i] :
( ( product @ A @ ( difference @ A @ B ) )
= B ) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i] :
( ( product @ X1 @ ( difference @ X1 @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[sos02]) ).
thf(zip_derived_cl1175_010,plain,
! [X0: $i,X1: $i] :
( ( product @ ( product @ X0 @ X1 ) @ X0 )
= ( product @ X0 @ ( product @ X1 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1001,zip_derived_cl845]) ).
thf(zip_derived_cl0_011,plain,
! [X0: $i,X1: $i] :
( ( difference @ X1 @ ( product @ X1 @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[sos01]) ).
thf(zip_derived_cl1176,plain,
! [X0: $i,X1: $i] :
( ( difference @ ( product @ X0 @ X1 ) @ ( product @ X0 @ ( product @ X1 @ X0 ) ) )
= X0 ),
inference('s_sup+',[status(thm)],[zip_derived_cl1175,zip_derived_cl0]) ).
thf(zip_derived_cl4813,plain,
! [X0: $i,X1: $i] :
( ( difference @ X0 @ ( product @ X1 @ ( product @ ( difference @ X1 @ X0 ) @ X1 ) ) )
= X1 ),
inference('s_sup+',[status(thm)],[zip_derived_cl1,zip_derived_cl1176]) ).
thf(zip_derived_cl6060,plain,
( ( difference @ b2 @ ( product @ ( product @ b2 @ ( product @ b3 @ b2 ) ) @ ( product @ ( product @ b2 @ ( product @ b2 @ b1 ) ) @ ( product @ b2 @ ( product @ b3 @ b2 ) ) ) ) )
= ( product @ b2 @ ( product @ b3 @ b2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl3029,zip_derived_cl4813]) ).
thf(zip_derived_cl4_012,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( product @ ( product @ X0 @ X2 ) @ ( product @ X1 @ X3 ) )
= ( product @ ( product @ X0 @ X1 ) @ ( product @ X2 @ X3 ) ) ),
inference(cnf,[status(esa)],[sos05]) ).
thf(zip_derived_cl5_013,plain,
! [X0: $i] :
( ( product @ X0 @ X0 )
= X0 ),
inference(cnf,[status(esa)],[sos06]) ).
thf(zip_derived_cl36_014,plain,
( ( product @ b1 @ b2 )
= ( product @ b2 @ b3 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl11,zip_derived_cl7]) ).
thf(zip_derived_cl4_015,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( product @ ( product @ X0 @ X2 ) @ ( product @ X1 @ X3 ) )
= ( product @ ( product @ X0 @ X1 ) @ ( product @ X2 @ X3 ) ) ),
inference(cnf,[status(esa)],[sos05]) ).
thf(zip_derived_cl83,plain,
! [X0: $i,X1: $i] :
( ( product @ ( product @ b1 @ b2 ) @ ( product @ X1 @ X0 ) )
= ( product @ ( product @ b2 @ X1 ) @ ( product @ b3 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl36,zip_derived_cl4]) ).
thf(zip_derived_cl4_016,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( product @ ( product @ X0 @ X2 ) @ ( product @ X1 @ X3 ) )
= ( product @ ( product @ X0 @ X1 ) @ ( product @ X2 @ X3 ) ) ),
inference(cnf,[status(esa)],[sos05]) ).
thf(zip_derived_cl5_017,plain,
! [X0: $i] :
( ( product @ X0 @ X0 )
= X0 ),
inference(cnf,[status(esa)],[sos06]) ).
thf(zip_derived_cl5_018,plain,
! [X0: $i] :
( ( product @ X0 @ X0 )
= X0 ),
inference(cnf,[status(esa)],[sos06]) ).
thf(zip_derived_cl4_019,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( product @ ( product @ X0 @ X2 ) @ ( product @ X1 @ X3 ) )
= ( product @ ( product @ X0 @ X1 ) @ ( product @ X2 @ X3 ) ) ),
inference(cnf,[status(esa)],[sos05]) ).
thf(zip_derived_cl5_020,plain,
! [X0: $i] :
( ( product @ X0 @ X0 )
= X0 ),
inference(cnf,[status(esa)],[sos06]) ).
thf(zip_derived_cl36_021,plain,
( ( product @ b1 @ b2 )
= ( product @ b2 @ b3 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl11,zip_derived_cl7]) ).
thf(zip_derived_cl9_022,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( bigC @ X0 @ X1 @ X2 )
= ( product @ ( product @ X0 @ X1 ) @ ( product @ X2 @ X0 ) ) ),
inference(cnf,[status(esa)],[sos09]) ).
thf(zip_derived_cl169,plain,
! [X0: $i] :
( ( bigC @ b3 @ X0 @ b2 )
= ( product @ ( product @ b3 @ X0 ) @ ( product @ b1 @ b2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl36,zip_derived_cl9]) ).
thf(zip_derived_cl169_023,plain,
! [X0: $i] :
( ( bigC @ b3 @ X0 @ b2 )
= ( product @ ( product @ b3 @ X0 ) @ ( product @ b1 @ b2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl36,zip_derived_cl9]) ).
thf(zip_derived_cl70_024,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( product @ ( product @ X2 @ X1 ) @ X0 )
= ( product @ ( product @ X2 @ X0 ) @ ( product @ X1 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl5,zip_derived_cl4]) ).
thf(zip_derived_cl1003,plain,
( ( product @ ( product @ b3 @ b1 ) @ b2 )
= ( bigC @ b3 @ b2 @ b2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl169,zip_derived_cl70]) ).
thf(zip_derived_cl0_025,plain,
! [X0: $i,X1: $i] :
( ( difference @ X1 @ ( product @ X1 @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[sos01]) ).
thf(zip_derived_cl6076,plain,
( ( product @ ( product @ b3 @ b1 ) @ b2 )
= ( product @ b2 @ ( product @ b3 @ b2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6060,zip_derived_cl4,zip_derived_cl5,zip_derived_cl83,zip_derived_cl4,zip_derived_cl5,zip_derived_cl5,zip_derived_cl4,zip_derived_cl5,zip_derived_cl169,zip_derived_cl1003,zip_derived_cl0]) ).
thf(sos03,axiom,
! [B: $i,A: $i] :
( ( quotient @ ( product @ A @ B ) @ B )
= A ) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i] :
( ( quotient @ ( product @ X0 @ X1 ) @ X1 )
= X0 ),
inference(cnf,[status(esa)],[sos03]) ).
thf(zip_derived_cl6808,plain,
( ( quotient @ ( product @ b2 @ ( product @ b3 @ b2 ) ) @ b2 )
= ( product @ b3 @ b1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl6076,zip_derived_cl2]) ).
thf(zip_derived_cl1249_026,plain,
( ( product @ ( product @ b1 @ b2 ) @ b2 )
= ( product @ b2 @ ( product @ b3 @ b2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl36,zip_derived_cl1175]) ).
thf(zip_derived_cl2_027,plain,
! [X0: $i,X1: $i] :
( ( quotient @ ( product @ X0 @ X1 ) @ X1 )
= X0 ),
inference(cnf,[status(esa)],[sos03]) ).
thf(zip_derived_cl1315,plain,
( ( quotient @ ( product @ b2 @ ( product @ b3 @ b2 ) ) @ b2 )
= ( product @ b1 @ b2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1249,zip_derived_cl2]) ).
thf(zip_derived_cl6858,plain,
( ( product @ b1 @ b2 )
= ( product @ b3 @ b1 ) ),
inference(demod,[status(thm)],[zip_derived_cl6808,zip_derived_cl1315]) ).
thf(sos12,axiom,
d @ c1 @ c2 @ c3 ).
thf(zip_derived_cl12,plain,
d @ c1 @ c2 @ c3,
inference(cnf,[status(esa)],[sos12]) ).
thf(zip_derived_cl7_028,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( product @ X2 @ X0 )
= ( product @ X0 @ X1 ) )
| ~ ( d @ X2 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[sos08]) ).
thf(zip_derived_cl40,plain,
( ( product @ c1 @ c2 )
= ( product @ c2 @ c3 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl12,zip_derived_cl7]) ).
thf(zip_derived_cl12360_029,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( product @ ( bigC @ X5 @ X3 @ X1 ) @ ( bigC @ X4 @ X2 @ X0 ) )
= ( bigC @ ( product @ X5 @ X4 ) @ ( product @ X3 @ X2 ) @ ( product @ X1 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11939,zip_derived_cl9,zip_derived_cl9]) ).
thf(sos10,axiom,
d @ a1 @ a2 @ a3 ).
thf(zip_derived_cl10,plain,
d @ a1 @ a2 @ a3,
inference(cnf,[status(esa)],[sos10]) ).
thf(zip_derived_cl7_030,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( product @ X2 @ X0 )
= ( product @ X0 @ X1 ) )
| ~ ( d @ X2 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[sos08]) ).
thf(zip_derived_cl32,plain,
( ( product @ a1 @ a2 )
= ( product @ a2 @ a3 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl10,zip_derived_cl7]) ).
thf(zip_derived_cl40_031,plain,
( ( product @ c1 @ c2 )
= ( product @ c2 @ c3 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl12,zip_derived_cl7]) ).
thf(zip_derived_cl1175_032,plain,
! [X0: $i,X1: $i] :
( ( product @ ( product @ X0 @ X1 ) @ X0 )
= ( product @ X0 @ ( product @ X1 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1001,zip_derived_cl845]) ).
thf(zip_derived_cl1250,plain,
( ( product @ ( product @ c1 @ c2 ) @ c2 )
= ( product @ c2 @ ( product @ c3 @ c2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl40,zip_derived_cl1175]) ).
thf(zip_derived_cl109_033,plain,
! [X0: $i,X1: $i] :
( ( difference @ ( product @ ( product @ X1 @ X0 ) @ X0 ) @ X0 )
= ( product @ X0 @ ( product @ X0 @ X1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl6,zip_derived_cl0]) ).
thf(zip_derived_cl3030,plain,
( ( difference @ ( product @ c2 @ ( product @ c3 @ c2 ) ) @ c2 )
= ( product @ c2 @ ( product @ c2 @ c1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1250,zip_derived_cl109]) ).
thf(zip_derived_cl4813_034,plain,
! [X0: $i,X1: $i] :
( ( difference @ X0 @ ( product @ X1 @ ( product @ ( difference @ X1 @ X0 ) @ X1 ) ) )
= X1 ),
inference('s_sup+',[status(thm)],[zip_derived_cl1,zip_derived_cl1176]) ).
thf(zip_derived_cl6061,plain,
( ( difference @ c2 @ ( product @ ( product @ c2 @ ( product @ c3 @ c2 ) ) @ ( product @ ( product @ c2 @ ( product @ c2 @ c1 ) ) @ ( product @ c2 @ ( product @ c3 @ c2 ) ) ) ) )
= ( product @ c2 @ ( product @ c3 @ c2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl3030,zip_derived_cl4813]) ).
thf(zip_derived_cl4_035,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( product @ ( product @ X0 @ X2 ) @ ( product @ X1 @ X3 ) )
= ( product @ ( product @ X0 @ X1 ) @ ( product @ X2 @ X3 ) ) ),
inference(cnf,[status(esa)],[sos05]) ).
thf(zip_derived_cl5_036,plain,
! [X0: $i] :
( ( product @ X0 @ X0 )
= X0 ),
inference(cnf,[status(esa)],[sos06]) ).
thf(zip_derived_cl40_037,plain,
( ( product @ c1 @ c2 )
= ( product @ c2 @ c3 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl12,zip_derived_cl7]) ).
thf(zip_derived_cl4_038,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( product @ ( product @ X0 @ X2 ) @ ( product @ X1 @ X3 ) )
= ( product @ ( product @ X0 @ X1 ) @ ( product @ X2 @ X3 ) ) ),
inference(cnf,[status(esa)],[sos05]) ).
thf(zip_derived_cl103,plain,
! [X0: $i,X1: $i] :
( ( product @ ( product @ c2 @ X1 ) @ ( product @ c3 @ X0 ) )
= ( product @ ( product @ c1 @ c2 ) @ ( product @ X1 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl40,zip_derived_cl4]) ).
thf(zip_derived_cl4_039,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( product @ ( product @ X0 @ X2 ) @ ( product @ X1 @ X3 ) )
= ( product @ ( product @ X0 @ X1 ) @ ( product @ X2 @ X3 ) ) ),
inference(cnf,[status(esa)],[sos05]) ).
thf(zip_derived_cl5_040,plain,
! [X0: $i] :
( ( product @ X0 @ X0 )
= X0 ),
inference(cnf,[status(esa)],[sos06]) ).
thf(zip_derived_cl5_041,plain,
! [X0: $i] :
( ( product @ X0 @ X0 )
= X0 ),
inference(cnf,[status(esa)],[sos06]) ).
thf(zip_derived_cl4_042,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( product @ ( product @ X0 @ X2 ) @ ( product @ X1 @ X3 ) )
= ( product @ ( product @ X0 @ X1 ) @ ( product @ X2 @ X3 ) ) ),
inference(cnf,[status(esa)],[sos05]) ).
thf(zip_derived_cl5_043,plain,
! [X0: $i] :
( ( product @ X0 @ X0 )
= X0 ),
inference(cnf,[status(esa)],[sos06]) ).
thf(zip_derived_cl40_044,plain,
( ( product @ c1 @ c2 )
= ( product @ c2 @ c3 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl12,zip_derived_cl7]) ).
thf(zip_derived_cl9_045,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( bigC @ X0 @ X1 @ X2 )
= ( product @ ( product @ X0 @ X1 ) @ ( product @ X2 @ X0 ) ) ),
inference(cnf,[status(esa)],[sos09]) ).
thf(zip_derived_cl170,plain,
! [X0: $i] :
( ( bigC @ c3 @ X0 @ c2 )
= ( product @ ( product @ c3 @ X0 ) @ ( product @ c1 @ c2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl40,zip_derived_cl9]) ).
thf(zip_derived_cl170_046,plain,
! [X0: $i] :
( ( bigC @ c3 @ X0 @ c2 )
= ( product @ ( product @ c3 @ X0 ) @ ( product @ c1 @ c2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl40,zip_derived_cl9]) ).
thf(zip_derived_cl70_047,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( product @ ( product @ X2 @ X1 ) @ X0 )
= ( product @ ( product @ X2 @ X0 ) @ ( product @ X1 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl5,zip_derived_cl4]) ).
thf(zip_derived_cl4336,plain,
( ( product @ ( product @ c3 @ c1 ) @ c2 )
= ( bigC @ c3 @ c2 @ c2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl170,zip_derived_cl70]) ).
thf(zip_derived_cl0_048,plain,
! [X0: $i,X1: $i] :
( ( difference @ X1 @ ( product @ X1 @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[sos01]) ).
thf(zip_derived_cl6077,plain,
( ( product @ ( product @ c3 @ c1 ) @ c2 )
= ( product @ c2 @ ( product @ c3 @ c2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6061,zip_derived_cl4,zip_derived_cl5,zip_derived_cl103,zip_derived_cl4,zip_derived_cl5,zip_derived_cl5,zip_derived_cl4,zip_derived_cl5,zip_derived_cl170,zip_derived_cl4336,zip_derived_cl0]) ).
thf(zip_derived_cl2_049,plain,
! [X0: $i,X1: $i] :
( ( quotient @ ( product @ X0 @ X1 ) @ X1 )
= X0 ),
inference(cnf,[status(esa)],[sos03]) ).
thf(zip_derived_cl9109,plain,
( ( quotient @ ( product @ c2 @ ( product @ c3 @ c2 ) ) @ c2 )
= ( product @ c3 @ c1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl6077,zip_derived_cl2]) ).
thf(zip_derived_cl1250_050,plain,
( ( product @ ( product @ c1 @ c2 ) @ c2 )
= ( product @ c2 @ ( product @ c3 @ c2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl40,zip_derived_cl1175]) ).
thf(zip_derived_cl2_051,plain,
! [X0: $i,X1: $i] :
( ( quotient @ ( product @ X0 @ X1 ) @ X1 )
= X0 ),
inference(cnf,[status(esa)],[sos03]) ).
thf(zip_derived_cl1352,plain,
( ( quotient @ ( product @ c2 @ ( product @ c3 @ c2 ) ) @ c2 )
= ( product @ c1 @ c2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1250,zip_derived_cl2]) ).
thf(zip_derived_cl9173,plain,
( ( product @ c1 @ c2 )
= ( product @ c3 @ c1 ) ),
inference(demod,[status(thm)],[zip_derived_cl9109,zip_derived_cl1352]) ).
thf(zip_derived_cl32429,plain,
( ( bigC @ ( product @ a1 @ a2 ) @ ( product @ b1 @ b2 ) @ ( product @ c1 @ c2 ) )
!= ( bigC @ ( product @ a1 @ a2 ) @ ( product @ b1 @ b2 ) @ ( product @ c1 @ c2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl31,zip_derived_cl12360,zip_derived_cl6858,zip_derived_cl40,zip_derived_cl12360,zip_derived_cl32,zip_derived_cl9173]) ).
thf(zip_derived_cl32430,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl32429]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP780+1 : TPTP v9.2.0. Released v4.1.0.
% 0.11/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.bCqLACfV1X true
% 0.13/0.35 % Computer : n004.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed Oct 1 14:13:23 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/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
% 0.60/0.75 % Total configuration time : 435
% 0.60/0.75 % Estimated wc time : 1092
% 0.60/0.75 % Estimated cpu time (7 cpus) : 156.0
% 0.61/0.85 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.61/0.86 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.62/0.87 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.62/0.87 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.63/0.88 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.63/0.91 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.63/0.91 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 139.01/22.98 % Solved by fo/fo6_bce.sh.
% 139.01/22.98 % BCE start: 14
% 139.01/22.98 % BCE eliminated: 0
% 139.01/22.98 % PE start: 14
% 139.01/22.98 logic: eq
% 139.01/22.98 % PE eliminated: -1
% 139.01/22.98 % done 667 iterations in 22.082s
% 139.01/22.98 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 139.01/22.98 % SZS output start Refutation
% See solution above
% 139.01/22.98
% 139.01/22.98
% 139.01/22.98 % Terminating...
% 139.94/23.14 % Runner terminated.
% 139.94/23.15 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------