%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ITP066^1 : TPTP v9.2.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.iLX0HU9akw true
% Computer : n015.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 04:38:43 PM UTC 2025
% Result : Theorem 1.59s 1.27s
% Output : Refutation 1.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 5
% Syntax : Number of formulae : 28 ( 19 unt; 0 typ; 0 def)
% Number of atoms : 59 ( 27 equ; 0 cnn)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 462 ( 2 ~; 0 |; 0 &; 429 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Number of types : 3 ( 3 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 17 ( 14 usr; 11 con; 0-3 aty)
% ( 31 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 82 ( 31 ^; 51 !; 0 ?; 82 :)
% Comments :
%------------------------------------------------------------------------------
thf(tree_a_type,type,
tree_a: $tType ).
thf(a_type,type,
a: $tType ).
thf(produc143150363Tree_a_type,type,
produc143150363Tree_a: $tType ).
thf(t_a2_type,type,
t_a2: tree_a ).
thf(l2_type,type,
l2: tree_a ).
thf(product_snd_a_Tree_a_type,type,
product_snd_a_Tree_a: produc143150363Tree_a > tree_a ).
thf(t_a_type,type,
t_a: a > tree_a > tree_a > tree_a ).
thf(produc686083979Tree_a_type,type,
produc686083979Tree_a: a > tree_a > produc143150363Tree_a ).
thf(r2_type,type,
r2: tree_a ).
thf(r1_type,type,
r1: tree_a ).
thf(v2_type,type,
v2: a ).
thf(v1_type,type,
v1: a ).
thf(l1_type,type,
l1: tree_a ).
thf(v3_type,type,
v3: a ).
thf(heapIm837449470Leaf_a_type,type,
heapIm837449470Leaf_a: tree_a > produc143150363Tree_a ).
thf(product_fst_a_Tree_a_type,type,
product_fst_a_Tree_a: produc143150363Tree_a > a ).
thf(v_a_type,type,
v_a: a ).
thf(fact_3__092_060open_062t_H_A_061_AT_Av_A_Isnd_A_IremoveLeaf_A_IT_Av1_Al1_Ar1_J_J_J_A_IT_Av2_Al2_Ar2_J_092_060close_062,axiom,
( t_a2
= ( t_a @ v3 @ ( product_snd_a_Tree_a @ ( heapIm837449470Leaf_a @ ( t_a @ v1 @ l1 @ r1 ) ) ) @ ( t_a @ v2 @ l2 @ r2 ) ) ) ).
thf(zip_derived_cl3,plain,
( t_a2
= ( t_a @ v3 @ ( product_snd_a_Tree_a @ ( heapIm837449470Leaf_a @ ( t_a @ v1 @ l1 @ r1 ) ) ) @ ( t_a @ v2 @ l2 @ r2 ) ) ),
inference(cnf,[status(esa)],[fact_3__092_060open_062t_H_A_061_AT_Av_A_Isnd_A_IremoveLeaf_A_IT_Av1_Al1_Ar1_J_J_J_A_IT_Av2_Al2_Ar2_J_092_060close_062]) ).
thf(fact_5_removeLeaf_Osimps_I5_J,axiom,
! [V: a,Vd: a,Ve: tree_a,Vf: tree_a,Va: a,Vb: tree_a,Vc: tree_a] :
( ( heapIm837449470Leaf_a @ ( t_a @ V @ ( t_a @ Vd @ Ve @ Vf ) @ ( t_a @ Va @ Vb @ Vc ) ) )
= ( produc686083979Tree_a @ ( product_fst_a_Tree_a @ ( heapIm837449470Leaf_a @ ( t_a @ Vd @ Ve @ Vf ) ) ) @ ( t_a @ V @ ( product_snd_a_Tree_a @ ( heapIm837449470Leaf_a @ ( t_a @ Vd @ Ve @ Vf ) ) ) @ ( t_a @ Va @ Vb @ Vc ) ) ) ) ).
thf(zip_derived_cl5,plain,
( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: tree_a] :
( !!
@ ^ [Y3: tree_a] :
( !!
@ ^ [Y4: a] :
( !!
@ ^ [Y5: tree_a] :
( !!
@ ^ [Y6: tree_a] :
( ( heapIm837449470Leaf_a @ ( t_a @ Y0 @ ( t_a @ Y1 @ Y2 @ Y3 ) @ ( t_a @ Y4 @ Y5 @ Y6 ) ) )
= ( produc686083979Tree_a @ ( product_fst_a_Tree_a @ ( heapIm837449470Leaf_a @ ( t_a @ Y1 @ Y2 @ Y3 ) ) ) @ ( t_a @ Y0 @ ( product_snd_a_Tree_a @ ( heapIm837449470Leaf_a @ ( t_a @ Y1 @ Y2 @ Y3 ) ) ) @ ( t_a @ Y4 @ Y5 @ Y6 ) ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[fact_5_removeLeaf_Osimps_I5_J]) ).
thf(zip_derived_cl436,plain,
! [X2: a] :
( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: tree_a] :
( !!
@ ^ [Y2: tree_a] :
( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: tree_a] :
( !!
@ ^ [Y5: tree_a] :
( ( heapIm837449470Leaf_a @ ( t_a @ X2 @ ( t_a @ Y0 @ Y1 @ Y2 ) @ ( t_a @ Y3 @ Y4 @ Y5 ) ) )
= ( produc686083979Tree_a @ ( product_fst_a_Tree_a @ ( heapIm837449470Leaf_a @ ( t_a @ Y0 @ Y1 @ Y2 ) ) ) @ ( t_a @ X2 @ ( product_snd_a_Tree_a @ ( heapIm837449470Leaf_a @ ( t_a @ Y0 @ Y1 @ Y2 ) ) ) @ ( t_a @ Y3 @ Y4 @ Y5 ) ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl437,plain,
! [X2: a,X4: a] :
( !!
@ ^ [Y0: tree_a] :
( !!
@ ^ [Y1: tree_a] :
( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: tree_a] :
( !!
@ ^ [Y4: tree_a] :
( ( heapIm837449470Leaf_a @ ( t_a @ X2 @ ( t_a @ X4 @ Y0 @ Y1 ) @ ( t_a @ Y2 @ Y3 @ Y4 ) ) )
= ( produc686083979Tree_a @ ( product_fst_a_Tree_a @ ( heapIm837449470Leaf_a @ ( t_a @ X4 @ Y0 @ Y1 ) ) ) @ ( t_a @ X2 @ ( product_snd_a_Tree_a @ ( heapIm837449470Leaf_a @ ( t_a @ X4 @ Y0 @ Y1 ) ) ) @ ( t_a @ Y2 @ Y3 @ Y4 ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl436]) ).
thf(zip_derived_cl438,plain,
! [X2: a,X4: a,X6: tree_a] :
( !!
@ ^ [Y0: tree_a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: tree_a] :
( !!
@ ^ [Y3: tree_a] :
( ( heapIm837449470Leaf_a @ ( t_a @ X2 @ ( t_a @ X4 @ X6 @ Y0 ) @ ( t_a @ Y1 @ Y2 @ Y3 ) ) )
= ( produc686083979Tree_a @ ( product_fst_a_Tree_a @ ( heapIm837449470Leaf_a @ ( t_a @ X4 @ X6 @ Y0 ) ) ) @ ( t_a @ X2 @ ( product_snd_a_Tree_a @ ( heapIm837449470Leaf_a @ ( t_a @ X4 @ X6 @ Y0 ) ) ) @ ( t_a @ Y1 @ Y2 @ Y3 ) ) ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl437]) ).
thf(zip_derived_cl439,plain,
! [X2: a,X4: a,X6: tree_a,X8: tree_a] :
( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: tree_a] :
( !!
@ ^ [Y2: tree_a] :
( ( heapIm837449470Leaf_a @ ( t_a @ X2 @ ( t_a @ X4 @ X6 @ X8 ) @ ( t_a @ Y0 @ Y1 @ Y2 ) ) )
= ( produc686083979Tree_a @ ( product_fst_a_Tree_a @ ( heapIm837449470Leaf_a @ ( t_a @ X4 @ X6 @ X8 ) ) ) @ ( t_a @ X2 @ ( product_snd_a_Tree_a @ ( heapIm837449470Leaf_a @ ( t_a @ X4 @ X6 @ X8 ) ) ) @ ( t_a @ Y0 @ Y1 @ Y2 ) ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl438]) ).
thf(zip_derived_cl440,plain,
! [X2: a,X4: a,X6: tree_a,X8: tree_a,X10: a] :
( !!
@ ^ [Y0: tree_a] :
( !!
@ ^ [Y1: tree_a] :
( ( heapIm837449470Leaf_a @ ( t_a @ X2 @ ( t_a @ X4 @ X6 @ X8 ) @ ( t_a @ X10 @ Y0 @ Y1 ) ) )
= ( produc686083979Tree_a @ ( product_fst_a_Tree_a @ ( heapIm837449470Leaf_a @ ( t_a @ X4 @ X6 @ X8 ) ) ) @ ( t_a @ X2 @ ( product_snd_a_Tree_a @ ( heapIm837449470Leaf_a @ ( t_a @ X4 @ X6 @ X8 ) ) ) @ ( t_a @ X10 @ Y0 @ Y1 ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl439]) ).
thf(zip_derived_cl441,plain,
! [X2: a,X4: a,X6: tree_a,X8: tree_a,X10: a,X12: tree_a] :
( !!
@ ^ [Y0: tree_a] :
( ( heapIm837449470Leaf_a @ ( t_a @ X2 @ ( t_a @ X4 @ X6 @ X8 ) @ ( t_a @ X10 @ X12 @ Y0 ) ) )
= ( produc686083979Tree_a @ ( product_fst_a_Tree_a @ ( heapIm837449470Leaf_a @ ( t_a @ X4 @ X6 @ X8 ) ) ) @ ( t_a @ X2 @ ( product_snd_a_Tree_a @ ( heapIm837449470Leaf_a @ ( t_a @ X4 @ X6 @ X8 ) ) ) @ ( t_a @ X10 @ X12 @ Y0 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl440]) ).
thf(zip_derived_cl442,plain,
! [X2: a,X4: a,X6: tree_a,X8: tree_a,X10: a,X12: tree_a,X14: tree_a] :
( ( heapIm837449470Leaf_a @ ( t_a @ X2 @ ( t_a @ X4 @ X6 @ X8 ) @ ( t_a @ X10 @ X12 @ X14 ) ) )
= ( produc686083979Tree_a @ ( product_fst_a_Tree_a @ ( heapIm837449470Leaf_a @ ( t_a @ X4 @ X6 @ X8 ) ) ) @ ( t_a @ X2 @ ( product_snd_a_Tree_a @ ( heapIm837449470Leaf_a @ ( t_a @ X4 @ X6 @ X8 ) ) ) @ ( t_a @ X10 @ X12 @ X14 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl441]) ).
thf(zip_derived_cl443,plain,
! [X2: a,X4: a,X6: tree_a,X8: tree_a,X10: a,X12: tree_a,X14: tree_a] :
( ( heapIm837449470Leaf_a @ ( t_a @ X2 @ ( t_a @ X4 @ X6 @ X8 ) @ ( t_a @ X10 @ X12 @ X14 ) ) )
= ( produc686083979Tree_a @ ( product_fst_a_Tree_a @ ( heapIm837449470Leaf_a @ ( t_a @ X4 @ X6 @ X8 ) ) ) @ ( t_a @ X2 @ ( product_snd_a_Tree_a @ ( heapIm837449470Leaf_a @ ( t_a @ X4 @ X6 @ X8 ) ) ) @ ( t_a @ X10 @ X12 @ X14 ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl442]) ).
thf(zip_derived_cl449,plain,
( ( heapIm837449470Leaf_a @ ( t_a @ v3 @ ( t_a @ v1 @ l1 @ r1 ) @ ( t_a @ v2 @ l2 @ r2 ) ) )
= ( produc686083979Tree_a @ ( product_fst_a_Tree_a @ ( heapIm837449470Leaf_a @ ( t_a @ v1 @ l1 @ r1 ) ) ) @ t_a2 ) ),
inference('sup+',[status(thm)],[zip_derived_cl3,zip_derived_cl443]) ).
thf(fact_0__C4__2_Oprems_C_I1_J,axiom,
( ( produc686083979Tree_a @ v_a @ t_a2 )
= ( heapIm837449470Leaf_a @ ( t_a @ v3 @ ( t_a @ v1 @ l1 @ r1 ) @ ( t_a @ v2 @ l2 @ r2 ) ) ) ) ).
thf(zip_derived_cl0,plain,
( ( produc686083979Tree_a @ v_a @ t_a2 )
= ( heapIm837449470Leaf_a @ ( t_a @ v3 @ ( t_a @ v1 @ l1 @ r1 ) @ ( t_a @ v2 @ l2 @ r2 ) ) ) ),
inference(cnf,[status(esa)],[fact_0__C4__2_Oprems_C_I1_J]) ).
thf(zip_derived_cl461,plain,
( ( produc686083979Tree_a @ v_a @ t_a2 )
= ( produc686083979Tree_a @ ( product_fst_a_Tree_a @ ( heapIm837449470Leaf_a @ ( t_a @ v1 @ l1 @ r1 ) ) ) @ t_a2 ) ),
inference(demod,[status(thm)],[zip_derived_cl449,zip_derived_cl0]) ).
thf(fact_22_fst__conv,axiom,
! [X1: a,X2: tree_a] :
( ( product_fst_a_Tree_a @ ( produc686083979Tree_a @ X1 @ X2 ) )
= X1 ) ).
thf(zip_derived_cl22,plain,
( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: tree_a] :
( ( product_fst_a_Tree_a @ ( produc686083979Tree_a @ Y0 @ Y1 ) )
= Y0 ) ) ),
inference(cnf,[status(esa)],[fact_22_fst__conv]) ).
thf(zip_derived_cl823,plain,
! [X2: a] :
( !!
@ ^ [Y0: tree_a] :
( ( product_fst_a_Tree_a @ ( produc686083979Tree_a @ X2 @ Y0 ) )
= X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl22]) ).
thf(zip_derived_cl824,plain,
! [X2: a,X4: tree_a] :
( ( product_fst_a_Tree_a @ ( produc686083979Tree_a @ X2 @ X4 ) )
= X2 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl823]) ).
thf(zip_derived_cl825,plain,
! [X2: a,X4: tree_a] :
( ( product_fst_a_Tree_a @ ( produc686083979Tree_a @ X2 @ X4 ) )
= X2 ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl824]) ).
thf(zip_derived_cl830,plain,
( ( product_fst_a_Tree_a @ ( produc686083979Tree_a @ v_a @ t_a2 ) )
= ( product_fst_a_Tree_a @ ( heapIm837449470Leaf_a @ ( t_a @ v1 @ l1 @ r1 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl461,zip_derived_cl825]) ).
thf(zip_derived_cl825_001,plain,
! [X2: a,X4: tree_a] :
( ( product_fst_a_Tree_a @ ( produc686083979Tree_a @ X2 @ X4 ) )
= X2 ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl824]) ).
thf(zip_derived_cl842,plain,
( v_a
= ( product_fst_a_Tree_a @ ( heapIm837449470Leaf_a @ ( t_a @ v1 @ l1 @ r1 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl830,zip_derived_cl825]) ).
thf(conj_0,conjecture,
( v_a
= ( product_fst_a_Tree_a @ ( heapIm837449470Leaf_a @ ( t_a @ v1 @ l1 @ r1 ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
( v_a
!= ( product_fst_a_Tree_a @ ( heapIm837449470Leaf_a @ ( t_a @ v1 @ l1 @ r1 ) ) ) ),
inference('cnf.neg',[status(esa)],[conj_0]) ).
thf(zip_derived_cl356,plain,
( v_a
!= ( product_fst_a_Tree_a @ ( heapIm837449470Leaf_a @ ( t_a @ v1 @ l1 @ r1 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl843,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl842,zip_derived_cl356]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.22 % Problem : ITP066^1 : TPTP v9.2.0. Released v7.5.0.
% 0.03/0.23 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.iLX0HU9akw true
% 0.08/0.45 % Computer : n015.cluster.edu
% 0.08/0.45 % Model : x86_64 x86_64
% 0.08/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.45 % Memory : 8042.1875MB
% 0.08/0.45 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.45 % CPULimit : 300
% 0.08/0.45 % WCLimit : 300
% 0.08/0.45 % DateTime : Wed Oct 1 15:29:53 EDT 2025
% 0.08/0.45 % CPUTime :
% 0.08/0.45 % Running portfolio for 300 s
% 0.08/0.45 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.45 % Number of cores: 8
% 0.08/0.47 % Python version: Python 3.6.8
% 0.08/0.48 % Running in HO mode
% 0.28/0.69 % Total configuration time : 828
% 0.28/0.69 % Estimated wc time : 1656
% 0.28/0.69 % Estimated cpu time (8 cpus) : 207.0
% 0.33/0.78 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.34/0.94 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.34/1.04 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.34/1.05 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.34/1.06 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.34/1.06 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.34/1.06 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.34/1.07 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 1.59/1.27 % Solved by lams/35_full_unif4.sh.
% 1.59/1.27 % done 135 iterations in 0.186s
% 1.59/1.27 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.59/1.27 % SZS output start Refutation
% See solution above
% 1.59/1.27
% 1.59/1.27
% 1.59/1.27 % Terminating...
% 2.19/1.45 % Runner terminated.
% 2.19/1.47 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------