%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ITP045^1 : TPTP v9.2.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.4BdFL1o7Sj true
% Computer : n016.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 04:38:39 PM UTC 2025
% Result : Theorem 66.11s 8.92s
% Output : Refutation 66.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 8
% Syntax : Number of formulae : 17 ( 15 unt; 0 typ; 0 def)
% Number of atoms : 19 ( 16 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 312 ( 8 ~; 1 |; 0 &; 302 @)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Number of types : 11 ( 10 usr)
% Number of type conns : 2 ( 2 >; 0 *; 0 +; 0 <<)
% Number of symbols : 25 ( 23 usr; 8 con; 0-4 aty)
% Number of variables : 20 ( 8 ^; 12 !; 0 ?; 20 :)
% Comments :
%------------------------------------------------------------------------------
thf(r_type,type,
r: $tType ).
thf(option1457017436_r_l_v_type,type,
option1457017436_r_l_v: $tType ).
thf(produc1156025366_r_l_v_type,type,
produc1156025366_r_l_v: $tType ).
thf(produc1164766533_r_l_v_type,type,
produc1164766533_r_l_v: $tType ).
thf(expr_r_l_v_type,type,
expr_r_l_v: $tType ).
thf(cntxt_r_l_v_type,type,
cntxt_r_l_v: $tType ).
thf(val_r_l_v_type,type,
val_r_l_v: $tType ).
thf(option_val_r_l_v_type,type,
option_val_r_l_v: $tType ).
thf(l_type,type,
l: $tType ).
thf('#l_lift4333_type',type,
'#l_lift4333': l > option_val_r_l_v ).
thf(v_type,type,
v: $tType ).
thf(r2_type,type,
r2: r ).
thf(fun_up709272714_r_l_v_type,type,
fun_up709272714_r_l_v: ( r > option1457017436_r_l_v ) > r > option1457017436_r_l_v > r > option1457017436_r_l_v ).
thf(s_1_type,type,
s_1: r > option1457017436_r_l_v ).
thf(tau_type,type,
tau: l > option_val_r_l_v ).
thf(rid_r_l_v_type,type,
rid_r_l_v: r > val_r_l_v ).
thf(s_22_type,type,
s_22: r > option1457017436_r_l_v ).
thf(produc297528454_r_l_v_type,type,
produc297528454_r_l_v: ( l > option_val_r_l_v ) > produc1164766533_r_l_v > produc1156025366_r_l_v ).
thf(x_type,type,
x: produc1156025366_r_l_v ).
thf(e_type,type,
e: cntxt_r_l_v ).
thf(sigma_type,type,
sigma: l > option_val_r_l_v ).
thf(some_P1807977723_r_l_v_type,type,
some_P1807977723_r_l_v: produc1156025366_r_l_v > option1457017436_r_l_v ).
thf(subst_type,type,
subst: expr_r_l_v > v > expr_r_l_v > expr_r_l_v ).
thf(r4_type,type,
r4: r ).
thf(produc1834103605_r_l_v_type,type,
produc1834103605_r_l_v: ( l > option_val_r_l_v ) > expr_r_l_v > produc1164766533_r_l_v ).
thf(combine_l_val_r_l_v_type,type,
combine_l_val_r_l_v: ( l > option_val_r_l_v ) > ( l > option_val_r_l_v ) > l > option_val_r_l_v ).
thf(none_val_r_l_v_type,type,
none_val_r_l_v: option_val_r_l_v ).
thf(vE_r_l_v_type,type,
vE_r_l_v: val_r_l_v > expr_r_l_v ).
thf(plug_r_l_v_type,type,
plug_r_l_v: cntxt_r_l_v > expr_r_l_v > expr_r_l_v ).
thf(revision_step_r_l_v_type,type,
revision_step_r_l_v: ( expr_r_l_v > v > expr_r_l_v > expr_r_l_v ) > r > ( r > option1457017436_r_l_v ) > ( r > option1457017436_r_l_v ) > $o ).
thf(s_2_type,type,
s_2: r > option1457017436_r_l_v ).
thf(e2_type,type,
e2: expr_r_l_v ).
thf(r3_type,type,
r3: r ).
thf(fact_2_assms_I6_J,axiom,
r2 != r3 ).
thf(zip_derived_cl1,plain,
r2 != r3,
inference(cnf,[status(esa)],[fact_2_assms_I6_J]) ).
thf(fact_1_assms_I7_J,axiom,
r2 != r4 ).
thf(zip_derived_cl0,plain,
r2 != r4,
inference(cnf,[status(esa)],[fact_1_assms_I7_J]) ).
thf(fact_40_fun__upd__twist,axiom,
! [A: r,C: r,M: r > option1457017436_r_l_v,B: option1457017436_r_l_v,D: option1457017436_r_l_v] :
( ( A != C )
=> ( ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ M @ A @ B ) @ C @ D )
= ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ M @ C @ D ) @ A @ B ) ) ) ).
thf(zip_derived_cl21,plain,
! [X0: r,X1: r,X2: r > option1457017436_r_l_v,X3: option1457017436_r_l_v,X4: option1457017436_r_l_v] :
( ( X1 = X0 )
| ( ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ X2 @ X1 @ X4 ) @ X0 @ X3 )
= ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ X2 @ X0 @ X3 ) @ X1 @ X4 ) ) ),
inference(cnf,[status(esa)],[fact_40_fun__upd__twist]) ).
thf(fact_3_assms_I1_J,axiom,
( s_2
= ( fun_up709272714_r_l_v @ s_1 @ r2 @ ( some_P1807977723_r_l_v @ x ) ) ) ).
thf(zip_derived_cl2,plain,
( s_2
= ( fun_up709272714_r_l_v @ s_1 @ r2 @ ( some_P1807977723_r_l_v @ x ) ) ),
inference(cnf,[status(esa)],[fact_3_assms_I1_J]) ).
thf(conj_0,conjecture,
( ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ s_1 @ r2 @ ( some_P1807977723_r_l_v @ x ) ) @ r3 @ ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ sigma @ ( produc1834103605_r_l_v @ tau @ ( plug_r_l_v @ e @ ( vE_r_l_v @ ( rid_r_l_v @ r4 ) ) ) ) ) ) ) @ r4
@ ( some_P1807977723_r_l_v
@ ( produc297528454_r_l_v @ ( combine_l_val_r_l_v @ sigma @ tau )
@ ( produc1834103605_r_l_v
@ ^ [X: l] : none_val_r_l_v
@ e2 ) ) ) )
= ( fun_up709272714_r_l_v
@ ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ s_1 @ r3 @ ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ sigma @ ( produc1834103605_r_l_v @ tau @ ( plug_r_l_v @ e @ ( vE_r_l_v @ ( rid_r_l_v @ r4 ) ) ) ) ) ) ) @ r4
@ ( some_P1807977723_r_l_v
@ ( produc297528454_r_l_v @ ( combine_l_val_r_l_v @ sigma @ tau )
@ ( produc1834103605_r_l_v
@ ^ [X: l] : none_val_r_l_v
@ e2 ) ) ) )
@ r2
@ ( some_P1807977723_r_l_v @ x ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
( ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ s_1 @ r2 @ ( some_P1807977723_r_l_v @ x ) ) @ r3 @ ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ sigma @ ( produc1834103605_r_l_v @ tau @ ( plug_r_l_v @ e @ ( vE_r_l_v @ ( rid_r_l_v @ r4 ) ) ) ) ) ) ) @ r4
@ ( some_P1807977723_r_l_v
@ ( produc297528454_r_l_v @ ( combine_l_val_r_l_v @ sigma @ tau )
@ ( produc1834103605_r_l_v
@ ^ [X: l] : none_val_r_l_v
@ e2 ) ) ) )
!= ( fun_up709272714_r_l_v
@ ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ s_1 @ r3 @ ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ sigma @ ( produc1834103605_r_l_v @ tau @ ( plug_r_l_v @ e @ ( vE_r_l_v @ ( rid_r_l_v @ r4 ) ) ) ) ) ) ) @ r4
@ ( some_P1807977723_r_l_v
@ ( produc297528454_r_l_v @ ( combine_l_val_r_l_v @ sigma @ tau )
@ ( produc1834103605_r_l_v
@ ^ [X: l] : none_val_r_l_v
@ e2 ) ) ) )
@ r2
@ ( some_P1807977723_r_l_v @ x ) ) ),
inference('cnf.neg',[status(esa)],[conj_0]) ).
thf(zip_derived_cl76,plain,
( ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ s_1 @ r2 @ ( some_P1807977723_r_l_v @ x ) ) @ r3 @ ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ sigma @ ( produc1834103605_r_l_v @ tau @ ( plug_r_l_v @ e @ ( vE_r_l_v @ ( rid_r_l_v @ r4 ) ) ) ) ) ) ) @ r4
@ ( some_P1807977723_r_l_v
@ ( produc297528454_r_l_v @ ( combine_l_val_r_l_v @ sigma @ tau )
@ ( produc1834103605_r_l_v
@ ^ [Y0: l] : none_val_r_l_v
@ e2 ) ) ) )
!= ( fun_up709272714_r_l_v
@ ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ s_1 @ r3 @ ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ sigma @ ( produc1834103605_r_l_v @ tau @ ( plug_r_l_v @ e @ ( vE_r_l_v @ ( rid_r_l_v @ r4 ) ) ) ) ) ) ) @ r4
@ ( some_P1807977723_r_l_v
@ ( produc297528454_r_l_v @ ( combine_l_val_r_l_v @ sigma @ tau )
@ ( produc1834103605_r_l_v
@ ^ [Y0: l] : none_val_r_l_v
@ e2 ) ) ) )
@ r2
@ ( some_P1807977723_r_l_v @ x ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(fact_7_assms_I5_J,axiom,
( revision_step_r_l_v @ subst @ r2 @ s_22
@ ( fun_up709272714_r_l_v
@ ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ s_1 @ r3 @ ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ sigma @ ( produc1834103605_r_l_v @ tau @ ( plug_r_l_v @ e @ ( vE_r_l_v @ ( rid_r_l_v @ r4 ) ) ) ) ) ) ) @ r4
@ ( some_P1807977723_r_l_v
@ ( produc297528454_r_l_v @ ( combine_l_val_r_l_v @ sigma @ tau )
@ ( produc1834103605_r_l_v
@ ^ [X: l] : none_val_r_l_v
@ e2 ) ) ) )
@ r2
@ ( some_P1807977723_r_l_v @ x ) ) ) ).
thf(zip_derived_cl4,plain,
( revision_step_r_l_v @ subst @ r2 @ s_22
@ ( fun_up709272714_r_l_v
@ ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ s_1 @ r3 @ ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ sigma @ ( produc1834103605_r_l_v @ tau @ ( plug_r_l_v @ e @ ( vE_r_l_v @ ( rid_r_l_v @ r4 ) ) ) ) ) ) ) @ r4
@ ( some_P1807977723_r_l_v
@ ( produc297528454_r_l_v @ ( combine_l_val_r_l_v @ sigma @ tau )
@ ( produc1834103605_r_l_v
@ ^ [Y0: l] : none_val_r_l_v
@ e2 ) ) ) )
@ r2
@ ( some_P1807977723_r_l_v @ x ) ) ),
inference(cnf,[status(esa)],[fact_7_assms_I5_J]) ).
thf(zip_derived_cl6692,plain,
! [X1: l] :
( ( '#l_lift4333' @ X1 )
= none_val_r_l_v ),
define([status(thm)]) ).
thf(zip_derived_cl6692_001,plain,
! [X1: l] :
( ( '#l_lift4333' @ X1 )
= none_val_r_l_v ),
define([status(thm)]) ).
thf(zip_derived_cl6694,plain,
( ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ s_1 @ r2 @ ( some_P1807977723_r_l_v @ x ) ) @ r3 @ ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ sigma @ ( produc1834103605_r_l_v @ tau @ ( plug_r_l_v @ e @ ( vE_r_l_v @ ( rid_r_l_v @ r4 ) ) ) ) ) ) ) @ r4 @ ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ ( combine_l_val_r_l_v @ sigma @ tau ) @ ( produc1834103605_r_l_v @ '#l_lift4333' @ e2 ) ) ) )
!= ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ s_1 @ r3 @ ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ sigma @ ( produc1834103605_r_l_v @ tau @ ( plug_r_l_v @ e @ ( vE_r_l_v @ ( rid_r_l_v @ r4 ) ) ) ) ) ) ) @ r4 @ ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ ( combine_l_val_r_l_v @ sigma @ tau ) @ ( produc1834103605_r_l_v @ '#l_lift4333' @ e2 ) ) ) ) @ r2 @ ( some_P1807977723_r_l_v @ x ) ) ),
inference(lambda_lifting,[status(thm)],[zip_derived_cl76,zip_derived_cl6692,zip_derived_cl6692]) ).
thf(zip_derived_cl6725,plain,
$false,
inference(eprover,[status(thm)],[zip_derived_cl1,zip_derived_cl0,zip_derived_cl21,zip_derived_cl2,zip_derived_cl6694]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.11 % Problem : ITP045^1 : TPTP v9.2.0. Released v7.5.0.
% 0.04/0.12 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.4BdFL1o7Sj true
% 0.12/0.32 % Computer : n016.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Oct 1 15:32:08 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % Running portfolio for 300 s
% 0.12/0.33 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Number of cores: 8
% 0.12/0.33 % Python version: Python 3.6.8
% 0.12/0.33 % Running in HO mode
% 0.49/0.64 % Total configuration time : 828
% 0.49/0.64 % Estimated wc time : 1656
% 0.49/0.64 % Estimated cpu time (8 cpus) : 207.0
% 0.50/0.71 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.50/0.71 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.50/0.72 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.50/0.72 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.50/0.72 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.50/0.73 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.50/0.73 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.50/0.73 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.51/0.81 % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 66.11/8.92 % Solved by lams/40_c_ic.sh.
% 66.11/8.92 % done 184 iterations in 8.162s
% 66.11/8.92 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 66.11/8.92 % SZS output start Refutation
% See solution above
% 66.11/8.92
% 66.11/8.92
% 66.11/8.92 % Terminating...
% 66.11/8.97 % Runner terminated.
% 66.11/8.99 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------