%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SEU385+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 02:24:56 PM UTC 2026
% Result : Theorem 1.86s 0.78s
% Output : CNFRefutation 1.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 15
% Syntax : Number of formulae : 101 ( 35 unt; 0 def)
% Number of atoms : 530 ( 72 equ)
% Maximal formula atoms : 110 ( 5 avg)
% Number of connectives : 673 ( 244 ~; 266 |; 108 &)
% ( 5 <=>; 50 =>; 0 <=; 0 <~>)
% Maximal formula depth : 30 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 1 prp; 0-3 aty)
% Number of functors : 18 ( 18 usr; 5 con; 0-5 aty)
% Number of variables : 175 ( 0 sgn 115 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t16_waybel_9,conjecture,
! [X1] :
( ( one_sorted_str(X1)
& ~ empty_carrier(X1) )
=> ! [X2] :
( ( net_str(X2,X1)
& directed_relstr(X2)
& ~ empty_carrier(X2) )
=> ! [X3] :
( element(X3,the_carrier(X2))
=> ! [X4] :
( element(X4,the_carrier(X2))
=> ! [X5] :
( element(X5,the_carrier(netstr_restr_to_element(X1,X2,X3)))
=> ( X4 = X5
=> apply_netmap(X1,X2,X4) = apply_netmap(X1,netstr_restr_to_element(X1,X2,X3),X5) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t16_waybel_9) ).
fof(dt_k5_waybel_9,axiom,
! [X1,X2,X3] :
( ( element(X3,the_carrier(X2))
& net_str(X2,X1)
& ~ empty_carrier(X2)
& one_sorted_str(X1)
& ~ empty_carrier(X1) )
=> ( net_str(netstr_restr_to_element(X1,X2,X3),X1)
& strict_net_str(netstr_restr_to_element(X1,X2,X3),X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k5_waybel_9) ).
fof(fc22_waybel_9,axiom,
! [X1,X2,X3] :
( ( element(X3,the_carrier(X2))
& net_str(X2,X1)
& directed_relstr(X2)
& ~ empty_carrier(X2)
& one_sorted_str(X1)
& ~ empty_carrier(X1) )
=> ( strict_net_str(netstr_restr_to_element(X1,X2,X3),X1)
& ~ empty_carrier(netstr_restr_to_element(X1,X2,X3)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc22_waybel_9) ).
fof(d7_waybel_9,axiom,
! [X1] :
( ( one_sorted_str(X1)
& ~ empty_carrier(X1) )
=> ! [X2] :
( ( net_str(X2,X1)
& ~ empty_carrier(X2) )
=> ! [X3] :
( element(X3,the_carrier(X2))
=> ! [X4] :
( ( net_str(X4,X1)
& strict_net_str(X4,X1) )
=> ( X4 = netstr_restr_to_element(X1,X2,X3)
<=> ( the_mapping(X1,X4) = partfun_dom_restriction(the_carrier(X2),the_carrier(X1),the_mapping(X1,X2),the_carrier(X4))
& the_InternalRel(X4) = relation_restriction_as_relation_of(the_InternalRel(X2),the_carrier(X4))
& ! [X5] :
( in(X5,the_carrier(X4))
<=> ? [X6] :
( related(X2,X3,X6)
& X6 = X5
& element(X6,the_carrier(X2)) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d7_waybel_9) ).
fof(dt_u1_waybel_0,axiom,
! [X1,X2] :
( ( net_str(X2,X1)
& one_sorted_str(X1) )
=> ( relation_of2_as_subset(the_mapping(X1,X2),the_carrier(X2),the_carrier(X1))
& quasi_total(the_mapping(X1,X2),the_carrier(X2),the_carrier(X1))
& function(the_mapping(X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_u1_waybel_0) ).
fof(dt_l1_waybel_0,axiom,
! [X1] :
( one_sorted_str(X1)
=> ! [X2] :
( net_str(X2,X1)
=> rel_str(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_waybel_0) ).
fof(d8_waybel_0,axiom,
! [X1] :
( ( one_sorted_str(X1)
& ~ empty_carrier(X1) )
=> ! [X2] :
( ( net_str(X2,X1)
& ~ empty_carrier(X2) )
=> ! [X3] :
( element(X3,the_carrier(X2))
=> apply_netmap(X1,X2,X3) = apply_on_structs(X2,X1,the_mapping(X1,X2),X3) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d8_waybel_0) ).
fof(redefinition_m2_relset_1,axiom,
! [X1,X2,X3] :
( relation_of2_as_subset(X3,X1,X2)
<=> relation_of2(X3,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(redefinition_k1_waybel_0,axiom,
! [X1,X2,X3,X4] :
( ( element(X4,the_carrier(X1))
& relation_of2(X3,the_carrier(X1),the_carrier(X2))
& quasi_total(X3,the_carrier(X1),the_carrier(X2))
& function(X3)
& one_sorted_str(X2)
& ~ empty_carrier(X2)
& one_sorted_str(X1)
& ~ empty_carrier(X1) )
=> apply_on_structs(X1,X2,X3,X4) = apply(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k1_waybel_0) ).
fof(dt_l1_orders_2,axiom,
! [X1] :
( rel_str(X1)
=> one_sorted_str(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_orders_2) ).
fof(t2_subset,axiom,
! [X1,X2] :
( element(X1,X2)
=> ( in(X1,X2)
| empty(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).
fof(redefinition_k2_partfun1,axiom,
! [X1,X2,X3,X4] :
( ( relation_of2(X3,X1,X2)
& function(X3) )
=> partfun_dom_restriction(X1,X2,X3,X4) = relation_dom_restriction(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k2_partfun1) ).
fof(fc15_yellow_6,axiom,
! [X1,X2] :
( ( net_str(X2,X1)
& ~ empty_carrier(X2)
& one_sorted_str(X1)
& ~ empty_carrier(X1) )
=> ( quasi_total(the_mapping(X1,X2),the_carrier(X2),the_carrier(X1))
& function(the_mapping(X1,X2))
& relation(the_mapping(X1,X2))
& ~ empty(the_mapping(X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc15_yellow_6) ).
fof(t72_funct_1,axiom,
! [X1,X2,X3] :
( ( function(X3)
& relation(X3) )
=> ( in(X2,X1)
=> apply(relation_dom_restriction(X3,X1),X2) = apply(X3,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t72_funct_1) ).
fof(fc1_struct_0,axiom,
! [X1] :
( ( one_sorted_str(X1)
& ~ empty_carrier(X1) )
=> ~ empty(the_carrier(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(c_0_15,negated_conjecture,
~ ! [X1] :
( ( one_sorted_str(X1)
& ~ empty_carrier(X1) )
=> ! [X2] :
( ( net_str(X2,X1)
& directed_relstr(X2)
& ~ empty_carrier(X2) )
=> ! [X3] :
( element(X3,the_carrier(X2))
=> ! [X4] :
( element(X4,the_carrier(X2))
=> ! [X5] :
( element(X5,the_carrier(netstr_restr_to_element(X1,X2,X3)))
=> ( X4 = X5
=> apply_netmap(X1,X2,X4) = apply_netmap(X1,netstr_restr_to_element(X1,X2,X3),X5) ) ) ) ) ) ),
inference(assume_negation,[status(cth)],[t16_waybel_9]) ).
fof(c_0_16,plain,
! [X1,X2,X3] :
( ( element(X3,the_carrier(X2))
& net_str(X2,X1)
& ~ empty_carrier(X2)
& one_sorted_str(X1)
& ~ empty_carrier(X1) )
=> ( net_str(netstr_restr_to_element(X1,X2,X3),X1)
& strict_net_str(netstr_restr_to_element(X1,X2,X3),X1) ) ),
inference(fof_simplification,[status(thm)],[dt_k5_waybel_9]) ).
fof(c_0_17,negated_conjecture,
~ ! [X1] :
( ( one_sorted_str(X1)
& ~ empty_carrier(X1) )
=> ! [X2] :
( ( net_str(X2,X1)
& directed_relstr(X2)
& ~ empty_carrier(X2) )
=> ! [X3] :
( element(X3,the_carrier(X2))
=> ! [X4] :
( element(X4,the_carrier(X2))
=> ! [X5] :
( element(X5,the_carrier(netstr_restr_to_element(X1,X2,X3)))
=> ( X4 = X5
=> apply_netmap(X1,X2,X4) = apply_netmap(X1,netstr_restr_to_element(X1,X2,X3),X5) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_15]) ).
fof(c_0_18,plain,
! [X65,X66,X67] :
( ( ~ element(X67,the_carrier(X66))
| ~ net_str(X66,X65)
| empty_carrier(X66)
| ~ one_sorted_str(X65)
| empty_carrier(X65)
| net_str(netstr_restr_to_element(X65,X66,X67),X65) )
& ( ~ element(X67,the_carrier(X66))
| ~ net_str(X66,X65)
| empty_carrier(X66)
| ~ one_sorted_str(X65)
| empty_carrier(X65)
| strict_net_str(netstr_restr_to_element(X65,X66,X67),X65) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])])]) ).
fof(c_0_19,negated_conjecture,
( apply_netmap(esk22_0,esk23_0,esk25_0) != apply_netmap(esk22_0,netstr_restr_to_element(esk22_0,esk23_0,esk24_0),esk26_0)
& esk25_0 = esk26_0
& element(esk26_0,the_carrier(netstr_restr_to_element(esk22_0,esk23_0,esk24_0)))
& element(esk25_0,the_carrier(esk23_0))
& element(esk24_0,the_carrier(esk23_0))
& net_str(esk23_0,esk22_0)
& directed_relstr(esk23_0)
& ~ empty_carrier(esk23_0)
& one_sorted_str(esk22_0)
& ~ empty_carrier(esk22_0) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])])]) ).
fof(c_0_20,plain,
! [X1,X2,X3] :
( ( element(X3,the_carrier(X2))
& net_str(X2,X1)
& directed_relstr(X2)
& ~ empty_carrier(X2)
& one_sorted_str(X1)
& ~ empty_carrier(X1) )
=> ( strict_net_str(netstr_restr_to_element(X1,X2,X3),X1)
& ~ empty_carrier(netstr_restr_to_element(X1,X2,X3)) ) ),
inference(fof_simplification,[status(thm)],[fc22_waybel_9]) ).
cnf(c_0_21,plain,
( ~ element(X3,the_carrier(X2))
| ~ net_str(X2,X1)
| ~ one_sorted_str(X1)
| empty_carrier(X2)
| empty_carrier(X1)
| net_str(netstr_restr_to_element(X1,X2,X3),X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_22,negated_conjecture,
element(esk24_0,the_carrier(esk23_0)),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_23,negated_conjecture,
~ empty_carrier(esk23_0),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
fof(c_0_24,plain,
! [X101,X102,X103] :
( ( ~ element(X103,the_carrier(X102))
| ~ net_str(X102,X101)
| ~ directed_relstr(X102)
| empty_carrier(X102)
| ~ one_sorted_str(X101)
| empty_carrier(X101)
| strict_net_str(netstr_restr_to_element(X101,X102,X103),X101) )
& ( ~ element(X103,the_carrier(X102))
| ~ net_str(X102,X101)
| ~ directed_relstr(X102)
| empty_carrier(X102)
| ~ one_sorted_str(X101)
| empty_carrier(X101)
| ~ empty_carrier(netstr_restr_to_element(X101,X102,X103)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])])])]) ).
fof(c_0_25,plain,
! [X1] :
( ( one_sorted_str(X1)
& ~ empty_carrier(X1) )
=> ! [X2] :
( ( net_str(X2,X1)
& ~ empty_carrier(X2) )
=> ! [X3] :
( element(X3,the_carrier(X2))
=> ! [X4] :
( ( net_str(X4,X1)
& strict_net_str(X4,X1) )
=> ( X4 = netstr_restr_to_element(X1,X2,X3)
<=> ( the_mapping(X1,X4) = partfun_dom_restriction(the_carrier(X2),the_carrier(X1),the_mapping(X1,X2),the_carrier(X4))
& the_InternalRel(X4) = relation_restriction_as_relation_of(the_InternalRel(X2),the_carrier(X4))
& ! [X5] :
( in(X5,the_carrier(X4))
<=> ? [X6] :
( related(X2,X3,X6)
& X6 = X5
& element(X6,the_carrier(X2)) ) ) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[d7_waybel_9]) ).
fof(c_0_26,plain,
! [X81,X82] :
( ( ~ net_str(X82,X81)
| ~ one_sorted_str(X81)
| relation_of2_as_subset(the_mapping(X81,X82),the_carrier(X82),the_carrier(X81)) )
& ( ~ net_str(X82,X81)
| ~ one_sorted_str(X81)
| quasi_total(the_mapping(X81,X82),the_carrier(X82),the_carrier(X81)) )
& ( ~ net_str(X82,X81)
| ~ one_sorted_str(X81)
| function(the_mapping(X81,X82)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_u1_waybel_0])])])]) ).
fof(c_0_27,plain,
! [X75,X76] :
( rel_str(X76)
| ~ net_str(X76,X75)
| ~ one_sorted_str(X75) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_waybel_0])])])]) ).
cnf(c_0_28,negated_conjecture,
( ~ one_sorted_str(X1)
| ~ net_str(esk23_0,X1)
| net_str(netstr_restr_to_element(X1,esk23_0,esk24_0),X1)
| empty_carrier(X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23]) ).
cnf(c_0_29,negated_conjecture,
net_str(esk23_0,esk22_0),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_30,negated_conjecture,
one_sorted_str(esk22_0),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_31,negated_conjecture,
~ empty_carrier(esk22_0),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
fof(c_0_32,plain,
! [X1] :
( ( one_sorted_str(X1)
& ~ empty_carrier(X1) )
=> ! [X2] :
( ( net_str(X2,X1)
& ~ empty_carrier(X2) )
=> ! [X3] :
( element(X3,the_carrier(X2))
=> apply_netmap(X1,X2,X3) = apply_on_structs(X2,X1,the_mapping(X1,X2),X3) ) ) ),
inference(fof_simplification,[status(thm)],[d8_waybel_0]) ).
cnf(c_0_33,plain,
( ~ element(X3,the_carrier(X2))
| ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ one_sorted_str(X1)
| ~ empty_carrier(netstr_restr_to_element(X1,X2,X3))
| empty_carrier(X2)
| empty_carrier(X1) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_34,negated_conjecture,
directed_relstr(esk23_0),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
fof(c_0_35,plain,
! [X32,X33,X34,X35,X36,X38,X39,X41] :
( ( ~ one_sorted_str(X32)
| empty_carrier(X32)
| ~ net_str(X33,X32)
| empty_carrier(X33)
| ~ element(X34,the_carrier(X33))
| ~ net_str(X35,X32)
| ~ strict_net_str(X35,X32)
| X35 = netstr_restr_to_element(X32,X33,X34)
| the_mapping(X32,X35) != partfun_dom_restriction(the_carrier(X33),the_carrier(X32),the_mapping(X32,X33),the_carrier(X35))
| the_InternalRel(X35) != relation_restriction_as_relation_of(the_InternalRel(X33),the_carrier(X35))
| in(esk2_4(X32,X33,X34,X35),the_carrier(X35))
| related(X33,X34,esk3_4(X32,X33,X34,X35)) )
& ( ~ one_sorted_str(X32)
| empty_carrier(X32)
| ~ net_str(X33,X32)
| empty_carrier(X33)
| ~ element(X34,the_carrier(X33))
| ~ net_str(X35,X32)
| ~ strict_net_str(X35,X32)
| X35 = netstr_restr_to_element(X32,X33,X34)
| the_mapping(X32,X35) != partfun_dom_restriction(the_carrier(X33),the_carrier(X32),the_mapping(X32,X33),the_carrier(X35))
| the_InternalRel(X35) != relation_restriction_as_relation_of(the_InternalRel(X33),the_carrier(X35))
| in(esk2_4(X32,X33,X34,X35),the_carrier(X35))
| esk3_4(X32,X33,X34,X35) = esk2_4(X32,X33,X34,X35) )
& ( ~ one_sorted_str(X32)
| empty_carrier(X32)
| ~ net_str(X33,X32)
| empty_carrier(X33)
| ~ element(X34,the_carrier(X33))
| ~ net_str(X35,X32)
| ~ strict_net_str(X35,X32)
| X35 = netstr_restr_to_element(X32,X33,X34)
| the_mapping(X32,X35) != partfun_dom_restriction(the_carrier(X33),the_carrier(X32),the_mapping(X32,X33),the_carrier(X35))
| the_InternalRel(X35) != relation_restriction_as_relation_of(the_InternalRel(X33),the_carrier(X35))
| in(esk2_4(X32,X33,X34,X35),the_carrier(X35))
| element(esk3_4(X32,X33,X34,X35),the_carrier(X33)) )
& ( ~ one_sorted_str(X32)
| empty_carrier(X32)
| ~ net_str(X33,X32)
| empty_carrier(X33)
| ~ element(X34,the_carrier(X33))
| ~ net_str(X35,X32)
| ~ strict_net_str(X35,X32)
| X35 = netstr_restr_to_element(X32,X33,X34)
| the_mapping(X32,X35) != partfun_dom_restriction(the_carrier(X33),the_carrier(X32),the_mapping(X32,X33),the_carrier(X35))
| the_InternalRel(X35) != relation_restriction_as_relation_of(the_InternalRel(X33),the_carrier(X35))
| ~ related(X33,X34,X41)
| X41 != esk2_4(X32,X33,X34,X35)
| ~ element(X41,the_carrier(X33))
| ~ in(esk2_4(X32,X33,X34,X35),the_carrier(X35)) )
& ( ~ one_sorted_str(X32)
| empty_carrier(X32)
| ~ net_str(X33,X32)
| empty_carrier(X33)
| ~ element(X34,the_carrier(X33))
| ~ net_str(X35,X32)
| ~ strict_net_str(X35,X32)
| X35 != netstr_restr_to_element(X32,X33,X34)
| the_mapping(X32,X35) = partfun_dom_restriction(the_carrier(X33),the_carrier(X32),the_mapping(X32,X33),the_carrier(X35)) )
& ( ~ one_sorted_str(X32)
| empty_carrier(X32)
| ~ net_str(X33,X32)
| empty_carrier(X33)
| ~ element(X34,the_carrier(X33))
| ~ net_str(X35,X32)
| ~ strict_net_str(X35,X32)
| X35 != netstr_restr_to_element(X32,X33,X34)
| the_InternalRel(X35) = relation_restriction_as_relation_of(the_InternalRel(X33),the_carrier(X35)) )
& ( ~ one_sorted_str(X32)
| empty_carrier(X32)
| ~ net_str(X33,X32)
| empty_carrier(X33)
| ~ element(X34,the_carrier(X33))
| ~ net_str(X35,X32)
| ~ strict_net_str(X35,X32)
| X35 != netstr_restr_to_element(X32,X33,X34)
| in(X38,the_carrier(X35))
| ~ related(X33,X34,X39)
| X39 != X38
| ~ element(X39,the_carrier(X33)) )
& ( ~ one_sorted_str(X32)
| empty_carrier(X32)
| ~ net_str(X33,X32)
| empty_carrier(X33)
| ~ element(X34,the_carrier(X33))
| ~ net_str(X35,X32)
| ~ strict_net_str(X35,X32)
| X35 != netstr_restr_to_element(X32,X33,X34)
| ~ in(X36,the_carrier(X35))
| related(X33,X34,esk1_5(X32,X33,X34,X35,X36)) )
& ( ~ one_sorted_str(X32)
| empty_carrier(X32)
| ~ net_str(X33,X32)
| empty_carrier(X33)
| ~ element(X34,the_carrier(X33))
| ~ net_str(X35,X32)
| ~ strict_net_str(X35,X32)
| X35 != netstr_restr_to_element(X32,X33,X34)
| ~ in(X36,the_carrier(X35))
| esk1_5(X32,X33,X34,X35,X36) = X36 )
& ( ~ one_sorted_str(X32)
| empty_carrier(X32)
| ~ net_str(X33,X32)
| empty_carrier(X33)
| ~ element(X34,the_carrier(X33))
| ~ net_str(X35,X32)
| ~ strict_net_str(X35,X32)
| X35 != netstr_restr_to_element(X32,X33,X34)
| ~ in(X36,the_carrier(X35))
| element(esk1_5(X32,X33,X34,X35,X36),the_carrier(X33)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_25])])])])])])]) ).
fof(c_0_36,plain,
! [X150,X151,X152] :
( ( relation_of2_as_subset(X152,X150,X151)
| ~ relation_of2(X152,X150,X151) )
& ( relation_of2(X152,X150,X151)
| ~ relation_of2_as_subset(X152,X150,X151) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1])])]) ).
cnf(c_0_37,plain,
( ~ net_str(X2,X1)
| ~ one_sorted_str(X1)
| relation_of2_as_subset(the_mapping(X1,X2),the_carrier(X2),the_carrier(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
fof(c_0_38,plain,
! [X1,X2,X3,X4] :
( ( element(X4,the_carrier(X1))
& relation_of2(X3,the_carrier(X1),the_carrier(X2))
& quasi_total(X3,the_carrier(X1),the_carrier(X2))
& function(X3)
& one_sorted_str(X2)
& ~ empty_carrier(X2)
& one_sorted_str(X1)
& ~ empty_carrier(X1) )
=> apply_on_structs(X1,X2,X3,X4) = apply(X3,X4) ),
inference(fof_simplification,[status(thm)],[redefinition_k1_waybel_0]) ).
fof(c_0_39,plain,
! [X74] :
( one_sorted_str(X74)
| ~ rel_str(X74) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_orders_2])])]) ).
cnf(c_0_40,plain,
( ~ net_str(X2,X1)
| ~ one_sorted_str(X1)
| rel_str(X2) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_41,negated_conjecture,
net_str(netstr_restr_to_element(esk22_0,esk23_0,esk24_0),esk22_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30])]),c_0_31]) ).
fof(c_0_42,plain,
! [X43,X44,X45] :
( apply_netmap(X43,X44,X45) = apply_on_structs(X44,X43,the_mapping(X43,X44),X45)
| ~ element(X45,the_carrier(X44))
| ~ net_str(X44,X43)
| empty_carrier(X44)
| ~ one_sorted_str(X43)
| empty_carrier(X43) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_32])])])]) ).
cnf(c_0_43,negated_conjecture,
element(esk26_0,the_carrier(netstr_restr_to_element(esk22_0,esk23_0,esk24_0))),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_44,negated_conjecture,
esk25_0 = esk26_0,
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_45,negated_conjecture,
( ~ one_sorted_str(X1)
| ~ net_str(esk23_0,X1)
| ~ empty_carrier(netstr_restr_to_element(X1,esk23_0,esk24_0))
| empty_carrier(X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_22]),c_0_34])]),c_0_23]) ).
fof(c_0_46,plain,
! [X161,X162] :
( in(X161,X162)
| empty(X162)
| ~ element(X161,X162) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_subset])])]) ).
cnf(c_0_47,plain,
( ~ one_sorted_str(X1)
| ~ net_str(X3,X1)
| ~ element(X4,the_carrier(X3))
| ~ net_str(X2,X1)
| ~ strict_net_str(X2,X1)
| X2 != netstr_restr_to_element(X1,X3,X4)
| empty_carrier(X1)
| empty_carrier(X3)
| the_mapping(X1,X2) = partfun_dom_restriction(the_carrier(X3),the_carrier(X1),the_mapping(X1,X3),the_carrier(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_48,plain,
( ~ element(X3,the_carrier(X2))
| ~ net_str(X2,X1)
| ~ one_sorted_str(X1)
| empty_carrier(X2)
| empty_carrier(X1)
| strict_net_str(netstr_restr_to_element(X1,X2,X3),X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_49,plain,
! [X142,X143,X144,X145] :
( partfun_dom_restriction(X142,X143,X144,X145) = relation_dom_restriction(X144,X145)
| ~ relation_of2(X144,X142,X143)
| ~ function(X144) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k2_partfun1])])]) ).
cnf(c_0_50,plain,
( ~ relation_of2_as_subset(X1,X2,X3)
| relation_of2(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_51,negated_conjecture,
relation_of2_as_subset(the_mapping(esk22_0,esk23_0),the_carrier(esk23_0),the_carrier(esk22_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_29]),c_0_30])]) ).
cnf(c_0_52,plain,
( ~ net_str(X2,X1)
| ~ one_sorted_str(X1)
| function(the_mapping(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
fof(c_0_53,plain,
! [X138,X139,X140,X141] :
( apply_on_structs(X138,X139,X140,X141) = apply(X140,X141)
| ~ element(X141,the_carrier(X138))
| ~ relation_of2(X140,the_carrier(X138),the_carrier(X139))
| ~ quasi_total(X140,the_carrier(X138),the_carrier(X139))
| ~ function(X140)
| ~ one_sorted_str(X139)
| empty_carrier(X139)
| ~ one_sorted_str(X138)
| empty_carrier(X138) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_38])])]) ).
cnf(c_0_54,plain,
( ~ rel_str(X1)
| one_sorted_str(X1) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_55,negated_conjecture,
rel_str(netstr_restr_to_element(esk22_0,esk23_0,esk24_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_30])]) ).
cnf(c_0_56,plain,
( ~ element(X3,the_carrier(X2))
| ~ net_str(X2,X1)
| ~ one_sorted_str(X1)
| apply_netmap(X1,X2,X3) = apply_on_structs(X2,X1,the_mapping(X1,X2),X3)
| empty_carrier(X2)
| empty_carrier(X1) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_57,negated_conjecture,
element(esk25_0,the_carrier(netstr_restr_to_element(esk22_0,esk23_0,esk24_0))),
inference(rw,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_58,negated_conjecture,
~ empty_carrier(netstr_restr_to_element(esk22_0,esk23_0,esk24_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_29]),c_0_30])]),c_0_31]) ).
cnf(c_0_59,negated_conjecture,
rel_str(esk23_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_29]),c_0_30])]) ).
cnf(c_0_60,negated_conjecture,
element(esk25_0,the_carrier(esk23_0)),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
fof(c_0_61,plain,
! [X1,X2] :
( ( net_str(X2,X1)
& ~ empty_carrier(X2)
& one_sorted_str(X1)
& ~ empty_carrier(X1) )
=> ( quasi_total(the_mapping(X1,X2),the_carrier(X2),the_carrier(X1))
& function(the_mapping(X1,X2))
& relation(the_mapping(X1,X2))
& ~ empty(the_mapping(X1,X2)) ) ),
inference(fof_simplification,[status(thm)],[fc15_yellow_6]) ).
fof(c_0_62,plain,
! [X172,X173,X174] :
( apply(relation_dom_restriction(X174,X172),X173) = apply(X174,X173)
| ~ in(X173,X172)
| ~ function(X174)
| ~ relation(X174) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t72_funct_1])])]) ).
cnf(c_0_63,plain,
( ~ element(X1,X2)
| in(X1,X2)
| empty(X2) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_64,plain,
( ~ one_sorted_str(X2)
| ~ net_str(X1,X2)
| ~ element(X3,the_carrier(X1))
| empty_carrier(X2)
| empty_carrier(X1)
| partfun_dom_restriction(the_carrier(X1),the_carrier(X2),the_mapping(X2,X1),the_carrier(netstr_restr_to_element(X2,X1,X3))) = the_mapping(X2,netstr_restr_to_element(X2,X1,X3)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_47]),c_0_21]),c_0_48]) ).
cnf(c_0_65,plain,
( ~ relation_of2(X1,X2,X3)
| ~ function(X1)
| partfun_dom_restriction(X2,X3,X1,X4) = relation_dom_restriction(X1,X4) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_66,negated_conjecture,
relation_of2(the_mapping(esk22_0,esk23_0),the_carrier(esk23_0),the_carrier(esk22_0)),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_67,negated_conjecture,
function(the_mapping(esk22_0,esk23_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_29]),c_0_30])]) ).
cnf(c_0_68,plain,
( ~ element(X4,the_carrier(X1))
| ~ relation_of2(X3,the_carrier(X1),the_carrier(X2))
| ~ quasi_total(X3,the_carrier(X1),the_carrier(X2))
| ~ function(X3)
| ~ one_sorted_str(X2)
| ~ one_sorted_str(X1)
| apply_on_structs(X1,X2,X3,X4) = apply(X3,X4)
| empty_carrier(X2)
| empty_carrier(X1) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_69,negated_conjecture,
one_sorted_str(netstr_restr_to_element(esk22_0,esk23_0,esk24_0)),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_70,plain,
( ~ net_str(X2,X1)
| ~ one_sorted_str(X1)
| quasi_total(the_mapping(X1,X2),the_carrier(X2),the_carrier(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_71,negated_conjecture,
( ~ one_sorted_str(X1)
| ~ net_str(netstr_restr_to_element(esk22_0,esk23_0,esk24_0),X1)
| empty_carrier(X1)
| apply_on_structs(netstr_restr_to_element(esk22_0,esk23_0,esk24_0),X1,the_mapping(X1,netstr_restr_to_element(esk22_0,esk23_0,esk24_0)),esk25_0) = apply_netmap(X1,netstr_restr_to_element(esk22_0,esk23_0,esk24_0),esk25_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_58]) ).
cnf(c_0_72,negated_conjecture,
relation_of2_as_subset(the_mapping(esk22_0,netstr_restr_to_element(esk22_0,esk23_0,esk24_0)),the_carrier(netstr_restr_to_element(esk22_0,esk23_0,esk24_0)),the_carrier(esk22_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_41]),c_0_30])]) ).
cnf(c_0_73,negated_conjecture,
one_sorted_str(esk23_0),
inference(spm,[status(thm)],[c_0_54,c_0_59]) ).
cnf(c_0_74,negated_conjecture,
( ~ one_sorted_str(X1)
| ~ net_str(esk23_0,X1)
| empty_carrier(X1)
| apply_on_structs(esk23_0,X1,the_mapping(X1,esk23_0),esk25_0) = apply_netmap(X1,esk23_0,esk25_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_60]),c_0_23]) ).
fof(c_0_75,plain,
! [X97,X98] :
( ( ~ net_str(X98,X97)
| empty_carrier(X98)
| ~ one_sorted_str(X97)
| empty_carrier(X97)
| quasi_total(the_mapping(X97,X98),the_carrier(X98),the_carrier(X97)) )
& ( ~ net_str(X98,X97)
| empty_carrier(X98)
| ~ one_sorted_str(X97)
| empty_carrier(X97)
| function(the_mapping(X97,X98)) )
& ( ~ net_str(X98,X97)
| empty_carrier(X98)
| ~ one_sorted_str(X97)
| empty_carrier(X97)
| relation(the_mapping(X97,X98)) )
& ( ~ net_str(X98,X97)
| empty_carrier(X98)
| ~ one_sorted_str(X97)
| empty_carrier(X97)
| ~ empty(the_mapping(X97,X98)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_61])])])]) ).
fof(c_0_76,plain,
! [X1] :
( ( one_sorted_str(X1)
& ~ empty_carrier(X1) )
=> ~ empty(the_carrier(X1)) ),
inference(fof_simplification,[status(thm)],[fc1_struct_0]) ).
cnf(c_0_77,plain,
( ~ in(X2,X3)
| ~ function(X1)
| ~ relation(X1)
| apply(relation_dom_restriction(X1,X3),X2) = apply(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_78,negated_conjecture,
( in(esk25_0,the_carrier(netstr_restr_to_element(esk22_0,esk23_0,esk24_0)))
| empty(the_carrier(netstr_restr_to_element(esk22_0,esk23_0,esk24_0))) ),
inference(spm,[status(thm)],[c_0_63,c_0_57]) ).
cnf(c_0_79,negated_conjecture,
( ~ one_sorted_str(X1)
| ~ net_str(esk23_0,X1)
| empty_carrier(X1)
| partfun_dom_restriction(the_carrier(esk23_0),the_carrier(X1),the_mapping(X1,esk23_0),the_carrier(netstr_restr_to_element(X1,esk23_0,esk24_0))) = the_mapping(X1,netstr_restr_to_element(X1,esk23_0,esk24_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_22]),c_0_23]) ).
cnf(c_0_80,negated_conjecture,
partfun_dom_restriction(the_carrier(esk23_0),the_carrier(esk22_0),the_mapping(esk22_0,esk23_0),X1) = relation_dom_restriction(the_mapping(esk22_0,esk23_0),X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_67])]) ).
cnf(c_0_81,negated_conjecture,
( ~ one_sorted_str(X1)
| ~ function(X2)
| ~ relation_of2(X2,the_carrier(netstr_restr_to_element(esk22_0,esk23_0,esk24_0)),the_carrier(X1))
| ~ quasi_total(X2,the_carrier(netstr_restr_to_element(esk22_0,esk23_0,esk24_0)),the_carrier(X1))
| empty_carrier(X1)
| apply_on_structs(netstr_restr_to_element(esk22_0,esk23_0,esk24_0),X1,X2,esk25_0) = apply(X2,esk25_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_57]),c_0_69])]),c_0_58]) ).
cnf(c_0_82,negated_conjecture,
quasi_total(the_mapping(esk22_0,netstr_restr_to_element(esk22_0,esk23_0,esk24_0)),the_carrier(netstr_restr_to_element(esk22_0,esk23_0,esk24_0)),the_carrier(esk22_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_41]),c_0_30])]) ).
cnf(c_0_83,negated_conjecture,
apply_on_structs(netstr_restr_to_element(esk22_0,esk23_0,esk24_0),esk22_0,the_mapping(esk22_0,netstr_restr_to_element(esk22_0,esk23_0,esk24_0)),esk25_0) = apply_netmap(esk22_0,netstr_restr_to_element(esk22_0,esk23_0,esk24_0),esk25_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_41]),c_0_30])]),c_0_31]) ).
cnf(c_0_84,negated_conjecture,
relation_of2(the_mapping(esk22_0,netstr_restr_to_element(esk22_0,esk23_0,esk24_0)),the_carrier(netstr_restr_to_element(esk22_0,esk23_0,esk24_0)),the_carrier(esk22_0)),
inference(spm,[status(thm)],[c_0_50,c_0_72]) ).
cnf(c_0_85,negated_conjecture,
function(the_mapping(esk22_0,netstr_restr_to_element(esk22_0,esk23_0,esk24_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_41]),c_0_30])]) ).
cnf(c_0_86,negated_conjecture,
( ~ one_sorted_str(X1)
| ~ function(X2)
| ~ relation_of2(X2,the_carrier(esk23_0),the_carrier(X1))
| ~ quasi_total(X2,the_carrier(esk23_0),the_carrier(X1))
| empty_carrier(X1)
| apply_on_structs(esk23_0,X1,X2,esk25_0) = apply(X2,esk25_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_60]),c_0_23]),c_0_73])]) ).
cnf(c_0_87,negated_conjecture,
quasi_total(the_mapping(esk22_0,esk23_0),the_carrier(esk23_0),the_carrier(esk22_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_29]),c_0_30])]) ).
cnf(c_0_88,negated_conjecture,
apply_on_structs(esk23_0,esk22_0,the_mapping(esk22_0,esk23_0),esk25_0) = apply_netmap(esk22_0,esk23_0,esk25_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_29]),c_0_30])]),c_0_31]) ).
cnf(c_0_89,plain,
( ~ net_str(X2,X1)
| ~ one_sorted_str(X1)
| empty_carrier(X2)
| empty_carrier(X1)
| relation(the_mapping(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_75]) ).
cnf(c_0_90,negated_conjecture,
apply_netmap(esk22_0,esk23_0,esk25_0) != apply_netmap(esk22_0,netstr_restr_to_element(esk22_0,esk23_0,esk24_0),esk26_0),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
fof(c_0_91,plain,
! [X100] :
( ~ empty(the_carrier(X100))
| ~ one_sorted_str(X100)
| empty_carrier(X100) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_76])])]) ).
cnf(c_0_92,negated_conjecture,
( ~ function(X1)
| ~ relation(X1)
| empty(the_carrier(netstr_restr_to_element(esk22_0,esk23_0,esk24_0)))
| apply(relation_dom_restriction(X1,the_carrier(netstr_restr_to_element(esk22_0,esk23_0,esk24_0))),esk25_0) = apply(X1,esk25_0) ),
inference(spm,[status(thm)],[c_0_77,c_0_78]) ).
cnf(c_0_93,negated_conjecture,
relation_dom_restriction(the_mapping(esk22_0,esk23_0),the_carrier(netstr_restr_to_element(esk22_0,esk23_0,esk24_0))) = the_mapping(esk22_0,netstr_restr_to_element(esk22_0,esk23_0,esk24_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_29]),c_0_80]),c_0_30])]),c_0_31]) ).
cnf(c_0_94,negated_conjecture,
apply(the_mapping(esk22_0,netstr_restr_to_element(esk22_0,esk23_0,esk24_0)),esk25_0) = apply_netmap(esk22_0,netstr_restr_to_element(esk22_0,esk23_0,esk24_0),esk25_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_83]),c_0_84]),c_0_85]),c_0_30])]),c_0_31]) ).
cnf(c_0_95,negated_conjecture,
apply(the_mapping(esk22_0,esk23_0),esk25_0) = apply_netmap(esk22_0,esk23_0,esk25_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_88]),c_0_66]),c_0_67]),c_0_30])]),c_0_31]) ).
cnf(c_0_96,negated_conjecture,
relation(the_mapping(esk22_0,esk23_0)),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_29]),c_0_30])]),c_0_23]),c_0_31]) ).
cnf(c_0_97,negated_conjecture,
apply_netmap(esk22_0,netstr_restr_to_element(esk22_0,esk23_0,esk24_0),esk25_0) != apply_netmap(esk22_0,esk23_0,esk25_0),
inference(rw,[status(thm)],[c_0_90,c_0_44]) ).
cnf(c_0_98,plain,
( ~ empty(the_carrier(X1))
| ~ one_sorted_str(X1)
| empty_carrier(X1) ),
inference(split_conjunct,[status(thm)],[c_0_91]) ).
cnf(c_0_99,negated_conjecture,
empty(the_carrier(netstr_restr_to_element(esk22_0,esk23_0,esk24_0))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_93]),c_0_94]),c_0_95]),c_0_96]),c_0_67])]),c_0_97]) ).
cnf(c_0_100,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_99]),c_0_69])]),c_0_58]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU385+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n004.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 21 06:17:49 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.86/0.78 % Version: 3.5.1
% 1.86/0.78 % Preprocessing class: FSLSSMSSSSSNFFN.
% 1.86/0.78 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.86/0.78 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.86/0.78 % Starting new_bool_3 with 300s (1) cores
% 1.86/0.78 % Starting new_bool_1 with 300s (1) cores
% 1.86/0.78 % Starting sh5l with 300s (1) cores
% 1.86/0.78 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 2427496 completed with status 0
% 1.86/0.78 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 1.86/0.78 % Preprocessing class: FSLSSMSSSSSNFFN.
% 1.86/0.78 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.86/0.78 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.86/0.78 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 1.86/0.78 % No SInE strategy applied
% 1.86/0.78 % Search class: FGHSM-FSLM32-SFFFFFNN
% 1.86/0.78 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 1.86/0.78 % Starting SubtermCWHack with 136s (1) cores
% 1.86/0.78 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 1.86/0.78 % Starting 208_C09_12_F1_SE_CS_SP_PS_S070I with 389s (1) cores
% 1.86/0.78 % Starting U----_213g_00_B07_00_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 1.86/0.78 % Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN with 136s (1) cores
% 1.86/0.78 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 2427504 completed with status 0
% 1.86/0.78 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 1.86/0.78 % Preprocessing class: FSLSSMSSSSSNFFN.
% 1.86/0.78 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.86/0.78 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.86/0.78 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 1.86/0.78 % No SInE strategy applied
% 1.86/0.78 % Search class: FGHSM-FSLM32-SFFFFFNN
% 1.86/0.78 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 1.86/0.78 % Starting SubtermCWHack with 136s (1) cores
% 1.86/0.78 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 1.86/0.78 % Preprocessing time : 0.002 s
% 1.86/0.78 % Presaturation interreduction done
% 1.86/0.78
% 1.86/0.78 % Proof found!
% 1.86/0.78 % SZS status Theorem
% 1.86/0.78 % SZS output start CNFRefutation
% See solution above
% 1.86/0.78 % Parsed axioms : 79
% 1.86/0.78 % Removed by relevancy pruning/SinE : 0
% 1.86/0.78 % Initial clauses : 141
% 1.86/0.78 % Removed in clause preprocessing : 15
% 1.86/0.78 % Initial clauses in saturation : 126
% 1.86/0.78 % Processed clauses : 2757
% 1.86/0.78 % ...of these trivial : 8
% 1.86/0.78 % ...subsumed : 1550
% 1.86/0.78 % ...remaining for further processing : 1199
% 1.86/0.78 % Other redundant clauses eliminated : 34
% 1.86/0.78 % Clauses deleted for lack of memory : 0
% 1.86/0.78 % Backward-subsumed : 3
% 1.86/0.78 % Backward-rewritten : 56
% 1.86/0.78 % Generated clauses : 8174
% 1.86/0.78 % ...of the previous two non-redundant : 7980
% 1.86/0.78 % ...aggressively subsumed : 0
% 1.86/0.78 % Contextual simplify-reflections : 20
% 1.86/0.78 % Paramodulations : 8137
% 1.86/0.78 % Factorizations : 0
% 1.86/0.78 % NegExts : 0
% 1.86/0.78 % Equation resolutions : 38
% 1.86/0.78 % Disequality decompositions : 0
% 1.86/0.78 % Total rewrite steps : 758
% 1.86/0.78 % ...of those cached : 621
% 1.86/0.78 % Propositional unsat checks : 0
% 1.86/0.78 % Propositional check models : 0
% 1.86/0.78 % Propositional check unsatisfiable : 0
% 1.86/0.78 % Propositional clauses : 0
% 1.86/0.78 % Propositional clauses after purity: 0
% 1.86/0.78 % Propositional unsat core size : 0
% 1.86/0.78 % Propositional preprocessing time : 0.000
% 1.86/0.78 % Propositional encoding time : 0.000
% 1.86/0.78 % Propositional solver time : 0.000
% 1.86/0.78 % Success case prop preproc time : 0.000
% 1.86/0.78 % Success case prop encoding time : 0.000
% 1.86/0.78 % Success case prop solver time : 0.000
% 1.86/0.78 % Current number of processed clauses : 1013
% 1.86/0.78 % Positive orientable unit clauses : 195
% 1.86/0.78 % Positive unorientable unit clauses: 1
% 1.86/0.78 % Negative unit clauses : 18
% 1.86/0.78 % Non-unit-clauses : 799
% 1.86/0.78 % Current number of unprocessed clauses: 5428
% 1.86/0.78 % ...number of literals in the above : 26346
% 1.86/0.78 % Current number of archived formulas : 0
% 1.86/0.78 % Current number of archived clauses : 179
% 1.86/0.78 % Clause-clause subsumption calls (NU) : 199473
% 1.86/0.78 % Rec. Clause-clause subsumption calls : 72395
% 1.86/0.78 % Non-unit clause-clause subsumptions : 1267
% 1.86/0.78 % Unit Clause-clause subsumption calls : 5676
% 1.86/0.78 % Rewrite failures with RHS unbound : 0
% 1.86/0.78 % BW rewrite match attempts : 173
% 1.86/0.78 % BW rewrite match successes : 12
% 1.86/0.78 % Condensation attempts : 0
% 1.86/0.78 % Condensation successes : 0
% 1.86/0.78 % Termbank termtop insertions : 163068
% 1.86/0.78 % Search garbage collected termcells : 2018
% 1.86/0.78
% 1.86/0.78 % -------------------------------------------------
% 1.86/0.78 % User time : 0.315 s
% 1.86/0.78 % System time : 0.014 s
% 1.86/0.78 % Total time : 0.329 s
% 1.86/0.78 % Maximum resident set size: 3980 pages
% 1.86/0.78
% 1.86/0.78 % -------------------------------------------------
% 1.86/0.78 % User time : 1.279 s
% 1.86/0.78 % System time : 0.071 s
% 1.86/0.78 % Total time : 1.350 s
% 1.86/0.78 % Maximum resident set size: 4608 pages
% 1.86/0.78 % E exiting
%------------------------------------------------------------------------------