%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SEU373+2 : TPTP v9.2.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n011.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 : Tue May 5 05:12:06 PM UTC 2026
% Result : Theorem 5.98s 4.31s
% Output : CNFRefutation 5.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 27 ( 7 unt; 0 def)
% Number of atoms : 105 ( 3 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 130 ( 52 ~; 49 |; 10 &)
% ( 2 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-4 aty)
% Number of variables : 47 ( 0 sgn 30 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(d8_yellow_6,axiom,
! [X1] :
( one_sorted_str(X1)
=> ! [X2] :
( net_str(X2,X1)
=> ! [X3] :
( net_str(X3,X1)
=> ( subnetstr(X3,X1,X2)
<=> ( subrelstr(X3,X2)
& the_mapping(X1,X3) = relation_dom_restr_as_relation_of(the_carrier(X2),the_carrier(X1),the_mapping(X1,X2),the_carrier(X3)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d8_yellow_6) ).
fof(dt_m1_yellow_6,axiom,
! [X1,X2] :
( ( one_sorted_str(X1)
& net_str(X2,X1) )
=> ! [X3] :
( subnetstr(X3,X1,X2)
=> net_str(X3,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_yellow_6) ).
fof(t19_yellow_6,conjecture,
! [X1] :
( one_sorted_str(X1)
=> ! [X2] :
( net_str(X2,X1)
=> ! [X3] :
( subnetstr(X3,X1,X2)
=> subset(the_carrier(X3),the_carrier(X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t19_yellow_6) ).
fof(d13_yellow_0,axiom,
! [X1] :
( rel_str(X1)
=> ! [X2] :
( rel_str(X2)
=> ( subrelstr(X2,X1)
<=> ( subset(the_carrier(X2),the_carrier(X1))
& subset(the_InternalRel(X2),the_InternalRel(X1)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d13_yellow_0) ).
fof(dt_m1_yellow_0,axiom,
! [X1] :
( rel_str(X1)
=> ! [X2] :
( subrelstr(X2,X1)
=> rel_str(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_yellow_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(c_0_6,plain,
! [X2730,X2731,X2732] :
( ( subrelstr(X2732,X2731)
| ~ subnetstr(X2732,X2730,X2731)
| ~ net_str(X2732,X2730)
| ~ net_str(X2731,X2730)
| ~ one_sorted_str(X2730) )
& ( the_mapping(X2730,X2732) = relation_dom_restr_as_relation_of(the_carrier(X2731),the_carrier(X2730),the_mapping(X2730,X2731),the_carrier(X2732))
| ~ subnetstr(X2732,X2730,X2731)
| ~ net_str(X2732,X2730)
| ~ net_str(X2731,X2730)
| ~ one_sorted_str(X2730) )
& ( ~ subrelstr(X2732,X2731)
| the_mapping(X2730,X2732) != relation_dom_restr_as_relation_of(the_carrier(X2731),the_carrier(X2730),the_mapping(X2730,X2731),the_carrier(X2732))
| subnetstr(X2732,X2730,X2731)
| ~ net_str(X2732,X2730)
| ~ net_str(X2731,X2730)
| ~ one_sorted_str(X2730) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d8_yellow_6])])])]) ).
fof(c_0_7,plain,
! [X2879,X2880,X2881] :
( ~ one_sorted_str(X2879)
| ~ net_str(X2880,X2879)
| ~ subnetstr(X2881,X2879,X2880)
| net_str(X2881,X2879) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_m1_yellow_6])])]) ).
fof(c_0_8,negated_conjecture,
~ ! [X1] :
( one_sorted_str(X1)
=> ! [X2] :
( net_str(X2,X1)
=> ! [X3] :
( subnetstr(X3,X1,X2)
=> subset(the_carrier(X3),the_carrier(X2)) ) ) ),
inference(assume_negation,[status(cth)],[t19_yellow_6]) ).
fof(c_0_9,plain,
! [X2238,X2239] :
( ( subset(the_carrier(X2239),the_carrier(X2238))
| ~ subrelstr(X2239,X2238)
| ~ rel_str(X2239)
| ~ rel_str(X2238) )
& ( subset(the_InternalRel(X2239),the_InternalRel(X2238))
| ~ subrelstr(X2239,X2238)
| ~ rel_str(X2239)
| ~ rel_str(X2238) )
& ( ~ subset(the_carrier(X2239),the_carrier(X2238))
| ~ subset(the_InternalRel(X2239),the_InternalRel(X2238))
| subrelstr(X2239,X2238)
| ~ rel_str(X2239)
| ~ rel_str(X2238) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d13_yellow_0])])])]) ).
fof(c_0_10,plain,
! [X2877,X2878] :
( ~ rel_str(X2877)
| ~ subrelstr(X2878,X2877)
| rel_str(X2878) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_m1_yellow_0])])]) ).
cnf(c_0_11,plain,
( subrelstr(X1,X2)
| ~ subnetstr(X1,X3,X2)
| ~ net_str(X1,X3)
| ~ net_str(X2,X3)
| ~ one_sorted_str(X3) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_12,plain,
( net_str(X3,X1)
| ~ one_sorted_str(X1)
| ~ net_str(X2,X1)
| ~ subnetstr(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_13,negated_conjecture,
( one_sorted_str(esk466_0)
& net_str(esk467_0,esk466_0)
& subnetstr(esk468_0,esk466_0,esk467_0)
& ~ subset(the_carrier(esk468_0),the_carrier(esk467_0)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])]) ).
fof(c_0_14,plain,
! [X2870,X2871] :
( ~ one_sorted_str(X2870)
| ~ net_str(X2871,X2870)
| rel_str(X2871) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_waybel_0])])]) ).
cnf(c_0_15,plain,
( subset(the_carrier(X1),the_carrier(X2))
| ~ subrelstr(X1,X2)
| ~ rel_str(X1)
| ~ rel_str(X2) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_16,plain,
( rel_str(X2)
| ~ rel_str(X1)
| ~ subrelstr(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_17,plain,
( subrelstr(X1,X2)
| ~ subnetstr(X1,X3,X2)
| ~ net_str(X2,X3)
| ~ one_sorted_str(X3) ),
inference(csr,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_18,negated_conjecture,
subnetstr(esk468_0,esk466_0,esk467_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_19,negated_conjecture,
net_str(esk467_0,esk466_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_20,negated_conjecture,
one_sorted_str(esk466_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_21,plain,
( rel_str(X2)
| ~ one_sorted_str(X1)
| ~ net_str(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_22,plain,
( subset(the_carrier(X1),the_carrier(X2))
| ~ subrelstr(X1,X2)
| ~ rel_str(X2) ),
inference(csr,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_23,negated_conjecture,
subrelstr(esk468_0,esk467_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19]),c_0_20])]) ).
cnf(c_0_24,negated_conjecture,
rel_str(esk467_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_19]),c_0_20])]) ).
cnf(c_0_25,negated_conjecture,
~ subset(the_carrier(esk468_0),the_carrier(esk467_0)),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_26,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24])]),c_0_25]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU373+2 : TPTP v9.2.1. Released v3.3.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.17/0.33 % Computer : n011.cluster.edu
% 0.17/0.33 % Model : x86_64 x86_64
% 0.17/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.33 % Memory : 8042.1875MB
% 0.17/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.33 % CPULimit : 300
% 0.17/0.33 % WCLimit : 300
% 0.17/0.33 % DateTime : Tue May 5 03:00:02 EDT 2026
% 0.17/0.33 % CPUTime :
% 0.17/0.34 % start to proof: theBenchmark
% 5.98/4.31 % Version : CSE_E---1.7
% 5.98/4.31 % Problem : theBenchmark.p
% 5.98/4.31 % SZS status Theorem for theBenchmark.p
% 5.98/4.31 % SZS output start CNFRefutation
% See solution above
% 5.98/4.32 % Total time : 3.642s
%------------------------------------------------------------------------------