%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SEU375+1 : TPTP v9.2.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n022.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 1.28s 1.72s
% Output : CNFRefutation 1.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of formulae : 59 ( 25 unt; 0 def)
% Number of atoms : 212 ( 14 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 247 ( 94 ~; 83 |; 34 &)
% ( 1 <=>; 35 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-1 aty)
% Number of variables : 83 ( 0 sgn 55 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t21_yellow_6,conjecture,
! [X1] :
( one_sorted_str(X1)
=> ! [X2] :
( ( ~ empty_carrier(X2)
& net_str(X2,X1) )
=> ! [X3] :
( ( ~ empty_carrier(X3)
& full_subnetstr(X3,X1,X2)
& subnetstr(X3,X1,X2) )
=> ! [X4] :
( element(X4,the_carrier(X2))
=> ! [X5] :
( element(X5,the_carrier(X2))
=> ! [X6] :
( element(X6,the_carrier(X3))
=> ! [X7] :
( element(X7,the_carrier(X3))
=> ( ( X4 = X6
& X5 = X7
& related(X2,X4,X5) )
=> related(X3,X6,X7) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t21_yellow_6) ).
fof(t61_yellow_0,axiom,
! [X1] :
( rel_str(X1)
=> ! [X2] :
( ( full_subrelstr(X2,X1)
& subrelstr(X2,X1) )
=> ! [X3] :
( element(X3,the_carrier(X1))
=> ! [X4] :
( element(X4,the_carrier(X1))
=> ! [X5] :
( element(X5,the_carrier(X2))
=> ! [X6] :
( element(X6,the_carrier(X2))
=> ( ( X5 = X3
& X6 = X4
& related(X1,X3,X4)
& in(X5,the_carrier(X2))
& in(X6,the_carrier(X2)) )
=> related(X2,X5,X6) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t61_yellow_0) ).
fof(t1_subset,axiom,
! [X1,X2] :
( in(X1,X2)
=> element(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_subset) ).
fof(dt_l1_waybel_0,axiom,
! [X1] :
( one_sorted_str(X1)
=> ! [X2] :
( net_str(X2,X1)
=> rel_str(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_waybel_0) ).
fof(d9_yellow_6,axiom,
! [X1] :
( one_sorted_str(X1)
=> ! [X2] :
( net_str(X2,X1)
=> ! [X3] :
( subnetstr(X3,X1,X2)
=> ( full_subnetstr(X3,X1,X2)
<=> ( full_subrelstr(X3,X2)
& subrelstr(X3,X2) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d9_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/sandbox2/benchmark/theBenchmark.p',dt_m1_yellow_6) ).
fof(t2_subset,axiom,
! [X1,X2] :
( element(X1,X2)
=> ( empty(X2)
| in(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_subset) ).
fof(fc1_struct_0,axiom,
! [X1] :
( ( ~ empty_carrier(X1)
& one_sorted_str(X1) )
=> ~ empty(the_carrier(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(dt_l1_orders_2,axiom,
! [X1] :
( rel_str(X1)
=> one_sorted_str(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_orders_2) ).
fof(c_0_9,negated_conjecture,
~ ! [X1] :
( one_sorted_str(X1)
=> ! [X2] :
( ( ~ empty_carrier(X2)
& net_str(X2,X1) )
=> ! [X3] :
( ( ~ empty_carrier(X3)
& full_subnetstr(X3,X1,X2)
& subnetstr(X3,X1,X2) )
=> ! [X4] :
( element(X4,the_carrier(X2))
=> ! [X5] :
( element(X5,the_carrier(X2))
=> ! [X6] :
( element(X6,the_carrier(X3))
=> ! [X7] :
( element(X7,the_carrier(X3))
=> ( ( X4 = X6
& X5 = X7
& related(X2,X4,X5) )
=> related(X3,X6,X7) ) ) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t21_yellow_6])]) ).
fof(c_0_10,plain,
! [X119,X120,X121,X122,X123,X124] :
( ~ rel_str(X119)
| ~ full_subrelstr(X120,X119)
| ~ subrelstr(X120,X119)
| ~ element(X121,the_carrier(X119))
| ~ element(X122,the_carrier(X119))
| ~ element(X123,the_carrier(X120))
| ~ element(X124,the_carrier(X120))
| X123 != X121
| X124 != X122
| ~ related(X119,X121,X122)
| ~ in(X123,the_carrier(X120))
| ~ in(X124,the_carrier(X120))
| related(X120,X123,X124) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t61_yellow_0])])]) ).
fof(c_0_11,plain,
! [X108,X109] :
( ~ in(X108,X109)
| element(X108,X109) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_subset])]) ).
fof(c_0_12,negated_conjecture,
( one_sorted_str(esk16_0)
& ~ empty_carrier(esk17_0)
& net_str(esk17_0,esk16_0)
& ~ empty_carrier(esk18_0)
& full_subnetstr(esk18_0,esk16_0,esk17_0)
& subnetstr(esk18_0,esk16_0,esk17_0)
& element(esk19_0,the_carrier(esk17_0))
& element(esk20_0,the_carrier(esk17_0))
& element(esk21_0,the_carrier(esk18_0))
& element(esk22_0,the_carrier(esk18_0))
& esk19_0 = esk21_0
& esk20_0 = esk22_0
& related(esk17_0,esk19_0,esk20_0)
& ~ related(esk18_0,esk21_0,esk22_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])]) ).
fof(c_0_13,plain,
! [X80,X81] :
( ~ one_sorted_str(X80)
| ~ net_str(X81,X80)
| rel_str(X81) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_waybel_0])])]) ).
cnf(c_0_14,plain,
( related(X2,X5,X6)
| ~ rel_str(X1)
| ~ full_subrelstr(X2,X1)
| ~ subrelstr(X2,X1)
| ~ element(X3,the_carrier(X1))
| ~ element(X4,the_carrier(X1))
| ~ element(X5,the_carrier(X2))
| ~ element(X6,the_carrier(X2))
| X5 != X3
| X6 != X4
| ~ related(X1,X3,X4)
| ~ in(X5,the_carrier(X2))
| ~ in(X6,the_carrier(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_15,plain,
( element(X1,X2)
| ~ in(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_16,negated_conjecture,
related(esk17_0,esk19_0,esk20_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_17,negated_conjecture,
esk20_0 = esk22_0,
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_18,negated_conjecture,
element(esk20_0,the_carrier(esk17_0)),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_19,plain,
( rel_str(X2)
| ~ one_sorted_str(X1)
| ~ net_str(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_20,negated_conjecture,
net_str(esk17_0,esk16_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_21,negated_conjecture,
one_sorted_str(esk16_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_22,plain,
! [X76,X77,X78] :
( ( full_subrelstr(X78,X77)
| ~ full_subnetstr(X78,X76,X77)
| ~ subnetstr(X78,X76,X77)
| ~ net_str(X77,X76)
| ~ one_sorted_str(X76) )
& ( subrelstr(X78,X77)
| ~ full_subnetstr(X78,X76,X77)
| ~ subnetstr(X78,X76,X77)
| ~ net_str(X77,X76)
| ~ one_sorted_str(X76) )
& ( ~ full_subrelstr(X78,X77)
| ~ subrelstr(X78,X77)
| full_subnetstr(X78,X76,X77)
| ~ subnetstr(X78,X76,X77)
| ~ net_str(X77,X76)
| ~ one_sorted_str(X76) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d9_yellow_6])])])]) ).
fof(c_0_23,plain,
! [X84,X85,X86] :
( ~ one_sorted_str(X84)
| ~ net_str(X85,X84)
| ~ subnetstr(X86,X84,X85)
| net_str(X86,X84) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_m1_yellow_6])])]) ).
cnf(c_0_24,plain,
( related(X1,X2,X3)
| ~ related(X4,X2,X3)
| ~ element(X3,the_carrier(X4))
| ~ element(X2,the_carrier(X4))
| ~ subrelstr(X1,X4)
| ~ full_subrelstr(X1,X4)
| ~ rel_str(X4)
| ~ in(X3,the_carrier(X1))
| ~ in(X2,the_carrier(X1)) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_14,c_0_15]),c_0_15])])]) ).
cnf(c_0_25,negated_conjecture,
related(esk17_0,esk19_0,esk22_0),
inference(rw,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_26,negated_conjecture,
element(esk22_0,the_carrier(esk17_0)),
inference(rw,[status(thm)],[c_0_18,c_0_17]) ).
cnf(c_0_27,negated_conjecture,
element(esk19_0,the_carrier(esk17_0)),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_28,negated_conjecture,
rel_str(esk17_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21])]) ).
cnf(c_0_29,plain,
( full_subrelstr(X1,X2)
| ~ full_subnetstr(X1,X3,X2)
| ~ subnetstr(X1,X3,X2)
| ~ net_str(X2,X3)
| ~ one_sorted_str(X3) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_30,negated_conjecture,
full_subnetstr(esk18_0,esk16_0,esk17_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_31,negated_conjecture,
subnetstr(esk18_0,esk16_0,esk17_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_32,plain,
( subrelstr(X1,X2)
| ~ full_subnetstr(X1,X3,X2)
| ~ subnetstr(X1,X3,X2)
| ~ net_str(X2,X3)
| ~ one_sorted_str(X3) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_33,negated_conjecture,
~ related(esk18_0,esk21_0,esk22_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_34,negated_conjecture,
esk19_0 = esk21_0,
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_35,plain,
! [X117,X118] :
( ~ element(X117,X118)
| empty(X118)
| in(X117,X118) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_subset])]) ).
cnf(c_0_36,negated_conjecture,
element(esk21_0,the_carrier(esk18_0)),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_37,plain,
( net_str(X3,X1)
| ~ one_sorted_str(X1)
| ~ net_str(X2,X1)
| ~ subnetstr(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
fof(c_0_38,plain,
! [X1] :
( ( ~ empty_carrier(X1)
& one_sorted_str(X1) )
=> ~ empty(the_carrier(X1)) ),
inference(fof_simplification,[status(thm)],[fc1_struct_0]) ).
cnf(c_0_39,negated_conjecture,
( related(X1,esk19_0,esk22_0)
| ~ subrelstr(X1,esk17_0)
| ~ full_subrelstr(X1,esk17_0)
| ~ in(esk22_0,the_carrier(X1))
| ~ in(esk19_0,the_carrier(X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]),c_0_27]),c_0_28])]) ).
cnf(c_0_40,negated_conjecture,
full_subrelstr(esk18_0,esk17_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31]),c_0_20]),c_0_21])]) ).
cnf(c_0_41,negated_conjecture,
subrelstr(esk18_0,esk17_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_30]),c_0_31]),c_0_20]),c_0_21])]) ).
cnf(c_0_42,negated_conjecture,
~ related(esk18_0,esk19_0,esk22_0),
inference(rw,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_43,plain,
( empty(X2)
| in(X1,X2)
| ~ element(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_44,negated_conjecture,
element(esk22_0,the_carrier(esk18_0)),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_45,negated_conjecture,
element(esk19_0,the_carrier(esk18_0)),
inference(rw,[status(thm)],[c_0_36,c_0_34]) ).
fof(c_0_46,plain,
! [X79] :
( ~ rel_str(X79)
| one_sorted_str(X79) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_orders_2])]) ).
cnf(c_0_47,negated_conjecture,
net_str(esk18_0,esk16_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_31]),c_0_20]),c_0_21])]) ).
fof(c_0_48,plain,
! [X98] :
( empty_carrier(X98)
| ~ one_sorted_str(X98)
| ~ empty(the_carrier(X98)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_38])]) ).
cnf(c_0_49,negated_conjecture,
( ~ in(esk22_0,the_carrier(esk18_0))
| ~ in(esk19_0,the_carrier(esk18_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_41])]),c_0_42]) ).
cnf(c_0_50,negated_conjecture,
( empty(the_carrier(esk18_0))
| in(esk22_0,the_carrier(esk18_0)) ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_51,negated_conjecture,
( empty(the_carrier(esk18_0))
| in(esk19_0,the_carrier(esk18_0)) ),
inference(spm,[status(thm)],[c_0_43,c_0_45]) ).
cnf(c_0_52,plain,
( one_sorted_str(X1)
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_53,negated_conjecture,
rel_str(esk18_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_47]),c_0_21])]) ).
cnf(c_0_54,plain,
( empty_carrier(X1)
| ~ one_sorted_str(X1)
| ~ empty(the_carrier(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_55,negated_conjecture,
empty(the_carrier(esk18_0)),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_51]) ).
cnf(c_0_56,negated_conjecture,
one_sorted_str(esk18_0),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_57,negated_conjecture,
~ empty_carrier(esk18_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_58,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_56])]),c_0_57]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU375+1 : TPTP v9.2.1. Released v3.3.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.33 % Computer : n022.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Tue May 5 03:00:21 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 1.28/1.72 % Version : CSE_E---1.7
% 1.28/1.72 % Problem : theBenchmark.p
% 1.28/1.72 % SZS status Theorem for theBenchmark.p
% 1.28/1.72 % SZS output start CNFRefutation
% See solution above
% 1.28/1.72 % Total time : 1.372s
%------------------------------------------------------------------------------