%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SEU374+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 : n017.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 1.26s 1.71s
% Output : CNFRefutation 1.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 36 ( 18 unt; 0 def)
% Number of atoms : 146 ( 17 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 173 ( 63 ~; 59 |; 20 &)
% ( 1 <=>; 30 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-4 aty)
% Number of variables : 64 ( 0 sgn 42 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t20_yellow_6,conjecture,
! [X1] :
( one_sorted_str(X1)
=> ! [X2] :
( net_str(X2,X1)
=> ! [X3] :
( 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(X3,X6,X7) )
=> related(X2,X4,X5) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t20_yellow_6) ).
fof(t60_yellow_0,axiom,
! [X1] :
( rel_str(X1)
=> ! [X2] :
( 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(X2,X5,X6) )
=> related(X1,X3,X4) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t60_yellow_0) ).
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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',dt_m1_yellow_6) ).
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(c_0_5,negated_conjecture,
~ ! [X1] :
( one_sorted_str(X1)
=> ! [X2] :
( net_str(X2,X1)
=> ! [X3] :
( 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(X3,X6,X7) )
=> related(X2,X4,X5) ) ) ) ) ) ) ) ),
inference(assume_negation,[status(cth)],[t20_yellow_6]) ).
fof(c_0_6,plain,
! [X206,X207,X208,X209,X210,X211] :
( ~ rel_str(X206)
| ~ subrelstr(X207,X206)
| ~ element(X208,the_carrier(X206))
| ~ element(X209,the_carrier(X206))
| ~ element(X210,the_carrier(X207))
| ~ element(X211,the_carrier(X207))
| X210 != X208
| X211 != X209
| ~ related(X207,X210,X211)
| related(X206,X208,X209) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t60_yellow_0])])]) ).
fof(c_0_7,negated_conjecture,
( one_sorted_str(esk19_0)
& net_str(esk20_0,esk19_0)
& subnetstr(esk21_0,esk19_0,esk20_0)
& element(esk22_0,the_carrier(esk20_0))
& element(esk23_0,the_carrier(esk20_0))
& element(esk24_0,the_carrier(esk21_0))
& element(esk25_0,the_carrier(esk21_0))
& esk22_0 = esk24_0
& esk23_0 = esk25_0
& related(esk21_0,esk24_0,esk25_0)
& ~ related(esk20_0,esk22_0,esk23_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])]) ).
fof(c_0_8,plain,
! [X121,X122,X123] :
( ( subrelstr(X123,X122)
| ~ subnetstr(X123,X121,X122)
| ~ net_str(X123,X121)
| ~ net_str(X122,X121)
| ~ one_sorted_str(X121) )
& ( the_mapping(X121,X123) = relation_dom_restr_as_relation_of(the_carrier(X122),the_carrier(X121),the_mapping(X121,X122),the_carrier(X123))
| ~ subnetstr(X123,X121,X122)
| ~ net_str(X123,X121)
| ~ net_str(X122,X121)
| ~ one_sorted_str(X121) )
& ( ~ subrelstr(X123,X122)
| the_mapping(X121,X123) != relation_dom_restr_as_relation_of(the_carrier(X122),the_carrier(X121),the_mapping(X121,X122),the_carrier(X123))
| subnetstr(X123,X121,X122)
| ~ net_str(X123,X121)
| ~ net_str(X122,X121)
| ~ one_sorted_str(X121) ) ),
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_9,plain,
! [X135,X136,X137] :
( ~ one_sorted_str(X135)
| ~ net_str(X136,X135)
| ~ subnetstr(X137,X135,X136)
| net_str(X137,X135) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_m1_yellow_6])])]) ).
cnf(c_0_10,plain,
( related(X1,X3,X4)
| ~ rel_str(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(X2,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_11,negated_conjecture,
related(esk21_0,esk24_0,esk25_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_12,negated_conjecture,
esk22_0 = esk24_0,
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_13,negated_conjecture,
element(esk24_0,the_carrier(esk21_0)),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_14,plain,
! [X131,X132] :
( ~ one_sorted_str(X131)
| ~ net_str(X132,X131)
| rel_str(X132) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_waybel_0])])]) ).
cnf(c_0_15,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_8]) ).
cnf(c_0_16,plain,
( net_str(X3,X1)
| ~ one_sorted_str(X1)
| ~ net_str(X2,X1)
| ~ subnetstr(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_17,negated_conjecture,
~ related(esk20_0,esk22_0,esk23_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_18,negated_conjecture,
esk23_0 = esk25_0,
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_19,plain,
( related(X1,X2,X3)
| ~ related(X4,X2,X3)
| ~ rel_str(X1)
| ~ subrelstr(X4,X1)
| ~ element(X3,the_carrier(X4))
| ~ element(X2,the_carrier(X4))
| ~ element(X3,the_carrier(X1))
| ~ element(X2,the_carrier(X1)) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_10])]) ).
cnf(c_0_20,negated_conjecture,
related(esk21_0,esk22_0,esk25_0),
inference(rw,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_21,negated_conjecture,
element(esk25_0,the_carrier(esk21_0)),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_22,negated_conjecture,
element(esk22_0,the_carrier(esk21_0)),
inference(rw,[status(thm)],[c_0_13,c_0_12]) ).
cnf(c_0_23,plain,
( rel_str(X2)
| ~ one_sorted_str(X1)
| ~ net_str(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_24,negated_conjecture,
net_str(esk20_0,esk19_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_25,negated_conjecture,
one_sorted_str(esk19_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_26,plain,
( subrelstr(X1,X2)
| ~ subnetstr(X1,X3,X2)
| ~ net_str(X2,X3)
| ~ one_sorted_str(X3) ),
inference(csr,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_27,negated_conjecture,
subnetstr(esk21_0,esk19_0,esk20_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_28,negated_conjecture,
element(esk23_0,the_carrier(esk20_0)),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_29,negated_conjecture,
~ related(esk20_0,esk22_0,esk25_0),
inference(rw,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_30,negated_conjecture,
( related(X1,esk22_0,esk25_0)
| ~ rel_str(X1)
| ~ subrelstr(esk21_0,X1)
| ~ element(esk25_0,the_carrier(X1))
| ~ element(esk22_0,the_carrier(X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21]),c_0_22])]) ).
cnf(c_0_31,negated_conjecture,
rel_str(esk20_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25])]) ).
cnf(c_0_32,negated_conjecture,
subrelstr(esk21_0,esk20_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_24]),c_0_25])]) ).
cnf(c_0_33,negated_conjecture,
element(esk25_0,the_carrier(esk20_0)),
inference(rw,[status(thm)],[c_0_28,c_0_18]) ).
cnf(c_0_34,negated_conjecture,
element(esk22_0,the_carrier(esk20_0)),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_35,negated_conjecture,
$false,
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_29,c_0_30]),c_0_31]),c_0_32]),c_0_33]),c_0_34])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU374+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
% 0.15/0.32 % Computer : n017.cluster.edu
% 0.15/0.32 % Model : x86_64 x86_64
% 0.15/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.32 % Memory : 8042.1875MB
% 0.15/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.32 % CPULimit : 300
% 0.15/0.32 % WCLimit : 300
% 0.15/0.32 % DateTime : Tue May 5 02:59:12 EDT 2026
% 0.15/0.32 % CPUTime :
% 0.15/0.33 % start to proof: theBenchmark
% 1.26/1.71 % Version : CSE_E---1.7
% 1.26/1.71 % Problem : theBenchmark.p
% 1.26/1.71 % SZS status Theorem for theBenchmark.p
% 1.26/1.71 % SZS output start CNFRefutation
% See solution above
% 1.26/1.71 % Total time : 1.371s
%------------------------------------------------------------------------------