%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SEU374+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n008.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 02:24:54 PM UTC 2026
% Result : Theorem 0.14s 0.51s
% Output : CNFRefutation 0.14s
% 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))
=> ( ( related(X3,X6,X7)
& X5 = X7
& X4 = X6 )
=> 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))
=> ( ( related(X2,X5,X6)
& X6 = X4
& X5 = X3 )
=> 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)
<=> ( the_mapping(X1,X3) = relation_dom_restr_as_relation_of(the_carrier(X2),the_carrier(X1),the_mapping(X1,X2),the_carrier(X3))
& subrelstr(X3,X2) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d8_yellow_6) ).
fof(dt_m1_yellow_6,axiom,
! [X1,X2] :
( ( net_str(X2,X1)
& one_sorted_str(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))
=> ( ( related(X3,X6,X7)
& X5 = X7
& X4 = X6 )
=> related(X2,X4,X5) ) ) ) ) ) ) ) ),
inference(assume_negation,[status(cth)],[t20_yellow_6]) ).
fof(c_0_6,plain,
! [X101,X102,X103,X104,X105,X106] :
( related(X101,X103,X104)
| ~ related(X102,X105,X106)
| X106 != X104
| X105 != X103
| ~ element(X106,the_carrier(X102))
| ~ element(X105,the_carrier(X102))
| ~ element(X104,the_carrier(X101))
| ~ element(X103,the_carrier(X101))
| ~ subrelstr(X102,X101)
| ~ rel_str(X101) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t60_yellow_0])])])]) ).
fof(c_0_7,negated_conjecture,
( ~ related(esk20_0,esk22_0,esk23_0)
& related(esk21_0,esk24_0,esk25_0)
& esk23_0 = esk25_0
& esk22_0 = esk24_0
& element(esk25_0,the_carrier(esk21_0))
& element(esk24_0,the_carrier(esk21_0))
& element(esk23_0,the_carrier(esk20_0))
& element(esk22_0,the_carrier(esk20_0))
& subnetstr(esk21_0,esk19_0,esk20_0)
& net_str(esk20_0,esk19_0)
& one_sorted_str(esk19_0) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])]) ).
fof(c_0_8,plain,
! [X16,X17,X18] :
( ( ~ one_sorted_str(X16)
| ~ net_str(X17,X16)
| ~ net_str(X18,X16)
| subnetstr(X18,X16,X17)
| the_mapping(X16,X18) != relation_dom_restr_as_relation_of(the_carrier(X17),the_carrier(X16),the_mapping(X16,X17),the_carrier(X18))
| ~ subrelstr(X18,X17) )
& ( ~ one_sorted_str(X16)
| ~ net_str(X17,X16)
| ~ net_str(X18,X16)
| ~ subnetstr(X18,X16,X17)
| the_mapping(X16,X18) = relation_dom_restr_as_relation_of(the_carrier(X17),the_carrier(X16),the_mapping(X16,X17),the_carrier(X18)) )
& ( ~ one_sorted_str(X16)
| ~ net_str(X17,X16)
| ~ net_str(X18,X16)
| ~ subnetstr(X18,X16,X17)
| subrelstr(X18,X17) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[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,
! [X30,X31,X32] :
( net_str(X32,X30)
| ~ subnetstr(X32,X30,X31)
| ~ net_str(X31,X30)
| ~ one_sorted_str(X30) ),
inference(fof_nnf,[status(thm)],[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(X2,X5,X6)
| X6 != X4
| X5 != X3
| ~ element(X6,the_carrier(X2))
| ~ element(X5,the_carrier(X2))
| ~ element(X4,the_carrier(X1))
| ~ element(X3,the_carrier(X1))
| ~ subrelstr(X2,X1)
| ~ rel_str(X1)
| related(X1,X3,X4) ),
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,
! [X26,X27] :
( rel_str(X27)
| ~ net_str(X27,X26)
| ~ one_sorted_str(X26) ),
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_15,plain,
( ~ one_sorted_str(X3)
| ~ net_str(X2,X3)
| ~ net_str(X1,X3)
| ~ subnetstr(X1,X3,X2)
| subrelstr(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_16,plain,
( ~ subnetstr(X3,X1,X2)
| ~ net_str(X2,X1)
| ~ one_sorted_str(X1)
| net_str(X3,X1) ),
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,
( ~ element(X2,the_carrier(X1))
| ~ element(X3,the_carrier(X1))
| ~ element(X2,the_carrier(X4))
| ~ element(X3,the_carrier(X4))
| ~ subrelstr(X4,X1)
| ~ rel_str(X1)
| ~ related(X4,X2,X3)
| related(X1,X2,X3) ),
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,
( ~ net_str(X2,X1)
| ~ one_sorted_str(X1)
| rel_str(X2) ),
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,
( ~ one_sorted_str(X3)
| ~ net_str(X2,X3)
| ~ subnetstr(X1,X3,X2)
| subrelstr(X1,X2) ),
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,
( ~ element(esk22_0,the_carrier(X1))
| ~ element(esk25_0,the_carrier(X1))
| ~ subrelstr(esk21_0,X1)
| ~ rel_str(X1)
| related(X1,esk22_0,esk25_0) ),
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
% 0.00/0.03 % Problem : SEU374+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n008.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 06:17:54 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.43 Running first-order theorem proving
% 0.14/0.43 Running: /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p
% 0.14/0.51 % Version: 3.5.1
% 0.14/0.51 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.14/0.51 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.51 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.14/0.51 % Starting new_bool_3 with 300s (1) cores
% 0.14/0.51 % Starting new_bool_1 with 300s (1) cores
% 0.14/0.51 % Starting sh5l with 300s (1) cores
% 0.14/0.51 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 321391 completed with status 0
% 0.14/0.51 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.14/0.51 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.14/0.51 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.51 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.14/0.51 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.14/0.51 % No SInE strategy applied
% 0.14/0.51 % Search class: FGHSM-FFMM31-SFFFFFNN
% 0.14/0.51 % Scheduled 11 strats onto 5 cores with 1500 seconds (1500 total)
% 0.14/0.51 % Starting SubtermCWHack with 136s (1) cores
% 0.14/0.51 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.14/0.51 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S4b with 136s (1) cores
% 0.14/0.51 % Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S0Y with 136s (1) cores
% 0.14/0.51 % Starting G-E--_208_B07----D_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.14/0.51 % G-E--_302_C18_F1_URBAN_S5PRR_RG_S0Y with pid 321398 completed with status 0
% 0.14/0.51 % Result found by G-E--_302_C18_F1_URBAN_S5PRR_RG_S0Y
% 0.14/0.51 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.14/0.51 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.51 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.14/0.51 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.14/0.51 % No SInE strategy applied
% 0.14/0.51 % Search class: FGHSM-FFMM31-SFFFFFNN
% 0.14/0.51 % Scheduled 11 strats onto 5 cores with 1500 seconds (1500 total)
% 0.14/0.51 % Starting SubtermCWHack with 136s (1) cores
% 0.14/0.51 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.14/0.51 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S4b with 136s (1) cores
% 0.14/0.51 % Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S0Y with 136s (1) cores
% 0.14/0.51 % Preprocessing time : 0.003 s
% 0.14/0.51
% 0.14/0.51 % Proof found!
% 0.14/0.51 % SZS status Theorem
% 0.14/0.51 % SZS output start CNFRefutation
% See solution above
% 0.14/0.51 % Parsed axioms : 58
% 0.14/0.51 % Removed by relevancy pruning/SinE : 0
% 0.14/0.51 % Initial clauses : 95
% 0.14/0.51 % Removed in clause preprocessing : 9
% 0.14/0.51 % Initial clauses in saturation : 86
% 0.14/0.51 % Processed clauses : 159
% 0.14/0.51 % ...of these trivial : 2
% 0.14/0.51 % ...subsumed : 18
% 0.14/0.51 % ...remaining for further processing : 139
% 0.14/0.51 % Other redundant clauses eliminated : 2
% 0.14/0.51 % Clauses deleted for lack of memory : 0
% 0.14/0.51 % Backward-subsumed : 1
% 0.14/0.51 % Backward-rewritten : 9
% 0.14/0.51 % Generated clauses : 122
% 0.14/0.51 % ...of the previous two non-redundant : 106
% 0.14/0.51 % ...aggressively subsumed : 0
% 0.14/0.51 % Contextual simplify-reflections : 5
% 0.14/0.51 % Paramodulations : 121
% 0.14/0.51 % Factorizations : 0
% 0.14/0.51 % NegExts : 0
% 0.14/0.51 % Equation resolutions : 2
% 0.14/0.51 % Disequality decompositions : 0
% 0.14/0.51 % Total rewrite steps : 44
% 0.14/0.51 % ...of those cached : 25
% 0.14/0.51 % Propositional unsat checks : 0
% 0.14/0.51 % Propositional check models : 0
% 0.14/0.51 % Propositional check unsatisfiable : 0
% 0.14/0.51 % Propositional clauses : 0
% 0.14/0.51 % Propositional clauses after purity: 0
% 0.14/0.51 % Propositional unsat core size : 0
% 0.14/0.51 % Propositional preprocessing time : 0.000
% 0.14/0.51 % Propositional encoding time : 0.000
% 0.14/0.51 % Propositional solver time : 0.000
% 0.14/0.51 % Success case prop preproc time : 0.000
% 0.14/0.51 % Success case prop encoding time : 0.000
% 0.14/0.51 % Success case prop solver time : 0.000
% 0.14/0.51 % Current number of processed clauses : 128
% 0.14/0.51 % Positive orientable unit clauses : 51
% 0.14/0.51 % Positive unorientable unit clauses: 0
% 0.14/0.51 % Negative unit clauses : 4
% 0.14/0.51 % Non-unit-clauses : 73
% 0.14/0.51 % Current number of unprocessed clauses: 28
% 0.14/0.51 % ...number of literals in the above : 102
% 0.14/0.51 % Current number of archived formulas : 0
% 0.14/0.51 % Current number of archived clauses : 10
% 0.14/0.51 % Clause-clause subsumption calls (NU) : 1035
% 0.14/0.51 % Rec. Clause-clause subsumption calls : 608
% 0.14/0.51 % Non-unit clause-clause subsumptions : 23
% 0.14/0.51 % Unit Clause-clause subsumption calls : 102
% 0.14/0.51 % Rewrite failures with RHS unbound : 0
% 0.14/0.51 % BW rewrite match attempts : 9
% 0.14/0.51 % BW rewrite match successes : 4
% 0.14/0.51 % Condensation attempts : 0
% 0.14/0.51 % Condensation successes : 0
% 0.14/0.51 % Termbank termtop insertions : 6477
% 0.14/0.51 % Search garbage collected termcells : 911
% 0.14/0.51
% 0.14/0.51 % -------------------------------------------------
% 0.14/0.51 % User time : 0.019 s
% 0.14/0.51 % System time : 0.006 s
% 0.14/0.51 % Total time : 0.024 s
% 0.14/0.51 % Maximum resident set size: 3428 pages
% 0.14/0.51
% 0.14/0.51 % -------------------------------------------------
% 0.14/0.51 % User time : 0.107 s
% 0.14/0.51 % System time : 0.022 s
% 0.14/0.51 % Total time : 0.129 s
% 0.14/0.51 % Maximum resident set size: 4608 pages
% 0.14/0.51 % E exiting
%------------------------------------------------------------------------------