%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SEU373+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 : n001.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 02:24:53 PM UTC 2026
% Result : Theorem 0.26s 0.55s
% Output : CNFRefutation 0.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 28 ( 7 unt; 0 def)
% Number of atoms : 107 ( 3 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 134 ( 55 ~; 50 |; 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(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/sandbox2/benchmark/theBenchmark.p',t19_yellow_6) ).
fof(d13_yellow_0,axiom,
! [X1] :
( rel_str(X1)
=> ! [X2] :
( rel_str(X2)
=> ( subrelstr(X2,X1)
<=> ( subset(the_InternalRel(X2),the_InternalRel(X1))
& subset(the_carrier(X2),the_carrier(X1)) ) ) ) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',dt_l1_waybel_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(c_0_6,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_7,plain,
! [X13,X14] :
( ( ~ rel_str(X13)
| ~ rel_str(X14)
| subrelstr(X14,X13)
| ~ subset(the_InternalRel(X14),the_InternalRel(X13))
| ~ subset(the_carrier(X14),the_carrier(X13)) )
& ( ~ rel_str(X13)
| ~ rel_str(X14)
| ~ subrelstr(X14,X13)
| subset(the_InternalRel(X14),the_InternalRel(X13)) )
& ( ~ rel_str(X13)
| ~ rel_str(X14)
| ~ subrelstr(X14,X13)
| subset(the_carrier(X14),the_carrier(X13)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d13_yellow_0])])])])]) ).
fof(c_0_8,plain,
! [X27,X28] :
( rel_str(X28)
| ~ subrelstr(X28,X27)
| ~ rel_str(X27) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_m1_yellow_0])])])]) ).
fof(c_0_9,negated_conjecture,
( ~ subset(the_carrier(esk21_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_6])])])]) ).
cnf(c_0_10,plain,
( ~ rel_str(X2)
| ~ rel_str(X1)
| ~ subrelstr(X1,X2)
| subset(the_carrier(X1),the_carrier(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,plain,
( ~ subrelstr(X2,X1)
| ~ rel_str(X1)
| rel_str(X2) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
fof(c_0_12,plain,
! [X25,X26] :
( rel_str(X26)
| ~ net_str(X26,X25)
| ~ one_sorted_str(X25) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_waybel_0])])])]) ).
fof(c_0_13,plain,
! [X15,X16,X17] :
( ( ~ one_sorted_str(X15)
| ~ net_str(X16,X15)
| ~ net_str(X17,X15)
| subnetstr(X17,X15,X16)
| the_mapping(X15,X17) != relation_dom_restr_as_relation_of(the_carrier(X16),the_carrier(X15),the_mapping(X15,X16),the_carrier(X17))
| ~ subrelstr(X17,X16) )
& ( ~ one_sorted_str(X15)
| ~ net_str(X16,X15)
| ~ net_str(X17,X15)
| ~ subnetstr(X17,X15,X16)
| the_mapping(X15,X17) = relation_dom_restr_as_relation_of(the_carrier(X16),the_carrier(X15),the_mapping(X15,X16),the_carrier(X17)) )
& ( ~ one_sorted_str(X15)
| ~ net_str(X16,X15)
| ~ net_str(X17,X15)
| ~ subnetstr(X17,X15,X16)
| subrelstr(X17,X16) ) ),
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_14,plain,
! [X29,X30,X31] :
( net_str(X31,X29)
| ~ subnetstr(X31,X29,X30)
| ~ net_str(X30,X29)
| ~ one_sorted_str(X29) ),
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_15,negated_conjecture,
~ subset(the_carrier(esk21_0),the_carrier(esk20_0)),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_16,plain,
( ~ rel_str(X2)
| ~ subrelstr(X1,X2)
| subset(the_carrier(X1),the_carrier(X2)) ),
inference(csr,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_17,plain,
( ~ net_str(X2,X1)
| ~ one_sorted_str(X1)
| rel_str(X2) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_18,negated_conjecture,
net_str(esk20_0,esk19_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_19,negated_conjecture,
one_sorted_str(esk19_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_20,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_13]) ).
cnf(c_0_21,plain,
( ~ subnetstr(X3,X1,X2)
| ~ net_str(X2,X1)
| ~ one_sorted_str(X1)
| net_str(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_22,negated_conjecture,
( ~ rel_str(esk20_0)
| ~ subrelstr(esk21_0,esk20_0) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_23,negated_conjecture,
rel_str(esk20_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19])]) ).
cnf(c_0_24,plain,
( ~ one_sorted_str(X3)
| ~ net_str(X2,X3)
| ~ subnetstr(X1,X3,X2)
| subrelstr(X1,X2) ),
inference(csr,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_25,negated_conjecture,
subnetstr(esk21_0,esk19_0,esk20_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_26,negated_conjecture,
~ subrelstr(esk21_0,esk20_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_22,c_0_23])]) ).
cnf(c_0_27,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_18]),c_0_19])]),c_0_26]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SEU373+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.07 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.18/0.43 % Computer : n001.cluster.edu
% 0.18/0.43 % Model : x86_64 x86_64
% 0.18/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.43 % Memory : 8046.5625MB
% 0.18/0.43 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Mon Sep 21 06:22:30 UTC 2026
% 0.18/0.44 % CPUTime :
% 0.18/0.44 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.26/0.51 Running first-order theorem proving
% 0.26/0.51 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
% 0.26/0.55 % Version: 3.5.1
% 0.26/0.55 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.26/0.55 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.26/0.55 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.26/0.55 % Starting new_bool_3 with 300s (1) cores
% 0.26/0.55 % Starting new_bool_1 with 300s (1) cores
% 0.26/0.55 % Starting sh5l with 300s (1) cores
% 0.26/0.55 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 2376844 completed with status 0
% 0.26/0.55 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.26/0.55 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.26/0.55 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.26/0.55 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.26/0.55 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.26/0.55 % No SInE strategy applied
% 0.26/0.55 % Search class: FGHSM-FFMM31-SFFFFFNN
% 0.26/0.55 % Scheduled 11 strats onto 5 cores with 1500 seconds (1500 total)
% 0.26/0.55 % Starting SubtermCWHack with 136s (1) cores
% 0.26/0.55 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.26/0.55 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S4b with 136s (1) cores
% 0.26/0.55 % Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S0Y with 136s (1) cores
% 0.26/0.55 % Starting G-E--_208_B07----D_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.26/0.55 % G-E--_302_C18_F1_URBAN_S5PRR_RG_S0Y with pid 2376854 completed with status 0
% 0.26/0.55 % Result found by G-E--_302_C18_F1_URBAN_S5PRR_RG_S0Y
% 0.26/0.55 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.26/0.55 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.26/0.55 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.26/0.55 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.26/0.55 % No SInE strategy applied
% 0.26/0.55 % Search class: FGHSM-FFMM31-SFFFFFNN
% 0.26/0.55 % Scheduled 11 strats onto 5 cores with 1500 seconds (1500 total)
% 0.26/0.55 % Starting SubtermCWHack with 136s (1) cores
% 0.26/0.55 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.26/0.55 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S4b with 136s (1) cores
% 0.26/0.55 % Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S0Y with 136s (1) cores
% 0.26/0.55 % Preprocessing time : 0.002 s
% 0.26/0.55
% 0.26/0.55 % Proof found!
% 0.26/0.55 % SZS status Theorem
% 0.26/0.55 % SZS output start CNFRefutation
% See solution above
% 0.26/0.55 % Parsed axioms : 59
% 0.26/0.55 % Removed by relevancy pruning/SinE : 0
% 0.26/0.55 % Initial clauses : 91
% 0.26/0.55 % Removed in clause preprocessing : 9
% 0.26/0.55 % Initial clauses in saturation : 82
% 0.26/0.55 % Processed clauses : 98
% 0.26/0.55 % ...of these trivial : 2
% 0.26/0.55 % ...subsumed : 3
% 0.26/0.55 % ...remaining for further processing : 92
% 0.26/0.55 % Other redundant clauses eliminated : 0
% 0.26/0.55 % Clauses deleted for lack of memory : 0
% 0.26/0.55 % Backward-subsumed : 0
% 0.26/0.55 % Backward-rewritten : 8
% 0.26/0.55 % Generated clauses : 59
% 0.26/0.55 % ...of the previous two non-redundant : 53
% 0.26/0.55 % ...aggressively subsumed : 0
% 0.26/0.55 % Contextual simplify-reflections : 6
% 0.26/0.55 % Paramodulations : 59
% 0.26/0.55 % Factorizations : 0
% 0.26/0.55 % NegExts : 0
% 0.26/0.55 % Equation resolutions : 0
% 0.26/0.55 % Disequality decompositions : 0
% 0.26/0.55 % Total rewrite steps : 23
% 0.26/0.55 % ...of those cached : 13
% 0.26/0.55 % Propositional unsat checks : 0
% 0.26/0.55 % Propositional check models : 0
% 0.26/0.55 % Propositional check unsatisfiable : 0
% 0.26/0.55 % Propositional clauses : 0
% 0.26/0.55 % Propositional clauses after purity: 0
% 0.26/0.55 % Propositional unsat core size : 0
% 0.26/0.55 % Propositional preprocessing time : 0.000
% 0.26/0.55 % Propositional encoding time : 0.000
% 0.26/0.55 % Propositional solver time : 0.000
% 0.26/0.55 % Success case prop preproc time : 0.000
% 0.26/0.55 % Success case prop encoding time : 0.000
% 0.26/0.55 % Success case prop solver time : 0.000
% 0.26/0.55 % Current number of processed clauses : 84
% 0.26/0.55 % Positive orientable unit clauses : 33
% 0.26/0.55 % Positive unorientable unit clauses: 0
% 0.26/0.55 % Negative unit clauses : 4
% 0.26/0.55 % Non-unit-clauses : 47
% 0.26/0.55 % Current number of unprocessed clauses: 36
% 0.26/0.55 % ...number of literals in the above : 92
% 0.26/0.55 % Current number of archived formulas : 0
% 0.26/0.55 % Current number of archived clauses : 8
% 0.26/0.55 % Clause-clause subsumption calls (NU) : 381
% 0.26/0.55 % Rec. Clause-clause subsumption calls : 262
% 0.26/0.55 % Non-unit clause-clause subsumptions : 9
% 0.26/0.55 % Unit Clause-clause subsumption calls : 169
% 0.26/0.55 % Rewrite failures with RHS unbound : 0
% 0.26/0.55 % BW rewrite match attempts : 5
% 0.26/0.55 % BW rewrite match successes : 4
% 0.26/0.55 % Condensation attempts : 0
% 0.26/0.55 % Condensation successes : 0
% 0.26/0.55 % Termbank termtop insertions : 5252
% 0.26/0.55 % Search garbage collected termcells : 784
% 0.26/0.55
% 0.26/0.55 % -------------------------------------------------
% 0.26/0.55 % User time : 0.012 s
% 0.26/0.55 % System time : 0.007 s
% 0.26/0.55 % Total time : 0.019 s
% 0.26/0.55 % Maximum resident set size: 3680 pages
% 0.26/0.55
% 0.26/0.55 % -------------------------------------------------
% 0.26/0.55 % User time : 0.040 s
% 0.26/0.55 % System time : 0.026 s
% 0.26/0.55 % Total time : 0.066 s
% 0.26/0.55 % Maximum resident set size: 4608 pages
% 0.26/0.55 % E exiting
%------------------------------------------------------------------------------