%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SEU373+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n015.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 02:29:09 PM UTC 2026
% Result : Theorem 0.34s 0.72s
% Output : CNFRefutation 0.34s
% 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)
<=> ( 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/sandbox/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/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_InternalRel(X2),the_InternalRel(X1))
& subset(the_carrier(X2),the_carrier(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,
! [X51,X52,X53] :
( ( ~ one_sorted_str(X51)
| ~ net_str(X52,X51)
| ~ net_str(X53,X51)
| subnetstr(X53,X51,X52)
| the_mapping(X51,X53) != relation_dom_restr_as_relation_of(the_carrier(X52),the_carrier(X51),the_mapping(X51,X52),the_carrier(X53))
| ~ subrelstr(X53,X52) )
& ( ~ one_sorted_str(X51)
| ~ net_str(X52,X51)
| ~ net_str(X53,X51)
| ~ subnetstr(X53,X51,X52)
| the_mapping(X51,X53) = relation_dom_restr_as_relation_of(the_carrier(X52),the_carrier(X51),the_mapping(X51,X52),the_carrier(X53)) )
& ( ~ one_sorted_str(X51)
| ~ net_str(X52,X51)
| ~ net_str(X53,X51)
| ~ subnetstr(X53,X51,X52)
| subrelstr(X53,X52) ) ),
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_7,plain,
! [X54,X55,X56] :
( net_str(X56,X54)
| ~ subnetstr(X56,X54,X55)
| ~ net_str(X55,X54)
| ~ one_sorted_str(X54) ),
inference(fof_nnf,[status(thm)],[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,
! [X189,X190] :
( ( ~ rel_str(X189)
| ~ rel_str(X190)
| subrelstr(X190,X189)
| ~ subset(the_InternalRel(X190),the_InternalRel(X189))
| ~ subset(the_carrier(X190),the_carrier(X189)) )
& ( ~ rel_str(X189)
| ~ rel_str(X190)
| ~ subrelstr(X190,X189)
| subset(the_InternalRel(X190),the_InternalRel(X189)) )
& ( ~ rel_str(X189)
| ~ rel_str(X190)
| ~ subrelstr(X190,X189)
| subset(the_carrier(X190),the_carrier(X189)) ) ),
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_10,plain,
! [X191,X192] :
( rel_str(X192)
| ~ subrelstr(X192,X191)
| ~ rel_str(X191) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_m1_yellow_0])])])]) ).
cnf(c_0_11,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_6]) ).
cnf(c_0_12,plain,
( ~ subnetstr(X3,X1,X2)
| ~ net_str(X2,X1)
| ~ one_sorted_str(X1)
| net_str(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_13,negated_conjecture,
( ~ subset(the_carrier(esk3_0),the_carrier(esk2_0))
& subnetstr(esk3_0,esk1_0,esk2_0)
& net_str(esk2_0,esk1_0)
& one_sorted_str(esk1_0) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])])]) ).
fof(c_0_14,plain,
! [X60,X61] :
( rel_str(X61)
| ~ net_str(X61,X60)
| ~ one_sorted_str(X60) ),
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,
( ~ rel_str(X2)
| ~ rel_str(X1)
| ~ subrelstr(X1,X2)
| subset(the_carrier(X1),the_carrier(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_16,plain,
( ~ subrelstr(X2,X1)
| ~ rel_str(X1)
| rel_str(X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_17,plain,
( ~ one_sorted_str(X3)
| ~ net_str(X2,X3)
| ~ subnetstr(X1,X3,X2)
| subrelstr(X1,X2) ),
inference(csr,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_18,negated_conjecture,
subnetstr(esk3_0,esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_19,negated_conjecture,
net_str(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_20,negated_conjecture,
one_sorted_str(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_21,plain,
( ~ net_str(X2,X1)
| ~ one_sorted_str(X1)
| rel_str(X2) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_22,plain,
( ~ rel_str(X2)
| ~ subrelstr(X1,X2)
| subset(the_carrier(X1),the_carrier(X2)) ),
inference(csr,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_23,negated_conjecture,
subrelstr(esk3_0,esk2_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(esk2_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(esk3_0),the_carrier(esk2_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
% 0.00/0.05 % Problem : SEU373+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.08 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.21/0.46 % Computer : n015.cluster.edu
% 0.21/0.46 % Model : x86_64 x86_64
% 0.21/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.21/0.46 % Memory : 8046.5625MB
% 0.21/0.46 % OS : Linux 6.8.0-71-generic
% 0.21/0.46 % CPULimit : 300
% 0.21/0.46 % WCLimit : 300
% 0.21/0.46 % DateTime : Mon Sep 21 06:20:20 UTC 2026
% 0.21/0.46 % CPUTime :
% 0.21/0.46 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.24/0.52 Running first-order theorem proving
% 0.24/0.52 Running: /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p
% 0.34/0.72 % Version: 3.5.1
% 0.34/0.72 % Preprocessing class: FSLMSMSSSSSNFFN.
% 0.34/0.72 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.34/0.72 % Starting G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y with 900s (3) cores
% 0.34/0.72 % Starting new_bool_3 with 600s (2) cores
% 0.34/0.72 % Starting new_bool_1 with 600s (2) cores
% 0.34/0.72 % Starting sh5l with 300s (1) cores
% 0.34/0.72 % new_bool_1 with pid 743357 completed with status 0
% 0.34/0.72 % Result found by new_bool_1
% 0.34/0.72 % Preprocessing class: FSLMSMSSSSSNFFN.
% 0.34/0.72 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.34/0.72 % Starting G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y with 900s (3) cores
% 0.34/0.72 % Starting new_bool_3 with 600s (2) cores
% 0.34/0.72 % Starting new_bool_1 with 600s (2) cores
% 0.34/0.72 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.34/0.72 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.34/0.72 % Search class: FGHSM-FSLM32-SFFFFFNN
% 0.34/0.72 % Scheduled 7 strats onto 2 cores with 600 seconds (600 total)
% 0.34/0.72 % Starting SubtermCWHack with 55s (1) cores
% 0.34/0.72 % Starting new_bool_1 with 61s (1) cores
% 0.34/0.72 % SubtermCWHack with pid 743359 completed with status 0
% 0.34/0.72 % Result found by SubtermCWHack
% 0.34/0.72 % Preprocessing class: FSLMSMSSSSSNFFN.
% 0.34/0.72 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.34/0.72 % Starting G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y with 900s (3) cores
% 0.34/0.72 % Starting new_bool_3 with 600s (2) cores
% 0.34/0.72 % Starting new_bool_1 with 600s (2) cores
% 0.34/0.72 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.34/0.72 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.34/0.72 % Search class: FGHSM-FSLM32-SFFFFFNN
% 0.34/0.72 % Scheduled 7 strats onto 2 cores with 600 seconds (600 total)
% 0.34/0.72 % Starting SubtermCWHack with 55s (1) cores
% 0.34/0.72 % Preprocessing time : 0.009 s
% 0.34/0.72
% 0.34/0.72 % Proof found!
% 0.34/0.72 % SZS status Theorem
% 0.34/0.72 % SZS output start CNFRefutation
% See solution above
% 0.34/0.72 % Parsed axioms : 764
% 0.34/0.72 % Removed by relevancy pruning/SinE : 650
% 0.34/0.72 % Initial clauses : 324
% 0.34/0.72 % Removed in clause preprocessing : 4
% 0.34/0.72 % Initial clauses in saturation : 320
% 0.34/0.72 % Processed clauses : 958
% 0.34/0.72 % ...of these trivial : 8
% 0.34/0.72 % ...subsumed : 487
% 0.34/0.72 % ...remaining for further processing : 463
% 0.34/0.72 % Other redundant clauses eliminated : 33
% 0.34/0.72 % Clauses deleted for lack of memory : 0
% 0.34/0.72 % Backward-subsumed : 10
% 0.34/0.72 % Backward-rewritten : 19
% 0.34/0.72 % Generated clauses : 3320
% 0.34/0.72 % ...of the previous two non-redundant : 2160
% 0.34/0.72 % ...aggressively subsumed : 0
% 0.34/0.72 % Contextual simplify-reflections : 3
% 0.34/0.72 % Paramodulations : 3280
% 0.34/0.72 % Factorizations : 2
% 0.34/0.72 % NegExts : 0
% 0.34/0.72 % Equation resolutions : 35
% 0.34/0.72 % Disequality decompositions : 0
% 0.34/0.72 % Total rewrite steps : 1835
% 0.34/0.72 % ...of those cached : 1732
% 0.34/0.72 % Propositional unsat checks : 0
% 0.34/0.72 % Propositional check models : 0
% 0.34/0.72 % Propositional check unsatisfiable : 0
% 0.34/0.72 % Propositional clauses : 0
% 0.34/0.72 % Propositional clauses after purity: 0
% 0.34/0.72 % Propositional unsat core size : 0
% 0.34/0.72 % Propositional preprocessing time : 0.000
% 0.34/0.72 % Propositional encoding time : 0.000
% 0.34/0.72 % Propositional solver time : 0.000
% 0.34/0.72 % Success case prop preproc time : 0.000
% 0.34/0.72 % Success case prop encoding time : 0.000
% 0.34/0.72 % Success case prop solver time : 0.000
% 0.34/0.72 % Current number of processed clauses : 421
% 0.34/0.72 % Positive orientable unit clauses : 96
% 0.34/0.72 % Positive unorientable unit clauses: 0
% 0.34/0.72 % Negative unit clauses : 20
% 0.34/0.72 % Non-unit-clauses : 305
% 0.34/0.72 % Current number of unprocessed clauses: 1465
% 0.34/0.72 % ...number of literals in the above : 4728
% 0.34/0.72 % Current number of archived formulas : 0
% 0.34/0.72 % Current number of archived clauses : 32
% 0.34/0.72 % Clause-clause subsumption calls (NU) : 28262
% 0.34/0.72 % Rec. Clause-clause subsumption calls : 20653
% 0.34/0.72 % Non-unit clause-clause subsumptions : 366
% 0.34/0.72 % Unit Clause-clause subsumption calls : 1129
% 0.34/0.72 % Rewrite failures with RHS unbound : 0
% 0.34/0.72 % BW rewrite match attempts : 44
% 0.34/0.72 % BW rewrite match successes : 14
% 0.34/0.72 % Condensation attempts : 0
% 0.34/0.72 % Condensation successes : 0
% 0.34/0.72 % Termbank termtop insertions : 63981
% 0.34/0.72 % Search garbage collected termcells : 10238
% 0.34/0.72
% 0.34/0.72 % -------------------------------------------------
% 0.34/0.72 % User time : 0.112 s
% 0.34/0.72 % System time : 0.017 s
% 0.34/0.72 % Total time : 0.129 s
% 0.34/0.72 % Maximum resident set size: 5468 pages
% 0.34/0.72
% 0.34/0.72 % -------------------------------------------------
% 0.34/0.72 % User time : 0.251 s
% 0.34/0.72 % System time : 0.034 s
% 0.34/0.72 % Total time : 0.285 s
% 0.34/0.72 % Maximum resident set size: 5888 pages
% 0.34/0.72 % E exiting
%------------------------------------------------------------------------------