%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : ITP018_4 : TPTP v9.3.1. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n004.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 12:53:46 PM UTC 2026
% Result : Theorem 25.63s 20.54s
% Output : CNFRefutation 25.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 11 ( 11 unt; 0 typ; 0 def)
% Number of atoms : 11 ( 10 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 11 ( 3 avg)
% Number of types : 4 ( 4 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 4 con; 0-2 aty)
% Number of variables : 19 ( 0 sgn 19 !; 0 ?; 19 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_sort1,type,
u: $tType ).
tff(decl_sort2,type,
d: $tType ).
tff(decl_sort3,type,
du: $tType ).
tff(decl_sort4,type,
mono_2Etyop_2Erealax_2Ereal: $tType ).
tff(decl_25,type,
s: ( u * d ) > du ).
tff(decl_65,type,
tyop_2Ebool_2Eitself: d > d ).
tff(decl_104,type,
c_2Ebool_2Ethe__value_2E0: u ).
tff(decl_496,type,
tyop_2Epair_2Eprod: ( d * d ) > d ).
tff(decl_8585,type,
tyop_2Erealax_2Ereal: d ).
tff(decl_8690,type,
mono_2Ec_2Erealax_2Ereal__neg_2E1: mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Erealax_2Ereal ).
tff(decl_8765,type,
j_mono_2Etyop_2Erealax_2Ereal: du > mono_2Etyop_2Erealax_2Ereal ).
tff(decl_10891,type,
tyop_2Ebinary__ieee_2Efloat: ( d * d ) > d ).
tff(decl_11037,type,
c_2Ebinary__ieee_2Efloat__negate_2E1: du > u ).
tff(decl_11041,type,
c_2Ebinary__ieee_2Efloat__plus__min_2E1: du > u ).
tff(decl_11063,type,
c_2Ebinary__ieee_2Efloat__to__real_2E1: du > u ).
tff(decl_11112,type,
c_2Ebinary__ieee_2Eulp_2E1: du > u ).
tff(decl_11544,type,
esk1_0: d ).
tff(decl_11545,type,
esk2_0: d ).
tff(thm_2Ebinary__ieee_2Eneg__ulp,conjecture,
! [X38563: d,X38565: d] : ( mono_2Ec_2Erealax_2Ereal__neg_2E1(j_mono_2Etyop_2Erealax_2Ereal(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X38563,X38565)),c_2Ebool_2Ethe__value_2E0))))) = j_mono_2Etyop_2Erealax_2Ereal(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(X38563,X38565),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(X38563,X38565),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X38563,X38565)),c_2Ebool_2Ethe__value_2E0)))))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Ebinary__ieee_2Eneg__ulp) ).
tff(thm_2Ebinary__ieee_2Efloat__to__real__negate,axiom,
! [X1: d,X2: d,X9: u] : ( j_mono_2Etyop_2Erealax_2Ereal(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(X1,X2),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(X1,X2),X9)))))) = mono_2Ec_2Erealax_2Ereal__neg_2E1(j_mono_2Etyop_2Erealax_2Ereal(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(X1,X2),X9))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Ebinary__ieee_2Efloat__to__real__negate) ).
tff(thm_2Ebinary__ieee_2Eulp,axiom,
! [X38563: d,X38565: d] : ( j_mono_2Etyop_2Erealax_2Ereal(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X38563,X38565)),c_2Ebool_2Ethe__value_2E0)))) = j_mono_2Etyop_2Erealax_2Ereal(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(X38563,X38565),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X38563,X38565)),c_2Ebool_2Ethe__value_2E0)))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Ebinary__ieee_2Eulp) ).
tff(c_0_3,negated_conjecture,
~ ! [X38563: d,X38565: d] : ( mono_2Ec_2Erealax_2Ereal__neg_2E1(j_mono_2Etyop_2Erealax_2Ereal(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X38563,X38565)),c_2Ebool_2Ethe__value_2E0))))) = j_mono_2Etyop_2Erealax_2Ereal(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(X38563,X38565),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(X38563,X38565),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X38563,X38565)),c_2Ebool_2Ethe__value_2E0)))))))) ),
inference(assume_negation,[status(cth)],[thm_2Ebinary__ieee_2Eneg__ulp]) ).
tff(c_0_4,negated_conjecture,
mono_2Ec_2Erealax_2Ereal__neg_2E1(j_mono_2Etyop_2Erealax_2Ereal(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(esk1_0,esk2_0)),c_2Ebool_2Ethe__value_2E0))))) != j_mono_2Etyop_2Erealax_2Ereal(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(esk1_0,esk2_0),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(esk1_0,esk2_0),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(esk1_0,esk2_0)),c_2Ebool_2Ethe__value_2E0)))))))),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])]) ).
tff(c_0_5,plain,
! [X57687: d,X57688: d,X57689: u] : ( j_mono_2Etyop_2Erealax_2Ereal(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(X57687,X57688),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(X57687,X57688),X57689)))))) = mono_2Ec_2Erealax_2Ereal__neg_2E1(j_mono_2Etyop_2Erealax_2Ereal(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(X57687,X57688),X57689))))) ),
inference(variable_rename,[status(thm)],[thm_2Ebinary__ieee_2Efloat__to__real__negate]) ).
tff(c_0_6,plain,
! [X58267: d,X58268: d] : ( j_mono_2Etyop_2Erealax_2Ereal(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X58267,X58268)),c_2Ebool_2Ethe__value_2E0)))) = j_mono_2Etyop_2Erealax_2Ereal(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(X58267,X58268),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X58267,X58268)),c_2Ebool_2Ethe__value_2E0)))))) ),
inference(variable_rename,[status(thm)],[thm_2Ebinary__ieee_2Eulp]) ).
tcf(c_0_7,negated_conjecture,
mono_2Ec_2Erealax_2Ereal__neg_2E1(j_mono_2Etyop_2Erealax_2Ereal(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(esk1_0,esk2_0)),c_2Ebool_2Ethe__value_2E0))))) != j_mono_2Etyop_2Erealax_2Ereal(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(esk1_0,esk2_0),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(esk1_0,esk2_0),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(esk1_0,esk2_0)),c_2Ebool_2Ethe__value_2E0)))))))),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
tcf(c_0_8,plain,
! [X1: d,X2: d,X3: u] : j_mono_2Etyop_2Erealax_2Ereal(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(X1,X2),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(X1,X2),X3)))))) = mono_2Ec_2Erealax_2Ereal__neg_2E1(j_mono_2Etyop_2Erealax_2Ereal(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(X1,X2),X3))))),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
tcf(c_0_9,plain,
! [X1: d,X2: d] : j_mono_2Etyop_2Erealax_2Ereal(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X1,X2)),c_2Ebool_2Ethe__value_2E0)))) = j_mono_2Etyop_2Erealax_2Ereal(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(X1,X2),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X1,X2)),c_2Ebool_2Ethe__value_2E0)))))),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_7,c_0_8]),c_0_9])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ITP018_4 : TPTP v9.3.1. Bugfixed v7.5.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.37 % Computer : n004.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 20 21:51:09 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.41 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
% 25.63/20.54 % Version: 3.5.1
% 25.63/20.54 % Preprocessing class: FMLLSMLLSSSNFFN.
% 25.63/20.54 % Scheduled 4 strats onto 8 cores with 285 seconds (2280 total)
% 25.63/20.54 % Starting new_bool_3 with 855s (3) cores
% 25.63/20.54 % Starting new_bool_1 with 855s (3) cores
% 25.63/20.54 % Starting sh5l with 285s (1) cores
% 25.63/20.54 % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 285s (1) cores
% 25.63/20.54 % new_bool_3 with pid 1538928 completed with status 0
% 25.63/20.54 % Result found by new_bool_3
% 25.63/20.54 % Preprocessing class: FMLLSMLLSSSNFFN.
% 25.63/20.54 % Scheduled 4 strats onto 8 cores with 285 seconds (2280 total)
% 25.63/20.54 % Starting new_bool_3 with 855s (3) cores
% 25.63/20.54 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 25.63/20.54 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 25.63/20.54 % Search class: FGHSM-SMLM33-DFFFFFNN
% 25.63/20.54 % Scheduled 7 strats onto 3 cores with 852 seconds (852 total)
% 25.63/20.54 % Starting SubtermCWHack with 77s (1) cores
% 25.63/20.54 % Starting new_bool_3 with 86s (1) cores
% 25.63/20.54 % Starting U----_206e_00_B11_00_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 77s (1) cores
% 25.63/20.54 % new_bool_3 with pid 1538933 completed with status 0
% 25.63/20.54 % Result found by new_bool_3
% 25.63/20.54 % Preprocessing class: FMLLSMLLSSSNFFN.
% 25.63/20.54 % Scheduled 4 strats onto 8 cores with 285 seconds (2280 total)
% 25.63/20.54 % Starting new_bool_3 with 855s (3) cores
% 25.63/20.54 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 25.63/20.54 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 25.63/20.54 % Search class: FGHSM-SMLM33-DFFFFFNN
% 25.63/20.54 % Scheduled 7 strats onto 3 cores with 852 seconds (852 total)
% 25.63/20.54 % Starting SubtermCWHack with 77s (1) cores
% 25.63/20.54 % Starting new_bool_3 with 86s (1) cores
% 25.63/20.54 % Preprocessing time : 0.439 s
% 25.63/20.54 % Presaturation interreduction done
% 25.63/20.54
% 25.63/20.54 % Proof found!
% 25.63/20.54 % SZS status Theorem
% 25.63/20.54 % SZS output start CNFRefutation
% See solution above
% 25.63/20.54 % Parsed axioms : 70414
% 25.63/20.54 % Removed by relevancy pruning/SinE : 66431
% 25.63/20.54 % Initial clauses : 6892
% 25.63/20.54 % Removed in clause preprocessing : 1102
% 25.63/20.54 % Initial clauses in saturation : 5790
% 25.63/20.54 % Processed clauses : 2225
% 25.63/20.54 % ...of these trivial : 766
% 25.63/20.54 % ...subsumed : 757
% 25.63/20.54 % ...remaining for further processing : 702
% 25.63/20.54 % Other redundant clauses eliminated : 139
% 25.63/20.54 % Clauses deleted for lack of memory : 0
% 25.63/20.54 % Backward-subsumed : 3
% 25.63/20.54 % Backward-rewritten : 40
% 25.63/20.54 % Generated clauses : 129
% 25.63/20.54 % ...of the previous two non-redundant : 64
% 25.63/20.54 % ...aggressively subsumed : 0
% 25.63/20.54 % Contextual simplify-reflections : 0
% 25.63/20.54 % Paramodulations : 0
% 25.63/20.54 % Factorizations : 0
% 25.63/20.54 % NegExts : 0
% 25.63/20.54 % Equation resolutions : 139
% 25.63/20.54 % Disequality decompositions : 0
% 25.63/20.54 % Total rewrite steps : 1314
% 25.63/20.54 % ...of those cached : 1090
% 25.63/20.54 % Propositional unsat checks : 0
% 25.63/20.54 % Propositional check models : 0
% 25.63/20.54 % Propositional check unsatisfiable : 0
% 25.63/20.54 % Propositional clauses : 0
% 25.63/20.54 % Propositional clauses after purity: 0
% 25.63/20.54 % Propositional unsat core size : 0
% 25.63/20.54 % Propositional preprocessing time : 0.000
% 25.63/20.54 % Propositional encoding time : 0.000
% 25.63/20.54 % Propositional solver time : 0.000
% 25.63/20.54 % Success case prop preproc time : 0.000
% 25.63/20.54 % Success case prop encoding time : 0.000
% 25.63/20.54 % Success case prop solver time : 0.000
% 25.63/20.54 % Current number of processed clauses : 530
% 25.63/20.54 % Positive orientable unit clauses : 170
% 25.63/20.54 % Positive unorientable unit clauses: 10
% 25.63/20.54 % Negative unit clauses : 105
% 25.63/20.54 % Non-unit-clauses : 245
% 25.63/20.54 % Current number of unprocessed clauses: 3629
% 25.63/20.54 % ...number of literals in the above : 9190
% 25.63/20.54 % Current number of archived formulas : 0
% 25.63/20.54 % Current number of archived clauses : 43
% 25.63/20.54 % Clause-clause subsumption calls (NU) : 34978
% 25.63/20.54 % Rec. Clause-clause subsumption calls : 10093
% 25.63/20.54 % Non-unit clause-clause subsumptions : 524
% 25.63/20.54 % Unit Clause-clause subsumption calls : 3571
% 25.63/20.54 % Rewrite failures with RHS unbound : 6
% 25.63/20.54 % BW rewrite match attempts : 189
% 25.63/20.54 % BW rewrite match successes : 126
% 25.63/20.54 % Condensation attempts : 0
% 25.63/20.54 % Condensation successes : 0
% 25.63/20.54 % Termbank termtop insertions : 2075165
% 25.63/20.54 % Search garbage collected termcells : 530840
% 25.63/20.54
% 25.63/20.54 % -------------------------------------------------
% 25.63/20.54 % User time : 3.910 s
% 25.63/20.54 % System time : 0.264 s
% 25.63/20.54 % Total time : 4.174 s
% 25.63/20.54 % Maximum resident set size: 137916 pages
% 25.63/20.54
% 25.63/20.54 % -------------------------------------------------
% 25.63/20.54 % User time : 20.465 s
% 25.63/20.54 % System time : 0.801 s
% 25.63/20.54 % Total time : 21.266 s
% 25.63/20.54 % Maximum resident set size: 115580 pages
% 25.63/20.54 % E exiting
%------------------------------------------------------------------------------