%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : ITP038^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n016.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 : Wed Sep 30 08:04:10 AM UTC 2026
% Result : Theorem 0.20s 0.34s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 11 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 14 ( 0 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 71 ( 6 ~; 2 |; 0 &; 62 @)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Number of types : 4 ( 3 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 7 usr; 5 con; 0-3 aty)
% Number of variables : 12 ( 0 ^; 12 !; 0 ?; 12 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
trm_a_c: $tType ).
thf(decl_sort2,type,
set_Sum_sum_c_c: $tType ).
thf(decl_sort3,type,
produc190496183real_c: $tType ).
thf(decl_29,type,
denota1997846518gree_c: produc190496183real_c > produc190496183real_c > set_Sum_sum_c_c > $o ).
thf(decl_141,type,
static_FVDiff_a_c: trm_a_c > set_Sum_sum_c_c ).
thf(decl_155,type,
plus_a_c: trm_a_c > trm_a_c > trm_a_c ).
thf(decl_175,type,
nu: produc190496183real_c ).
thf(decl_176,type,
nu2: produc190496183real_c ).
thf(decl_177,type,
t1: trm_a_c ).
thf(decl_178,type,
t2: trm_a_c ).
thf(conj_0,conjecture,
denota1997846518gree_c @ nu @ nu2 @ ( static_FVDiff_a_c @ t2 ),
file('/export/starexec/sandbox2/tmp/tmp.ZkzP2UADr4/E---3.1_816487.p',conj_0) ).
thf(fact_1_agree__plus2,axiom,
! [X5: produc190496183real_c,X6: produc190496183real_c,X7: trm_a_c,X8: trm_a_c] :
( ( denota1997846518gree_c @ X5 @ X6 @ ( static_FVDiff_a_c @ ( plus_a_c @ X7 @ X8 ) ) )
=> ( denota1997846518gree_c @ X5 @ X6 @ ( static_FVDiff_a_c @ X8 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.ZkzP2UADr4/E---3.1_816487.p',fact_1_agree__plus2) ).
thf(fact_2_agree,axiom,
denota1997846518gree_c @ nu @ nu2 @ ( static_FVDiff_a_c @ ( plus_a_c @ t1 @ t2 ) ),
file('/export/starexec/sandbox2/tmp/tmp.ZkzP2UADr4/E---3.1_816487.p',fact_2_agree) ).
thf(c_0_3,negated_conjecture,
~ ( denota1997846518gree_c @ nu @ nu2 @ ( static_FVDiff_a_c @ t2 ) ),
inference(assume_negation,[status(cth)],[conj_0]) ).
thf(c_0_4,negated_conjecture,
~ ( denota1997846518gree_c @ nu @ nu2 @ ( static_FVDiff_a_c @ t2 ) ),
inference(fof_simplification,[status(thm)],[c_0_3]) ).
thf(c_0_5,plain,
! [X1055: produc190496183real_c,X1056: produc190496183real_c,X1057: trm_a_c,X1058: trm_a_c] :
( ~ ( denota1997846518gree_c @ X1055 @ X1056 @ ( static_FVDiff_a_c @ ( plus_a_c @ X1057 @ X1058 ) ) )
| ( denota1997846518gree_c @ X1055 @ X1056 @ ( static_FVDiff_a_c @ X1058 ) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1_agree__plus2])])]) ).
thf(c_0_6,negated_conjecture,
~ ( denota1997846518gree_c @ nu @ nu2 @ ( static_FVDiff_a_c @ t2 ) ),
inference(fof_nnf,[status(thm)],[c_0_4]) ).
thf(c_0_7,plain,
! [X5: produc190496183real_c,X6: produc190496183real_c,X7: trm_a_c,X8: trm_a_c] :
( ( denota1997846518gree_c @ X5 @ X6 @ ( static_FVDiff_a_c @ X8 ) )
| ~ ( denota1997846518gree_c @ X5 @ X6 @ ( static_FVDiff_a_c @ ( plus_a_c @ X7 @ X8 ) ) ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_8,plain,
denota1997846518gree_c @ nu @ nu2 @ ( static_FVDiff_a_c @ ( plus_a_c @ t1 @ t2 ) ),
inference(split_conjunct,[status(thm)],[fact_2_agree]) ).
thf(c_0_9,negated_conjecture,
~ ( denota1997846518gree_c @ nu @ nu2 @ ( static_FVDiff_a_c @ t2 ) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
thf(c_0_10,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_8]),c_0_9]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ITP038^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 % Computer : n016.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Tue Sep 29 19:45:04 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running higher-order theorem proving
% 0.20/0.29 Running: /export/starexec/sandbox2/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.ZkzP2UADr4/E---3.1_816487.p
% 0.20/0.34 % Version: 3.5.1-ho
% 0.20/0.34 % Preprocessing class: HSLMSMSMSSLNHFA.
% 0.20/0.34 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.34 % Starting new_ho_11 with 1500s (5) cores
% 0.20/0.34 % Starting additional_ho_5 with 300s (1) cores
% 0.20/0.34 % Starting new_ho_10_cnf2 with 300s (1) cores
% 0.20/0.34 % Starting full_lambda_7 with 300s (1) cores
% 0.20/0.34 % additional_ho_5 with pid 816501 completed with status 0
% 0.20/0.34 % Result found by additional_ho_5
% 0.20/0.34 % Preprocessing class: HSLMSMSMSSLNHFA.
% 0.20/0.34 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.34 % Starting new_ho_11 with 1500s (5) cores
% 0.20/0.34 % Starting additional_ho_5 with 300s (1) cores
% 0.20/0.34 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.20/0.34 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.20/0.34 % Search class: HGUSM-FFMM31-DHFFFSBN
% 0.20/0.34 % partial match(3): HGHSM-FSLM31-DHFFFSBN
% 0.20/0.34 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.34 % Starting SubtermCWHack with 28s (1) cores
% 0.20/0.34 % SubtermCWHack with pid 816504 completed with status 0
% 0.20/0.34 % Result found by SubtermCWHack
% 0.20/0.34 % Preprocessing class: HSLMSMSMSSLNHFA.
% 0.20/0.34 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.34 % Starting new_ho_11 with 1500s (5) cores
% 0.20/0.34 % Starting additional_ho_5 with 300s (1) cores
% 0.20/0.34 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.20/0.34 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.20/0.34 % Search class: HGUSM-FFMM31-DHFFFSBN
% 0.20/0.34 % partial match(3): HGHSM-FSLM31-DHFFFSBN
% 0.20/0.34 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.34 % Starting SubtermCWHack with 28s (1) cores
% 0.20/0.34 % Preprocessing time : 0.004 s
% 0.20/0.34
% 0.20/0.34 % Proof found!
% 0.20/0.34 % SZS status Theorem
% 0.20/0.34 % SZS output start CNFRefutation
% See solution above
% 0.20/0.34 % Parsed axioms : 558
% 0.20/0.34 % Removed by relevancy pruning/SinE : 492
% 0.20/0.34 % Initial clauses : 99
% 0.20/0.34 % Removed in clause preprocessing : 7
% 0.20/0.34 % Initial clauses in saturation : 92
% 0.20/0.34 % Processed clauses : 103
% 0.20/0.34 % ...of these trivial : 6
% 0.20/0.34 % ...subsumed : 22
% 0.20/0.34 % ...remaining for further processing : 75
% 0.20/0.34 % Other redundant clauses eliminated : 10
% 0.20/0.34 % Clauses deleted for lack of memory : 0
% 0.20/0.34 % Backward-subsumed : 1
% 0.20/0.34 % Backward-rewritten : 4
% 0.20/0.34 % Generated clauses : 85
% 0.20/0.34 % ...of the previous two non-redundant : 37
% 0.20/0.34 % ...aggressively subsumed : 0
% 0.20/0.34 % Contextual simplify-reflections : 0
% 0.20/0.34 % Paramodulations : 63
% 0.20/0.34 % Factorizations : 2
% 0.20/0.34 % NegExts : 0
% 0.20/0.34 % Equation resolutions : 16
% 0.20/0.34 % Disequality decompositions : 0
% 0.20/0.34 % Total rewrite steps : 36
% 0.20/0.34 % ...of those cached : 22
% 0.20/0.34 % Propositional unsat checks : 0
% 0.20/0.34 % Propositional check models : 0
% 0.20/0.34 % Propositional check unsatisfiable : 0
% 0.20/0.34 % Propositional clauses : 0
% 0.20/0.34 % Propositional clauses after purity: 0
% 0.20/0.34 % Propositional unsat core size : 0
% 0.20/0.34 % Propositional preprocessing time : 0.000
% 0.20/0.34 % Propositional encoding time : 0.000
% 0.20/0.34 % Propositional solver time : 0.000
% 0.20/0.34 % Success case prop preproc time : 0.000
% 0.20/0.34 % Success case prop encoding time : 0.000
% 0.20/0.34 % Success case prop solver time : 0.000
% 0.20/0.34 % Current number of processed clauses : 64
% 0.20/0.34 % Positive orientable unit clauses : 19
% 0.20/0.34 % Positive unorientable unit clauses: 0
% 0.20/0.34 % Negative unit clauses : 1
% 0.20/0.34 % Non-unit-clauses : 44
% 0.20/0.34 % Current number of unprocessed clauses: 20
% 0.20/0.34 % ...number of literals in the above : 47
% 0.20/0.34 % Current number of archived formulas : 0
% 0.20/0.34 % Current number of archived clauses : 9
% 0.20/0.34 % Clause-clause subsumption calls (NU) : 238
% 0.20/0.34 % Rec. Clause-clause subsumption calls : 224
% 0.20/0.34 % Non-unit clause-clause subsumptions : 23
% 0.20/0.34 % Unit Clause-clause subsumption calls : 2
% 0.20/0.34 % Rewrite failures with RHS unbound : 0
% 0.20/0.34 % BW rewrite match attempts : 8
% 0.20/0.34 % BW rewrite match successes : 4
% 0.20/0.34 % Condensation attempts : 0
% 0.20/0.34 % Condensation successes : 0
% 0.20/0.34 % Termbank termtop insertions : 14407
% 0.20/0.34 % Search garbage collected termcells : 5277
% 0.20/0.34
% 0.20/0.34 % -------------------------------------------------
% 0.20/0.34 % User time : 0.014 s
% 0.20/0.34 % System time : 0.005 s
% 0.20/0.34 % Total time : 0.019 s
% 0.20/0.34 % Maximum resident set size: 5372 pages
% 0.20/0.34
% 0.20/0.34 % -------------------------------------------------
% 0.20/0.34 % User time : 0.030 s
% 0.20/0.34 % System time : 0.011 s
% 0.20/0.34 % Total time : 0.041 s
% 0.20/0.34 % Maximum resident set size: 6144 pages
% 0.20/0.34 % E exiting
%------------------------------------------------------------------------------