%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : ITP181^1 : 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 : n002.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 08:05:46 AM UTC 2026
% Result : Theorem 0.26s 0.37s
% Output : CNFRefutation 0.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 16 ( 10 unt; 0 typ; 0 def)
% Number of atoms : 32 ( 10 equ; 0 cnn)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 91 ( 15 ~; 8 |; 4 &; 62 @)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Number of types : 5 ( 4 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 18 ( 2 ^; 16 !; 0 ?; 18 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
produc1141751126_pi_pi: $tType ).
thf(decl_sort2,type,
pi: $tType ).
thf(decl_sort3,type,
name: $tType ).
thf(decl_sort4,type,
product_prod_pi_pi: $tType ).
thf(decl_47,type,
fresh_name_name: name > name > $o ).
thf(decl_63,type,
fresh_1376661020_pi_pi: name > produc1141751126_pi_pi > $o ).
thf(decl_65,type,
fresh_1627595501_pi_pi: name > product_prod_pi_pi > $o ).
thf(decl_89,type,
produc235456326_pi_pi: name > product_prod_pi_pi > produc1141751126_pi_pi ).
thf(decl_91,type,
product_Pair_pi_pi: pi > pi > product_prod_pi_pi ).
thf(decl_109,type,
p: pi ).
thf(decl_111,type,
q: pi ).
thf(decl_114,type,
x: name ).
thf(decl_115,type,
y: name ).
thf(conj_0,conjecture,
y != x,
file('/export/starexec/sandbox2/tmp/tmp.7t3zahBZ3T/E---3.1_1790690.p',conj_0) ).
thf(fact_273_name__fresh,axiom,
( fresh_name_name
= ( ^ [X649: name,X650: name] : ( X649 != X650 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.7t3zahBZ3T/E---3.1_1790690.p',fact_273_name__fresh) ).
thf(fact_15_fresh__prod,axiom,
! [X1: name,X16: name,X17: product_prod_pi_pi] :
( ( fresh_1376661020_pi_pi @ X1 @ ( produc235456326_pi_pi @ X16 @ X17 ) )
<=> ( ( fresh_name_name @ X1 @ X16 )
& ( fresh_1627595501_pi_pi @ X1 @ X17 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.7t3zahBZ3T/E---3.1_1790690.p',fact_15_fresh__prod) ).
thf(fact_1_Bound_Ohyps_I5_J,axiom,
fresh_1376661020_pi_pi @ y @ ( produc235456326_pi_pi @ x @ ( product_Pair_pi_pi @ p @ q ) ),
file('/export/starexec/sandbox2/tmp/tmp.7t3zahBZ3T/E---3.1_1790690.p',fact_1_Bound_Ohyps_I5_J) ).
thf(c_0_4,negated_conjecture,
~ ( ( y != x ) ),
inference(assume_negation,[status(cth)],[conj_0]) ).
thf(c_0_5,plain,
! [X1878: name,X1879: name] :
( ( fresh_name_name @ X1878 @ X1879 )
<=> ( X1878 != X1879 ) ),
inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_273_name__fresh])])]) ).
thf(c_0_6,negated_conjecture,
y = x,
inference(fof_simplification,[status(thm)],[c_0_4]) ).
thf(c_0_7,plain,
! [X2738: name,X2739: name] :
( ( ~ ( fresh_name_name @ X2738 @ X2739 )
| ( X2738 != X2739 ) )
& ( ( X2738 = X2739 )
| ( fresh_name_name @ X2738 @ X2739 ) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])]) ).
thf(c_0_8,plain,
! [X1892: name,X1893: name,X1894: product_prod_pi_pi] :
( ( ( fresh_name_name @ X1892 @ X1893 )
| ~ ( fresh_1376661020_pi_pi @ X1892 @ ( produc235456326_pi_pi @ X1893 @ X1894 ) ) )
& ( ( fresh_1627595501_pi_pi @ X1892 @ X1894 )
| ~ ( fresh_1376661020_pi_pi @ X1892 @ ( produc235456326_pi_pi @ X1893 @ X1894 ) ) )
& ( ~ ( fresh_name_name @ X1892 @ X1893 )
| ~ ( fresh_1627595501_pi_pi @ X1892 @ X1894 )
| ( fresh_1376661020_pi_pi @ X1892 @ ( produc235456326_pi_pi @ X1893 @ X1894 ) ) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_15_fresh__prod])])])]) ).
thf(c_0_9,plain,
fresh_1376661020_pi_pi @ y @ ( produc235456326_pi_pi @ x @ ( product_Pair_pi_pi @ p @ q ) ),
inference(split_conjunct,[status(thm)],[fact_1_Bound_Ohyps_I5_J]) ).
thf(c_0_10,negated_conjecture,
y = x,
inference(split_conjunct,[status(thm)],[c_0_6]) ).
thf(c_0_11,plain,
! [X1: name,X4: name] :
( ~ ( fresh_name_name @ X1 @ X4 )
| ( X1 != X4 ) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
thf(c_0_12,plain,
! [X1: name,X4: name,X17: product_prod_pi_pi] :
( ( fresh_name_name @ X1 @ X4 )
| ~ ( fresh_1376661020_pi_pi @ X1 @ ( produc235456326_pi_pi @ X4 @ X17 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
thf(c_0_13,plain,
fresh_1376661020_pi_pi @ x @ ( produc235456326_pi_pi @ x @ ( product_Pair_pi_pi @ p @ q ) ),
inference(rw,[status(thm)],[c_0_9,c_0_10]) ).
thf(c_0_14,plain,
! [X1: name] :
~ ( fresh_name_name @ X1 @ X1 ),
inference(er,[status(thm)],[c_0_11]) ).
thf(c_0_15,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP181^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.18 % Computer : n002.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Tue Sep 29 20:10:23 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.22 Running higher-order theorem proving
% 0.23/0.28 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.7t3zahBZ3T/E---3.1_1790690.p
% 0.26/0.37 % Version: 3.5.1-ho
% 0.26/0.37 % Preprocessing class: HSLSSMSMSSSNSFA.
% 0.26/0.37 % Scheduled 6 strats onto 8 cores with 300 seconds (2400 total)
% 0.26/0.37 % Starting new_ho_10 with 900s (3) cores
% 0.26/0.37 % Starting sh2lt with 300s (1) cores
% 0.26/0.37 % Starting new_ho_5 with 300s (1) cores
% 0.26/0.37 % Starting full_lambda_5 with 300s (1) cores
% 0.26/0.37 % Starting sh9 with 300s (1) cores
% 0.26/0.37 % Starting ehoh_best8_lambda with 300s (1) cores
% 0.26/0.37 % new_ho_5 with pid 1790705 completed with status 0
% 0.26/0.37 % Result found by new_ho_5
% 0.26/0.37 % Preprocessing class: HSLSSMSMSSSNSFA.
% 0.26/0.37 % Scheduled 6 strats onto 8 cores with 300 seconds (2400 total)
% 0.26/0.37 % Starting new_ho_10 with 900s (3) cores
% 0.26/0.37 % Starting sh2lt with 300s (1) cores
% 0.26/0.37 % Starting new_ho_5 with 300s (1) cores
% 0.26/0.37 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = GSinE(CountFormulas,hypos,7,,3,20000,1.0,true))
% 0.26/0.37 % SinE strategy is GSinE(CountFormulas,hypos,7,,3,20000,1.0,true)
% 0.26/0.37 % Search class: HGHSM-FSLM32-MSFFFFBN
% 0.26/0.37 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.26/0.37 % Starting SubtermCWHack with 28s (1) cores
% 0.26/0.37 % SubtermCWHack with pid 1790709 completed with status 0
% 0.26/0.37 % Result found by SubtermCWHack
% 0.26/0.37 % Preprocessing class: HSLSSMSMSSSNSFA.
% 0.26/0.37 % Scheduled 6 strats onto 8 cores with 300 seconds (2400 total)
% 0.26/0.37 % Starting new_ho_10 with 900s (3) cores
% 0.26/0.37 % Starting sh2lt with 300s (1) cores
% 0.26/0.37 % Starting new_ho_5 with 300s (1) cores
% 0.26/0.37 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = GSinE(CountFormulas,hypos,7,,3,20000,1.0,true))
% 0.26/0.37 % SinE strategy is GSinE(CountFormulas,hypos,7,,3,20000,1.0,true)
% 0.26/0.37 % Search class: HGHSM-FSLM32-MSFFFFBN
% 0.26/0.37 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.26/0.37 % Starting SubtermCWHack with 28s (1) cores
% 0.26/0.37 % Preprocessing time : 0.014 s
% 0.26/0.37
% 0.26/0.37 % Proof found!
% 0.26/0.37 % SZS status Theorem
% 0.26/0.37 % SZS output start CNFRefutation
% See solution above
% 0.26/0.37 % Parsed axioms : 481
% 0.26/0.37 % Removed by relevancy pruning/SinE : 208
% 0.26/0.37 % Initial clauses : 816
% 0.26/0.37 % Removed in clause preprocessing : 20
% 0.26/0.37 % Initial clauses in saturation : 796
% 0.26/0.37 % Processed clauses : 156
% 0.26/0.37 % ...of these trivial : 7
% 0.26/0.37 % ...subsumed : 16
% 0.26/0.37 % ...remaining for further processing : 133
% 0.26/0.37 % Other redundant clauses eliminated : 30
% 0.26/0.37 % Clauses deleted for lack of memory : 0
% 0.26/0.37 % Backward-subsumed : 0
% 0.26/0.37 % Backward-rewritten : 5
% 0.26/0.37 % Generated clauses : 105
% 0.26/0.37 % ...of the previous two non-redundant : 63
% 0.26/0.37 % ...aggressively subsumed : 0
% 0.26/0.37 % Contextual simplify-reflections : 0
% 0.26/0.37 % Paramodulations : 67
% 0.26/0.37 % Factorizations : 0
% 0.26/0.37 % NegExts : 0
% 0.26/0.37 % Equation resolutions : 34
% 0.26/0.37 % Disequality decompositions : 0
% 0.26/0.37 % Total rewrite steps : 40
% 0.26/0.37 % ...of those cached : 26
% 0.26/0.37 % Propositional unsat checks : 0
% 0.26/0.37 % Propositional check models : 0
% 0.26/0.37 % Propositional check unsatisfiable : 0
% 0.26/0.37 % Propositional clauses : 0
% 0.26/0.37 % Propositional clauses after purity: 0
% 0.26/0.37 % Propositional unsat core size : 0
% 0.26/0.37 % Propositional preprocessing time : 0.000
% 0.26/0.37 % Propositional encoding time : 0.000
% 0.26/0.37 % Propositional solver time : 0.000
% 0.26/0.37 % Success case prop preproc time : 0.000
% 0.26/0.37 % Success case prop encoding time : 0.000
% 0.26/0.37 % Success case prop solver time : 0.000
% 0.26/0.37 % Current number of processed clauses : 109
% 0.26/0.37 % Positive orientable unit clauses : 39
% 0.26/0.37 % Positive unorientable unit clauses: 0
% 0.26/0.37 % Negative unit clauses : 25
% 0.26/0.37 % Non-unit-clauses : 45
% 0.26/0.37 % Current number of unprocessed clauses: 698
% 0.26/0.37 % ...number of literals in the above : 2671
% 0.26/0.37 % Current number of archived formulas : 0
% 0.26/0.37 % Current number of archived clauses : 5
% 0.26/0.37 % Clause-clause subsumption calls (NU) : 509
% 0.26/0.37 % Rec. Clause-clause subsumption calls : 449
% 0.26/0.37 % Non-unit clause-clause subsumptions : 12
% 0.26/0.37 % Unit Clause-clause subsumption calls : 314
% 0.26/0.37 % Rewrite failures with RHS unbound : 0
% 0.26/0.37 % BW rewrite match attempts : 9
% 0.26/0.37 % BW rewrite match successes : 4
% 0.26/0.37 % Condensation attempts : 0
% 0.26/0.37 % Condensation successes : 0
% 0.26/0.37 % Termbank termtop insertions : 61905
% 0.26/0.37 % Search garbage collected termcells : 16735
% 0.26/0.37
% 0.26/0.37 % -------------------------------------------------
% 0.26/0.37 % User time : 0.046 s
% 0.26/0.37 % System time : 0.012 s
% 0.26/0.37 % Total time : 0.058 s
% 0.26/0.37 % Maximum resident set size: 7576 pages
% 0.26/0.37
% 0.26/0.37 % -------------------------------------------------
% 0.26/0.37 % User time : 0.063 s
% 0.26/0.37 % System time : 0.018 s
% 0.26/0.37 % Total time : 0.081 s
% 0.26/0.37 % Maximum resident set size: 5888 pages
% 0.26/0.37 % E exiting
%------------------------------------------------------------------------------