%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : NUN073+1 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n018.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 01:57:55 PM UTC 2026
% Result : Theorem 0.24s 0.61s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 21 ( 7 unt; 0 def)
% Number of atoms : 64 ( 0 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 92 ( 49 ~; 38 |; 5 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 46 ( 1 sgn 36 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(oneunidtwo,conjecture,
! [X63] :
( ! [X47] :
( ~ r2(X47,X63)
| ! [X41] :
( ~ r2(X41,X47)
| ~ r1(X41) ) )
| ! [X46] :
( ~ id(X46,X63)
| ! [X40] :
( ~ r2(X40,X46)
| ~ r1(X40) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oneunidtwo) ).
fof(axiom_7a,axiom,
! [X65,X66] :
( ~ r2(X65,X66)
| ! [X67] :
( ~ r1(X67)
| ~ id(X67,X66) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax',axiom_7a) ).
fof(axiom_3a,axiom,
! [X50,X51] :
( id(X50,X51)
| ! [X52] :
( ~ r2(X51,X52)
| ! [X53] :
( ~ r2(X50,X53)
| ~ id(X53,X52) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax',axiom_3a) ).
fof(c_0_3,negated_conjecture,
~ ! [X63] :
( ! [X47] :
( ~ r2(X47,X63)
| ! [X41] :
( ~ r2(X41,X47)
| ~ r1(X41) ) )
| ! [X46] :
( ~ id(X46,X63)
| ! [X40] :
( ~ r2(X40,X46)
| ~ r1(X40) ) ) ),
inference(assume_negation,[status(cth)],[oneunidtwo]) ).
fof(c_0_4,plain,
! [X65,X66] :
( ~ r2(X65,X66)
| ! [X67] :
( ~ r1(X67)
| ~ id(X67,X66) ) ),
inference(fof_simplification,[status(thm)],[axiom_7a]) ).
fof(c_0_5,negated_conjecture,
~ ! [X63] :
( ! [X47] :
( ~ r2(X47,X63)
| ! [X41] :
( ~ r2(X41,X47)
| ~ r1(X41) ) )
| ! [X46] :
( ~ id(X46,X63)
| ! [X40] :
( ~ r2(X40,X46)
| ~ r1(X40) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_3]) ).
fof(c_0_6,plain,
! [X50,X51] :
( id(X50,X51)
| ! [X52] :
( ~ r2(X51,X52)
| ! [X53] :
( ~ r2(X50,X53)
| ~ id(X53,X52) ) ) ),
inference(fof_simplification,[status(thm)],[axiom_3a]) ).
fof(c_0_7,plain,
! [X88,X89,X90] :
( ~ r2(X88,X89)
| ~ r1(X90)
| ~ id(X90,X89) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_4])])]) ).
fof(c_0_8,negated_conjecture,
( r2(esk4_0,esk1_0)
& r2(esk5_0,esk4_0)
& r1(esk5_0)
& id(esk2_0,esk1_0)
& r2(esk3_0,esk2_0)
& r1(esk3_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])]) ).
fof(c_0_9,plain,
! [X80,X81,X82,X83] :
( id(X80,X81)
| ~ r2(X81,X82)
| ~ r2(X80,X83)
| ~ id(X83,X82) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_6])])]) ).
cnf(c_0_10,plain,
( ~ r2(X3,X2)
| ~ r1(X1)
| ~ id(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,negated_conjecture,
r2(esk5_0,esk4_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_12,plain,
( ~ r2(X4,X2)
| ~ r2(X3,X1)
| ~ id(X1,X2)
| id(X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_13,negated_conjecture,
r2(esk4_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_14,negated_conjecture,
( ~ id(X1,esk4_0)
| ~ r1(X1) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_15,negated_conjecture,
r1(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_16,negated_conjecture,
( ~ id(X2,esk1_0)
| ~ r2(X1,X2)
| id(X1,esk4_0) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_17,negated_conjecture,
r2(esk3_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_18,negated_conjecture,
id(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_19,negated_conjecture,
~ id(esk3_0,esk4_0),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_20,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18])]),c_0_19]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : NUN073+1 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.07 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.19/0.46 % Computer : n018.cluster.edu
% 0.19/0.46 % Model : x86_64 x86_64
% 0.19/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.46 % Memory : 8046.5625MB
% 0.19/0.46 % OS : Linux 6.8.0-71-generic
% 0.19/0.46 % CPULimit : 300
% 0.19/0.46 % WCLimit : 300
% 0.19/0.46 % DateTime : Mon Sep 21 03:26:58 UTC 2026
% 0.19/0.46 % CPUTime :
% 0.19/0.46 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.19/0.52 Running first-order theorem proving
% 0.19/0.52 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
% 0.24/0.61 % Version: 3.5.1
% 0.24/0.61 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.24/0.61 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.24/0.61 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.24/0.61 % Starting new_bool_3 with 300s (1) cores
% 0.24/0.61 % Starting new_bool_1 with 300s (1) cores
% 0.24/0.61 % Starting sh5l with 300s (1) cores
% 0.24/0.61 % new_bool_1 with pid 866246 completed with status 0
% 0.24/0.61 % Result found by new_bool_1
% 0.24/0.61 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.24/0.61 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.24/0.61 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.24/0.61 % Starting new_bool_3 with 300s (1) cores
% 0.24/0.61 % Starting new_bool_1 with 300s (1) cores
% 0.24/0.61 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.24/0.61 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.24/0.61 % Search class: FGHNM-FFMM21-SFFFFFNN
% 0.24/0.61 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.24/0.61 % Starting SubtermCWHack with 31s (1) cores
% 0.24/0.61 % SubtermCWHack with pid 866251 completed with status 0
% 0.24/0.61 % Result found by SubtermCWHack
% 0.24/0.61 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.24/0.61 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.24/0.61 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.24/0.61 % Starting new_bool_3 with 300s (1) cores
% 0.24/0.61 % Starting new_bool_1 with 300s (1) cores
% 0.24/0.61 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.24/0.61 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.24/0.61 % Search class: FGHNM-FFMM21-SFFFFFNN
% 0.24/0.61 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.24/0.61 % Starting SubtermCWHack with 31s (1) cores
% 0.24/0.61 % Preprocessing time : 0.001 s
% 0.24/0.61
% 0.24/0.61 % Proof found!
% 0.24/0.61 % SZS status Theorem
% 0.24/0.61 % SZS output start CNFRefutation
% See solution above
% 0.24/0.61 % Parsed axioms : 19
% 0.24/0.61 % Removed by relevancy pruning/SinE : 0
% 0.24/0.61 % Initial clauses : 64
% 0.24/0.61 % Removed in clause preprocessing : 16
% 0.24/0.61 % Initial clauses in saturation : 48
% 0.24/0.61 % Processed clauses : 880
% 0.24/0.61 % ...of these trivial : 43
% 0.24/0.61 % ...subsumed : 365
% 0.24/0.61 % ...remaining for further processing : 472
% 0.24/0.61 % Other redundant clauses eliminated : 0
% 0.24/0.61 % Clauses deleted for lack of memory : 0
% 0.24/0.61 % Backward-subsumed : 11
% 0.24/0.61 % Backward-rewritten : 0
% 0.24/0.61 % Generated clauses : 2871
% 0.24/0.61 % ...of the previous two non-redundant : 2050
% 0.24/0.61 % ...aggressively subsumed : 0
% 0.24/0.61 % Contextual simplify-reflections : 0
% 0.24/0.61 % Paramodulations : 2871
% 0.24/0.61 % Factorizations : 0
% 0.24/0.61 % NegExts : 0
% 0.24/0.61 % Equation resolutions : 0
% 0.24/0.61 % Disequality decompositions : 0
% 0.24/0.61 % Total rewrite steps : 1119
% 0.24/0.61 % ...of those cached : 930
% 0.24/0.61 % Propositional unsat checks : 0
% 0.24/0.61 % Propositional check models : 0
% 0.24/0.61 % Propositional check unsatisfiable : 0
% 0.24/0.61 % Propositional clauses : 0
% 0.24/0.61 % Propositional clauses after purity: 0
% 0.24/0.61 % Propositional unsat core size : 0
% 0.24/0.61 % Propositional preprocessing time : 0.000
% 0.24/0.61 % Propositional encoding time : 0.000
% 0.24/0.61 % Propositional solver time : 0.000
% 0.24/0.61 % Success case prop preproc time : 0.000
% 0.24/0.61 % Success case prop encoding time : 0.000
% 0.24/0.61 % Success case prop solver time : 0.000
% 0.24/0.61 % Current number of processed clauses : 461
% 0.24/0.61 % Positive orientable unit clauses : 182
% 0.24/0.61 % Positive unorientable unit clauses: 0
% 0.24/0.61 % Negative unit clauses : 149
% 0.24/0.61 % Non-unit-clauses : 130
% 0.24/0.61 % Current number of unprocessed clauses: 1206
% 0.24/0.61 % ...number of literals in the above : 2978
% 0.24/0.61 % Current number of archived formulas : 0
% 0.24/0.61 % Current number of archived clauses : 11
% 0.24/0.61 % Clause-clause subsumption calls (NU) : 5678
% 0.24/0.61 % Rec. Clause-clause subsumption calls : 4308
% 0.24/0.61 % Non-unit clause-clause subsumptions : 85
% 0.24/0.61 % Unit Clause-clause subsumption calls : 16235
% 0.24/0.61 % Rewrite failures with RHS unbound : 0
% 0.24/0.61 % BW rewrite match attempts : 39
% 0.24/0.61 % BW rewrite match successes : 0
% 0.24/0.61 % Condensation attempts : 0
% 0.24/0.61 % Condensation successes : 0
% 0.24/0.61 % Termbank termtop insertions : 30075
% 0.24/0.61 % Search garbage collected termcells : 403
% 0.24/0.61
% 0.24/0.61 % -------------------------------------------------
% 0.24/0.61 % User time : 0.042 s
% 0.24/0.61 % System time : 0.005 s
% 0.24/0.61 % Total time : 0.047 s
% 0.24/0.61 % Maximum resident set size: 3696 pages
% 0.24/0.61
% 0.24/0.61 % -------------------------------------------------
% 0.24/0.61 % User time : 0.044 s
% 0.24/0.61 % System time : 0.008 s
% 0.24/0.61 % Total time : 0.053 s
% 0.24/0.61 % Maximum resident set size: 4608 pages
% 0.24/0.61 % E exiting
%------------------------------------------------------------------------------