%------------------------------------------------------------------------------
% File : E---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 : n020.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 01:57:40 PM UTC 2026
% Result : Theorem 0.27s 0.61s
% Output : CNFRefutation 0.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 29 ( 11 unt; 0 def)
% Number of atoms : 93 ( 0 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 129 ( 65 ~; 52 |; 12 &)
% ( 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 : 57 ( 1 sgn 44 !; 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_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(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_8,axiom,
! [X20,X21] :
( ( r1(X21)
& r1(X20) )
| ( ~ r1(X21)
& ~ r1(X20) )
| ~ id(X20,X21) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax',axiom_8) ).
fof(axiom_5,axiom,
! [X14] : id(X14,X14),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax',axiom_5) ).
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(assume_negation,[status(cth)],[oneunidtwo]) ).
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,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_5]) ).
fof(c_0_8,plain,
! [X65,X66] :
( ~ r2(X65,X66)
| ! [X67] :
( ~ r1(X67)
| ~ id(X67,X66) ) ),
inference(fof_simplification,[status(thm)],[axiom_7a]) ).
fof(c_0_9,plain,
! [X117,X118,X119,X120] :
( id(X117,X118)
| ~ r2(X118,X119)
| ~ r2(X117,X120)
| ~ id(X120,X119) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_6])])]) ).
fof(c_0_10,negated_conjecture,
( r2(esk24_0,esk21_0)
& r2(esk25_0,esk24_0)
& r1(esk25_0)
& id(esk22_0,esk21_0)
& r2(esk23_0,esk22_0)
& r1(esk23_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])]) ).
fof(c_0_11,plain,
! [X132,X133,X134] :
( ~ r2(X132,X133)
| ~ r1(X134)
| ~ id(X134,X133) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_8])])]) ).
fof(c_0_12,plain,
! [X20,X21] :
( ( r1(X21)
& r1(X20) )
| ( ~ r1(X21)
& ~ r1(X20) )
| ~ id(X20,X21) ),
inference(fof_simplification,[status(thm)],[axiom_8]) ).
cnf(c_0_13,plain,
( ~ r2(X4,X2)
| ~ r2(X3,X1)
| ~ id(X1,X2)
| id(X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_14,negated_conjecture,
r2(esk24_0,esk21_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_15,plain,
( ~ r2(X3,X2)
| ~ r1(X1)
| ~ id(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_16,negated_conjecture,
r2(esk25_0,esk24_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
fof(c_0_17,plain,
! [X81] : id(X81,X81),
inference(variable_rename,[status(thm)],[axiom_5]) ).
fof(c_0_18,plain,
! [X87,X88] :
( ( ~ id(X87,X88)
| ~ r1(X88)
| r1(X88) )
& ( ~ id(X87,X88)
| ~ r1(X88)
| r1(X87) )
& ( ~ id(X87,X88)
| ~ r1(X87)
| r1(X88) )
& ( ~ id(X87,X88)
| ~ r1(X87)
| r1(X87) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_12])])]) ).
cnf(c_0_19,negated_conjecture,
( ~ id(X2,esk21_0)
| ~ r2(X1,X2)
| id(X1,esk24_0) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_20,negated_conjecture,
r2(esk23_0,esk22_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_21,negated_conjecture,
id(esk22_0,esk21_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_22,negated_conjecture,
( ~ id(X1,esk24_0)
| ~ r1(X1) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_23,plain,
id(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_24,plain,
( ~ id(X2,X1)
| ~ r1(X2)
| r1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_25,negated_conjecture,
id(esk23_0,esk24_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21])]) ).
cnf(c_0_26,negated_conjecture,
r1(esk23_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_27,negated_conjecture,
~ r1(esk24_0),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_28,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26])]),c_0_27]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUN073+1 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.06 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/0.43 % Computer : n020.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Mon Sep 21 03:25:47 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.44 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/0.51 Running first-order theorem proving
% 0.17/0.51 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
% 0.27/0.61 % Version: 3.5.1
% 0.27/0.61 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.27/0.61 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.27/0.61 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.27/0.61 % Starting new_bool_3 with 300s (1) cores
% 0.27/0.61 % Starting new_bool_1 with 300s (1) cores
% 0.27/0.61 % Starting sh5l with 300s (1) cores
% 0.27/0.61 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 1899501 completed with status 0
% 0.27/0.61 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.27/0.61 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.27/0.61 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.27/0.61 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.27/0.61 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.27/0.61 % No SInE strategy applied
% 0.27/0.61 % Search class: FGHNM-FFMM21-SFFFFFNN
% 0.27/0.61 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.27/0.61 % Starting SubtermCWHack with 136s (1) cores
% 0.27/0.61 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.27/0.61 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.27/0.61 % Starting new_bool_3 with 136s (1) cores
% 0.27/0.61 % Starting new_bool_1 with 136s (1) cores
% 0.27/0.61 % new_bool_1 with pid 1899509 completed with status 0
% 0.27/0.61 % Result found by new_bool_1
% 0.27/0.61 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.27/0.61 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.27/0.61 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.27/0.61 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.27/0.61 % No SInE strategy applied
% 0.27/0.61 % Search class: FGHNM-FFMM21-SFFFFFNN
% 0.27/0.61 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.27/0.61 % Starting SubtermCWHack with 136s (1) cores
% 0.27/0.61 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.27/0.61 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.27/0.61 % Starting new_bool_3 with 136s (1) cores
% 0.27/0.61 % Starting new_bool_1 with 136s (1) cores
% 0.27/0.61 % Preprocessing time : 0.003 s
% 0.27/0.61 % Presaturation interreduction done
% 0.27/0.61
% 0.27/0.61 % Proof found!
% 0.27/0.61 % SZS status Theorem
% 0.27/0.61 % SZS output start CNFRefutation
% See solution above
% 0.27/0.61 % Parsed axioms : 19
% 0.27/0.61 % Removed by relevancy pruning/SinE : 0
% 0.27/0.61 % Initial clauses : 64
% 0.27/0.61 % Removed in clause preprocessing : 16
% 0.27/0.61 % Initial clauses in saturation : 48
% 0.27/0.61 % Processed clauses : 711
% 0.27/0.61 % ...of these trivial : 25
% 0.27/0.61 % ...subsumed : 296
% 0.27/0.61 % ...remaining for further processing : 390
% 0.27/0.61 % Other redundant clauses eliminated : 0
% 0.27/0.61 % Clauses deleted for lack of memory : 0
% 0.27/0.61 % Backward-subsumed : 0
% 0.27/0.61 % Backward-rewritten : 2
% 0.27/0.61 % Generated clauses : 2511
% 0.27/0.61 % ...of the previous two non-redundant : 1665
% 0.27/0.61 % ...aggressively subsumed : 0
% 0.27/0.61 % Contextual simplify-reflections : 2
% 0.27/0.61 % Paramodulations : 2511
% 0.27/0.61 % Factorizations : 0
% 0.27/0.61 % NegExts : 0
% 0.27/0.61 % Equation resolutions : 0
% 0.27/0.61 % Disequality decompositions : 0
% 0.27/0.61 % Total rewrite steps : 1262
% 0.27/0.61 % ...of those cached : 1083
% 0.27/0.61 % Propositional unsat checks : 0
% 0.27/0.61 % Propositional check models : 0
% 0.27/0.61 % Propositional check unsatisfiable : 0
% 0.27/0.61 % Propositional clauses : 0
% 0.27/0.61 % Propositional clauses after purity: 0
% 0.27/0.61 % Propositional unsat core size : 0
% 0.27/0.61 % Propositional preprocessing time : 0.000
% 0.27/0.61 % Propositional encoding time : 0.000
% 0.27/0.61 % Propositional solver time : 0.000
% 0.27/0.61 % Success case prop preproc time : 0.000
% 0.27/0.61 % Success case prop encoding time : 0.000
% 0.27/0.61 % Success case prop solver time : 0.000
% 0.27/0.61 % Current number of processed clauses : 340
% 0.27/0.61 % Positive orientable unit clauses : 169
% 0.27/0.61 % Positive unorientable unit clauses: 0
% 0.27/0.61 % Negative unit clauses : 20
% 0.27/0.61 % Non-unit-clauses : 151
% 0.27/0.61 % Current number of unprocessed clauses: 1046
% 0.27/0.61 % ...number of literals in the above : 1852
% 0.27/0.61 % Current number of archived formulas : 0
% 0.27/0.61 % Current number of archived clauses : 50
% 0.27/0.61 % Clause-clause subsumption calls (NU) : 2850
% 0.27/0.61 % Rec. Clause-clause subsumption calls : 2270
% 0.27/0.61 % Non-unit clause-clause subsumptions : 76
% 0.27/0.61 % Unit Clause-clause subsumption calls : 606
% 0.27/0.61 % Rewrite failures with RHS unbound : 0
% 0.27/0.61 % BW rewrite match attempts : 38
% 0.27/0.61 % BW rewrite match successes : 2
% 0.27/0.61 % Condensation attempts : 0
% 0.27/0.61 % Condensation successes : 0
% 0.27/0.61 % Termbank termtop insertions : 26064
% 0.27/0.61 % Search garbage collected termcells : 403
% 0.27/0.61
% 0.27/0.61 % -------------------------------------------------
% 0.27/0.61 % User time : 0.040 s
% 0.27/0.61 % System time : 0.007 s
% 0.27/0.61 % Total time : 0.047 s
% 0.27/0.61 % Maximum resident set size: 3696 pages
% 0.27/0.61
% 0.27/0.61 % -------------------------------------------------
% 0.27/0.61 % User time : 0.168 s
% 0.27/0.61 % System time : 0.034 s
% 0.27/0.61 % Total time : 0.202 s
% 0.27/0.61 % Maximum resident set size: 4864 pages
% 0.27/0.61 % E exiting
%------------------------------------------------------------------------------