%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : NUN073+2 : 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 : n015.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 0.26s 0.54s
% Output : CNFRefutation 0.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 4
% Syntax : Number of formulae : 35 ( 13 unt; 0 def)
% Number of atoms : 96 ( 34 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 124 ( 63 ~; 49 |; 12 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 58 ( 2 sgn 39 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(oneuneqtwo,conjecture,
! [X39] :
( ! [X23] :
( ~ r2(X23,X39)
| ! [X17] :
( ~ r2(X17,X23)
| ~ r1(X17) ) )
| ! [X22] :
( X22 != X39
| ! [X16] :
( ~ r2(X16,X22)
| ~ r1(X16) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oneuneqtwo) ).
fof(axiom_1,axiom,
? [X1] :
! [X2] :
( ( X2 = X1
& r1(X2) )
| ( X2 != X1
& ~ r1(X2) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM008+0.ax',axiom_1) ).
fof(axiom_7a,axiom,
! [X41,X42] :
( ~ r2(X41,X42)
| ! [X43] :
( X43 != X42
| ~ r1(X43) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM008+0.ax',axiom_7a) ).
fof(axiom_3a,axiom,
! [X26,X27] :
( X26 = X27
| ! [X28] :
( ~ r2(X27,X28)
| ! [X29] :
( X29 != X28
| ~ r2(X26,X29) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM008+0.ax',axiom_3a) ).
fof(c_0_4,negated_conjecture,
~ ! [X39] :
( ! [X23] :
( ~ r2(X23,X39)
| ! [X17] :
( ~ r2(X17,X23)
| ~ r1(X17) ) )
| ! [X22] :
( X22 != X39
| ! [X16] :
( ~ r2(X16,X22)
| ~ r1(X16) ) ) ),
inference(assume_negation,[status(cth)],[oneuneqtwo]) ).
fof(c_0_5,plain,
? [X1] :
! [X2] :
( ( X2 = X1
& r1(X2) )
| ( X2 != X1
& ~ r1(X2) ) ),
inference(fof_simplification,[status(thm)],[axiom_1]) ).
fof(c_0_6,negated_conjecture,
~ ! [X39] :
( ! [X23] :
( ~ r2(X23,X39)
| ! [X17] :
( ~ r2(X17,X23)
| ~ r1(X17) ) )
| ! [X22] :
( X22 != X39
| ! [X16] :
( ~ r2(X16,X22)
| ~ r1(X16) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_4]) ).
fof(c_0_7,plain,
! [X45] :
( ( X45 != esk1_0
| X45 = esk1_0 )
& ( X45 != esk1_0
| r1(X45) )
& ( ~ r1(X45)
| X45 = esk1_0 )
& ( ~ r1(X45)
| r1(X45) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_5])])])]) ).
fof(c_0_8,negated_conjecture,
( r2(esk24_0,esk21_0)
& r2(esk25_0,esk24_0)
& r1(esk25_0)
& 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_6])])]) ).
cnf(c_0_9,plain,
( ~ r1(X1)
| X1 = esk1_0 ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_10,negated_conjecture,
r1(esk25_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
fof(c_0_11,plain,
! [X41,X42] :
( ~ r2(X41,X42)
| ! [X43] :
( X43 != X42
| ~ r1(X43) ) ),
inference(fof_simplification,[status(thm)],[axiom_7a]) ).
cnf(c_0_12,negated_conjecture,
esk1_0 = esk25_0,
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
fof(c_0_13,plain,
! [X26,X27] :
( X26 = X27
| ! [X28] :
( ~ r2(X27,X28)
| ! [X29] :
( X29 != X28
| ~ r2(X26,X29) ) ) ),
inference(fof_simplification,[status(thm)],[axiom_3a]) ).
fof(c_0_14,plain,
! [X84,X85,X86] :
( ~ r2(X84,X85)
| X86 != X85
| ~ r1(X86) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_11])])]) ).
cnf(c_0_15,plain,
( ~ r1(X1)
| X1 = esk25_0 ),
inference(rw,[status(thm)],[c_0_9,c_0_12]) ).
cnf(c_0_16,negated_conjecture,
r1(esk23_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
fof(c_0_17,plain,
! [X69,X70,X71,X72] :
( X69 = X70
| ~ r2(X70,X71)
| X72 != X71
| ~ r2(X69,X72) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_13])])]) ).
cnf(c_0_18,plain,
( ~ r2(X3,X2)
| X1 != X2
| ~ r1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_19,negated_conjecture,
r2(esk25_0,esk24_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_20,negated_conjecture,
esk25_0 = esk23_0,
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_21,plain,
( ~ r2(X4,X3)
| X2 != X3
| ~ r2(X1,X2)
| X1 = X4 ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_22,plain,
( ~ r1(X2)
| ~ r2(X1,X2) ),
inference(er,[status(thm)],[c_0_18]) ).
cnf(c_0_23,negated_conjecture,
r2(esk23_0,esk24_0),
inference(rw,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_24,plain,
( X1 != esk1_0
| r1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_25,plain,
( ~ r2(X1,X3)
| ~ r2(X2,X3)
| X1 = X2 ),
inference(er,[status(thm)],[c_0_21]) ).
cnf(c_0_26,negated_conjecture,
r2(esk24_0,esk21_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_27,negated_conjecture,
r2(esk23_0,esk22_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_28,negated_conjecture,
esk22_0 = esk21_0,
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_29,negated_conjecture,
~ r1(esk24_0),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_30,plain,
( X1 != esk23_0
| r1(X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_24,c_0_12]),c_0_20]) ).
cnf(c_0_31,negated_conjecture,
( ~ r2(X1,esk21_0)
| X1 = esk24_0 ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_32,negated_conjecture,
r2(esk23_0,esk21_0),
inference(rw,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_33,negated_conjecture,
esk24_0 != esk23_0,
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_34,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_33]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : NUN073+2 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.08 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.19/0.44 % Computer : n015.cluster.edu
% 0.19/0.44 % Model : x86_64 x86_64
% 0.19/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.44 % Memory : 8046.5625MB
% 0.19/0.44 % OS : Linux 6.8.0-71-generic
% 0.19/0.44 % CPULimit : 300
% 0.19/0.44 % WCLimit : 300
% 0.19/0.44 % DateTime : Mon Sep 21 03:28:05 UTC 2026
% 0.19/0.44 % CPUTime :
% 0.19/0.44 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.26/0.51 Running first-order theorem proving
% 0.26/0.51 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
% 0.26/0.54 % Version: 3.5.1
% 0.26/0.54 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.26/0.54 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.26/0.54 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.26/0.54 % Starting new_bool_3 with 300s (1) cores
% 0.26/0.54 % Starting new_bool_1 with 300s (1) cores
% 0.26/0.54 % Starting sh5l with 300s (1) cores
% 0.26/0.54 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 460023 completed with status 0
% 0.26/0.54 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.26/0.54 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.26/0.54 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.26/0.54 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.26/0.54 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.26/0.54 % No SInE strategy applied
% 0.26/0.54 % Search class: FGHSM-FFMM21-SFFFFFNN
% 0.26/0.54 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.26/0.54 % Starting SubtermCWHack with 136s (1) cores
% 0.26/0.54 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.26/0.54 % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S04AN with 136s (1) cores
% 0.26/0.54 % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 136s (1) cores
% 0.26/0.54 % Starting G-E--_208_C09_12_F1_SE_CS_SP_PS_S5PRR_S04AN with 136s (1) cores
% 0.26/0.54 % G-E--_301_C18_F1_URBAN_S5PRR_RG_S04AN with pid 460030 completed with status 0
% 0.26/0.54 % Result found by G-E--_301_C18_F1_URBAN_S5PRR_RG_S04AN
% 0.26/0.54 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.26/0.54 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.26/0.54 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.26/0.54 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.26/0.54 % No SInE strategy applied
% 0.26/0.54 % Search class: FGHSM-FFMM21-SFFFFFNN
% 0.26/0.54 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.26/0.54 % Starting SubtermCWHack with 136s (1) cores
% 0.26/0.54 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.26/0.54 % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S04AN with 136s (1) cores
% 0.26/0.54 % Preprocessing time : 0.001 s
% 0.26/0.54
% 0.26/0.54 % Proof found!
% 0.26/0.54 % SZS status Theorem
% 0.26/0.54 % SZS output start CNFRefutation
% See solution above
% 0.26/0.54 % Parsed axioms : 12
% 0.26/0.54 % Removed by relevancy pruning/SinE : 0
% 0.26/0.54 % Initial clauses : 45
% 0.26/0.54 % Removed in clause preprocessing : 12
% 0.26/0.54 % Initial clauses in saturation : 33
% 0.26/0.54 % Processed clauses : 54
% 0.26/0.54 % ...of these trivial : 0
% 0.26/0.54 % ...subsumed : 1
% 0.26/0.54 % ...remaining for further processing : 53
% 0.26/0.54 % Other redundant clauses eliminated : 2
% 0.26/0.54 % Clauses deleted for lack of memory : 0
% 0.26/0.54 % Backward-subsumed : 0
% 0.26/0.54 % Backward-rewritten : 8
% 0.26/0.54 % Generated clauses : 72
% 0.26/0.54 % ...of the previous two non-redundant : 73
% 0.26/0.54 % ...aggressively subsumed : 0
% 0.26/0.54 % Contextual simplify-reflections : 0
% 0.26/0.54 % Paramodulations : 67
% 0.26/0.54 % Factorizations : 0
% 0.26/0.54 % NegExts : 0
% 0.26/0.54 % Equation resolutions : 5
% 0.26/0.54 % Disequality decompositions : 0
% 0.26/0.54 % Total rewrite steps : 14
% 0.26/0.54 % ...of those cached : 7
% 0.26/0.54 % Propositional unsat checks : 0
% 0.26/0.54 % Propositional check models : 0
% 0.26/0.54 % Propositional check unsatisfiable : 0
% 0.26/0.54 % Propositional clauses : 0
% 0.26/0.54 % Propositional clauses after purity: 0
% 0.26/0.54 % Propositional unsat core size : 0
% 0.26/0.54 % Propositional preprocessing time : 0.000
% 0.26/0.54 % Propositional encoding time : 0.000
% 0.26/0.54 % Propositional solver time : 0.000
% 0.26/0.54 % Success case prop preproc time : 0.000
% 0.26/0.54 % Success case prop encoding time : 0.000
% 0.26/0.54 % Success case prop solver time : 0.000
% 0.26/0.54 % Current number of processed clauses : 43
% 0.26/0.54 % Positive orientable unit clauses : 23
% 0.26/0.54 % Positive unorientable unit clauses: 0
% 0.26/0.54 % Negative unit clauses : 4
% 0.26/0.54 % Non-unit-clauses : 16
% 0.26/0.54 % Current number of unprocessed clauses: 42
% 0.26/0.54 % ...number of literals in the above : 64
% 0.26/0.54 % Current number of archived formulas : 0
% 0.26/0.54 % Current number of archived clauses : 12
% 0.26/0.54 % Clause-clause subsumption calls (NU) : 28
% 0.26/0.54 % Rec. Clause-clause subsumption calls : 27
% 0.26/0.54 % Non-unit clause-clause subsumptions : 0
% 0.26/0.54 % Unit Clause-clause subsumption calls : 41
% 0.26/0.54 % Rewrite failures with RHS unbound : 0
% 0.26/0.54 % BW rewrite match attempts : 4
% 0.26/0.54 % BW rewrite match successes : 3
% 0.26/0.54 % Condensation attempts : 0
% 0.26/0.54 % Condensation successes : 0
% 0.26/0.54 % Termbank termtop insertions : 2033
% 0.26/0.54 % Search garbage collected termcells : 312
% 0.26/0.54
% 0.26/0.54 % -------------------------------------------------
% 0.26/0.54 % User time : 0.010 s
% 0.26/0.54 % System time : 0.003 s
% 0.26/0.54 % Total time : 0.013 s
% 0.26/0.54 % Maximum resident set size: 3668 pages
% 0.26/0.54
% 0.26/0.54 % -------------------------------------------------
% 0.26/0.54 % User time : 0.028 s
% 0.26/0.54 % System time : 0.017 s
% 0.26/0.54 % Total time : 0.046 s
% 0.26/0.54 % Maximum resident set size: 4864 pages
% 0.26/0.54 % E exiting
%------------------------------------------------------------------------------