%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SEU451+1 : TPTP v9.3.1. Released v3.4.0.
% 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 02:25:15 PM UTC 2026
% Result : Theorem 0.24s 0.62s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 37 ( 7 unt; 0 def)
% Number of atoms : 82 ( 27 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 79 ( 34 ~; 30 |; 8 &)
% ( 1 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-6 aty)
% Number of variables : 103 ( 6 sgn 48 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(redefinition_k7_relset_1,axiom,
! [X1,X2,X3,X4,X5,X6] :
( ( m1_relset_1(X6,X3,X4)
& m1_relset_1(X5,X1,X2) )
=> k7_relset_1(X1,X2,X3,X4,X5,X6) = k5_relat_1(X5,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k7_relset_1) ).
fof(t23_funct_2,axiom,
! [X1,X2,X3] :
( m2_relset_1(X3,X1,X2)
=> ( k7_relset_1(X1,X2,X2,X2,X3,k6_partfun1(X2)) = X3
& k7_relset_1(X1,X1,X1,X2,k6_partfun1(X1),X3) = X3 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t23_funct_2) ).
fof(redefinition_m2_relset_1,axiom,
! [X1,X2,X3] :
( m2_relset_1(X3,X1,X2)
<=> m1_relset_1(X3,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(dt_k6_partfun1,axiom,
! [X1] :
( m2_relset_1(k6_partfun1(X1),X1,X1)
& v1_partfun1(k6_partfun1(X1),X1,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k6_partfun1) ).
fof(redefinition_k9_relset_2,axiom,
! [X1,X2,X3,X4,X5] :
( ( m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
& m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) )
=> k9_relset_2(X1,X2,X3,X4,X5) = k5_relat_1(X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k9_relset_2) ).
fof(dt_m2_relset_1,axiom,
! [X1,X2,X3] :
( m2_relset_1(X3,X1,X2)
=> m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_relset_1) ).
fof(t65_relset_2,conjecture,
! [X1,X2,X3] :
( m2_relset_1(X3,X1,X2)
=> k9_relset_2(X1,X1,X2,k6_partfun1(X1),X3) = k9_relset_2(X1,X2,X2,X3,k6_partfun1(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t65_relset_2) ).
fof(c_0_7,plain,
! [X66,X67,X68,X69,X70,X71] :
( k7_relset_1(X66,X67,X68,X69,X70,X71) = k5_relat_1(X70,X71)
| ~ m1_relset_1(X71,X68,X69)
| ~ m1_relset_1(X70,X66,X67) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k7_relset_1])])]) ).
fof(c_0_8,plain,
! [X83,X84,X85] :
( ( ~ m2_relset_1(X85,X83,X84)
| k7_relset_1(X83,X84,X84,X84,X85,k6_partfun1(X84)) = X85 )
& ( ~ m2_relset_1(X85,X83,X84)
| k7_relset_1(X83,X83,X83,X84,k6_partfun1(X83),X85) = X85 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t23_funct_2])])])]) ).
fof(c_0_9,plain,
! [X77,X78,X79] :
( ( m2_relset_1(X79,X77,X78)
| ~ m1_relset_1(X79,X77,X78) )
& ( m1_relset_1(X79,X77,X78)
| ~ m2_relset_1(X79,X77,X78) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1])])]) ).
cnf(c_0_10,plain,
( ~ m1_relset_1(X4,X5,X6)
| ~ m1_relset_1(X1,X2,X3)
| k7_relset_1(X2,X3,X5,X6,X1,X4) = k5_relat_1(X1,X4) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,plain,
( ~ m2_relset_1(X3,X1,X2)
| k7_relset_1(X1,X2,X2,X2,X3,k6_partfun1(X2)) = X3 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_12,plain,
( ~ m1_relset_1(X1,X2,X3)
| m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
fof(c_0_13,plain,
! [X19] :
( m2_relset_1(k6_partfun1(X19),X19,X19)
& v1_partfun1(k6_partfun1(X19),X19,X19) ),
inference(variable_rename,[status(thm)],[dt_k6_partfun1]) ).
fof(c_0_14,plain,
! [X72,X73,X74,X75,X76] :
( k9_relset_2(X72,X73,X74,X75,X76) = k5_relat_1(X75,X76)
| ~ m1_subset_1(X76,k1_zfmisc_1(k2_zfmisc_1(X73,X74)))
| ~ m1_subset_1(X75,k1_zfmisc_1(k2_zfmisc_1(X72,X73))) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k9_relset_2])])]) ).
fof(c_0_15,plain,
! [X32,X33,X34] :
( m1_subset_1(X34,k1_zfmisc_1(k2_zfmisc_1(X32,X33)))
| ~ m2_relset_1(X34,X32,X33) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_m2_relset_1])])]) ).
cnf(c_0_16,plain,
( ~ m1_relset_1(X1,X3,X2)
| ~ m1_relset_1(k6_partfun1(X2),X2,X2)
| k5_relat_1(X1,k6_partfun1(X2)) = X1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12]) ).
cnf(c_0_17,plain,
( ~ m2_relset_1(X1,X2,X3)
| m1_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_18,plain,
m2_relset_1(k6_partfun1(X1),X1,X1),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
fof(c_0_19,negated_conjecture,
~ ! [X1,X2,X3] :
( m2_relset_1(X3,X1,X2)
=> k9_relset_2(X1,X1,X2,k6_partfun1(X1),X3) = k9_relset_2(X1,X2,X2,X3,k6_partfun1(X2)) ),
inference(assume_negation,[status(cth)],[t65_relset_2]) ).
cnf(c_0_20,plain,
( ~ m2_relset_1(X3,X1,X2)
| k7_relset_1(X1,X1,X1,X2,k6_partfun1(X1),X3) = X3 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_21,plain,
( ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X3,X5)))
| ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
| k9_relset_2(X2,X3,X5,X1,X4) = k5_relat_1(X1,X4) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_22,plain,
( ~ m2_relset_1(X1,X2,X3)
| m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_23,plain,
( ~ m1_relset_1(X1,X3,X2)
| k5_relat_1(X1,k6_partfun1(X2)) = X1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18])]) ).
fof(c_0_24,negated_conjecture,
( k9_relset_2(esk1_0,esk1_0,esk2_0,k6_partfun1(esk1_0),esk3_0) != k9_relset_2(esk1_0,esk2_0,esk2_0,esk3_0,k6_partfun1(esk2_0))
& m2_relset_1(esk3_0,esk1_0,esk2_0) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])])]) ).
cnf(c_0_25,plain,
( ~ m1_relset_1(X2,X1,X3)
| ~ m1_relset_1(k6_partfun1(X1),X1,X1)
| k5_relat_1(k6_partfun1(X1),X2) = X2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_20]),c_0_12]) ).
cnf(c_0_26,plain,
( ~ m2_relset_1(X5,X2,X3)
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| k9_relset_2(X1,X2,X3,X4,X5) = k5_relat_1(X4,X5) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_27,plain,
( ~ m2_relset_1(X1,X3,X2)
| k5_relat_1(X1,k6_partfun1(X2)) = X1 ),
inference(spm,[status(thm)],[c_0_23,c_0_17]) ).
cnf(c_0_28,negated_conjecture,
m2_relset_1(esk3_0,esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_29,plain,
( ~ m1_relset_1(X2,X1,X3)
| k5_relat_1(k6_partfun1(X1),X2) = X2 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_17]),c_0_18])]) ).
cnf(c_0_30,negated_conjecture,
k9_relset_2(esk1_0,esk1_0,esk2_0,k6_partfun1(esk1_0),esk3_0) != k9_relset_2(esk1_0,esk2_0,esk2_0,esk3_0,k6_partfun1(esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_31,plain,
( ~ m2_relset_1(X4,X1,X2)
| ~ m2_relset_1(X5,X2,X3)
| k9_relset_2(X1,X2,X3,X4,X5) = k5_relat_1(X4,X5) ),
inference(spm,[status(thm)],[c_0_26,c_0_22]) ).
cnf(c_0_32,negated_conjecture,
k5_relat_1(esk3_0,k6_partfun1(esk2_0)) = esk3_0,
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_33,plain,
( ~ m2_relset_1(X2,X1,X3)
| k5_relat_1(k6_partfun1(X1),X2) = X2 ),
inference(spm,[status(thm)],[c_0_29,c_0_17]) ).
cnf(c_0_34,negated_conjecture,
k9_relset_2(esk1_0,esk1_0,esk2_0,k6_partfun1(esk1_0),esk3_0) != esk3_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32]),c_0_18]),c_0_28])]) ).
cnf(c_0_35,negated_conjecture,
k5_relat_1(k6_partfun1(esk1_0),esk3_0) = esk3_0,
inference(spm,[status(thm)],[c_0_33,c_0_28]) ).
cnf(c_0_36,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_31]),c_0_35]),c_0_28]),c_0_18])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SEU451+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.08 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.20/0.46 % Computer : n015.cluster.edu
% 0.20/0.46 % Model : x86_64 x86_64
% 0.20/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.46 % Memory : 8046.5625MB
% 0.20/0.46 % OS : Linux 6.8.0-71-generic
% 0.20/0.46 % CPULimit : 300
% 0.20/0.46 % WCLimit : 300
% 0.20/0.46 % DateTime : Mon Sep 21 06:38:52 UTC 2026
% 0.20/0.46 % CPUTime :
% 0.20/0.46 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.24/0.53 Running first-order theorem proving
% 0.24/0.53 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
% 0.24/0.62 % Version: 3.5.1
% 0.24/0.62 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.24/0.62 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.24/0.62 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.24/0.62 % Starting new_bool_3 with 300s (1) cores
% 0.24/0.62 % Starting new_bool_1 with 300s (1) cores
% 0.24/0.62 % Starting sh5l with 300s (1) cores
% 0.24/0.62 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 830552 completed with status 0
% 0.24/0.62 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.24/0.62 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.24/0.62 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.24/0.62 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.24/0.62 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.24/0.62 % No SInE strategy applied
% 0.24/0.62 % Search class: FGHSM-FFMM32-SFFFFFNN
% 0.24/0.62 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.24/0.62 % Starting SubtermCWHack with 136s (1) cores
% 0.24/0.62 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.24/0.62 % Starting G-E--_301_C18_F1_URBAN_S5PRR_S0Y with 316s (1) cores
% 0.24/0.62 % Starting U----_206e_02_C07_23_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.24/0.62 % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S04BN with 136s (1) cores
% 0.24/0.62 % G-E--_301_C18_F1_URBAN_S5PRR_S0Y with pid 830561 completed with status 0
% 0.24/0.62 % Result found by G-E--_301_C18_F1_URBAN_S5PRR_S0Y
% 0.24/0.62 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.24/0.62 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.24/0.62 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.24/0.62 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.24/0.62 % No SInE strategy applied
% 0.24/0.62 % Search class: FGHSM-FFMM32-SFFFFFNN
% 0.24/0.62 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.24/0.62 % Starting SubtermCWHack with 136s (1) cores
% 0.24/0.62 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.24/0.62 % Starting G-E--_301_C18_F1_URBAN_S5PRR_S0Y with 316s (1) cores
% 0.24/0.62 % Preprocessing time : 0.006 s
% 0.24/0.62
% 0.24/0.62 % Proof found!
% 0.24/0.62 % SZS status Theorem
% 0.24/0.62 % SZS output start CNFRefutation
% See solution above
% 0.24/0.62 % Parsed axioms : 48
% 0.24/0.62 % Removed by relevancy pruning/SinE : 0
% 0.24/0.62 % Initial clauses : 77
% 0.24/0.62 % Removed in clause preprocessing : 7
% 0.24/0.62 % Initial clauses in saturation : 70
% 0.24/0.62 % Processed clauses : 328
% 0.24/0.62 % ...of these trivial : 9
% 0.24/0.62 % ...subsumed : 112
% 0.24/0.62 % ...remaining for further processing : 207
% 0.24/0.62 % Other redundant clauses eliminated : 0
% 0.24/0.62 % Clauses deleted for lack of memory : 0
% 0.24/0.62 % Backward-subsumed : 7
% 0.24/0.62 % Backward-rewritten : 5
% 0.24/0.62 % Generated clauses : 897
% 0.24/0.62 % ...of the previous two non-redundant : 768
% 0.24/0.62 % ...aggressively subsumed : 0
% 0.24/0.62 % Contextual simplify-reflections : 10
% 0.24/0.62 % Paramodulations : 897
% 0.24/0.62 % Factorizations : 0
% 0.24/0.62 % NegExts : 0
% 0.24/0.62 % Equation resolutions : 0
% 0.24/0.62 % Disequality decompositions : 0
% 0.24/0.62 % Total rewrite steps : 555
% 0.24/0.62 % ...of those cached : 498
% 0.24/0.62 % Propositional unsat checks : 0
% 0.24/0.62 % Propositional check models : 0
% 0.24/0.62 % Propositional check unsatisfiable : 0
% 0.24/0.62 % Propositional clauses : 0
% 0.24/0.62 % Propositional clauses after purity: 0
% 0.24/0.62 % Propositional unsat core size : 0
% 0.24/0.62 % Propositional preprocessing time : 0.000
% 0.24/0.62 % Propositional encoding time : 0.000
% 0.24/0.62 % Propositional solver time : 0.000
% 0.24/0.62 % Success case prop preproc time : 0.000
% 0.24/0.62 % Success case prop encoding time : 0.000
% 0.24/0.62 % Success case prop solver time : 0.000
% 0.24/0.62 % Current number of processed clauses : 195
% 0.24/0.62 % Positive orientable unit clauses : 56
% 0.24/0.62 % Positive unorientable unit clauses: 0
% 0.24/0.62 % Negative unit clauses : 5
% 0.24/0.62 % Non-unit-clauses : 134
% 0.24/0.62 % Current number of unprocessed clauses: 484
% 0.24/0.62 % ...number of literals in the above : 2122
% 0.24/0.62 % Current number of archived formulas : 0
% 0.24/0.62 % Current number of archived clauses : 13
% 0.24/0.62 % Clause-clause subsumption calls (NU) : 6728
% 0.24/0.62 % Rec. Clause-clause subsumption calls : 3804
% 0.24/0.62 % Non-unit clause-clause subsumptions : 127
% 0.24/0.62 % Unit Clause-clause subsumption calls : 1195
% 0.24/0.62 % Rewrite failures with RHS unbound : 0
% 0.24/0.62 % BW rewrite match attempts : 18
% 0.24/0.62 % BW rewrite match successes : 4
% 0.24/0.62 % Condensation attempts : 0
% 0.24/0.62 % Condensation successes : 0
% 0.24/0.62 % Termbank termtop insertions : 15094
% 0.24/0.62 % Search garbage collected termcells : 541
% 0.24/0.62
% 0.24/0.62 % -------------------------------------------------
% 0.24/0.62 % User time : 0.064 s
% 0.24/0.62 % System time : 0.003 s
% 0.24/0.62 % Total time : 0.067 s
% 0.24/0.62 % Maximum resident set size: 3680 pages
% 0.24/0.62
% 0.24/0.62 % -------------------------------------------------
% 0.24/0.62 % User time : 0.288 s
% 0.24/0.62 % System time : 0.021 s
% 0.24/0.62 % Total time : 0.309 s
% 0.24/0.62 % Maximum resident set size: 4608 pages
% 0.24/0.62 % E exiting
%------------------------------------------------------------------------------