%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SEU045+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n001.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 02:28:00 PM UTC 2026
% Result : Theorem 0.16s 5.52s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 18 ( 5 unt; 0 def)
% Number of atoms : 136 ( 23 equ)
% Maximal formula atoms : 79 ( 7 avg)
% Number of connectives : 196 ( 78 ~; 86 |; 21 &)
% ( 2 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-3 aty)
% Number of variables : 36 ( 3 sgn 25 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t85_funct_1,axiom,
! [X1,X2] :
( ( function(X2)
& relation(X2) )
=> ! [X3] :
( ( function(X3)
& relation(X3) )
=> ( X2 = relation_rng_restriction(X1,X3)
<=> ( ! [X4] :
( in(X4,relation_dom(X2))
=> apply(X2,X4) = apply(X3,X4) )
& ! [X4] :
( in(X4,relation_dom(X2))
<=> ( in(apply(X3,X4),X1)
& in(X4,relation_dom(X3)) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t85_funct_1) ).
fof(dt_k8_relat_1,axiom,
! [X1,X2] :
( relation(X2)
=> relation(relation_rng_restriction(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k8_relat_1) ).
fof(fc5_funct_1,axiom,
! [X1,X2] :
( ( function(X2)
& relation(X2) )
=> ( function(relation_rng_restriction(X1,X2))
& relation(relation_rng_restriction(X1,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc5_funct_1) ).
fof(t87_funct_1,conjecture,
! [X1,X2,X3] :
( ( function(X3)
& relation(X3) )
=> ( in(X2,relation_dom(relation_rng_restriction(X1,X3)))
=> apply(relation_rng_restriction(X1,X3),X2) = apply(X3,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t87_funct_1) ).
fof(c_0_4,plain,
! [X52,X53,X54,X55,X56,X57] :
( ( ~ function(X53)
| ~ relation(X53)
| ~ function(X54)
| ~ relation(X54)
| X53 = relation_rng_restriction(X52,X54)
| in(esk15_3(X52,X53,X54),relation_dom(X53))
| in(apply(X54,esk15_3(X52,X53,X54)),X52)
| apply(X53,esk16_3(X52,X53,X54)) != apply(X54,esk16_3(X52,X53,X54)) )
& ( ~ function(X53)
| ~ relation(X53)
| ~ function(X54)
| ~ relation(X54)
| X53 = relation_rng_restriction(X52,X54)
| in(esk15_3(X52,X53,X54),relation_dom(X53))
| in(apply(X54,esk15_3(X52,X53,X54)),X52)
| in(esk16_3(X52,X53,X54),relation_dom(X53)) )
& ( ~ function(X53)
| ~ relation(X53)
| ~ function(X54)
| ~ relation(X54)
| X53 = relation_rng_restriction(X52,X54)
| in(esk15_3(X52,X53,X54),relation_dom(X53))
| in(esk15_3(X52,X53,X54),relation_dom(X54))
| apply(X53,esk16_3(X52,X53,X54)) != apply(X54,esk16_3(X52,X53,X54)) )
& ( ~ function(X53)
| ~ relation(X53)
| ~ function(X54)
| ~ relation(X54)
| X53 = relation_rng_restriction(X52,X54)
| in(esk15_3(X52,X53,X54),relation_dom(X53))
| in(esk15_3(X52,X53,X54),relation_dom(X54))
| in(esk16_3(X52,X53,X54),relation_dom(X53)) )
& ( ~ function(X53)
| ~ relation(X53)
| ~ function(X54)
| ~ relation(X54)
| X53 = relation_rng_restriction(X52,X54)
| ~ in(apply(X54,esk15_3(X52,X53,X54)),X52)
| ~ in(esk15_3(X52,X53,X54),relation_dom(X54))
| ~ in(esk15_3(X52,X53,X54),relation_dom(X53))
| apply(X53,esk16_3(X52,X53,X54)) != apply(X54,esk16_3(X52,X53,X54)) )
& ( ~ function(X53)
| ~ relation(X53)
| ~ function(X54)
| ~ relation(X54)
| X53 = relation_rng_restriction(X52,X54)
| ~ in(apply(X54,esk15_3(X52,X53,X54)),X52)
| ~ in(esk15_3(X52,X53,X54),relation_dom(X54))
| ~ in(esk15_3(X52,X53,X54),relation_dom(X53))
| in(esk16_3(X52,X53,X54),relation_dom(X53)) )
& ( ~ function(X53)
| ~ relation(X53)
| ~ function(X54)
| ~ relation(X54)
| X53 != relation_rng_restriction(X52,X54)
| apply(X53,X57) = apply(X54,X57)
| ~ in(X57,relation_dom(X53)) )
& ( ~ function(X53)
| ~ relation(X53)
| ~ function(X54)
| ~ relation(X54)
| X53 != relation_rng_restriction(X52,X54)
| in(X56,relation_dom(X53))
| ~ in(apply(X54,X56),X52)
| ~ in(X56,relation_dom(X54)) )
& ( ~ function(X53)
| ~ relation(X53)
| ~ function(X54)
| ~ relation(X54)
| X53 != relation_rng_restriction(X52,X54)
| ~ in(X55,relation_dom(X53))
| in(apply(X54,X55),X52) )
& ( ~ function(X53)
| ~ relation(X53)
| ~ function(X54)
| ~ relation(X54)
| X53 != relation_rng_restriction(X52,X54)
| ~ in(X55,relation_dom(X53))
| in(X55,relation_dom(X54)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[t85_funct_1])])])])])])]) ).
fof(c_0_5,plain,
! [X29,X30] :
( relation(relation_rng_restriction(X29,X30))
| ~ relation(X30) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k8_relat_1])])]) ).
fof(c_0_6,plain,
! [X31,X32] :
( ( ~ function(X32)
| ~ relation(X32)
| function(relation_rng_restriction(X31,X32)) )
& ( ~ function(X32)
| ~ relation(X32)
| relation(relation_rng_restriction(X31,X32)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc5_funct_1])])])]) ).
fof(c_0_7,negated_conjecture,
~ ! [X1,X2,X3] :
( ( function(X3)
& relation(X3) )
=> ( in(X2,relation_dom(relation_rng_restriction(X1,X3)))
=> apply(relation_rng_restriction(X1,X3),X2) = apply(X3,X2) ) ),
inference(assume_negation,[status(cth)],[t87_funct_1]) ).
cnf(c_0_8,plain,
( ~ function(X2)
| ~ relation(X2)
| ~ function(X3)
| ~ relation(X3)
| X2 != relation_rng_restriction(X4,X3)
| ~ in(X1,relation_dom(X2))
| apply(X2,X1) = apply(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_9,plain,
( ~ relation(X1)
| relation(relation_rng_restriction(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_10,plain,
( ~ function(X2)
| ~ relation(X2)
| function(relation_rng_restriction(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_11,negated_conjecture,
( apply(relation_rng_restriction(esk12_0,esk14_0),esk13_0) != apply(esk14_0,esk13_0)
& in(esk13_0,relation_dom(relation_rng_restriction(esk12_0,esk14_0)))
& function(esk14_0)
& relation(esk14_0) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])])]) ).
cnf(c_0_12,plain,
( ~ relation(X2)
| ~ function(X2)
| ~ in(X3,relation_dom(relation_rng_restriction(X1,X2)))
| apply(relation_rng_restriction(X1,X2),X3) = apply(X2,X3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_8]),c_0_9]),c_0_10]) ).
cnf(c_0_13,negated_conjecture,
in(esk13_0,relation_dom(relation_rng_restriction(esk12_0,esk14_0))),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_14,negated_conjecture,
function(esk14_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_15,negated_conjecture,
relation(esk14_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_16,negated_conjecture,
apply(relation_rng_restriction(esk12_0,esk14_0),esk13_0) != apply(esk14_0,esk13_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_17,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14]),c_0_15])]),c_0_16]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SEU045+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/5.37 % Computer : n001.cluster.edu
% 0.11/5.37 % Model : x86_64 x86_64
% 0.11/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.37 % Memory : 8046.5625MB
% 0.11/5.37 % OS : Linux 6.8.0-71-generic
% 0.11/5.37 % CPULimit : 300
% 0.11/5.37 % WCLimit : 300
% 0.11/5.38 % DateTime : Mon Sep 21 05:53:35 UTC 2026
% 0.11/5.38 % CPUTime :
% 0.11/5.38 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/5.45 Running first-order theorem proving
% 0.16/5.45 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
% 0.16/5.52 % Version: 3.5.1
% 0.16/5.52 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/5.52 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/5.52 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/5.52 % Starting new_bool_3 with 300s (1) cores
% 0.16/5.52 % Starting new_bool_1 with 300s (1) cores
% 0.16/5.52 % Starting sh5l with 300s (1) cores
% 0.16/5.52 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 2323432 completed with status 0
% 0.16/5.52 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.16/5.52 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/5.52 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/5.52 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/5.52 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.16/5.52 % No SInE strategy applied
% 0.16/5.52 % Search class: FGHSM-FFMM31-SFFFFFNN
% 0.16/5.52 % Scheduled 11 strats onto 5 cores with 1500 seconds (1500 total)
% 0.16/5.52 % Starting SubtermCWHack with 136s (1) cores
% 0.16/5.52 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.16/5.52 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S4b with 136s (1) cores
% 0.16/5.52 % Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S0Y with 136s (1) cores
% 0.16/5.52 % Starting G-E--_208_B07----D_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.16/5.52 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 2323437 completed with status 0
% 0.16/5.52 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.16/5.52 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/5.52 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/5.52 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/5.52 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.16/5.52 % No SInE strategy applied
% 0.16/5.52 % Search class: FGHSM-FFMM31-SFFFFFNN
% 0.16/5.52 % Scheduled 11 strats onto 5 cores with 1500 seconds (1500 total)
% 0.16/5.52 % Starting SubtermCWHack with 136s (1) cores
% 0.16/5.52 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.16/5.52 % Preprocessing time : 0.003 s
% 0.16/5.52 % Presaturation interreduction done
% 0.16/5.52
% 0.16/5.52 % Proof found!
% 0.16/5.52 % SZS status Theorem
% 0.16/5.52 % SZS output start CNFRefutation
% See solution above
% 0.16/5.52 % Parsed axioms : 34
% 0.16/5.52 % Removed by relevancy pruning/SinE : 0
% 0.16/5.52 % Initial clauses : 64
% 0.16/5.52 % Removed in clause preprocessing : 2
% 0.16/5.52 % Initial clauses in saturation : 62
% 0.16/5.52 % Processed clauses : 171
% 0.16/5.52 % ...of these trivial : 4
% 0.16/5.52 % ...subsumed : 17
% 0.16/5.52 % ...remaining for further processing : 150
% 0.16/5.52 % Other redundant clauses eliminated : 4
% 0.16/5.52 % Clauses deleted for lack of memory : 0
% 0.16/5.52 % Backward-subsumed : 0
% 0.16/5.52 % Backward-rewritten : 10
% 0.16/5.52 % Generated clauses : 117
% 0.16/5.52 % ...of the previous two non-redundant : 102
% 0.16/5.52 % ...aggressively subsumed : 0
% 0.16/5.52 % Contextual simplify-reflections : 10
% 0.16/5.52 % Paramodulations : 113
% 0.16/5.52 % Factorizations : 0
% 0.16/5.52 % NegExts : 0
% 0.16/5.52 % Equation resolutions : 4
% 0.16/5.52 % Disequality decompositions : 0
% 0.16/5.52 % Total rewrite steps : 58
% 0.16/5.52 % ...of those cached : 43
% 0.16/5.52 % Propositional unsat checks : 0
% 0.16/5.52 % Propositional check models : 0
% 0.16/5.52 % Propositional check unsatisfiable : 0
% 0.16/5.52 % Propositional clauses : 0
% 0.16/5.52 % Propositional clauses after purity: 0
% 0.16/5.52 % Propositional unsat core size : 0
% 0.16/5.52 % Propositional preprocessing time : 0.000
% 0.16/5.52 % Propositional encoding time : 0.000
% 0.16/5.52 % Propositional solver time : 0.000
% 0.16/5.52 % Success case prop preproc time : 0.000
% 0.16/5.52 % Success case prop encoding time : 0.000
% 0.16/5.52 % Success case prop solver time : 0.000
% 0.16/5.52 % Current number of processed clauses : 78
% 0.16/5.52 % Positive orientable unit clauses : 26
% 0.16/5.52 % Positive unorientable unit clauses: 0
% 0.16/5.52 % Negative unit clauses : 13
% 0.16/5.52 % Non-unit-clauses : 39
% 0.16/5.52 % Current number of unprocessed clauses: 48
% 0.16/5.52 % ...number of literals in the above : 258
% 0.16/5.52 % Current number of archived formulas : 0
% 0.16/5.52 % Current number of archived clauses : 68
% 0.16/5.52 % Clause-clause subsumption calls (NU) : 836
% 0.16/5.52 % Rec. Clause-clause subsumption calls : 317
% 0.16/5.52 % Non-unit clause-clause subsumptions : 14
% 0.16/5.52 % Unit Clause-clause subsumption calls : 131
% 0.16/5.52 % Rewrite failures with RHS unbound : 0
% 0.16/5.52 % BW rewrite match attempts : 4
% 0.16/5.52 % BW rewrite match successes : 4
% 0.16/5.52 % Condensation attempts : 0
% 0.16/5.52 % Condensation successes : 0
% 0.16/5.52 % Termbank termtop insertions : 5763
% 0.16/5.52 % Search garbage collected termcells : 668
% 0.16/5.52
% 0.16/5.52 % -------------------------------------------------
% 0.16/5.52 % User time : 0.016 s
% 0.16/5.52 % System time : 0.007 s
% 0.16/5.52 % Total time : 0.023 s
% 0.16/5.52 % Maximum resident set size: 3660 pages
% 0.16/5.52
% 0.16/5.52 % -------------------------------------------------
% 0.16/5.52 % User time : 0.046 s
% 0.16/5.52 % System time : 0.019 s
% 0.16/5.52 % Total time : 0.066 s
% 0.16/5.52 % Maximum resident set size: 4608 pages
% 0.16/5.52 % E exiting
%------------------------------------------------------------------------------