%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SEU046+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n007.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 02:23:43 PM UTC 2026
% Result : Theorem 0.10s 0.47s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 27 ( 6 unt; 0 def)
% Number of atoms : 159 ( 17 equ)
% Maximal formula atoms : 79 ( 5 avg)
% Number of connectives : 220 ( 88 ~; 96 |; 24 &)
% ( 3 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 2 con; 0-3 aty)
% Number of variables : 52 ( 5 sgn 35 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t89_funct_1,conjecture,
! [X1,X2] :
( ( function(X2)
& relation(X2) )
=> ( subset(relation_rng(relation_rng_restriction(X1,X2)),relation_rng(X2))
& subset(relation_dom(relation_rng_restriction(X1,X2)),relation_dom(X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t89_funct_1) ).
fof(t118_relat_1,axiom,
! [X1,X2] :
( relation(X2)
=> subset(relation_rng(relation_rng_restriction(X1,X2)),relation_rng(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t118_relat_1) ).
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/sandbox/benchmark/theBenchmark.p',t85_funct_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/sandbox/benchmark/theBenchmark.p',fc5_funct_1) ).
fof(dt_k8_relat_1,axiom,
! [X1,X2] :
( relation(X2)
=> relation(relation_rng_restriction(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k8_relat_1) ).
fof(d3_tarski,axiom,
! [X1,X2] :
( subset(X1,X2)
<=> ! [X3] :
( in(X3,X1)
=> in(X3,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
fof(c_0_6,negated_conjecture,
~ ! [X1,X2] :
( ( function(X2)
& relation(X2) )
=> ( subset(relation_rng(relation_rng_restriction(X1,X2)),relation_rng(X2))
& subset(relation_dom(relation_rng_restriction(X1,X2)),relation_dom(X2)) ) ),
inference(assume_negation,[status(cth)],[t89_funct_1]) ).
fof(c_0_7,negated_conjecture,
( ( ~ subset(relation_rng(relation_rng_restriction(esk15_0,esk16_0)),relation_rng(esk16_0))
| ~ subset(relation_dom(relation_rng_restriction(esk15_0,esk16_0)),relation_dom(esk16_0)) )
& function(esk16_0)
& relation(esk16_0) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])])]) ).
fof(c_0_8,plain,
! [X40,X41] :
( subset(relation_rng(relation_rng_restriction(X40,X41)),relation_rng(X41))
| ~ relation(X41) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t118_relat_1])])]) ).
fof(c_0_9,plain,
! [X57,X58,X59,X60,X61,X62] :
( ( ~ function(X58)
| ~ relation(X58)
| ~ function(X59)
| ~ relation(X59)
| X58 = relation_rng_restriction(X57,X59)
| in(esk13_3(X57,X58,X59),relation_dom(X58))
| in(apply(X59,esk13_3(X57,X58,X59)),X57)
| apply(X58,esk14_3(X57,X58,X59)) != apply(X59,esk14_3(X57,X58,X59)) )
& ( ~ function(X58)
| ~ relation(X58)
| ~ function(X59)
| ~ relation(X59)
| X58 = relation_rng_restriction(X57,X59)
| in(esk13_3(X57,X58,X59),relation_dom(X58))
| in(apply(X59,esk13_3(X57,X58,X59)),X57)
| in(esk14_3(X57,X58,X59),relation_dom(X58)) )
& ( ~ function(X58)
| ~ relation(X58)
| ~ function(X59)
| ~ relation(X59)
| X58 = relation_rng_restriction(X57,X59)
| in(esk13_3(X57,X58,X59),relation_dom(X58))
| in(esk13_3(X57,X58,X59),relation_dom(X59))
| apply(X58,esk14_3(X57,X58,X59)) != apply(X59,esk14_3(X57,X58,X59)) )
& ( ~ function(X58)
| ~ relation(X58)
| ~ function(X59)
| ~ relation(X59)
| X58 = relation_rng_restriction(X57,X59)
| in(esk13_3(X57,X58,X59),relation_dom(X58))
| in(esk13_3(X57,X58,X59),relation_dom(X59))
| in(esk14_3(X57,X58,X59),relation_dom(X58)) )
& ( ~ function(X58)
| ~ relation(X58)
| ~ function(X59)
| ~ relation(X59)
| X58 = relation_rng_restriction(X57,X59)
| ~ in(apply(X59,esk13_3(X57,X58,X59)),X57)
| ~ in(esk13_3(X57,X58,X59),relation_dom(X59))
| ~ in(esk13_3(X57,X58,X59),relation_dom(X58))
| apply(X58,esk14_3(X57,X58,X59)) != apply(X59,esk14_3(X57,X58,X59)) )
& ( ~ function(X58)
| ~ relation(X58)
| ~ function(X59)
| ~ relation(X59)
| X58 = relation_rng_restriction(X57,X59)
| ~ in(apply(X59,esk13_3(X57,X58,X59)),X57)
| ~ in(esk13_3(X57,X58,X59),relation_dom(X59))
| ~ in(esk13_3(X57,X58,X59),relation_dom(X58))
| in(esk14_3(X57,X58,X59),relation_dom(X58)) )
& ( ~ function(X58)
| ~ relation(X58)
| ~ function(X59)
| ~ relation(X59)
| X58 != relation_rng_restriction(X57,X59)
| apply(X58,X62) = apply(X59,X62)
| ~ in(X62,relation_dom(X58)) )
& ( ~ function(X58)
| ~ relation(X58)
| ~ function(X59)
| ~ relation(X59)
| X58 != relation_rng_restriction(X57,X59)
| in(X61,relation_dom(X58))
| ~ in(apply(X59,X61),X57)
| ~ in(X61,relation_dom(X59)) )
& ( ~ function(X58)
| ~ relation(X58)
| ~ function(X59)
| ~ relation(X59)
| X58 != relation_rng_restriction(X57,X59)
| ~ in(X60,relation_dom(X58))
| in(apply(X59,X60),X57) )
& ( ~ function(X58)
| ~ relation(X58)
| ~ function(X59)
| ~ relation(X59)
| X58 != relation_rng_restriction(X57,X59)
| ~ in(X60,relation_dom(X58))
| in(X60,relation_dom(X59)) ) ),
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_10,plain,
! [X21,X22] :
( ( ~ function(X22)
| ~ relation(X22)
| function(relation_rng_restriction(X21,X22)) )
& ( ~ function(X22)
| ~ relation(X22)
| relation(relation_rng_restriction(X21,X22)) ) ),
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_11,plain,
! [X16,X17] :
( relation(relation_rng_restriction(X16,X17))
| ~ relation(X17) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k8_relat_1])])]) ).
cnf(c_0_12,negated_conjecture,
( ~ subset(relation_rng(relation_rng_restriction(esk15_0,esk16_0)),relation_rng(esk16_0))
| ~ subset(relation_dom(relation_rng_restriction(esk15_0,esk16_0)),relation_dom(esk16_0)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_13,plain,
( ~ relation(X1)
| subset(relation_rng(relation_rng_restriction(X2,X1)),relation_rng(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_14,negated_conjecture,
relation(esk16_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_15,plain,
! [X10,X11,X12,X13,X14] :
( ( subset(X13,X14)
| ~ in(esk1_2(X13,X14),X14) )
& ( subset(X13,X14)
| in(esk1_2(X13,X14),X13) )
& ( in(X12,X11)
| ~ in(X12,X10)
| ~ subset(X10,X11) ) ),
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)],[d3_tarski])])])])])])]) ).
cnf(c_0_16,plain,
( ~ function(X3)
| ~ relation(X3)
| ~ function(X2)
| ~ relation(X2)
| X3 != relation_rng_restriction(X4,X2)
| ~ in(X1,relation_dom(X3))
| in(X1,relation_dom(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_17,plain,
( ~ function(X2)
| ~ relation(X2)
| function(relation_rng_restriction(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_18,plain,
( ~ relation(X1)
| relation(relation_rng_restriction(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_19,negated_conjecture,
~ subset(relation_dom(relation_rng_restriction(esk15_0,esk16_0)),relation_dom(esk16_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14])]) ).
cnf(c_0_20,plain,
( subset(X1,X2)
| in(esk1_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_21,plain,
( ~ in(esk1_2(X1,X2),X2)
| subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_22,plain,
( ~ in(X1,relation_dom(relation_rng_restriction(X3,X2)))
| ~ function(X2)
| ~ relation(X2)
| in(X1,relation_dom(X2)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_16]),c_0_17]),c_0_18]) ).
cnf(c_0_23,negated_conjecture,
in(esk1_2(relation_dom(relation_rng_restriction(esk15_0,esk16_0)),relation_dom(esk16_0)),relation_dom(relation_rng_restriction(esk15_0,esk16_0))),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_24,negated_conjecture,
function(esk16_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_25,negated_conjecture,
~ in(esk1_2(relation_dom(relation_rng_restriction(esk15_0,esk16_0)),relation_dom(esk16_0)),relation_dom(esk16_0)),
inference(spm,[status(thm)],[c_0_19,c_0_21]) ).
cnf(c_0_26,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_22,c_0_23]),c_0_14]),c_0_24])]),c_0_25]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU046+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n007.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 05:45:50 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 Running: /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p
% 0.10/0.47 % Version: 3.5.1
% 0.10/0.47 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.10/0.47 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.10/0.47 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.10/0.47 % Starting new_bool_3 with 300s (1) cores
% 0.10/0.47 % Starting new_bool_1 with 300s (1) cores
% 0.10/0.47 % Starting sh5l with 300s (1) cores
% 0.10/0.47 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 304931 completed with status 0
% 0.10/0.47 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.10/0.47 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.10/0.47 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.10/0.47 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.10/0.47 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.10/0.47 % No SInE strategy applied
% 0.10/0.47 % Search class: FGHSM-FFMM31-SFFFFFNN
% 0.10/0.47 % Scheduled 11 strats onto 5 cores with 1500 seconds (1500 total)
% 0.10/0.47 % Starting SubtermCWHack with 136s (1) cores
% 0.10/0.47 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.10/0.47 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S4b with 136s (1) cores
% 0.10/0.47 % Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S0Y with 136s (1) cores
% 0.10/0.47 % Starting G-E--_208_B07----D_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.10/0.47 % G-E--_208_B07----D_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 304943 completed with status 0
% 0.10/0.47 % Result found by G-E--_208_B07----D_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.10/0.47 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.10/0.47 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.10/0.47 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.10/0.47 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.10/0.47 % No SInE strategy applied
% 0.10/0.47 % Search class: FGHSM-FFMM31-SFFFFFNN
% 0.10/0.47 % Scheduled 11 strats onto 5 cores with 1500 seconds (1500 total)
% 0.10/0.47 % Starting SubtermCWHack with 136s (1) cores
% 0.10/0.47 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.10/0.47 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S4b with 136s (1) cores
% 0.10/0.47 % Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S0Y with 136s (1) cores
% 0.10/0.47 % Starting G-E--_208_B07----D_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.10/0.47 % Preprocessing time : 0.002 s
% 0.10/0.47 % Presaturation interreduction done
% 0.10/0.47
% 0.10/0.47 % Proof found!
% 0.10/0.47 % SZS status Theorem
% 0.10/0.47 % SZS output start CNFRefutation
% See solution above
% 0.10/0.47 % Parsed axioms : 38
% 0.10/0.47 % Removed by relevancy pruning/SinE : 0
% 0.10/0.47 % Initial clauses : 70
% 0.10/0.47 % Removed in clause preprocessing : 2
% 0.10/0.47 % Initial clauses in saturation : 68
% 0.10/0.47 % Processed clauses : 193
% 0.10/0.47 % ...of these trivial : 3
% 0.10/0.47 % ...subsumed : 29
% 0.10/0.47 % ...remaining for further processing : 161
% 0.10/0.47 % Other redundant clauses eliminated : 4
% 0.10/0.47 % Clauses deleted for lack of memory : 0
% 0.10/0.47 % Backward-subsumed : 7
% 0.10/0.47 % Backward-rewritten : 8
% 0.10/0.47 % Generated clauses : 120
% 0.10/0.47 % ...of the previous two non-redundant : 108
% 0.10/0.47 % ...aggressively subsumed : 0
% 0.10/0.47 % Contextual simplify-reflections : 10
% 0.10/0.47 % Paramodulations : 116
% 0.10/0.47 % Factorizations : 0
% 0.10/0.47 % NegExts : 0
% 0.10/0.47 % Equation resolutions : 4
% 0.10/0.47 % Disequality decompositions : 0
% 0.10/0.47 % Total rewrite steps : 36
% 0.10/0.47 % ...of those cached : 23
% 0.10/0.47 % Propositional unsat checks : 0
% 0.10/0.47 % Propositional check models : 0
% 0.10/0.47 % Propositional check unsatisfiable : 0
% 0.10/0.47 % Propositional clauses : 0
% 0.10/0.47 % Propositional clauses after purity: 0
% 0.10/0.47 % Propositional unsat core size : 0
% 0.10/0.47 % Propositional preprocessing time : 0.000
% 0.10/0.47 % Propositional encoding time : 0.000
% 0.10/0.47 % Propositional solver time : 0.000
% 0.10/0.47 % Success case prop preproc time : 0.000
% 0.10/0.47 % Success case prop encoding time : 0.000
% 0.10/0.47 % Success case prop solver time : 0.000
% 0.10/0.47 % Current number of processed clauses : 78
% 0.10/0.47 % Positive orientable unit clauses : 25
% 0.10/0.47 % Positive unorientable unit clauses: 0
% 0.10/0.47 % Negative unit clauses : 12
% 0.10/0.47 % Non-unit-clauses : 41
% 0.10/0.47 % Current number of unprocessed clauses: 32
% 0.10/0.47 % ...number of literals in the above : 122
% 0.10/0.47 % Current number of archived formulas : 0
% 0.10/0.47 % Current number of archived clauses : 79
% 0.10/0.47 % Clause-clause subsumption calls (NU) : 1241
% 0.10/0.47 % Rec. Clause-clause subsumption calls : 532
% 0.10/0.47 % Non-unit clause-clause subsumptions : 23
% 0.10/0.47 % Unit Clause-clause subsumption calls : 141
% 0.10/0.47 % Rewrite failures with RHS unbound : 0
% 0.10/0.47 % BW rewrite match attempts : 13
% 0.10/0.47 % BW rewrite match successes : 4
% 0.10/0.47 % Condensation attempts : 0
% 0.10/0.47 % Condensation successes : 0
% 0.10/0.47 % Termbank termtop insertions : 5654
% 0.10/0.47 % Search garbage collected termcells : 772
% 0.10/0.47
% 0.10/0.47 % -------------------------------------------------
% 0.10/0.47 % User time : 0.019 s
% 0.10/0.47 % System time : 0.002 s
% 0.10/0.48 % Total time : 0.021 s
% 0.10/0.48 % Maximum resident set size: 3664 pages
% 0.10/0.48
% 0.10/0.48 % -------------------------------------------------
% 0.10/0.48 % User time : 0.108 s
% 0.10/0.48 % System time : 0.013 s
% 0.10/0.48 % Total time : 0.122 s
% 0.10/0.48 % Maximum resident set size: 4864 pages
% 0.10/0.48 % E exiting
%------------------------------------------------------------------------------