%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SEU077+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 : n017.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 02:23:46 PM UTC 2026
% Result : Theorem 3.84s 1.00s
% Output : CNFRefutation 3.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 33 ( 6 unt; 0 def)
% Number of atoms : 173 ( 25 equ)
% Maximal formula atoms : 32 ( 5 avg)
% Number of connectives : 237 ( 97 ~; 104 |; 24 &)
% ( 5 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 3 con; 0-3 aty)
% Number of variables : 78 ( 0 sgn 35 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(d13_funct_1,axiom,
! [X1] :
( ( function(X1)
& relation(X1) )
=> ! [X2,X3] :
( X3 = relation_inverse_image(X1,X2)
<=> ! [X4] :
( in(X4,X3)
<=> ( in(apply(X1,X4),X2)
& in(X4,relation_dom(X1)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d13_funct_1) ).
fof(d5_funct_1,axiom,
! [X1] :
( ( function(X1)
& relation(X1) )
=> ! [X2] :
( X2 = relation_rng(X1)
<=> ! [X3] :
( in(X3,X2)
<=> ? [X4] :
( X3 = apply(X1,X4)
& in(X4,relation_dom(X1)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_funct_1) ).
fof(t158_funct_1,conjecture,
! [X1,X2,X3] :
( ( function(X3)
& relation(X3) )
=> ( ( subset(X1,relation_rng(X3))
& subset(relation_inverse_image(X3,X1),relation_inverse_image(X3,X2)) )
=> subset(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t158_funct_1) ).
fof(d3_tarski,axiom,
! [X1,X2] :
( subset(X1,X2)
<=> ! [X3] :
( in(X3,X1)
=> in(X3,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
fof(c_0_4,plain,
! [X10,X11,X12,X13,X14,X15,X16] :
( ( ~ function(X10)
| ~ relation(X10)
| X16 = relation_inverse_image(X10,X15)
| in(esk1_3(X10,X15,X16),X16)
| in(apply(X10,esk1_3(X10,X15,X16)),X15) )
& ( ~ function(X10)
| ~ relation(X10)
| X16 = relation_inverse_image(X10,X15)
| in(esk1_3(X10,X15,X16),X16)
| in(esk1_3(X10,X15,X16),relation_dom(X10)) )
& ( ~ function(X10)
| ~ relation(X10)
| X16 = relation_inverse_image(X10,X15)
| ~ in(apply(X10,esk1_3(X10,X15,X16)),X15)
| ~ in(esk1_3(X10,X15,X16),relation_dom(X10))
| ~ in(esk1_3(X10,X15,X16),X16) )
& ( ~ function(X10)
| ~ relation(X10)
| X12 != relation_inverse_image(X10,X11)
| in(X14,X12)
| ~ in(apply(X10,X14),X11)
| ~ in(X14,relation_dom(X10)) )
& ( ~ function(X10)
| ~ relation(X10)
| X12 != relation_inverse_image(X10,X11)
| ~ in(X13,X12)
| in(apply(X10,X13),X11) )
& ( ~ function(X10)
| ~ relation(X10)
| X12 != relation_inverse_image(X10,X11)
| ~ in(X13,X12)
| in(X13,relation_dom(X10)) ) ),
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)],[d13_funct_1])])])])])])]) ).
fof(c_0_5,plain,
! [X24,X25,X26,X28,X29,X30,X32] :
( ( ~ function(X24)
| ~ relation(X24)
| X30 = relation_rng(X24)
| in(esk4_2(X24,X30),X30)
| esk4_2(X24,X30) = apply(X24,esk5_2(X24,X30)) )
& ( ~ function(X24)
| ~ relation(X24)
| X30 = relation_rng(X24)
| in(esk4_2(X24,X30),X30)
| in(esk5_2(X24,X30),relation_dom(X24)) )
& ( ~ function(X24)
| ~ relation(X24)
| X30 = relation_rng(X24)
| esk4_2(X24,X30) != apply(X24,X32)
| ~ in(X32,relation_dom(X24))
| ~ in(esk4_2(X24,X30),X30) )
& ( ~ function(X24)
| ~ relation(X24)
| X25 != relation_rng(X24)
| in(X28,X25)
| X28 != apply(X24,X29)
| ~ in(X29,relation_dom(X24)) )
& ( ~ function(X24)
| ~ relation(X24)
| X25 != relation_rng(X24)
| ~ in(X26,X25)
| X26 = apply(X24,esk3_3(X24,X25,X26)) )
& ( ~ function(X24)
| ~ relation(X24)
| X25 != relation_rng(X24)
| ~ in(X26,X25)
| in(esk3_3(X24,X25,X26),relation_dom(X24)) ) ),
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)],[d5_funct_1])])])])])])]) ).
fof(c_0_6,negated_conjecture,
~ ! [X1,X2,X3] :
( ( function(X3)
& relation(X3) )
=> ( ( subset(X1,relation_rng(X3))
& subset(relation_inverse_image(X3,X1),relation_inverse_image(X3,X2)) )
=> subset(X1,X2) ) ),
inference(assume_negation,[status(cth)],[t158_funct_1]) ).
cnf(c_0_7,plain,
( ~ function(X1)
| ~ relation(X1)
| X4 != relation_inverse_image(X1,X3)
| ~ in(X2,X4)
| in(apply(X1,X2),X3) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8,plain,
( ~ function(X2)
| ~ relation(X2)
| X3 != relation_rng(X2)
| ~ in(X1,X3)
| X1 = apply(X2,esk3_3(X2,X3,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
fof(c_0_9,plain,
! [X18,X19,X20,X21,X22] :
( ( subset(X21,X22)
| ~ in(esk2_2(X21,X22),X22) )
& ( subset(X21,X22)
| in(esk2_2(X21,X22),X21) )
& ( in(X20,X19)
| ~ in(X20,X18)
| ~ subset(X18,X19) ) ),
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])])])])])])]) ).
fof(c_0_10,negated_conjecture,
( ~ subset(esk17_0,esk18_0)
& subset(esk17_0,relation_rng(esk19_0))
& subset(relation_inverse_image(esk19_0,esk17_0),relation_inverse_image(esk19_0,esk18_0))
& function(esk19_0)
& relation(esk19_0) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])])]) ).
cnf(c_0_11,plain,
( ~ in(X2,relation_inverse_image(X1,X3))
| ~ function(X1)
| ~ relation(X1)
| in(apply(X1,X2),X3) ),
inference(er,[status(thm)],[c_0_7]) ).
cnf(c_0_12,plain,
( ~ in(X2,relation_rng(X1))
| ~ function(X1)
| ~ relation(X1)
| apply(X1,esk3_3(X1,relation_rng(X1),X2)) = X2 ),
inference(er,[status(thm)],[c_0_8]) ).
cnf(c_0_13,plain,
( ~ in(X3,X1)
| ~ subset(X1,X2)
| in(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_14,negated_conjecture,
subset(relation_inverse_image(esk19_0,esk17_0),relation_inverse_image(esk19_0,esk18_0)),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_15,plain,
( ~ function(X2)
| ~ relation(X2)
| X4 != relation_inverse_image(X2,X3)
| ~ in(apply(X2,X1),X3)
| ~ in(X1,relation_dom(X2))
| in(X1,X4) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_16,plain,
( ~ function(X1)
| ~ relation(X1)
| X2 != relation_rng(X1)
| ~ in(X3,X2)
| in(esk3_3(X1,X2,X3),relation_dom(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_17,plain,
( ~ in(X1,relation_rng(X3))
| ~ in(esk3_3(X3,relation_rng(X3),X1),relation_inverse_image(X3,X2))
| ~ function(X3)
| ~ relation(X3)
| in(X1,X2) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_18,negated_conjecture,
( ~ in(X1,relation_inverse_image(esk19_0,esk17_0))
| in(X1,relation_inverse_image(esk19_0,esk18_0)) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_19,negated_conjecture,
relation(esk19_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_20,negated_conjecture,
function(esk19_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_21,plain,
( ~ in(X1,relation_dom(X2))
| ~ in(apply(X2,X1),X3)
| ~ function(X2)
| ~ relation(X2)
| in(X1,relation_inverse_image(X2,X3)) ),
inference(er,[status(thm)],[c_0_15]) ).
cnf(c_0_22,plain,
( ~ in(X2,relation_rng(X1))
| ~ function(X1)
| ~ relation(X1)
| in(esk3_3(X1,relation_rng(X1),X2),relation_dom(X1)) ),
inference(er,[status(thm)],[c_0_16]) ).
cnf(c_0_23,negated_conjecture,
subset(esk17_0,relation_rng(esk19_0)),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_24,negated_conjecture,
( ~ in(X1,relation_rng(esk19_0))
| ~ in(esk3_3(esk19_0,relation_rng(esk19_0),X1),relation_inverse_image(esk19_0,esk17_0))
| in(X1,esk18_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19]),c_0_20])]) ).
cnf(c_0_25,plain,
( ~ in(X2,X3)
| ~ in(X2,relation_rng(X1))
| ~ function(X1)
| ~ relation(X1)
| in(esk3_3(X1,relation_rng(X1),X2),relation_inverse_image(X1,X3)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_12]),c_0_22]) ).
cnf(c_0_26,negated_conjecture,
( ~ in(X1,esk17_0)
| in(X1,relation_rng(esk19_0)) ),
inference(spm,[status(thm)],[c_0_13,c_0_23]) ).
cnf(c_0_27,plain,
( ~ in(esk2_2(X1,X2),X2)
| subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_28,negated_conjecture,
( ~ in(X1,esk17_0)
| in(X1,esk18_0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_19]),c_0_20])]),c_0_26]) ).
cnf(c_0_29,negated_conjecture,
( ~ in(esk2_2(X1,esk18_0),esk17_0)
| subset(X1,esk18_0) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_30,plain,
( subset(X1,X2)
| in(esk2_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_31,negated_conjecture,
~ subset(esk17_0,esk18_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_32,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SEU077+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.07 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.20/0.44 % Computer : n017.cluster.edu
% 0.20/0.44 % Model : x86_64 x86_64
% 0.20/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.44 % Memory : 8046.5625MB
% 0.20/0.44 % OS : Linux 6.8.0-71-generic
% 0.20/0.44 % CPULimit : 300
% 0.20/0.44 % WCLimit : 300
% 0.20/0.44 % DateTime : Mon Sep 21 05:44:41 UTC 2026
% 0.20/0.44 % CPUTime :
% 0.20/0.44 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.22/0.52 Running first-order theorem proving
% 0.22/0.52 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
% 3.84/1.00 % Version: 3.5.1
% 3.84/1.00 % Preprocessing class: FSMSSMSSSSSNFFN.
% 3.84/1.00 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.84/1.00 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 3.84/1.00 % Starting new_bool_3 with 300s (1) cores
% 3.84/1.00 % Starting new_bool_1 with 300s (1) cores
% 3.84/1.00 % Starting sh5l with 300s (1) cores
% 3.84/1.00 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 1561110 completed with status 0
% 3.84/1.00 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 3.84/1.00 % Preprocessing class: FSMSSMSSSSSNFFN.
% 3.84/1.00 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.84/1.00 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 3.84/1.00 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 3.84/1.00 % No SInE strategy applied
% 3.84/1.00 % Search class: FGHSM-FFMM31-SFFFFFNN
% 3.84/1.00 % Scheduled 11 strats onto 5 cores with 1500 seconds (1500 total)
% 3.84/1.00 % Starting SubtermCWHack with 136s (1) cores
% 3.84/1.00 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 3.84/1.00 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S4b with 136s (1) cores
% 3.84/1.00 % Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S0Y with 136s (1) cores
% 3.84/1.00 % Starting G-E--_208_B07----D_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 3.84/1.00 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 1561117 completed with status 0
% 3.84/1.00 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 3.84/1.00 % Preprocessing class: FSMSSMSSSSSNFFN.
% 3.84/1.00 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.84/1.00 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 3.84/1.00 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 3.84/1.00 % No SInE strategy applied
% 3.84/1.00 % Search class: FGHSM-FFMM31-SFFFFFNN
% 3.84/1.00 % Scheduled 11 strats onto 5 cores with 1500 seconds (1500 total)
% 3.84/1.00 % Starting SubtermCWHack with 136s (1) cores
% 3.84/1.00 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 3.84/1.00 % Preprocessing time : 0.003 s
% 3.84/1.00 % Presaturation interreduction done
% 3.84/1.00
% 3.84/1.00 % Proof found!
% 3.84/1.00 % SZS status Theorem
% 3.84/1.00 % SZS output start CNFRefutation
% See solution above
% 3.84/1.00 % Parsed axioms : 36
% 3.84/1.00 % Removed by relevancy pruning/SinE : 0
% 3.84/1.00 % Initial clauses : 70
% 3.84/1.00 % Removed in clause preprocessing : 2
% 3.84/1.00 % Initial clauses in saturation : 68
% 3.84/1.00 % Processed clauses : 3483
% 3.84/1.00 % ...of these trivial : 4
% 3.84/1.00 % ...subsumed : 2785
% 3.84/1.00 % ...remaining for further processing : 694
% 3.84/1.00 % Other redundant clauses eliminated : 7
% 3.84/1.00 % Clauses deleted for lack of memory : 0
% 3.84/1.00 % Backward-subsumed : 100
% 3.84/1.00 % Backward-rewritten : 23
% 3.84/1.00 % Generated clauses : 11909
% 3.84/1.00 % ...of the previous two non-redundant : 10803
% 3.84/1.00 % ...aggressively subsumed : 0
% 3.84/1.00 % Contextual simplify-reflections : 22
% 3.84/1.00 % Paramodulations : 11897
% 3.84/1.00 % Factorizations : 6
% 3.84/1.00 % NegExts : 0
% 3.84/1.00 % Equation resolutions : 7
% 3.84/1.00 % Disequality decompositions : 0
% 3.84/1.00 % Total rewrite steps : 5329
% 3.84/1.00 % ...of those cached : 5257
% 3.84/1.00 % Propositional unsat checks : 0
% 3.84/1.00 % Propositional check models : 0
% 3.84/1.00 % Propositional check unsatisfiable : 0
% 3.84/1.00 % Propositional clauses : 0
% 3.84/1.00 % Propositional clauses after purity: 0
% 3.84/1.00 % Propositional unsat core size : 0
% 3.84/1.00 % Propositional preprocessing time : 0.000
% 3.84/1.00 % Propositional encoding time : 0.000
% 3.84/1.00 % Propositional solver time : 0.000
% 3.84/1.00 % Success case prop preproc time : 0.000
% 3.84/1.00 % Success case prop encoding time : 0.000
% 3.84/1.00 % Success case prop solver time : 0.000
% 3.84/1.00 % Current number of processed clauses : 500
% 3.84/1.00 % Positive orientable unit clauses : 42
% 3.84/1.00 % Positive unorientable unit clauses: 0
% 3.84/1.00 % Negative unit clauses : 17
% 3.84/1.00 % Non-unit-clauses : 441
% 3.84/1.00 % Current number of unprocessed clauses: 7231
% 3.84/1.00 % ...number of literals in the above : 34584
% 3.84/1.00 % Current number of archived formulas : 0
% 3.84/1.00 % Current number of archived clauses : 188
% 3.84/1.00 % Clause-clause subsumption calls (NU) : 70483
% 3.84/1.00 % Rec. Clause-clause subsumption calls : 33570
% 3.84/1.00 % Non-unit clause-clause subsumptions : 2241
% 3.84/1.00 % Unit Clause-clause subsumption calls : 1274
% 3.84/1.00 % Rewrite failures with RHS unbound : 0
% 3.84/1.00 % BW rewrite match attempts : 25
% 3.84/1.00 % BW rewrite match successes : 18
% 3.84/1.00 % Condensation attempts : 0
% 3.84/1.00 % Condensation successes : 0
% 3.84/1.00 % Termbank termtop insertions : 160879
% 3.84/1.00 % Search garbage collected termcells : 833
% 3.84/1.00
% 3.84/1.00 % -------------------------------------------------
% 3.84/1.00 % User time : 0.441 s
% 3.84/1.00 % System time : 0.015 s
% 3.84/1.00 % Total time : 0.456 s
% 3.84/1.00 % Maximum resident set size: 3404 pages
% 3.84/1.00
% 3.84/1.00 % -------------------------------------------------
% 3.84/1.00 % User time : 2.104 s
% 3.84/1.00 % System time : 0.085 s
% 3.84/1.00 % Total time : 2.190 s
% 3.84/1.00 % Maximum resident set size: 4864 pages
% 3.84/1.00 % E exiting
%------------------------------------------------------------------------------