%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SEU076+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 02:23:46 PM UTC 2026
% Result : Theorem 6.22s 1.83s
% Output : CNFRefutation 6.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 35 ( 7 unt; 0 def)
% Number of atoms : 192 ( 30 equ)
% Maximal formula atoms : 44 ( 5 avg)
% Number of connectives : 264 ( 107 ~; 115 |; 30 &)
% ( 4 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 3 con; 0-4 aty)
% Number of variables : 84 ( 0 sgn 33 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(d12_funct_1,axiom,
! [X1] :
( ( function(X1)
& relation(X1) )
=> ! [X2,X3] :
( X3 = relation_image(X1,X2)
<=> ! [X4] :
( in(X4,X3)
<=> ? [X5] :
( X4 = apply(X1,X5)
& in(X5,X2)
& in(X5,relation_dom(X1)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d12_funct_1) ).
fof(d8_funct_1,axiom,
! [X1] :
( ( function(X1)
& relation(X1) )
=> ( one_to_one(X1)
<=> ! [X2,X3] :
( ( apply(X1,X2) = apply(X1,X3)
& in(X3,relation_dom(X1))
& in(X2,relation_dom(X1)) )
=> X2 = X3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d8_funct_1) ).
fof(t157_funct_1,conjecture,
! [X1,X2,X3] :
( ( function(X3)
& relation(X3) )
=> ( ( one_to_one(X3)
& subset(X1,relation_dom(X3))
& subset(relation_image(X3,X1),relation_image(X3,X2)) )
=> subset(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t157_funct_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_4,plain,
! [X11,X12,X13,X14,X16,X17,X18,X19,X21] :
( ( ~ function(X11)
| ~ relation(X11)
| X19 = relation_image(X11,X18)
| in(esk2_3(X11,X18,X19),X19)
| esk2_3(X11,X18,X19) = apply(X11,esk3_3(X11,X18,X19)) )
& ( ~ function(X11)
| ~ relation(X11)
| X19 = relation_image(X11,X18)
| in(esk2_3(X11,X18,X19),X19)
| in(esk3_3(X11,X18,X19),X18) )
& ( ~ function(X11)
| ~ relation(X11)
| X19 = relation_image(X11,X18)
| in(esk2_3(X11,X18,X19),X19)
| in(esk3_3(X11,X18,X19),relation_dom(X11)) )
& ( ~ function(X11)
| ~ relation(X11)
| X19 = relation_image(X11,X18)
| esk2_3(X11,X18,X19) != apply(X11,X21)
| ~ in(X21,X18)
| ~ in(X21,relation_dom(X11))
| ~ in(esk2_3(X11,X18,X19),X19) )
& ( ~ function(X11)
| ~ relation(X11)
| X13 != relation_image(X11,X12)
| in(X16,X13)
| X16 != apply(X11,X17)
| ~ in(X17,X12)
| ~ in(X17,relation_dom(X11)) )
& ( ~ function(X11)
| ~ relation(X11)
| X13 != relation_image(X11,X12)
| ~ in(X14,X13)
| X14 = apply(X11,esk1_4(X11,X12,X13,X14)) )
& ( ~ function(X11)
| ~ relation(X11)
| X13 != relation_image(X11,X12)
| ~ in(X14,X13)
| in(esk1_4(X11,X12,X13,X14),X12) )
& ( ~ function(X11)
| ~ relation(X11)
| X13 != relation_image(X11,X12)
| ~ in(X14,X13)
| in(esk1_4(X11,X12,X13,X14),relation_dom(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)],[d12_funct_1])])])])])])]) ).
fof(c_0_5,plain,
! [X29,X30,X31] :
( ( ~ function(X29)
| ~ relation(X29)
| one_to_one(X29)
| esk5_1(X29) != esk6_1(X29) )
& ( ~ function(X29)
| ~ relation(X29)
| one_to_one(X29)
| apply(X29,esk5_1(X29)) = apply(X29,esk6_1(X29)) )
& ( ~ function(X29)
| ~ relation(X29)
| one_to_one(X29)
| in(esk6_1(X29),relation_dom(X29)) )
& ( ~ function(X29)
| ~ relation(X29)
| one_to_one(X29)
| in(esk5_1(X29),relation_dom(X29)) )
& ( ~ function(X29)
| ~ relation(X29)
| X30 = X31
| apply(X29,X30) != apply(X29,X31)
| ~ in(X31,relation_dom(X29))
| ~ in(X30,relation_dom(X29))
| ~ one_to_one(X29) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d8_funct_1])])])])])]) ).
cnf(c_0_6,plain,
( ~ function(X2)
| ~ relation(X2)
| X4 != relation_image(X2,X3)
| ~ in(X1,X4)
| X1 = apply(X2,esk1_4(X2,X3,X4,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,plain,
( ~ function(X1)
| ~ relation(X1)
| X3 != relation_image(X1,X2)
| ~ in(X4,X3)
| in(esk1_4(X1,X2,X3,X4),relation_dom(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
fof(c_0_8,negated_conjecture,
~ ! [X1,X2,X3] :
( ( function(X3)
& relation(X3) )
=> ( ( one_to_one(X3)
& subset(X1,relation_dom(X3))
& subset(relation_image(X3,X1),relation_image(X3,X2)) )
=> subset(X1,X2) ) ),
inference(assume_negation,[status(cth)],[t157_funct_1]) ).
cnf(c_0_9,plain,
( ~ function(X1)
| ~ relation(X1)
| X3 != relation_image(X1,X2)
| ~ in(X4,X3)
| in(esk1_4(X1,X2,X3,X4),X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_10,plain,
( ~ function(X1)
| ~ relation(X1)
| apply(X1,X2) != apply(X1,X3)
| ~ in(X3,relation_dom(X1))
| ~ in(X2,relation_dom(X1))
| ~ one_to_one(X1)
| X2 = X3 ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_11,plain,
( ~ in(X3,relation_image(X1,X2))
| ~ function(X1)
| ~ relation(X1)
| apply(X1,esk1_4(X1,X2,relation_image(X1,X2),X3)) = X3 ),
inference(er,[status(thm)],[c_0_6]) ).
cnf(c_0_12,plain,
( ~ in(X3,relation_image(X1,X2))
| ~ function(X1)
| ~ relation(X1)
| in(esk1_4(X1,X2,relation_image(X1,X2),X3),relation_dom(X1)) ),
inference(er,[status(thm)],[c_0_7]) ).
fof(c_0_13,plain,
! [X23,X24,X25,X26,X27] :
( ( subset(X26,X27)
| ~ in(esk4_2(X26,X27),X27) )
& ( subset(X26,X27)
| in(esk4_2(X26,X27),X26) )
& ( in(X25,X24)
| ~ in(X25,X23)
| ~ subset(X23,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)],[d3_tarski])])])])])])]) ).
fof(c_0_14,negated_conjecture,
( ~ subset(esk18_0,esk19_0)
& one_to_one(esk20_0)
& subset(esk18_0,relation_dom(esk20_0))
& subset(relation_image(esk20_0,esk18_0),relation_image(esk20_0,esk19_0))
& function(esk20_0)
& relation(esk20_0) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])])]) ).
cnf(c_0_15,plain,
( ~ in(X3,relation_image(X1,X2))
| ~ function(X1)
| ~ relation(X1)
| in(esk1_4(X1,X2,relation_image(X1,X2),X3),X2) ),
inference(er,[status(thm)],[c_0_9]) ).
cnf(c_0_16,plain,
( ~ in(X3,relation_dom(X1))
| ~ in(apply(X1,X3),relation_image(X1,X2))
| ~ function(X1)
| ~ relation(X1)
| ~ one_to_one(X1)
| esk1_4(X1,X2,relation_image(X1,X2),apply(X1,X3)) = X3 ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11])]),c_0_12]) ).
cnf(c_0_17,plain,
( ~ in(X3,X1)
| ~ subset(X1,X2)
| in(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_18,negated_conjecture,
subset(relation_image(esk20_0,esk18_0),relation_image(esk20_0,esk19_0)),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_19,plain,
( ~ in(X1,relation_dom(X3))
| ~ in(apply(X3,X1),relation_image(X3,X2))
| ~ function(X3)
| ~ relation(X3)
| ~ one_to_one(X3)
| in(X1,X2) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_20,negated_conjecture,
( ~ in(X1,relation_image(esk20_0,esk18_0))
| in(X1,relation_image(esk20_0,esk19_0)) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_21,negated_conjecture,
one_to_one(esk20_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_22,negated_conjecture,
relation(esk20_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_23,negated_conjecture,
function(esk20_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_24,plain,
( ~ function(X2)
| ~ relation(X2)
| X5 != relation_image(X2,X3)
| X4 != apply(X2,X1)
| ~ in(X1,X3)
| ~ in(X1,relation_dom(X2))
| in(X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_25,negated_conjecture,
subset(esk18_0,relation_dom(esk20_0)),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_26,negated_conjecture,
( ~ in(X1,relation_dom(esk20_0))
| ~ in(apply(esk20_0,X1),relation_image(esk20_0,esk18_0))
| in(X1,esk19_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21]),c_0_22]),c_0_23])]) ).
cnf(c_0_27,plain,
( ~ in(X2,X3)
| ~ in(X2,relation_dom(X1))
| ~ function(X1)
| ~ relation(X1)
| in(apply(X1,X2),relation_image(X1,X3)) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_24])]) ).
cnf(c_0_28,negated_conjecture,
( ~ in(X1,esk18_0)
| in(X1,relation_dom(esk20_0)) ),
inference(spm,[status(thm)],[c_0_17,c_0_25]) ).
cnf(c_0_29,plain,
( ~ in(esk4_2(X1,X2),X2)
| subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_30,negated_conjecture,
( ~ in(X1,esk18_0)
| in(X1,esk19_0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_22]),c_0_23])]),c_0_28]) ).
cnf(c_0_31,negated_conjecture,
( ~ in(esk4_2(X1,esk19_0),esk18_0)
| subset(X1,esk19_0) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_32,plain,
( subset(X1,X2)
| in(esk4_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_33,negated_conjecture,
~ subset(esk18_0,esk19_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
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 : SEU076+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.08 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.20/0.52 % Computer : n007.cluster.edu
% 0.20/0.52 % Model : x86_64 x86_64
% 0.20/0.52 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.52 % Memory : 8046.5625MB
% 0.20/0.52 % OS : Linux 6.8.0-71-generic
% 0.20/0.52 % CPULimit : 300
% 0.20/0.52 % WCLimit : 300
% 0.20/0.52 % DateTime : Mon Sep 21 05:47:06 UTC 2026
% 0.20/0.53 % CPUTime :
% 0.20/0.53 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.20/0.60 Running first-order theorem proving
% 0.20/0.60 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
% 6.22/1.83 % Version: 3.5.1
% 6.22/1.83 % Preprocessing class: FSMSSMSSSSSNFFN.
% 6.22/1.83 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 6.22/1.83 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 6.22/1.83 % Starting new_bool_3 with 300s (1) cores
% 6.22/1.83 % Starting new_bool_1 with 300s (1) cores
% 6.22/1.83 % Starting sh5l with 300s (1) cores
% 6.22/1.83 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 306978 completed with status 0
% 6.22/1.83 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 6.22/1.83 % Preprocessing class: FSMSSMSSSSSNFFN.
% 6.22/1.83 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 6.22/1.83 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 6.22/1.83 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 6.22/1.83 % No SInE strategy applied
% 6.22/1.83 % Search class: FGHSM-FFMM31-SFFFFFNN
% 6.22/1.83 % Scheduled 11 strats onto 5 cores with 1500 seconds (1500 total)
% 6.22/1.83 % Starting SubtermCWHack with 136s (1) cores
% 6.22/1.83 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 6.22/1.83 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S4b with 136s (1) cores
% 6.22/1.83 % Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S0Y with 136s (1) cores
% 6.22/1.83 % Starting G-E--_208_B07----D_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 6.22/1.83 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 306983 completed with status 0
% 6.22/1.83 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 6.22/1.83 % Preprocessing class: FSMSSMSSSSSNFFN.
% 6.22/1.83 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 6.22/1.83 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 6.22/1.83 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 6.22/1.83 % No SInE strategy applied
% 6.22/1.83 % Search class: FGHSM-FFMM31-SFFFFFNN
% 6.22/1.83 % Scheduled 11 strats onto 5 cores with 1500 seconds (1500 total)
% 6.22/1.83 % Starting SubtermCWHack with 136s (1) cores
% 6.22/1.83 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 6.22/1.83 % Preprocessing time : 0.003 s
% 6.22/1.83 % Presaturation interreduction done
% 6.22/1.83
% 6.22/1.83 % Proof found!
% 6.22/1.83 % SZS status Theorem
% 6.22/1.83 % SZS output start CNFRefutation
% See solution above
% 6.22/1.83 % Parsed axioms : 34
% 6.22/1.83 % Removed by relevancy pruning/SinE : 0
% 6.22/1.83 % Initial clauses : 69
% 6.22/1.83 % Removed in clause preprocessing : 2
% 6.22/1.83 % Initial clauses in saturation : 67
% 6.22/1.83 % Processed clauses : 6629
% 6.22/1.83 % ...of these trivial : 5
% 6.22/1.83 % ...subsumed : 5653
% 6.22/1.83 % ...remaining for further processing : 971
% 6.22/1.83 % Other redundant clauses eliminated : 7
% 6.22/1.83 % Clauses deleted for lack of memory : 0
% 6.22/1.83 % Backward-subsumed : 207
% 6.22/1.83 % Backward-rewritten : 71
% 6.22/1.83 % Generated clauses : 29448
% 6.22/1.83 % ...of the previous two non-redundant : 27433
% 6.22/1.83 % ...aggressively subsumed : 0
% 6.22/1.83 % Contextual simplify-reflections : 31
% 6.22/1.83 % Paramodulations : 29441
% 6.22/1.83 % Factorizations : 0
% 6.22/1.83 % NegExts : 0
% 6.22/1.83 % Equation resolutions : 8
% 6.22/1.83 % Disequality decompositions : 0
% 6.22/1.83 % Total rewrite steps : 12316
% 6.22/1.83 % ...of those cached : 12226
% 6.22/1.83 % Propositional unsat checks : 0
% 6.22/1.83 % Propositional check models : 0
% 6.22/1.83 % Propositional check unsatisfiable : 0
% 6.22/1.83 % Propositional clauses : 0
% 6.22/1.83 % Propositional clauses after purity: 0
% 6.22/1.83 % Propositional unsat core size : 0
% 6.22/1.83 % Propositional preprocessing time : 0.000
% 6.22/1.83 % Propositional encoding time : 0.000
% 6.22/1.83 % Propositional solver time : 0.000
% 6.22/1.83 % Success case prop preproc time : 0.000
% 6.22/1.83 % Success case prop encoding time : 0.000
% 6.22/1.83 % Success case prop solver time : 0.000
% 6.22/1.83 % Current number of processed clauses : 625
% 6.22/1.83 % Positive orientable unit clauses : 40
% 6.22/1.83 % Positive unorientable unit clauses: 0
% 6.22/1.83 % Negative unit clauses : 15
% 6.22/1.83 % Non-unit-clauses : 570
% 6.22/1.83 % Current number of unprocessed clauses: 19689
% 6.22/1.83 % ...number of literals in the above : 92792
% 6.22/1.83 % Current number of archived formulas : 0
% 6.22/1.83 % Current number of archived clauses : 342
% 6.22/1.83 % Clause-clause subsumption calls (NU) : 149413
% 6.22/1.83 % Rec. Clause-clause subsumption calls : 70811
% 6.22/1.83 % Non-unit clause-clause subsumptions : 3723
% 6.22/1.83 % Unit Clause-clause subsumption calls : 2487
% 6.22/1.83 % Rewrite failures with RHS unbound : 0
% 6.22/1.83 % BW rewrite match attempts : 27
% 6.22/1.83 % BW rewrite match successes : 20
% 6.22/1.83 % Condensation attempts : 0
% 6.22/1.83 % Condensation successes : 0
% 6.22/1.83 % Termbank termtop insertions : 477237
% 6.22/1.83 % Search garbage collected termcells : 821
% 6.22/1.83
% 6.22/1.83 % -------------------------------------------------
% 6.22/1.83 % User time : 1.059 s
% 6.22/1.83 % System time : 0.036 s
% 6.22/1.83 % Total time : 1.095 s
% 6.22/1.83 % Maximum resident set size: 3660 pages
% 6.22/1.83
% 6.22/1.83 % -------------------------------------------------
% 6.22/1.83 % User time : 4.828 s
% 6.22/1.83 % System time : 0.197 s
% 6.22/1.83 % Total time : 5.025 s
% 6.22/1.83 % Maximum resident set size: 4608 pages
% 6.22/1.83 % E exiting
%------------------------------------------------------------------------------