%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SEU077+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 : n005.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 02:28:03 PM UTC 2026
% Result : Theorem 1.20s 0.64s
% Output : CNFRefutation 1.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 32 ( 6 unt; 0 def)
% Number of atoms : 174 ( 30 equ)
% Maximal formula atoms : 32 ( 5 avg)
% Number of connectives : 241 ( 99 ~; 106 |; 24 &)
% ( 5 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 6 avg)
% Maximal term depth : 3 ( 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 : 81 ( 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/sandbox/benchmark/theBenchmark.p',d13_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/sandbox/benchmark/theBenchmark.p',t158_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/sandbox/benchmark/theBenchmark.p',d5_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,
! [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,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_6,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]) ).
fof(c_0_7,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_8,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_9,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_5])])])]) ).
cnf(c_0_10,plain,
( ~ in(X2,relation_inverse_image(X1,X3))
| ~ function(X1)
| ~ relation(X1)
| in(apply(X1,X2),X3) ),
inference(er,[status(thm)],[c_0_6]) ).
cnf(c_0_11,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_7]) ).
cnf(c_0_12,plain,
( ~ in(X3,X1)
| ~ subset(X1,X2)
| in(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,negated_conjecture,
subset(relation_inverse_image(esk19_0,esk17_0),relation_inverse_image(esk19_0,esk18_0)),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_14,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_15,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_7]) ).
cnf(c_0_16,plain,
( ~ in(X1,X3)
| ~ in(esk3_3(X4,X3,X1),relation_inverse_image(X4,X2))
| ~ function(X4)
| ~ relation(X4)
| X3 != relation_rng(X4)
| in(X1,X2) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_17,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_12,c_0_13]) ).
cnf(c_0_18,negated_conjecture,
relation(esk19_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_19,negated_conjecture,
function(esk19_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_20,plain,
( ~ in(X3,X2)
| ~ in(X3,X5)
| ~ function(X1)
| ~ relation(X1)
| X2 != relation_rng(X1)
| X4 != relation_inverse_image(X1,X5)
| in(esk3_3(X1,X2,X3),X4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_11]),c_0_15]) ).
cnf(c_0_21,negated_conjecture,
( ~ in(X1,X2)
| ~ in(esk3_3(esk19_0,X2,X1),relation_inverse_image(esk19_0,esk17_0))
| X2 != relation_rng(esk19_0)
| in(X1,esk18_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18]),c_0_19])]) ).
cnf(c_0_22,plain,
( ~ in(X3,X2)
| ~ in(X3,X4)
| ~ function(X1)
| ~ relation(X1)
| X2 != relation_rng(X1)
| in(esk3_3(X1,X2,X3),relation_inverse_image(X1,X4)) ),
inference(er,[status(thm)],[c_0_20]) ).
cnf(c_0_23,negated_conjecture,
subset(esk17_0,relation_rng(esk19_0)),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_24,negated_conjecture,
( ~ in(X1,X2)
| ~ in(X1,esk17_0)
| X2 != relation_rng(esk19_0)
| in(X1,esk18_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_18]),c_0_19])]) ).
cnf(c_0_25,negated_conjecture,
( ~ in(X1,esk17_0)
| in(X1,relation_rng(esk19_0)) ),
inference(spm,[status(thm)],[c_0_12,c_0_23]) ).
cnf(c_0_26,plain,
( ~ in(esk2_2(X1,X2),X2)
| subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_27,negated_conjecture,
( ~ in(X1,esk17_0)
| in(X1,esk18_0) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_24]),c_0_25]) ).
cnf(c_0_28,negated_conjecture,
( ~ in(esk2_2(X1,esk18_0),esk17_0)
| subset(X1,esk18_0) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_29,plain,
( subset(X1,X2)
| in(esk2_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_30,negated_conjecture,
~ subset(esk17_0,esk18_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_31,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU077+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.35 % Computer : n005.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 05:49:17 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.39 Running first-order theorem proving
% 0.13/0.39 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
% 1.20/0.64 % Version: 3.5.1
% 1.20/0.64 % Preprocessing class: FSMSSMSSSSSNFFN.
% 1.20/0.64 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.20/0.64 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 1.20/0.64 % Starting new_bool_3 with 300s (1) cores
% 1.20/0.64 % Starting new_bool_1 with 300s (1) cores
% 1.20/0.64 % Starting sh5l with 300s (1) cores
% 1.20/0.64 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 2687852 completed with status 0
% 1.20/0.64 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 1.20/0.64 % Preprocessing class: FSMSSMSSSSSNFFN.
% 1.20/0.64 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.20/0.64 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 1.20/0.64 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 1.20/0.64 % No SInE strategy applied
% 1.20/0.64 % Search class: FGHSM-FFMM31-SFFFFFNN
% 1.20/0.64 % Scheduled 11 strats onto 5 cores with 1500 seconds (1500 total)
% 1.20/0.64 % Starting SubtermCWHack with 136s (1) cores
% 1.20/0.64 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 1.20/0.64 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S4b with 136s (1) cores
% 1.20/0.64 % Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S0Y with 136s (1) cores
% 1.20/0.64 % Starting G-E--_208_B07----D_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 1.20/0.64 % G-E--_302_C18_F1_URBAN_S5PRR_RG_S0Y with pid 2687862 completed with status 0
% 1.20/0.64 % Result found by G-E--_302_C18_F1_URBAN_S5PRR_RG_S0Y
% 1.20/0.64 % Preprocessing class: FSMSSMSSSSSNFFN.
% 1.20/0.64 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.20/0.64 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 1.20/0.64 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 1.20/0.64 % No SInE strategy applied
% 1.20/0.64 % Search class: FGHSM-FFMM31-SFFFFFNN
% 1.20/0.64 % Scheduled 11 strats onto 5 cores with 1500 seconds (1500 total)
% 1.20/0.64 % Starting SubtermCWHack with 136s (1) cores
% 1.20/0.64 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 1.20/0.64 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S4b with 136s (1) cores
% 1.20/0.64 % Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S0Y with 136s (1) cores
% 1.20/0.64 % Preprocessing time : 0.002 s
% 1.20/0.64
% 1.20/0.64 % Proof found!
% 1.20/0.64 % SZS status Theorem
% 1.20/0.64 % SZS output start CNFRefutation
% See solution above
% 1.20/0.64 % Parsed axioms : 36
% 1.20/0.64 % Removed by relevancy pruning/SinE : 0
% 1.20/0.64 % Initial clauses : 70
% 1.20/0.64 % Removed in clause preprocessing : 2
% 1.20/0.64 % Initial clauses in saturation : 68
% 1.20/0.64 % Processed clauses : 1358
% 1.20/0.64 % ...of these trivial : 7
% 1.20/0.64 % ...subsumed : 719
% 1.20/0.64 % ...remaining for further processing : 632
% 1.20/0.64 % Other redundant clauses eliminated : 1
% 1.20/0.64 % Clauses deleted for lack of memory : 0
% 1.20/0.64 % Backward-subsumed : 140
% 1.20/0.64 % Backward-rewritten : 34
% 1.20/0.64 % Generated clauses : 8160
% 1.20/0.64 % ...of the previous two non-redundant : 7996
% 1.20/0.64 % ...aggressively subsumed : 0
% 1.20/0.64 % Contextual simplify-reflections : 45
% 1.20/0.64 % Paramodulations : 8107
% 1.20/0.64 % Factorizations : 18
% 1.20/0.64 % NegExts : 0
% 1.20/0.64 % Equation resolutions : 35
% 1.20/0.64 % Disequality decompositions : 0
% 1.20/0.64 % Total rewrite steps : 2759
% 1.20/0.64 % ...of those cached : 2726
% 1.20/0.64 % Propositional unsat checks : 0
% 1.20/0.64 % Propositional check models : 0
% 1.20/0.64 % Propositional check unsatisfiable : 0
% 1.20/0.64 % Propositional clauses : 0
% 1.20/0.64 % Propositional clauses after purity: 0
% 1.20/0.64 % Propositional unsat core size : 0
% 1.20/0.64 % Propositional preprocessing time : 0.000
% 1.20/0.64 % Propositional encoding time : 0.000
% 1.20/0.64 % Propositional solver time : 0.000
% 1.20/0.64 % Success case prop preproc time : 0.000
% 1.20/0.64 % Success case prop encoding time : 0.000
% 1.20/0.64 % Success case prop solver time : 0.000
% 1.20/0.64 % Current number of processed clauses : 458
% 1.20/0.64 % Positive orientable unit clauses : 28
% 1.20/0.64 % Positive unorientable unit clauses: 0
% 1.20/0.64 % Negative unit clauses : 23
% 1.20/0.64 % Non-unit-clauses : 407
% 1.20/0.64 % Current number of unprocessed clauses: 6471
% 1.20/0.64 % ...number of literals in the above : 33460
% 1.20/0.64 % Current number of archived formulas : 0
% 1.20/0.64 % Current number of archived clauses : 174
% 1.20/0.64 % Clause-clause subsumption calls (NU) : 54076
% 1.20/0.64 % Rec. Clause-clause subsumption calls : 20645
% 1.20/0.64 % Non-unit clause-clause subsumptions : 605
% 1.20/0.64 % Unit Clause-clause subsumption calls : 1755
% 1.20/0.64 % Rewrite failures with RHS unbound : 0
% 1.20/0.64 % BW rewrite match attempts : 8
% 1.20/0.64 % BW rewrite match successes : 5
% 1.20/0.64 % Condensation attempts : 0
% 1.20/0.64 % Condensation successes : 0
% 1.20/0.64 % Termbank termtop insertions : 132650
% 1.20/0.64 % Search garbage collected termcells : 833
% 1.20/0.64
% 1.20/0.64 % -------------------------------------------------
% 1.20/0.64 % User time : 0.202 s
% 1.20/0.64 % System time : 0.014 s
% 1.20/0.64 % Total time : 0.216 s
% 1.20/0.64 % Maximum resident set size: 3404 pages
% 1.20/0.64
% 1.20/0.64 % -------------------------------------------------
% 1.20/0.64 % User time : 1.017 s
% 1.20/0.64 % System time : 0.056 s
% 1.20/0.64 % Total time : 1.073 s
% 1.20/0.64 % Maximum resident set size: 4608 pages
% 1.20/0.64 % E exiting
%------------------------------------------------------------------------------