%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SEU187+1 : TPTP v9.3.1. Released v3.3.0.
% 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 02:28:26 PM UTC 2026
% Result : Theorem 0.12s 0.44s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 8
% Syntax : Number of formulae : 37 ( 7 unt; 0 def)
% Number of atoms : 113 ( 32 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 131 ( 55 ~; 56 |; 11 &)
% ( 5 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 1 con; 0-3 aty)
% Number of variables : 61 ( 8 sgn 31 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(d4_relat_1,axiom,
! [X1] :
( relation(X1)
=> ! [X2] :
( X2 = relation_dom(X1)
<=> ! [X3] :
( in(X3,X2)
<=> ? [X4] : in(ordered_pair(X3,X4),X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_relat_1) ).
fof(t7_boole,axiom,
! [X1,X2] :
~ ( empty(X2)
& in(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_boole) ).
fof(cc1_relat_1,axiom,
! [X1] :
( empty(X1)
=> relation(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_relat_1) ).
fof(t2_tarski,axiom,
! [X1,X2] :
( ! [X3] :
( in(X3,X1)
<=> in(X3,X2) )
=> X1 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_tarski) ).
fof(fc1_xboole_0,axiom,
empty(empty_set),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_xboole_0) ).
fof(fc4_relat_1,axiom,
( relation(empty_set)
& empty(empty_set) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc4_relat_1) ).
fof(t60_relat_1,conjecture,
( relation_rng(empty_set) = empty_set
& relation_dom(empty_set) = empty_set ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t60_relat_1) ).
fof(d5_relat_1,axiom,
! [X1] :
( relation(X1)
=> ! [X2] :
( X2 = relation_rng(X1)
<=> ! [X3] :
( in(X3,X2)
<=> ? [X4] : in(ordered_pair(X4,X3),X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_relat_1) ).
fof(c_0_8,plain,
! [X17,X18,X19,X21,X22,X23,X25] :
( ( ~ relation(X17)
| X23 = relation_dom(X17)
| in(ordered_pair(esk5_2(X17,X23),esk6_2(X17,X23)),X17)
| in(esk5_2(X17,X23),X23) )
& ( ~ relation(X17)
| X23 = relation_dom(X17)
| ~ in(ordered_pair(esk5_2(X17,X23),X25),X17)
| ~ in(esk5_2(X17,X23),X23) )
& ( ~ relation(X17)
| X18 != relation_dom(X17)
| in(X21,X18)
| ~ in(ordered_pair(X21,X22),X17) )
& ( ~ relation(X17)
| X18 != relation_dom(X17)
| in(ordered_pair(X19,esk4_3(X17,X18,X19)),X17)
| ~ in(X19,X18) ) ),
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)],[d4_relat_1])])])])])])]) ).
fof(c_0_9,plain,
! [X40,X41] :
( ~ empty(X41)
| ~ in(X40,X41) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t7_boole])])]) ).
cnf(c_0_10,plain,
( ~ relation(X3)
| X2 != relation_dom(X3)
| ~ in(X1,X2)
| in(ordered_pair(X1,esk4_3(X3,X2,X1)),X3) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
fof(c_0_11,plain,
! [X32] :
( relation(X32)
| ~ empty(X32) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_relat_1])])]) ).
fof(c_0_12,plain,
! [X37,X38] :
( ( X37 = X38
| in(esk11_2(X37,X38),X38)
| in(esk11_2(X37,X38),X37) )
& ( X37 = X38
| ~ in(esk11_2(X37,X38),X38)
| ~ in(esk11_2(X37,X38),X37) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_tarski])])])])]) ).
cnf(c_0_13,plain,
( ~ empty(X2)
| ~ in(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_14,plain,
( ~ in(X1,relation_dom(X2))
| ~ relation(X2)
| in(ordered_pair(X1,esk4_3(X2,relation_dom(X2),X1)),X2) ),
inference(er,[status(thm)],[c_0_10]) ).
cnf(c_0_15,plain,
( ~ empty(X1)
| relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_16,plain,
( X1 = X2
| in(esk11_2(X1,X2),X2)
| in(esk11_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_17,plain,
( ~ in(X2,relation_dom(X1))
| ~ empty(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15]) ).
cnf(c_0_18,plain,
( ~ empty(X2)
| in(esk11_2(X1,X2),X1)
| X1 = X2 ),
inference(spm,[status(thm)],[c_0_13,c_0_16]) ).
cnf(c_0_19,plain,
( ~ empty(X2)
| ~ empty(X1)
| relation_dom(X1) = X2 ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_20,plain,
empty(empty_set),
inference(split_conjunct,[status(thm)],[fc1_xboole_0]) ).
cnf(c_0_21,plain,
( ~ empty(X1)
| relation_dom(X1) = empty_set ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_22,plain,
( ~ in(X2,empty_set)
| ~ empty(X1) ),
inference(spm,[status(thm)],[c_0_17,c_0_21]) ).
cnf(c_0_23,plain,
relation(empty_set),
inference(split_conjunct,[status(thm)],[fc4_relat_1]) ).
cnf(c_0_24,plain,
( ~ in(X2,relation_dom(empty_set))
| ~ empty(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_14]),c_0_23])]) ).
cnf(c_0_25,plain,
( ~ empty(X1)
| ~ empty(X2)
| relation_dom(empty_set) = X1 ),
inference(spm,[status(thm)],[c_0_24,c_0_18]) ).
cnf(c_0_26,plain,
( ~ empty(X1)
| relation_dom(empty_set) = X1 ),
inference(spm,[status(thm)],[c_0_25,c_0_20]) ).
fof(c_0_27,negated_conjecture,
~ ( relation_rng(empty_set) = empty_set
& relation_dom(empty_set) = empty_set ),
inference(assume_negation,[status(cth)],[t60_relat_1]) ).
cnf(c_0_28,plain,
relation_dom(empty_set) = empty_set,
inference(spm,[status(thm)],[c_0_26,c_0_20]) ).
fof(c_0_29,plain,
! [X6,X7,X8,X10,X11,X12,X14] :
( ( ~ relation(X6)
| X12 = relation_rng(X6)
| in(ordered_pair(esk3_2(X6,X12),esk2_2(X6,X12)),X6)
| in(esk2_2(X6,X12),X12) )
& ( ~ relation(X6)
| X12 = relation_rng(X6)
| ~ in(ordered_pair(X14,esk2_2(X6,X12)),X6)
| ~ in(esk2_2(X6,X12),X12) )
& ( ~ relation(X6)
| X7 != relation_rng(X6)
| in(X10,X7)
| ~ in(ordered_pair(X11,X10),X6) )
& ( ~ relation(X6)
| X7 != relation_rng(X6)
| in(ordered_pair(esk1_3(X6,X7,X8),X8),X6)
| ~ in(X8,X7) ) ),
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_relat_1])])])])])])]) ).
fof(c_0_30,negated_conjecture,
( relation_rng(empty_set) != empty_set
| relation_dom(empty_set) != empty_set ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_27])]) ).
cnf(c_0_31,plain,
~ in(X1,empty_set),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_28]),c_0_20])]) ).
cnf(c_0_32,plain,
( ~ relation(X1)
| X2 = relation_rng(X1)
| in(ordered_pair(esk3_2(X1,X2),esk2_2(X1,X2)),X1)
| in(esk2_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_33,negated_conjecture,
( relation_rng(empty_set) != empty_set
| relation_dom(empty_set) != empty_set ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_34,plain,
( in(esk2_2(empty_set,X1),X1)
| X1 = relation_rng(empty_set) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_23])]) ).
cnf(c_0_35,negated_conjecture,
relation_rng(empty_set) != empty_set,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_33,c_0_28])]) ).
cnf(c_0_36,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_34]),c_0_35]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU187+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n005.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Mon Sep 21 05:56:03 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 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
% 0.12/0.44 % Version: 3.5.1
% 0.12/0.44 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.12/0.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/0.44 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.12/0.44 % Starting new_bool_3 with 300s (1) cores
% 0.12/0.44 % Starting new_bool_1 with 300s (1) cores
% 0.12/0.44 % Starting sh5l with 300s (1) cores
% 0.12/0.44 % new_bool_3 with pid 2701512 completed with status 0
% 0.12/0.44 % Result found by new_bool_3
% 0.12/0.44 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.12/0.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/0.44 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.12/0.44 % Starting new_bool_3 with 300s (1) cores
% 0.12/0.44 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.12/0.44 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.12/0.44 % Search class: FGHSF-FFMM32-SFFFFFNN
% 0.12/0.44 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.12/0.44 % Starting SubtermCWHack with 28s (1) cores
% 0.12/0.44 % SubtermCWHack with pid 2701516 completed with status 0
% 0.12/0.44 % Result found by SubtermCWHack
% 0.12/0.44 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.12/0.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/0.44 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.12/0.44 % Starting new_bool_3 with 300s (1) cores
% 0.12/0.44 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.12/0.44 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.12/0.44 % Search class: FGHSF-FFMM32-SFFFFFNN
% 0.12/0.44 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.12/0.44 % Starting SubtermCWHack with 28s (1) cores
% 0.12/0.44 % Preprocessing time : 0.001 s
% 0.12/0.44
% 0.12/0.44 % Proof found!
% 0.12/0.44 % SZS status Theorem
% 0.12/0.44 % SZS output start CNFRefutation
% See solution above
% 0.12/0.44 % Parsed axioms : 32
% 0.12/0.44 % Removed by relevancy pruning/SinE : 14
% 0.12/0.44 % Initial clauses : 28
% 0.12/0.44 % Removed in clause preprocessing : 0
% 0.12/0.44 % Initial clauses in saturation : 28
% 0.12/0.44 % Processed clauses : 74
% 0.12/0.44 % ...of these trivial : 1
% 0.12/0.44 % ...subsumed : 20
% 0.12/0.44 % ...remaining for further processing : 53
% 0.12/0.44 % Other redundant clauses eliminated : 3
% 0.12/0.44 % Clauses deleted for lack of memory : 0
% 0.12/0.44 % Backward-subsumed : 2
% 0.12/0.44 % Backward-rewritten : 6
% 0.12/0.44 % Generated clauses : 81
% 0.12/0.44 % ...of the previous two non-redundant : 73
% 0.12/0.44 % ...aggressively subsumed : 0
% 0.12/0.44 % Contextual simplify-reflections : 1
% 0.12/0.44 % Paramodulations : 76
% 0.12/0.44 % Factorizations : 2
% 0.12/0.44 % NegExts : 0
% 0.12/0.44 % Equation resolutions : 3
% 0.12/0.44 % Disequality decompositions : 0
% 0.12/0.44 % Total rewrite steps : 24
% 0.12/0.44 % ...of those cached : 19
% 0.12/0.44 % Propositional unsat checks : 0
% 0.12/0.44 % Propositional check models : 0
% 0.12/0.44 % Propositional check unsatisfiable : 0
% 0.12/0.44 % Propositional clauses : 0
% 0.12/0.44 % Propositional clauses after purity: 0
% 0.12/0.44 % Propositional unsat core size : 0
% 0.12/0.44 % Propositional preprocessing time : 0.000
% 0.12/0.44 % Propositional encoding time : 0.000
% 0.12/0.44 % Propositional solver time : 0.000
% 0.12/0.44 % Success case prop preproc time : 0.000
% 0.12/0.44 % Success case prop encoding time : 0.000
% 0.12/0.44 % Success case prop solver time : 0.000
% 0.12/0.44 % Current number of processed clauses : 42
% 0.12/0.44 % Positive orientable unit clauses : 6
% 0.12/0.44 % Positive unorientable unit clauses: 0
% 0.12/0.44 % Negative unit clauses : 5
% 0.12/0.44 % Non-unit-clauses : 31
% 0.12/0.44 % Current number of unprocessed clauses: 26
% 0.12/0.44 % ...number of literals in the above : 91
% 0.12/0.44 % Current number of archived formulas : 0
% 0.12/0.44 % Current number of archived clauses : 8
% 0.12/0.44 % Clause-clause subsumption calls (NU) : 198
% 0.12/0.44 % Rec. Clause-clause subsumption calls : 171
% 0.12/0.44 % Non-unit clause-clause subsumptions : 19
% 0.12/0.44 % Unit Clause-clause subsumption calls : 26
% 0.12/0.44 % Rewrite failures with RHS unbound : 0
% 0.12/0.44 % BW rewrite match attempts : 3
% 0.12/0.44 % BW rewrite match successes : 3
% 0.12/0.44 % Condensation attempts : 0
% 0.12/0.44 % Condensation successes : 0
% 0.12/0.44 % Termbank termtop insertions : 2696
% 0.12/0.44 % Search garbage collected termcells : 523
% 0.12/0.44
% 0.12/0.44 % -------------------------------------------------
% 0.12/0.44 % User time : 0.005 s
% 0.12/0.44 % System time : 0.004 s
% 0.12/0.44 % Total time : 0.009 s
% 0.12/0.44 % Maximum resident set size: 3648 pages
% 0.12/0.44
% 0.12/0.44 % -------------------------------------------------
% 0.12/0.44 % User time : 0.008 s
% 0.12/0.44 % System time : 0.008 s
% 0.12/0.44 % Total time : 0.015 s
% 0.12/0.44 % Maximum resident set size: 4864 pages
% 0.12/0.44 % E exiting
%------------------------------------------------------------------------------