%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : CSR087+4 : TPTP v9.3.1. Bugfixed v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n001.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 12:16:42 PM UTC 2026
% Result : Theorem 32.38s 5.85s
% Output : CNFRefutation 32.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 5
% Syntax : Number of formulae : 34 ( 8 unt; 0 def)
% Number of atoms : 148 ( 31 equ)
% Maximal formula atoms : 45 ( 4 avg)
% Number of connectives : 181 ( 67 ~; 70 |; 34 &)
% ( 3 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 7 con; 0-3 aty)
% Number of variables : 76 ( 21 sgn 31 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(prove_from_SUMO,conjecture,
~ ? [X591] :
( X591 != s__Nucleus14_1
& s__component(X591,s__Atom14_1)
& s__instance(X591,s__AtomicNucleus) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_from_SUMO) ).
fof(kb_SUMO_3496,axiom,
! [X171,X172,X173] :
( X172 = s__UnionFn(X173,X171)
<=> ! [X174,X175,X176] :
( ( s__instance(X171,s__SetOrClass)
& s__instance(X172,s__SetOrClass)
& s__instance(X173,s__SetOrClass) )
=> ( ( s__instance(X176,X172)
& s__instance(X175,X171)
& s__instance(X174,X173) )
=> ( ( s__instance(X176,X171)
| s__instance(X176,X173) )
& s__instance(X175,X172)
& s__instance(X174,X172) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR003+0.ax',kb_SUMO_3496) ).
fof(kb_SUMO_3533,axiom,
! [X168] :
( s__instance(X168,s__SetOrClass)
=> ( s__instance(X168,s__NullSet)
=> ~ ? [X48] : s__instance(X48,X168) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR003+0.ax',kb_SUMO_3533) ).
fof(kb_SUMO_276,axiom,
! [X9,X10] :
( s__disjoint(X9,X10)
<=> ! [X48] :
( ( s__instance(X9,s__SetOrClass)
& s__instance(X10,s__SetOrClass) )
=> ~ ( s__instance(X48,X10)
& s__instance(X48,X9) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR003+0.ax',kb_SUMO_276) ).
fof(kb_SUMO_3489,axiom,
! [X169,X170] :
( ! [X49] :
( ( s__instance(X169,s__Set)
& s__instance(X170,s__Set) )
=> ( s__element(X49,X170)
<=> s__element(X49,X169) ) )
=> X170 = X169 ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR003+0.ax',kb_SUMO_3489) ).
fof(c_0_5,negated_conjecture,
~ ~ ? [X591] :
( X591 != s__Nucleus14_1
& s__component(X591,s__Atom14_1)
& s__instance(X591,s__AtomicNucleus) ),
inference(assume_negation,[status(cth)],[prove_from_SUMO]) ).
fof(c_0_6,negated_conjecture,
~ ~ ? [X591] :
( X591 != s__Nucleus14_1
& s__component(X591,s__Atom14_1)
& s__instance(X591,s__AtomicNucleus) ),
inference(fof_simplification,[status(thm)],[c_0_5]) ).
fof(c_0_7,negated_conjecture,
( esk505_0 != s__Nucleus14_1
& s__component(esk505_0,s__Atom14_1)
& s__instance(esk505_0,s__AtomicNucleus) ),
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,
! [X6423,X6424,X6425,X6426,X6427,X6428,X6429,X6430,X6431] :
( ( X6430 = s__UnionFn(X6431,X6429)
| ~ s__instance(esk159_3(X6429,X6430,X6431),X6430)
| ~ s__instance(esk158_3(X6429,X6430,X6431),X6430)
| ~ s__instance(esk160_3(X6429,X6430,X6431),X6429) )
& ( X6430 = s__UnionFn(X6431,X6429)
| ~ s__instance(esk159_3(X6429,X6430,X6431),X6430)
| ~ s__instance(esk158_3(X6429,X6430,X6431),X6430)
| ~ s__instance(esk160_3(X6429,X6430,X6431),X6431) )
& ( X6430 = s__UnionFn(X6431,X6429)
| s__instance(esk160_3(X6429,X6430,X6431),X6430) )
& ( X6430 = s__UnionFn(X6431,X6429)
| s__instance(esk159_3(X6429,X6430,X6431),X6429) )
& ( X6430 = s__UnionFn(X6431,X6429)
| s__instance(esk158_3(X6429,X6430,X6431),X6431) )
& ( X6430 = s__UnionFn(X6431,X6429)
| s__instance(X6429,s__SetOrClass) )
& ( X6430 = s__UnionFn(X6431,X6429)
| s__instance(X6430,s__SetOrClass) )
& ( X6430 = s__UnionFn(X6431,X6429)
| s__instance(X6431,s__SetOrClass) )
& ( X6424 != s__UnionFn(X6425,X6423)
| ~ s__instance(X6423,s__SetOrClass)
| ~ s__instance(X6424,s__SetOrClass)
| ~ s__instance(X6425,s__SetOrClass)
| ~ s__instance(X6428,X6424)
| ~ s__instance(X6427,X6423)
| ~ s__instance(X6426,X6425)
| s__instance(X6428,X6423)
| s__instance(X6428,X6425) )
& ( X6424 != s__UnionFn(X6425,X6423)
| ~ s__instance(X6423,s__SetOrClass)
| ~ s__instance(X6424,s__SetOrClass)
| ~ s__instance(X6425,s__SetOrClass)
| ~ s__instance(X6428,X6424)
| ~ s__instance(X6427,X6423)
| ~ s__instance(X6426,X6425)
| s__instance(X6427,X6424) )
& ( X6424 != s__UnionFn(X6425,X6423)
| ~ s__instance(X6423,s__SetOrClass)
| ~ s__instance(X6424,s__SetOrClass)
| ~ s__instance(X6425,s__SetOrClass)
| ~ s__instance(X6428,X6424)
| ~ s__instance(X6427,X6423)
| ~ s__instance(X6426,X6425)
| s__instance(X6426,X6424) ) ),
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)],[kb_SUMO_3496])])])])])])]) ).
fof(c_0_9,plain,
! [X6435,X6436] :
( ~ s__instance(X6436,X6435)
| ~ s__instance(X6435,s__NullSet)
| ~ s__instance(X6435,s__SetOrClass) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[kb_SUMO_3533])])])]) ).
cnf(c_0_10,negated_conjecture,
esk505_0 != s__Nucleus14_1,
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,plain,
( X2 = s__UnionFn(X3,X1)
| s__instance(X1,s__SetOrClass) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_12,plain,
( ~ s__instance(X2,X1)
| ~ s__instance(X1,s__NullSet)
| ~ s__instance(X1,s__SetOrClass) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_13,negated_conjecture,
s__instance(X1,s__SetOrClass),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_11]) ).
fof(c_0_14,plain,
! [X1513,X1514,X1515,X1516,X1517] :
( ( s__disjoint(X1516,X1517)
| s__instance(esk1_2(X1516,X1517),X1517) )
& ( s__disjoint(X1516,X1517)
| s__instance(esk1_2(X1516,X1517),X1516) )
& ( s__disjoint(X1516,X1517)
| s__instance(X1516,s__SetOrClass) )
& ( s__disjoint(X1516,X1517)
| s__instance(X1517,s__SetOrClass) )
& ( ~ s__instance(X1515,X1514)
| ~ s__instance(X1515,X1513)
| ~ s__instance(X1513,s__SetOrClass)
| ~ s__instance(X1514,s__SetOrClass)
| ~ s__disjoint(X1513,X1514) ) ),
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)],[kb_SUMO_276])])])])])])]) ).
cnf(c_0_15,plain,
( ~ s__instance(X2,X1)
| ~ s__instance(X1,s__NullSet) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_13])]) ).
cnf(c_0_16,plain,
( s__disjoint(X1,X2)
| s__instance(esk1_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_17,plain,
( ~ s__instance(X2,esk1_2(s__NullSet,X1))
| s__disjoint(s__NullSet,X1) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_18,plain,
( X2 = s__UnionFn(X3,X1)
| s__instance(esk158_3(X1,X2,X3),X3) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_19,plain,
( s__disjoint(s__NullSet,X2)
| X1 = s__UnionFn(esk1_2(s__NullSet,X2),X3) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
fof(c_0_20,plain,
! [X6420,X6421] :
( ( X6421 = X6420
| s__element(esk157_2(X6420,X6421),X6420)
| s__element(esk157_2(X6420,X6421),X6421) )
& ( X6421 = X6420
| ~ s__element(esk157_2(X6420,X6421),X6420)
| ~ s__element(esk157_2(X6420,X6421),X6421) )
& ( X6421 = X6420
| s__instance(X6420,s__Set) )
& ( X6421 = X6420
| s__instance(X6421,s__Set) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[kb_SUMO_3489])])])])])]) ).
cnf(c_0_21,plain,
( ~ s__instance(X3,X2)
| ~ s__instance(X3,X1)
| ~ s__instance(X1,s__SetOrClass)
| ~ s__instance(X2,s__SetOrClass)
| ~ s__disjoint(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_22,plain,
( s__disjoint(s__NullSet,X3)
| X1 = X2 ),
inference(spm,[status(thm)],[c_0_19,c_0_19]) ).
cnf(c_0_23,plain,
( X2 = X1
| s__instance(X1,s__Set) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_24,plain,
( ~ s__instance(X3,X1)
| ~ s__instance(X3,X2)
| ~ s__disjoint(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_21,c_0_13]),c_0_13])]) ).
cnf(c_0_25,negated_conjecture,
s__disjoint(s__NullSet,X1),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_22]),c_0_22]) ).
cnf(c_0_26,negated_conjecture,
( X1 != s__Nucleus14_1
| s__instance(esk505_0,s__Set) ),
inference(spm,[status(thm)],[c_0_10,c_0_23]) ).
cnf(c_0_27,negated_conjecture,
( ~ s__instance(X1,X2)
| ~ s__instance(X1,s__NullSet) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_28,negated_conjecture,
s__instance(esk505_0,s__Set),
inference(er,[status(thm)],[c_0_26]) ).
cnf(c_0_29,negated_conjecture,
( ~ s__instance(esk158_3(X2,X1,s__NullSet),X3)
| X1 = s__UnionFn(s__NullSet,X2) ),
inference(spm,[status(thm)],[c_0_27,c_0_18]) ).
cnf(c_0_30,negated_conjecture,
s__instance(X1,s__Set),
inference(spm,[status(thm)],[c_0_28,c_0_23]) ).
cnf(c_0_31,negated_conjecture,
X1 = s__UnionFn(s__NullSet,X2),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_32,negated_conjecture,
X1 = X2,
inference(spm,[status(thm)],[c_0_31,c_0_31]) ).
cnf(c_0_33,negated_conjecture,
$false,
inference(sr,[status(thm)],[c_0_10,c_0_32]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR087+4 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n001.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 14:58:32 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.41 Running first-order theorem proving
% 0.14/0.41 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
% 32.38/5.85 % Version: 3.5.1
% 32.38/5.85 % Preprocessing class: FMLLSMSLSSSNFFN.
% 32.38/5.85 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 32.38/5.85 % Starting G-E--_208_B07_F1_AE_CS_SP_PS_S0Y with 1500s (5) cores
% 32.38/5.85 % Starting new_bool_3 with 300s (1) cores
% 32.38/5.85 % Starting new_bool_1 with 300s (1) cores
% 32.38/5.85 % Starting sh5l with 300s (1) cores
% 32.38/5.85 % G-E--_208_B07_F1_AE_CS_SP_PS_S0Y with pid 3402405 completed with status 0
% 32.38/5.85 % Result found by G-E--_208_B07_F1_AE_CS_SP_PS_S0Y
% 32.38/5.85 % Preprocessing class: FMLLSMSLSSSNFFN.
% 32.38/5.85 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 32.38/5.85 % Starting G-E--_208_B07_F1_AE_CS_SP_PS_S0Y with 1500s (5) cores
% 32.38/5.85 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 32.38/5.85 % No SInE strategy applied
% 32.38/5.85 % Search class: FGHSM-SMLM31-MFFFFFNN
% 32.38/5.85 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 32.38/5.85 % Starting SubtermCWHack with 136s (1) cores
% 32.38/5.85 % Starting G-E--_208_B07_F1_AE_CS_SP_PS_S0Y with 151s (1) cores
% 32.38/5.85 % Starting G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y with 136s (1) cores
% 32.38/5.85 % Starting new_bool_3 with 136s (1) cores
% 32.38/5.85 % Starting new_bool_1 with 136s (1) cores
% 32.38/5.85 % G-E--_208_B07_F1_AE_CS_SP_PS_S0Y with pid 3402429 completed with status 0
% 32.38/5.85 % Result found by G-E--_208_B07_F1_AE_CS_SP_PS_S0Y
% 32.38/5.85 % Preprocessing class: FMLLSMSLSSSNFFN.
% 32.38/5.85 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 32.38/5.85 % Starting G-E--_208_B07_F1_AE_CS_SP_PS_S0Y with 1500s (5) cores
% 32.38/5.85 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 32.38/5.85 % No SInE strategy applied
% 32.38/5.85 % Search class: FGHSM-SMLM31-MFFFFFNN
% 32.38/5.85 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 32.38/5.85 % Starting SubtermCWHack with 136s (1) cores
% 32.38/5.85 % Starting G-E--_208_B07_F1_AE_CS_SP_PS_S0Y with 151s (1) cores
% 32.38/5.85 % Preprocessing time : 0.175 s
% 32.38/5.85 % Presaturation interreduction done
% 32.38/5.85
% 32.38/5.85 % Proof found!
% 32.38/5.85 % SZS status Theorem
% 32.38/5.85 % SZS output start CNFRefutation
% See solution above
% 32.38/5.85 % Parsed axioms : 7221
% 32.38/5.85 % Removed by relevancy pruning/SinE : 0
% 32.38/5.85 % Initial clauses : 8414
% 32.38/5.85 % Removed in clause preprocessing : 63
% 32.38/5.85 % Initial clauses in saturation : 8351
% 32.38/5.85 % Processed clauses : 16809
% 32.38/5.85 % ...of these trivial : 545
% 32.38/5.85 % ...subsumed : 400
% 32.38/5.85 % ...remaining for further processing : 15864
% 32.38/5.85 % Other redundant clauses eliminated : 43
% 32.38/5.85 % Clauses deleted for lack of memory : 0
% 32.38/5.85 % Backward-subsumed : 213
% 32.38/5.85 % Backward-rewritten : 1724
% 32.38/5.85 % Generated clauses : 96556
% 32.38/5.85 % ...of the previous two non-redundant : 62300
% 32.38/5.85 % ...aggressively subsumed : 0
% 32.38/5.85 % Contextual simplify-reflections : 668
% 32.38/5.85 % Paramodulations : 96454
% 32.38/5.85 % Factorizations : 1
% 32.38/5.85 % NegExts : 0
% 32.38/5.85 % Equation resolutions : 62
% 32.38/5.85 % Disequality decompositions : 0
% 32.38/5.85 % Total rewrite steps : 12745
% 32.38/5.85 % ...of those cached : 7793
% 32.38/5.85 % Propositional unsat checks : 0
% 32.38/5.85 % Propositional check models : 0
% 32.38/5.85 % Propositional check unsatisfiable : 0
% 32.38/5.85 % Propositional clauses : 0
% 32.38/5.85 % Propositional clauses after purity: 0
% 32.38/5.85 % Propositional unsat core size : 0
% 32.38/5.85 % Propositional preprocessing time : 0.000
% 32.38/5.85 % Propositional encoding time : 0.000
% 32.38/5.85 % Propositional solver time : 0.000
% 32.38/5.85 % Success case prop preproc time : 0.000
% 32.38/5.85 % Success case prop encoding time : 0.000
% 32.38/5.85 % Success case prop solver time : 0.000
% 32.38/5.85 % Current number of processed clauses : 5725
% 32.38/5.85 % Positive orientable unit clauses : 3959
% 32.38/5.85 % Positive unorientable unit clauses: 1
% 32.38/5.85 % Negative unit clauses : 15
% 32.38/5.85 % Non-unit-clauses : 1750
% 32.38/5.85 % Current number of unprocessed clauses: 28122
% 32.38/5.85 % ...number of literals in the above : 72846
% 32.38/5.85 % Current number of archived formulas : 0
% 32.38/5.85 % Current number of archived clauses : 10131
% 32.38/5.85 % Clause-clause subsumption calls (NU) : 3214825
% 32.38/5.85 % Rec. Clause-clause subsumption calls : 818523
% 32.38/5.85 % Non-unit clause-clause subsumptions : 1075
% 32.38/5.85 % Unit Clause-clause subsumption calls : 292502
% 32.38/5.85 % Rewrite failures with RHS unbound : 9293
% 32.38/5.85 % BW rewrite match attempts : 31763
% 32.38/5.85 % BW rewrite match successes : 10472
% 32.38/5.85 % Condensation attempts : 0
% 32.38/5.85 % Condensation successes : 0
% 32.38/5.85 % Termbank termtop insertions : 1174440
% 32.38/5.85 % Search garbage collected termcells : 89737
% 32.38/5.85
% 32.38/5.85 % -------------------------------------------------
% 32.38/5.85 % User time : 4.750 s
% 32.38/5.85 % System time : 0.212 s
% 32.38/5.85 % Total time : 4.962 s
% 32.38/5.85 % Maximum resident set size: 31792 pages
% 32.38/5.85
% 32.38/5.85 % -------------------------------------------------
% 32.38/5.85 % User time : 20.660 s
% 32.38/5.85 % System time : 0.935 s
% 32.38/5.85 % Total time : 21.595 s
% 32.38/5.85 % Maximum resident set size: 12544 pages
% 32.38/5.85 % E exiting
%------------------------------------------------------------------------------