%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : GEO275+1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n014.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 12:29:59 PM UTC 2026
% Result : Theorem 0.17s 0.55s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 22 ( 9 unt; 0 def)
% Number of atoms : 81 ( 24 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 101 ( 42 ~; 37 |; 19 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 35 ( 0 sgn 14 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof('qu(cond(axiom(182), 0), imp(cond(axiom(182), 0)))',axiom,
! [X608,X609,X610,X611,X612] :
( ( ? [X614] :
( rpoint(X614)
& X608 = X614 )
& ? [X613] :
( rpoint(X613)
& X609 = X613 )
& rcenter(X610,X611)
& rcenter(X610,X612)
& ron(X608,X611)
& ron(X609,X612)
& vf(X610,X608) = vf(X610,X609) )
=> X611 = X612 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(182), 0), imp(cond(axiom(182), 0)))') ).
fof('qu(theu(the(228), 1), imp(the(228)))',conjecture,
! [X1] :
( ( rcircle(X1)
& rcenter(vd1080,X1)
& ron(vd1081,X1) )
=> X1 = vd1095 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(theu(the(228), 1), imp(the(228)))') ).
fof('and(pred(comma_conjunct2(the(228)), 0), and(pred(comma_conjunct1(the(228)), 0), pred(the(228), 0)))',axiom,
( rcircle(vd1095)
& rcenter(vd1080,vd1095)
& ron(vd1081,vd1095) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','and(pred(comma_conjunct2(the(228)), 0), and(pred(comma_conjunct1(the(228)), 0), pred(the(228), 0)))') ).
fof('qe(s2(plural(224)))',axiom,
? [X2] :
( rpoint(X2)
& vd1081 = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qe(s2(plural(224)))') ).
fof(c_0_4,plain,
! [X1350,X1351,X1352,X1353,X1354,X1355,X1356] :
( X1353 = X1354
| ~ rpoint(X1356)
| X1350 != X1356
| ~ rpoint(X1355)
| X1351 != X1355
| ~ rcenter(X1352,X1353)
| ~ rcenter(X1352,X1354)
| ~ ron(X1350,X1353)
| ~ ron(X1351,X1354)
| vf(X1352,X1350) != vf(X1352,X1351) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(182), 0), imp(cond(axiom(182), 0)))'])])])]) ).
fof(c_0_5,negated_conjecture,
~ ! [X1] :
( ( rcircle(X1)
& rcenter(vd1080,X1)
& ron(vd1081,X1) )
=> X1 = vd1095 ),
inference(assume_negation,[status(cth)],['qu(theu(the(228), 1), imp(the(228)))']) ).
cnf(c_0_6,plain,
( ~ rpoint(X7)
| X2 != X7
| ~ rpoint(X6)
| X3 != X6
| ~ rcenter(X1,X5)
| ~ rcenter(X1,X4)
| ~ ron(X2,X5)
| ~ ron(X3,X4)
| vf(X1,X2) != vf(X1,X3)
| X5 = X4 ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
fof(c_0_7,negated_conjecture,
( esk1_0 != vd1095
& rcircle(esk1_0)
& rcenter(vd1080,esk1_0)
& ron(vd1081,esk1_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_8,plain,
( ~ ron(X4,X2)
| ~ ron(X5,X1)
| ~ rcenter(X3,X1)
| ~ rcenter(X3,X2)
| ~ rpoint(X5)
| ~ rpoint(X4)
| vf(X3,X4) != vf(X3,X5)
| X1 = X2 ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_6])]) ).
cnf(c_0_9,negated_conjecture,
rcenter(vd1080,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_10,negated_conjecture,
( ~ ron(X3,X1)
| ~ ron(X2,esk1_0)
| ~ rcenter(vd1080,X1)
| ~ rpoint(X3)
| ~ rpoint(X2)
| vf(vd1080,X2) != vf(vd1080,X3)
| X1 = esk1_0 ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_11,plain,
rcenter(vd1080,vd1095),
inference(split_conjunct,[status(thm)],['and(pred(comma_conjunct2(the(228)), 0), and(pred(comma_conjunct1(the(228)), 0), pred(the(228), 0)))']) ).
cnf(c_0_12,negated_conjecture,
esk1_0 != vd1095,
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_13,plain,
( rpoint(esk2_0)
& vd1081 = esk2_0 ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],['qe(s2(plural(224)))'])]) ).
cnf(c_0_14,negated_conjecture,
( ~ ron(X2,vd1095)
| ~ ron(X1,esk1_0)
| ~ rpoint(X2)
| ~ rpoint(X1)
| vf(vd1080,X1) != vf(vd1080,X2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12]) ).
cnf(c_0_15,plain,
rpoint(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_16,plain,
vd1081 = esk2_0,
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_17,negated_conjecture,
( ~ ron(X1,vd1095)
| ~ ron(X1,esk1_0)
| ~ rpoint(X1) ),
inference(er,[status(thm)],[c_0_14]) ).
cnf(c_0_18,negated_conjecture,
ron(vd1081,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_19,plain,
rpoint(vd1081),
inference(rw,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_20,plain,
ron(vd1081,vd1095),
inference(split_conjunct,[status(thm)],['and(pred(comma_conjunct2(the(228)), 0), and(pred(comma_conjunct1(the(228)), 0), pred(the(228), 0)))']) ).
cnf(c_0_21,negated_conjecture,
$false,
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])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO275+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.37 % Computer : n014.cluster.edu
% 0.08/0.37 % Model : x86_64 x86_64
% 0.08/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.37 % Memory : 8046.5625MB
% 0.08/0.37 % OS : Linux 6.8.0-71-generic
% 0.08/0.37 % CPULimit : 300
% 0.08/0.37 % WCLimit : 300
% 0.08/0.37 % DateTime : Sun Sep 20 15:02:04 UTC 2026
% 0.08/0.37 % CPUTime :
% 0.08/0.37 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.41 Running first-order theorem proving
% 0.08/0.41 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
% 0.17/0.55 % Version: 3.5.1
% 0.17/0.55 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.17/0.55 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.55 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.17/0.55 % Starting new_bool_3 with 300s (1) cores
% 0.17/0.55 % Starting new_bool_1 with 300s (1) cores
% 0.17/0.55 % Starting sh5l with 300s (1) cores
% 0.17/0.55 % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 1823219 completed with status 0
% 0.17/0.55 % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.17/0.55 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.17/0.55 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.55 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.17/0.55 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.17/0.55 % No SInE strategy applied
% 0.17/0.55 % Search class: FGHSF-FSLM33-SFFFFFNN
% 0.17/0.55 % Scheduled 11 strats onto 5 cores with 1500 seconds (1500 total)
% 0.17/0.55 % Starting SubtermCWHack with 136s (1) cores
% 0.17/0.55 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.17/0.55 % Starting G-E--_302_C18_F1_URBAN_S0Y with 136s (1) cores
% 0.17/0.55 % Starting H----_102_C18_F1_PI_AE_CS_SP_PS_S0Y with 136s (1) cores
% 0.17/0.55 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 136s (1) cores
% 0.17/0.55 % G-E--_302_C18_F1_URBAN_S0Y with pid 1823228 completed with status 0
% 0.17/0.55 % Result found by G-E--_302_C18_F1_URBAN_S0Y
% 0.17/0.55 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.17/0.55 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.55 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.17/0.55 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.17/0.55 % No SInE strategy applied
% 0.17/0.55 % Search class: FGHSF-FSLM33-SFFFFFNN
% 0.17/0.55 % Scheduled 11 strats onto 5 cores with 1500 seconds (1500 total)
% 0.17/0.55 % Starting SubtermCWHack with 136s (1) cores
% 0.17/0.55 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.17/0.55 % Starting G-E--_302_C18_F1_URBAN_S0Y with 136s (1) cores
% 0.17/0.55 % Preprocessing time : 0.010 s
% 0.17/0.55
% 0.17/0.55 % Proof found!
% 0.17/0.55 % SZS status Theorem
% 0.17/0.55 % SZS output start CNFRefutation
% See solution above
% 0.17/0.55 % Parsed axioms : 120
% 0.17/0.55 % Removed by relevancy pruning/SinE : 0
% 0.17/0.55 % Initial clauses : 275
% 0.17/0.55 % Removed in clause preprocessing : 2
% 0.17/0.55 % Initial clauses in saturation : 273
% 0.17/0.55 % Processed clauses : 534
% 0.17/0.55 % ...of these trivial : 6
% 0.17/0.55 % ...subsumed : 40
% 0.17/0.55 % ...remaining for further processing : 488
% 0.17/0.55 % Other redundant clauses eliminated : 1094
% 0.17/0.55 % Clauses deleted for lack of memory : 0
% 0.17/0.55 % Backward-subsumed : 2
% 0.17/0.55 % Backward-rewritten : 9
% 0.17/0.55 % Generated clauses : 817
% 0.17/0.55 % ...of the previous two non-redundant : 796
% 0.17/0.55 % ...aggressively subsumed : 0
% 0.17/0.55 % Contextual simplify-reflections : 21
% 0.17/0.55 % Paramodulations : 569
% 0.17/0.55 % Factorizations : 0
% 0.17/0.55 % NegExts : 0
% 0.17/0.55 % Equation resolutions : 1107
% 0.17/0.55 % Disequality decompositions : 0
% 0.17/0.55 % Total rewrite steps : 280
% 0.17/0.55 % ...of those cached : 257
% 0.17/0.55 % Propositional unsat checks : 0
% 0.17/0.55 % Propositional check models : 0
% 0.17/0.55 % Propositional check unsatisfiable : 0
% 0.17/0.55 % Propositional clauses : 0
% 0.17/0.55 % Propositional clauses after purity: 0
% 0.17/0.55 % Propositional unsat core size : 0
% 0.17/0.55 % Propositional preprocessing time : 0.000
% 0.17/0.55 % Propositional encoding time : 0.000
% 0.17/0.55 % Propositional solver time : 0.000
% 0.17/0.55 % Success case prop preproc time : 0.000
% 0.17/0.55 % Success case prop encoding time : 0.000
% 0.17/0.55 % Success case prop solver time : 0.000
% 0.17/0.55 % Current number of processed clauses : 242
% 0.17/0.55 % Positive orientable unit clauses : 30
% 0.17/0.55 % Positive unorientable unit clauses: 0
% 0.17/0.55 % Negative unit clauses : 10
% 0.17/0.55 % Non-unit-clauses : 202
% 0.17/0.55 % Current number of unprocessed clauses: 521
% 0.17/0.55 % ...number of literals in the above : 5291
% 0.17/0.55 % Current number of archived formulas : 0
% 0.17/0.55 % Current number of archived clauses : 11
% 0.17/0.55 % Clause-clause subsumption calls (NU) : 38253
% 0.17/0.55 % Rec. Clause-clause subsumption calls : 2547
% 0.17/0.55 % Non-unit clause-clause subsumptions : 49
% 0.17/0.55 % Unit Clause-clause subsumption calls : 214
% 0.17/0.55 % Rewrite failures with RHS unbound : 0
% 0.17/0.55 % BW rewrite match attempts : 4
% 0.17/0.55 % BW rewrite match successes : 4
% 0.17/0.55 % Condensation attempts : 0
% 0.17/0.55 % Condensation successes : 0
% 0.17/0.55 % Termbank termtop insertions : 76278
% 0.17/0.55 % Search garbage collected termcells : 13882
% 0.17/0.55
% 0.17/0.55 % -------------------------------------------------
% 0.17/0.55 % User time : 0.103 s
% 0.17/0.55 % System time : 0.005 s
% 0.17/0.55 % Total time : 0.108 s
% 0.17/0.55 % Maximum resident set size: 5996 pages
% 0.17/0.55
% 0.17/0.55 % -------------------------------------------------
% 0.17/0.55 % User time : 0.296 s
% 0.17/0.55 % System time : 0.031 s
% 0.17/0.55 % Total time : 0.327 s
% 0.17/0.55 % Maximum resident set size: 5632 pages
% 0.17/0.55 % E exiting
%------------------------------------------------------------------------------