%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : KRS165+1 : TPTP v9.3.1. Released v3.1.0.
% 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 01:01:04 PM UTC 2026
% Result : Theorem 0.14s 0.44s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 4
% Syntax : Number of formulae : 43 ( 5 unt; 0 def)
% Number of atoms : 189 ( 0 equ)
% Maximal formula atoms : 48 ( 4 avg)
% Number of connectives : 222 ( 76 ~; 110 |; 24 &)
% ( 6 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 26 ( 2 sgn 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(the_axiom,conjecture,
( ! [X1] :
( cCar(X1)
=> cAutomobile(X1) )
& ! [X1] :
( cAutomobile(X1)
=> cCar(X1) )
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& ! [X1] :
( ~ cowlNothing(X1)
& cowlThing(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).
fof(axiom_0,axiom,
! [X1] :
( ~ cowlNothing(X1)
& cowlThing(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_0) ).
fof(axiom_1,axiom,
! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).
fof(axiom_2,axiom,
! [X1] :
( cCar(X1)
<=> cAutomobile(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(c_0_4,negated_conjecture,
~ ( ! [X1] :
( cCar(X1)
=> cAutomobile(X1) )
& ! [X1] :
( cAutomobile(X1)
=> cCar(X1) )
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& ! [X1] :
( ~ cowlNothing(X1)
& cowlThing(X1) ) ),
inference(assume_negation,[status(cth)],[the_axiom]) ).
fof(c_0_5,negated_conjecture,
~ ( ! [X1] :
( cCar(X1)
=> cAutomobile(X1) )
& ! [X1] :
( cAutomobile(X1)
=> cCar(X1) )
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& ! [X1] :
( ~ cowlNothing(X1)
& cowlThing(X1) ) ),
inference(fof_simplification,[status(thm)],[c_0_4]) ).
fof(c_0_6,plain,
! [X1] :
( ~ cowlNothing(X1)
& cowlThing(X1) ),
inference(fof_simplification,[status(thm)],[axiom_0]) ).
fof(c_0_7,plain,
! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) ),
inference(fof_simplification,[status(thm)],[axiom_1]) ).
fof(c_0_8,negated_conjecture,
( ( cowlNothing(esk1_0)
| ~ cowlThing(esk1_0)
| ~ xsd_integer(esk2_0)
| xsd_string(esk2_0)
| ~ cCar(esk3_0)
| ~ cAutomobile(esk4_0) )
& ( cowlNothing(esk1_0)
| ~ cowlThing(esk1_0)
| ~ xsd_integer(esk2_0)
| xsd_string(esk2_0)
| ~ cCar(esk3_0)
| cCar(esk4_0) )
& ( cowlNothing(esk1_0)
| ~ cowlThing(esk1_0)
| ~ xsd_integer(esk2_0)
| xsd_string(esk2_0)
| cAutomobile(esk3_0)
| ~ cAutomobile(esk4_0) )
& ( cowlNothing(esk1_0)
| ~ cowlThing(esk1_0)
| ~ xsd_integer(esk2_0)
| xsd_string(esk2_0)
| cAutomobile(esk3_0)
| cCar(esk4_0) )
& ( cowlNothing(esk1_0)
| ~ cowlThing(esk1_0)
| xsd_integer(esk2_0)
| ~ xsd_string(esk2_0)
| ~ cCar(esk3_0)
| ~ cAutomobile(esk4_0) )
& ( cowlNothing(esk1_0)
| ~ cowlThing(esk1_0)
| xsd_integer(esk2_0)
| ~ xsd_string(esk2_0)
| ~ cCar(esk3_0)
| cCar(esk4_0) )
& ( cowlNothing(esk1_0)
| ~ cowlThing(esk1_0)
| xsd_integer(esk2_0)
| ~ xsd_string(esk2_0)
| cAutomobile(esk3_0)
| ~ cAutomobile(esk4_0) )
& ( cowlNothing(esk1_0)
| ~ cowlThing(esk1_0)
| xsd_integer(esk2_0)
| ~ xsd_string(esk2_0)
| cAutomobile(esk3_0)
| cCar(esk4_0) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])])]) ).
fof(c_0_9,plain,
! [X8] :
( ~ cowlNothing(X8)
& cowlThing(X8) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_6])]) ).
fof(c_0_10,plain,
! [X7] :
( ( xsd_string(X7)
| xsd_integer(X7) )
& ( ~ xsd_integer(X7)
| ~ xsd_string(X7) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])]) ).
fof(c_0_11,plain,
! [X6] :
( ( cCar(X6)
| ~ cAutomobile(X6) )
& ( cAutomobile(X6)
| ~ cCar(X6) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_2])])]) ).
cnf(c_0_12,negated_conjecture,
( ~ cowlThing(esk1_0)
| ~ xsd_integer(esk2_0)
| cowlNothing(esk1_0)
| xsd_string(esk2_0)
| cAutomobile(esk3_0)
| cCar(esk4_0) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,plain,
cowlThing(X1),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_14,plain,
~ cowlNothing(X1),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_15,plain,
( xsd_string(X1)
| xsd_integer(X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_16,negated_conjecture,
( ~ cowlThing(esk1_0)
| ~ xsd_integer(esk2_0)
| ~ cAutomobile(esk4_0)
| cowlNothing(esk1_0)
| xsd_string(esk2_0)
| cAutomobile(esk3_0) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_17,plain,
( ~ cAutomobile(X1)
| cCar(X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_18,negated_conjecture,
( xsd_string(esk2_0)
| cCar(esk4_0)
| cAutomobile(esk3_0) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_13])]),c_0_14]),c_0_15]) ).
cnf(c_0_19,negated_conjecture,
( ~ cAutomobile(esk4_0)
| xsd_string(esk2_0)
| cAutomobile(esk3_0) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_13])]),c_0_14]),c_0_15]) ).
cnf(c_0_20,negated_conjecture,
( ~ cowlThing(esk1_0)
| ~ xsd_integer(esk2_0)
| ~ cCar(esk3_0)
| cowlNothing(esk1_0)
| xsd_string(esk2_0)
| cCar(esk4_0) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_21,negated_conjecture,
( xsd_string(esk2_0)
| cCar(esk3_0)
| cCar(esk4_0) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_22,negated_conjecture,
( ~ cowlThing(esk1_0)
| ~ xsd_string(esk2_0)
| cowlNothing(esk1_0)
| xsd_integer(esk2_0)
| cAutomobile(esk3_0)
| cCar(esk4_0) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_23,negated_conjecture,
( ~ cAutomobile(esk4_0)
| xsd_string(esk2_0)
| cCar(esk3_0) ),
inference(spm,[status(thm)],[c_0_17,c_0_19]) ).
cnf(c_0_24,plain,
( ~ cCar(X1)
| cAutomobile(X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_25,negated_conjecture,
( xsd_string(esk2_0)
| cCar(esk4_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_20,c_0_13])]),c_0_14]),c_0_15]),c_0_21]) ).
cnf(c_0_26,negated_conjecture,
( ~ cowlThing(esk1_0)
| ~ xsd_string(esk2_0)
| ~ cAutomobile(esk4_0)
| cowlNothing(esk1_0)
| xsd_integer(esk2_0)
| cAutomobile(esk3_0) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_27,negated_conjecture,
( xsd_integer(esk2_0)
| cCar(esk4_0)
| cAutomobile(esk3_0) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_22,c_0_13])]),c_0_14]),c_0_15]) ).
cnf(c_0_28,negated_conjecture,
( ~ cowlThing(esk1_0)
| ~ xsd_integer(esk2_0)
| ~ cCar(esk3_0)
| ~ cAutomobile(esk4_0)
| cowlNothing(esk1_0)
| xsd_string(esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_29,negated_conjecture,
( xsd_string(esk2_0)
| cCar(esk3_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25]) ).
cnf(c_0_30,negated_conjecture,
( ~ cAutomobile(esk4_0)
| xsd_integer(esk2_0)
| cAutomobile(esk3_0) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_26,c_0_13])]),c_0_14]),c_0_15]) ).
cnf(c_0_31,negated_conjecture,
( ~ cowlThing(esk1_0)
| ~ xsd_string(esk2_0)
| ~ cCar(esk3_0)
| cowlNothing(esk1_0)
| xsd_integer(esk2_0)
| cCar(esk4_0) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_32,negated_conjecture,
( xsd_integer(esk2_0)
| cCar(esk3_0)
| cCar(esk4_0) ),
inference(spm,[status(thm)],[c_0_17,c_0_27]) ).
cnf(c_0_33,negated_conjecture,
( ~ cAutomobile(esk4_0)
| xsd_string(esk2_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_28,c_0_13])]),c_0_14]),c_0_15]),c_0_29]) ).
cnf(c_0_34,negated_conjecture,
( ~ cAutomobile(esk4_0)
| xsd_integer(esk2_0)
| cCar(esk3_0) ),
inference(spm,[status(thm)],[c_0_17,c_0_30]) ).
cnf(c_0_35,negated_conjecture,
( xsd_integer(esk2_0)
| cCar(esk4_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_31,c_0_13])]),c_0_14]),c_0_15]),c_0_32]) ).
cnf(c_0_36,negated_conjecture,
( ~ cowlThing(esk1_0)
| ~ xsd_string(esk2_0)
| ~ cCar(esk3_0)
| ~ cAutomobile(esk4_0)
| cowlNothing(esk1_0)
| xsd_integer(esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_37,negated_conjecture,
xsd_string(esk2_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_24]),c_0_25]) ).
cnf(c_0_38,negated_conjecture,
( xsd_integer(esk2_0)
| cCar(esk3_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_24]),c_0_35]) ).
cnf(c_0_39,negated_conjecture,
( ~ cAutomobile(esk4_0)
| xsd_integer(esk2_0) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_36,c_0_13]),c_0_37])]),c_0_14]),c_0_38]) ).
cnf(c_0_40,plain,
( ~ xsd_integer(X1)
| ~ xsd_string(X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_41,negated_conjecture,
xsd_integer(esk2_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_24]),c_0_35]) ).
cnf(c_0_42,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_37])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS165+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.37 % Computer : n007.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 20 22:52:51 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.42 Running first-order theorem proving
% 0.14/0.42 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
% 0.14/0.44 % Version: 3.5.1
% 0.14/0.44 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.14/0.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.44 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.14/0.44 % Starting new_bool_3 with 300s (1) cores
% 0.14/0.44 % Starting new_bool_1 with 300s (1) cores
% 0.14/0.44 % Starting sh5l with 300s (1) cores
% 0.14/0.44 % new_bool_1 with pid 3764934 completed with status 0
% 0.14/0.44 % Result found by new_bool_1
% 0.14/0.44 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.14/0.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.44 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.14/0.44 % Starting new_bool_3 with 300s (1) cores
% 0.14/0.44 % Starting new_bool_1 with 300s (1) cores
% 0.14/0.44 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.14/0.44 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.14/0.44 % Search class: FGHNF-FFSF00-SFFFFFNN
% 0.14/0.44 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.14/0.44 % Starting SubtermCWHack with 31s (1) cores
% 0.14/0.44 % SubtermCWHack with pid 3764943 completed with status 0
% 0.14/0.44 % Result found by SubtermCWHack
% 0.14/0.44 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.14/0.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.44 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.14/0.44 % Starting new_bool_3 with 300s (1) cores
% 0.14/0.44 % Starting new_bool_1 with 300s (1) cores
% 0.14/0.44 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.14/0.44 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.14/0.44 % Search class: FGHNF-FFSF00-SFFFFFNN
% 0.14/0.44 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.14/0.44 % Starting SubtermCWHack with 31s (1) cores
% 0.14/0.44 % Preprocessing time : 0.001 s
% 0.14/0.44
% 0.14/0.44 % Proof found!
% 0.14/0.44 % SZS status Theorem
% 0.14/0.44 % SZS output start CNFRefutation
% See solution above
% 0.14/0.44 % Parsed axioms : 4
% 0.14/0.44 % Removed by relevancy pruning/SinE : 0
% 0.14/0.44 % Initial clauses : 14
% 0.14/0.44 % Removed in clause preprocessing : 0
% 0.14/0.44 % Initial clauses in saturation : 14
% 0.14/0.44 % Processed clauses : 22
% 0.14/0.44 % ...of these trivial : 0
% 0.14/0.44 % ...subsumed : 0
% 0.14/0.44 % ...remaining for further processing : 22
% 0.14/0.44 % Other redundant clauses eliminated : 0
% 0.14/0.44 % Clauses deleted for lack of memory : 0
% 0.14/0.44 % Backward-subsumed : 8
% 0.14/0.44 % Backward-rewritten : 6
% 0.14/0.44 % Generated clauses : 11
% 0.14/0.44 % ...of the previous two non-redundant : 8
% 0.14/0.44 % ...aggressively subsumed : 0
% 0.14/0.44 % Contextual simplify-reflections : 15
% 0.14/0.44 % Paramodulations : 11
% 0.14/0.44 % Factorizations : 0
% 0.14/0.44 % NegExts : 0
% 0.14/0.44 % Equation resolutions : 0
% 0.14/0.44 % Disequality decompositions : 0
% 0.14/0.44 % Total rewrite steps : 16
% 0.14/0.44 % ...of those cached : 13
% 0.14/0.44 % Propositional unsat checks : 0
% 0.14/0.44 % Propositional check models : 0
% 0.14/0.44 % Propositional check unsatisfiable : 0
% 0.14/0.44 % Propositional clauses : 0
% 0.14/0.44 % Propositional clauses after purity: 0
% 0.14/0.44 % Propositional unsat core size : 0
% 0.14/0.44 % Propositional preprocessing time : 0.000
% 0.14/0.44 % Propositional encoding time : 0.000
% 0.14/0.44 % Propositional solver time : 0.000
% 0.14/0.44 % Success case prop preproc time : 0.000
% 0.14/0.44 % Success case prop encoding time : 0.000
% 0.14/0.44 % Success case prop solver time : 0.000
% 0.14/0.44 % Current number of processed clauses : 8
% 0.14/0.44 % Positive orientable unit clauses : 3
% 0.14/0.44 % Positive unorientable unit clauses: 0
% 0.14/0.44 % Negative unit clauses : 1
% 0.14/0.44 % Non-unit-clauses : 4
% 0.14/0.44 % Current number of unprocessed clauses: 0
% 0.14/0.44 % ...number of literals in the above : 0
% 0.14/0.44 % Current number of archived formulas : 0
% 0.14/0.44 % Current number of archived clauses : 14
% 0.14/0.44 % Clause-clause subsumption calls (NU) : 65
% 0.14/0.44 % Rec. Clause-clause subsumption calls : 61
% 0.14/0.44 % Non-unit clause-clause subsumptions : 23
% 0.14/0.44 % Unit Clause-clause subsumption calls : 0
% 0.14/0.44 % Rewrite failures with RHS unbound : 0
% 0.14/0.44 % BW rewrite match attempts : 2
% 0.14/0.44 % BW rewrite match successes : 2
% 0.14/0.44 % Condensation attempts : 0
% 0.14/0.44 % Condensation successes : 0
% 0.14/0.44 % Termbank termtop insertions : 926
% 0.14/0.44 % Search garbage collected termcells : 173
% 0.14/0.44
% 0.14/0.44 % -------------------------------------------------
% 0.14/0.44 % User time : 0.003 s
% 0.14/0.44 % System time : 0.003 s
% 0.14/0.44 % Total time : 0.006 s
% 0.14/0.44 % Maximum resident set size: 3628 pages
% 0.14/0.44
% 0.14/0.44 % -------------------------------------------------
% 0.14/0.44 % User time : 0.003 s
% 0.14/0.44 % System time : 0.008 s
% 0.14/0.44 % Total time : 0.012 s
% 0.14/0.44 % Maximum resident set size: 4864 pages
% 0.14/0.44 % E exiting
%------------------------------------------------------------------------------