%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : KRS156+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 01:01:03 PM UTC 2026
% Result : Theorem 0.08s 0.43s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 7
% Syntax : Number of formulae : 39 ( 11 unt; 0 def)
% Number of atoms : 139 ( 0 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 179 ( 79 ~; 64 |; 29 &)
% ( 7 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 1 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 23 ( 2 sgn 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(the_axiom,conjecture,
( cC138(iV5475)
& cowlThing(iV5475)
& cC140(iV5475)
& cC116(iV5475)
& ! [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_129,axiom,
cowlThing(iV5475),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_129) ).
fof(axiom_127,axiom,
! [X1] :
( cTEST(X1)
<=> ( cC116(X1)
& cC140(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_127) ).
fof(axiom_131,axiom,
cTEST(iV5475),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_131) ).
fof(axiom_49,axiom,
! [X1] :
( cC140(X1)
<=> ( cC138(X1)
& cTOP(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_49) ).
fof(c_0_7,negated_conjecture,
~ ( cC138(iV5475)
& cowlThing(iV5475)
& cC140(iV5475)
& cC116(iV5475)
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& ! [X1] :
( ~ cowlNothing(X1)
& cowlThing(X1) ) ),
inference(assume_negation,[status(cth)],[the_axiom]) ).
fof(c_0_8,negated_conjecture,
~ ( cC138(iV5475)
& cowlThing(iV5475)
& cC140(iV5475)
& cC116(iV5475)
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& ! [X1] :
( ~ cowlNothing(X1)
& cowlThing(X1) ) ),
inference(fof_simplification,[status(thm)],[c_0_7]) ).
fof(c_0_9,plain,
! [X1] :
( ~ cowlNothing(X1)
& cowlThing(X1) ),
inference(fof_simplification,[status(thm)],[axiom_0]) ).
fof(c_0_10,negated_conjecture,
( ( ~ cC138(iV5475)
| ~ cowlThing(iV5475)
| ~ cC140(iV5475)
| ~ cC116(iV5475)
| cowlNothing(esk1_0)
| ~ cowlThing(esk1_0)
| ~ xsd_integer(esk2_0)
| xsd_string(esk2_0) )
& ( ~ cC138(iV5475)
| ~ cowlThing(iV5475)
| ~ cC140(iV5475)
| ~ cC116(iV5475)
| cowlNothing(esk1_0)
| ~ cowlThing(esk1_0)
| xsd_integer(esk2_0)
| ~ xsd_string(esk2_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_8])])])])]) ).
fof(c_0_11,plain,
! [X14] :
( ~ cowlNothing(X14)
& cowlThing(X14) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_9])]) ).
fof(c_0_12,plain,
! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) ),
inference(fof_simplification,[status(thm)],[axiom_1]) ).
cnf(c_0_13,negated_conjecture,
( ~ cC138(iV5475)
| ~ cowlThing(iV5475)
| ~ cC140(iV5475)
| ~ cC116(iV5475)
| ~ cowlThing(esk1_0)
| ~ xsd_integer(esk2_0)
| cowlNothing(esk1_0)
| xsd_string(esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_14,plain,
cowlThing(iV5475),
inference(split_conjunct,[status(thm)],[axiom_129]) ).
cnf(c_0_15,plain,
~ cowlNothing(X1),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_16,plain,
! [X13] :
( ( xsd_string(X13)
| xsd_integer(X13) )
& ( ~ xsd_integer(X13)
| ~ xsd_string(X13) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])]) ).
fof(c_0_17,plain,
! [X11] :
( ( cTEST(X11)
| ~ cC116(X11)
| ~ cC140(X11) )
& ( ~ cTEST(X11)
| cC116(X11) )
& ( ~ cTEST(X11)
| cC140(X11) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_127])])])]) ).
cnf(c_0_18,negated_conjecture,
( ~ cowlThing(esk1_0)
| ~ xsd_integer(esk2_0)
| ~ cC116(iV5475)
| ~ cC138(iV5475)
| ~ cC140(iV5475)
| xsd_string(esk2_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_13,c_0_14])]),c_0_15]) ).
cnf(c_0_19,plain,
cowlThing(X1),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_20,plain,
( ~ xsd_integer(X1)
| ~ xsd_string(X1) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_21,plain,
( ~ cTEST(X1)
| cC116(X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_22,plain,
cTEST(iV5475),
inference(split_conjunct,[status(thm)],[axiom_131]) ).
cnf(c_0_23,negated_conjecture,
( ~ cC138(iV5475)
| ~ cowlThing(iV5475)
| ~ cC140(iV5475)
| ~ cC116(iV5475)
| ~ cowlThing(esk1_0)
| ~ xsd_string(esk2_0)
| cowlNothing(esk1_0)
| xsd_integer(esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_24,negated_conjecture,
( ~ xsd_integer(esk2_0)
| ~ cC116(iV5475)
| ~ cC138(iV5475)
| ~ cC140(iV5475) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_18,c_0_19])]),c_0_20]) ).
cnf(c_0_25,plain,
cC116(iV5475),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
fof(c_0_26,plain,
! [X10] :
( ( cC140(X10)
| ~ cC138(X10)
| ~ cTOP(X10) )
& ( ~ cC140(X10)
| cC138(X10) )
& ( ~ cC140(X10)
| cTOP(X10) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_49])])])]) ).
cnf(c_0_27,negated_conjecture,
( ~ cowlThing(esk1_0)
| ~ xsd_string(esk2_0)
| ~ cC116(iV5475)
| ~ cC138(iV5475)
| ~ cC140(iV5475)
| xsd_integer(esk2_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_23,c_0_14])]),c_0_15]) ).
cnf(c_0_28,negated_conjecture,
( ~ xsd_integer(esk2_0)
| ~ cC138(iV5475)
| ~ cC140(iV5475) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_24,c_0_25])]) ).
cnf(c_0_29,plain,
( xsd_string(X1)
| xsd_integer(X1) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_30,plain,
( ~ cC140(X1)
| cC138(X1) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_31,plain,
( ~ cTEST(X1)
| cC140(X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_32,negated_conjecture,
( ~ xsd_string(esk2_0)
| ~ cC116(iV5475)
| ~ cC138(iV5475)
| ~ cC140(iV5475) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_27,c_0_19])]),c_0_20]) ).
cnf(c_0_33,negated_conjecture,
( ~ cC140(iV5475)
| xsd_string(esk2_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30]) ).
cnf(c_0_34,plain,
cC140(iV5475),
inference(spm,[status(thm)],[c_0_31,c_0_22]) ).
cnf(c_0_35,negated_conjecture,
( ~ xsd_string(esk2_0)
| ~ cC138(iV5475)
| ~ cC140(iV5475) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_32,c_0_25])]) ).
cnf(c_0_36,negated_conjecture,
xsd_string(esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_33,c_0_34])]) ).
cnf(c_0_37,negated_conjecture,
~ cC138(iV5475),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_35,c_0_34])]),c_0_36])]) ).
cnf(c_0_38,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_30]),c_0_34])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS156+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.36 % Computer : n007.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sun Sep 20 22:53:06 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.41 Running first-order theorem proving
% 0.08/0.41 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
% 0.08/0.43 % Version: 3.5.1
% 0.08/0.43 % Preprocessing class: FSLMSMSSSSSNFFN.
% 0.08/0.43 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.08/0.43 % Starting G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y with 900s (3) cores
% 0.08/0.43 % Starting new_bool_3 with 600s (2) cores
% 0.08/0.43 % Starting new_bool_1 with 600s (2) cores
% 0.08/0.43 % Starting sh5l with 300s (1) cores
% 0.08/0.43 % new_bool_3 with pid 3765703 completed with status 0
% 0.08/0.43 % Result found by new_bool_3
% 0.08/0.43 % Preprocessing class: FSLMSMSSSSSNFFN.
% 0.08/0.43 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.08/0.43 % Starting G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y with 900s (3) cores
% 0.08/0.43 % Starting new_bool_3 with 600s (2) cores
% 0.08/0.43 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.08/0.43 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.08/0.43 % Search class: FGHNF-FFSM11-SFFFFFNN
% 0.08/0.43 % Scheduled 5 strats onto 2 cores with 600 seconds (600 total)
% 0.08/0.43 % Starting SubtermCWHack with 61s (1) cores
% 0.08/0.43 % Starting SAT001_MinMin_p005000_rr_RG with 361s (1) cores
% 0.08/0.43 % SAT001_MinMin_p005000_rr_RG with pid 3765709 completed with status 0
% 0.08/0.43 % Result found by SAT001_MinMin_p005000_rr_RG
% 0.08/0.43 % Preprocessing class: FSLMSMSSSSSNFFN.
% 0.08/0.43 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.08/0.43 % Starting G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y with 900s (3) cores
% 0.08/0.43 % Starting new_bool_3 with 600s (2) cores
% 0.08/0.43 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.08/0.43 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.08/0.43 % Search class: FGHNF-FFSM11-SFFFFFNN
% 0.08/0.43 % Scheduled 5 strats onto 2 cores with 600 seconds (600 total)
% 0.08/0.43 % Starting SubtermCWHack with 61s (1) cores
% 0.08/0.43 % Starting SAT001_MinMin_p005000_rr_RG with 361s (1) cores
% 0.08/0.43 % Preprocessing time : 0.001 s
% 0.08/0.43 % Presaturation interreduction done
% 0.08/0.43
% 0.08/0.43 % Proof found!
% 0.08/0.43 % SZS status Theorem
% 0.08/0.43 % SZS output start CNFRefutation
% See solution above
% 0.08/0.43 % Parsed axioms : 146
% 0.08/0.43 % Removed by relevancy pruning/SinE : 128
% 0.08/0.43 % Initial clauses : 35
% 0.08/0.43 % Removed in clause preprocessing : 0
% 0.08/0.43 % Initial clauses in saturation : 35
% 0.08/0.43 % Processed clauses : 60
% 0.08/0.43 % ...of these trivial : 0
% 0.08/0.43 % ...subsumed : 0
% 0.08/0.43 % ...remaining for further processing : 60
% 0.08/0.43 % Other redundant clauses eliminated : 0
% 0.08/0.43 % Clauses deleted for lack of memory : 0
% 0.08/0.43 % Backward-subsumed : 1
% 0.08/0.43 % Backward-rewritten : 8
% 0.08/0.43 % Generated clauses : 7
% 0.08/0.43 % ...of the previous two non-redundant : 10
% 0.08/0.43 % ...aggressively subsumed : 0
% 0.08/0.43 % Contextual simplify-reflections : 3
% 0.08/0.43 % Paramodulations : 7
% 0.08/0.43 % Factorizations : 0
% 0.08/0.43 % NegExts : 0
% 0.08/0.43 % Equation resolutions : 0
% 0.08/0.43 % Disequality decompositions : 0
% 0.08/0.43 % Total rewrite steps : 14
% 0.08/0.43 % ...of those cached : 7
% 0.08/0.43 % Propositional unsat checks : 0
% 0.08/0.43 % Propositional check models : 0
% 0.08/0.43 % Propositional check unsatisfiable : 0
% 0.08/0.43 % Propositional clauses : 0
% 0.08/0.43 % Propositional clauses after purity: 0
% 0.08/0.43 % Propositional unsat core size : 0
% 0.08/0.43 % Propositional preprocessing time : 0.000
% 0.08/0.43 % Propositional encoding time : 0.000
% 0.08/0.43 % Propositional solver time : 0.000
% 0.08/0.43 % Success case prop preproc time : 0.000
% 0.08/0.43 % Success case prop encoding time : 0.000
% 0.08/0.43 % Success case prop solver time : 0.000
% 0.08/0.43 % Current number of processed clauses : 18
% 0.08/0.43 % Positive orientable unit clauses : 8
% 0.08/0.43 % Positive unorientable unit clauses: 0
% 0.08/0.43 % Negative unit clauses : 2
% 0.08/0.43 % Non-unit-clauses : 8
% 0.08/0.43 % Current number of unprocessed clauses: 17
% 0.08/0.43 % ...number of literals in the above : 40
% 0.08/0.43 % Current number of archived formulas : 0
% 0.08/0.43 % Current number of archived clauses : 42
% 0.08/0.43 % Clause-clause subsumption calls (NU) : 186
% 0.08/0.43 % Rec. Clause-clause subsumption calls : 142
% 0.08/0.43 % Non-unit clause-clause subsumptions : 3
% 0.08/0.43 % Unit Clause-clause subsumption calls : 2
% 0.08/0.43 % Rewrite failures with RHS unbound : 0
% 0.08/0.43 % BW rewrite match attempts : 5
% 0.08/0.43 % BW rewrite match successes : 5
% 0.08/0.43 % Condensation attempts : 0
% 0.08/0.43 % Condensation successes : 0
% 0.08/0.43 % Termbank termtop insertions : 3074
% 0.08/0.43 % Search garbage collected termcells : 1165
% 0.08/0.43
% 0.08/0.43 % -------------------------------------------------
% 0.08/0.43 % User time : 0.004 s
% 0.08/0.43 % System time : 0.004 s
% 0.08/0.43 % Total time : 0.008 s
% 0.08/0.43 % Maximum resident set size: 4040 pages
% 0.08/0.43
% 0.08/0.43 % -------------------------------------------------
% 0.08/0.43 % User time : 0.010 s
% 0.08/0.43 % System time : 0.010 s
% 0.08/0.43 % Total time : 0.020 s
% 0.08/0.43 % Maximum resident set size: 4608 pages
% 0.08/0.43 % E exiting
%------------------------------------------------------------------------------