%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : KRS189+1 : TPTP v9.2.1. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 04:36:48 PM UTC 2026
% Result : Theorem 17.55s 10.96s
% Output : CNFRefutation 17.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 19 ( 4 unt; 0 def)
% Number of atoms : 73 ( 0 equ)
% Maximal formula atoms : 20 ( 3 avg)
% Number of connectives : 80 ( 26 ~; 33 |; 13 &)
% ( 6 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-2 aty)
% Number of variables : 52 ( 0 sgn 32 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(eth,axiom,
! [X1,X2] :
( ( ? [X3] : model(X3,X1)
& ? [X4] : ~ model(X4,X1)
& ! [X5] :
( model(X5,X1)
<=> model(X5,X2) ) )
<=> status(X1,X2,eth) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KRS001+0.ax',eth) ).
fof(isa,axiom,
! [X7,X8] :
( ! [X1,X2] :
( status(X1,X2,X7)
=> status(X1,X2,X8) )
<=> isa(X7,X8) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KRS001+1.ax',isa) ).
fof(thm,axiom,
! [X1,X2] :
( ! [X3] :
( model(X3,X1)
=> model(X3,X2) )
<=> status(X1,X2,thm) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KRS001+0.ax',thm) ).
fof(isa_eth_thm,conjecture,
isa(eth,thm),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',isa_eth_thm) ).
fof(c_0_4,plain,
! [X1,X2] :
( ( ? [X3] : model(X3,X1)
& ? [X4] : ~ model(X4,X1)
& ! [X5] :
( model(X5,X1)
<=> model(X5,X2) ) )
<=> status(X1,X2,eth) ),
inference(fof_simplification,[status(thm)],[eth]) ).
fof(c_0_5,plain,
! [X200,X201,X202,X203,X205,X206,X209,X210] :
( ( ~ model(esk18_2(X200,X201),X200)
| ~ model(esk18_2(X200,X201),X201)
| ~ model(X202,X200)
| model(X203,X200)
| status(X200,X201,eth) )
& ( model(esk18_2(X200,X201),X200)
| model(esk18_2(X200,X201),X201)
| ~ model(X202,X200)
| model(X203,X200)
| status(X200,X201,eth) )
& ( model(esk19_2(X205,X206),X205)
| ~ status(X205,X206,eth) )
& ( ~ model(esk20_2(X205,X206),X205)
| ~ status(X205,X206,eth) )
& ( ~ model(X209,X205)
| model(X209,X206)
| ~ status(X205,X206,eth) )
& ( ~ model(X210,X206)
| model(X210,X205)
| ~ status(X205,X206,eth) ) ),
inference(distribute,[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)],[c_0_4])])])])])]) ).
fof(c_0_6,plain,
! [X303,X304,X307,X308,X309,X310] :
( ( status(esk45_2(X303,X304),esk46_2(X303,X304),X303)
| isa(X303,X304) )
& ( ~ status(esk45_2(X303,X304),esk46_2(X303,X304),X304)
| isa(X303,X304) )
& ( ~ isa(X307,X308)
| ~ status(X309,X310,X307)
| status(X309,X310,X308) ) ),
inference(distribute,[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)],[isa])])])])])]) ).
cnf(c_0_7,plain,
( model(X1,X3)
| ~ model(X1,X2)
| ~ status(X2,X3,eth) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,plain,
( status(esk45_2(X1,X2),esk46_2(X1,X2),X1)
| isa(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_9,plain,
! [X167,X168,X170,X171,X172] :
( ( model(esk10_2(X167,X168),X167)
| status(X167,X168,thm) )
& ( ~ model(esk10_2(X167,X168),X168)
| status(X167,X168,thm) )
& ( ~ status(X170,X171,thm)
| ~ model(X172,X170)
| model(X172,X171) ) ),
inference(distribute,[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)],[thm])])])])])]) ).
cnf(c_0_10,plain,
( isa(eth,X1)
| model(X2,esk46_2(eth,X1))
| ~ model(X2,esk45_2(eth,X1)) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_11,plain,
( model(esk10_2(X1,X2),X1)
| status(X1,X2,thm) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_12,plain,
( status(X1,X2,thm)
| ~ model(esk10_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_13,plain,
( isa(eth,X1)
| status(esk45_2(eth,X1),X2,thm)
| model(esk10_2(esk45_2(eth,X1),X2),esk46_2(eth,X1)) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
fof(c_0_14,negated_conjecture,
~ isa(eth,thm),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[isa_eth_thm])]) ).
cnf(c_0_15,plain,
( isa(X1,X2)
| ~ status(esk45_2(X1,X2),esk46_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_16,plain,
( isa(eth,X1)
| status(esk45_2(eth,X1),esk46_2(eth,X1),thm) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_17,negated_conjecture,
~ isa(eth,thm),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_18,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : KRS189+1 : TPTP v9.2.1. Bugfixed v5.4.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.16/0.33 % Computer : n002.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Mon May 4 20:40:01 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 17.55/10.96 % Version : CSE_E---1.7
% 17.55/10.96 % Problem : theBenchmark.p
% 17.55/10.96 % SZS status Theorem for theBenchmark.p
% 17.55/10.96 % SZS output start CNFRefutation
% See solution above
% 17.67/11.03 % Total time : 8.383s
%------------------------------------------------------------------------------