%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : KRS192+1 : TPTP v9.2.1. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n016.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 04:36:49 PM UTC 2026
% Result : Theorem 30.46s 18.89s
% Output : CNFRefutation 30.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 19 ( 4 unt; 0 def)
% Number of atoms : 80 ( 0 equ)
% Maximal formula atoms : 23 ( 4 avg)
% Number of connectives : 91 ( 30 ~; 35 |; 18 &)
% ( 4 <=>; 4 =>; 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 : 9 ( 9 usr; 2 con; 0-2 aty)
% Number of variables : 54 ( 0 sgn 32 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(wth,axiom,
! [X1,X2] :
( ( ? [X3] : model(X3,X1)
& ! [X4] :
( model(X4,X1)
=> model(X4,X2) )
& ? [X5] :
( model(X5,X2)
& ~ model(X5,X1) )
& ? [X6] : ~ model(X6,X2) )
<=> status(X1,X2,wth) ),
file('/export/starexec/sandbox/benchmark/Axioms/KRS001+0.ax',wth) ).
fof(isa,axiom,
! [X7,X8] :
( ! [X1,X2] :
( status(X1,X2,X7)
=> status(X1,X2,X8) )
<=> isa(X7,X8) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/KRS001+0.ax',thm) ).
fof(isa_wth_thm,conjecture,
isa(wth,thm),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',isa_wth_thm) ).
fof(c_0_4,plain,
! [X1,X2] :
( ( ? [X3] : model(X3,X1)
& ! [X4] :
( model(X4,X1)
=> model(X4,X2) )
& ? [X5] :
( model(X5,X2)
& ~ model(X5,X1) )
& ? [X6] : ~ model(X6,X2) )
<=> status(X1,X2,wth) ),
inference(fof_simplification,[status(thm)],[wth]) ).
fof(c_0_5,plain,
! [X229,X230,X231,X233,X234,X235,X236,X238] :
( ( model(esk26_2(X229,X230),X229)
| ~ model(X231,X229)
| ~ model(X233,X230)
| model(X233,X229)
| model(X234,X230)
| status(X229,X230,wth) )
& ( ~ model(esk26_2(X229,X230),X230)
| ~ model(X231,X229)
| ~ model(X233,X230)
| model(X233,X229)
| model(X234,X230)
| status(X229,X230,wth) )
& ( model(esk27_2(X235,X236),X235)
| ~ status(X235,X236,wth) )
& ( ~ model(X238,X235)
| model(X238,X236)
| ~ status(X235,X236,wth) )
& ( model(esk28_2(X235,X236),X236)
| ~ status(X235,X236,wth) )
& ( ~ model(esk28_2(X235,X236),X235)
| ~ status(X235,X236,wth) )
& ( ~ model(esk29_2(X235,X236),X236)
| ~ status(X235,X236,wth) ) ),
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,wth) ),
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(wth,X1)
| model(X2,esk46_2(wth,X1))
| ~ model(X2,esk45_2(wth,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(wth,X1)
| status(esk45_2(wth,X1),X2,thm)
| model(esk10_2(esk45_2(wth,X1),X2),esk46_2(wth,X1)) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
fof(c_0_14,negated_conjecture,
~ isa(wth,thm),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[isa_wth_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(wth,X1)
| status(esk45_2(wth,X1),esk46_2(wth,X1),thm) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_17,negated_conjecture,
~ isa(wth,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
% 0.00/0.09 % Problem : KRS192+1 : TPTP v9.2.1. Bugfixed v5.4.0.
% 0.00/0.09 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.11/0.29 % Computer : n016.cluster.edu
% 0.11/0.29 % Model : x86_64 x86_64
% 0.11/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.29 % Memory : 8042.1875MB
% 0.11/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.29 % CPULimit : 300
% 0.11/0.29 % WCLimit : 300
% 0.11/0.29 % DateTime : Mon May 4 20:40:06 EDT 2026
% 0.11/0.29 % CPUTime :
% 0.11/0.30 % start to proof: theBenchmark
% 30.46/18.89 % Version : CSE_E---1.7
% 30.46/18.89 % Problem : theBenchmark.p
% 30.46/18.89 % SZS status Theorem for theBenchmark.p
% 30.46/18.89 % SZS output start CNFRefutation
% See solution above
% 30.68/19.04 % Total time : 13.387s
%------------------------------------------------------------------------------