%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : KRS186+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 : n007.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 15.81s 9.83s
% Output : CNFRefutation 15.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 18 ( 4 unt; 0 def)
% Number of atoms : 63 ( 0 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 67 ( 22 ~; 30 |; 9 &)
% ( 4 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-2 aty)
% Number of variables : 45 ( 0 sgn 28 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(eqv,axiom,
! [X1,X2] :
( ( ? [X3] : model(X3,X1)
& ! [X4] :
( model(X4,X1)
<=> model(X4,X2) ) )
<=> status(X1,X2,eqv) ),
file('/export/starexec/sandbox/benchmark/Axioms/KRS001+0.ax',eqv) ).
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_eqv_thm,conjecture,
isa(eqv,thm),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',isa_eqv_thm) ).
fof(c_0_4,plain,
! [X173,X174,X175,X177,X178,X180,X181] :
( ( ~ model(esk11_2(X173,X174),X173)
| ~ model(esk11_2(X173,X174),X174)
| ~ model(X175,X173)
| status(X173,X174,eqv) )
& ( model(esk11_2(X173,X174),X173)
| model(esk11_2(X173,X174),X174)
| ~ model(X175,X173)
| status(X173,X174,eqv) )
& ( model(esk12_2(X177,X178),X177)
| ~ status(X177,X178,eqv) )
& ( ~ model(X180,X177)
| model(X180,X178)
| ~ status(X177,X178,eqv) )
& ( ~ model(X181,X178)
| model(X181,X177)
| ~ status(X177,X178,eqv) ) ),
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)],[eqv])])])])])]) ).
fof(c_0_5,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_6,plain,
( model(X1,X3)
| ~ model(X1,X2)
| ~ status(X2,X3,eqv) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,plain,
( status(esk45_2(X1,X2),esk46_2(X1,X2),X1)
| isa(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
fof(c_0_8,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_9,plain,
( isa(eqv,X1)
| model(X2,esk46_2(eqv,X1))
| ~ model(X2,esk45_2(eqv,X1)) ),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_10,plain,
( model(esk10_2(X1,X2),X1)
| status(X1,X2,thm) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_11,plain,
( status(X1,X2,thm)
| ~ model(esk10_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_12,plain,
( isa(eqv,X1)
| status(esk45_2(eqv,X1),X2,thm)
| model(esk10_2(esk45_2(eqv,X1),X2),esk46_2(eqv,X1)) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
fof(c_0_13,negated_conjecture,
~ isa(eqv,thm),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[isa_eqv_thm])]) ).
cnf(c_0_14,plain,
( isa(X1,X2)
| ~ status(esk45_2(X1,X2),esk46_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_15,plain,
( isa(eqv,X1)
| status(esk45_2(eqv,X1),esk46_2(eqv,X1),thm) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_16,negated_conjecture,
~ isa(eqv,thm),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_17,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : KRS186+1 : TPTP v9.2.1. Bugfixed v5.4.0.
% 0.00/0.12 % 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
% 0.15/0.32 % Computer : n007.cluster.edu
% 0.15/0.32 % Model : x86_64 x86_64
% 0.15/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.32 % Memory : 8042.1875MB
% 0.15/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.32 % CPULimit : 300
% 0.15/0.32 % WCLimit : 300
% 0.15/0.32 % DateTime : Mon May 4 20:39:08 EDT 2026
% 0.15/0.32 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 15.81/9.83 % Version : CSE_E---1.7
% 15.81/9.83 % Problem : theBenchmark.p
% 15.81/9.83 % SZS status Theorem for theBenchmark.p
% 15.81/9.83 % SZS output start CNFRefutation
% See solution above
% 15.81/9.89 % Total time : 7.389s
%------------------------------------------------------------------------------