%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : KRS128+1 : TPTP v9.2.1. Released v3.1.0.
% 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 : n019.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 04:36:24 PM UTC 2026
% Result : Unsatisfiable 1.27s 1.72s
% Output : CNFRefutation 1.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 23 ( 4 unt; 0 def)
% Number of atoms : 88 ( 0 equ)
% Maximal formula atoms : 30 ( 3 avg)
% Number of connectives : 110 ( 45 ~; 44 |; 15 &)
% ( 4 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-1 aty)
% Number of variables : 36 ( 2 sgn 18 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_9,axiom,
! [X1] :
( ca_Cx4xcomp(X1)
<=> ~ ? [X2] : ra_Px4(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_9) ).
fof(axiom_8,axiom,
! [X1] :
( ca_Cx4(X1)
<=> ? [X3] : ra_Px4(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).
fof(axiom_2,axiom,
! [X1] :
( cUnsatisfiable(X1)
<=> ( ? [X2] :
( rr(X1,X2)
& cexcomp(X2) )
& ! [X2] :
( rr(X1,X2)
=> cd(X2) )
& ! [X2] :
( rr(X1,X2)
=> ca_Cx4(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(axiom_10,axiom,
! [X1] :
( ca_Cx4xcomp(X1)
<=> ( cd(X1)
& cexcomp(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_10) ).
fof(axiom_11,axiom,
cUnsatisfiable(i2003_11_14_17_22_31584),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_11) ).
fof(c_0_5,plain,
! [X55,X56,X57] :
( ( ~ ca_Cx4xcomp(X55)
| ~ ra_Px4(X55,X56) )
& ( ra_Px4(X57,esk9_1(X57))
| ca_Cx4xcomp(X57) ) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_9])])])])]) ).
fof(c_0_6,plain,
! [X51,X53,X54] :
( ( ~ ca_Cx4(X51)
| ra_Px4(X51,esk8_1(X51)) )
& ( ~ ra_Px4(X53,X54)
| ca_Cx4(X53) ) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_8])])])])]) ).
fof(c_0_7,plain,
! [X26,X28,X29,X30,X31] :
( ( rr(X26,esk1_1(X26))
| ~ cUnsatisfiable(X26) )
& ( cexcomp(esk1_1(X26))
| ~ cUnsatisfiable(X26) )
& ( ~ rr(X26,X28)
| cd(X28)
| ~ cUnsatisfiable(X26) )
& ( ~ rr(X26,X29)
| ca_Cx4(X29)
| ~ cUnsatisfiable(X26) )
& ( rr(X30,esk3_1(X30))
| rr(X30,esk2_1(X30))
| ~ rr(X30,X31)
| ~ cexcomp(X31)
| cUnsatisfiable(X30) )
& ( ~ ca_Cx4(esk3_1(X30))
| rr(X30,esk2_1(X30))
| ~ rr(X30,X31)
| ~ cexcomp(X31)
| cUnsatisfiable(X30) )
& ( rr(X30,esk3_1(X30))
| ~ cd(esk2_1(X30))
| ~ rr(X30,X31)
| ~ cexcomp(X31)
| cUnsatisfiable(X30) )
& ( ~ ca_Cx4(esk3_1(X30))
| ~ cd(esk2_1(X30))
| ~ rr(X30,X31)
| ~ cexcomp(X31)
| cUnsatisfiable(X30) ) ),
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)],[axiom_2])])])])])]) ).
cnf(c_0_8,plain,
( ~ ca_Cx4xcomp(X1)
| ~ ra_Px4(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,plain,
( ra_Px4(X1,esk8_1(X1))
| ~ ca_Cx4(X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,plain,
( ca_Cx4(X2)
| ~ rr(X1,X2)
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,plain,
( rr(X1,esk1_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_12,plain,
( ~ ca_Cx4xcomp(X1)
| ~ ca_Cx4(X1) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_13,plain,
( ca_Cx4(esk1_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
fof(c_0_14,plain,
! [X59] :
( ( cd(X59)
| ~ ca_Cx4xcomp(X59) )
& ( cexcomp(X59)
| ~ ca_Cx4xcomp(X59) )
& ( ~ cd(X59)
| ~ cexcomp(X59)
| ca_Cx4xcomp(X59) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_10])])]) ).
cnf(c_0_15,plain,
( cd(X2)
| ~ rr(X1,X2)
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_16,plain,
( ~ ca_Cx4xcomp(esk1_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_17,plain,
( ca_Cx4xcomp(X1)
| ~ cd(X1)
| ~ cexcomp(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_18,plain,
( cexcomp(esk1_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_19,plain,
( cd(esk1_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_15,c_0_11]) ).
cnf(c_0_20,plain,
cUnsatisfiable(i2003_11_14_17_22_31584),
inference(split_conjunct,[status(thm)],[axiom_11]) ).
cnf(c_0_21,plain,
~ cUnsatisfiable(X1),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18]),c_0_19]) ).
cnf(c_0_22,plain,
$false,
inference(sr,[status(thm)],[c_0_20,c_0_21]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : KRS128+1 : TPTP v9.2.1. Released v3.1.0.
% 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
% 0.15/0.33 % Computer : n019.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Mon May 4 20:37:44 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 1.27/1.72 % Version : CSE_E---1.7
% 1.27/1.72 % Problem : theBenchmark.p
% 1.27/1.72 % SZS status Unsatisfiable for theBenchmark.p
% 1.27/1.72 % SZS output start CNFRefutation
% See solution above
% 1.27/1.72 % Total time : 1.373s
%------------------------------------------------------------------------------