%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : KRS124+1 : TPTP v9.2.1. Released v3.1.0.
% 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 04:36:24 PM UTC 2026
% Result : Unsatisfiable 1.25s 1.71s
% Output : CNFRefutation 1.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 24 ( 5 unt; 0 def)
% Number of atoms : 70 ( 0 equ)
% Maximal formula atoms : 15 ( 2 avg)
% Number of connectives : 80 ( 34 ~; 29 |; 11 &)
% ( 4 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-1 aty)
% Number of variables : 34 ( 3 sgn 18 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_6,axiom,
! [X1] :
( cd(X1)
<=> ~ ? [X2] : ra_Px1(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
fof(axiom_7,axiom,
! [X1] :
( cdxcomp(X1)
<=> ? [X3] : ra_Px1(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
fof(axiom_3,axiom,
! [X1] :
( cc(X1)
=> cdxcomp(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(axiom_12,axiom,
! [X1] :
( ca_Ax3(X1)
<=> ( cd(X1)
& cc(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_12) ).
fof(axiom_2,axiom,
! [X1] :
( cUnsatisfiable(X1)
<=> ( ? [X2] :
( rr(X1,X2)
& cowlThing(X2) )
& ! [X2] :
( rr(X1,X2)
=> ca_Ax3(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(axiom_13,axiom,
cUnsatisfiable(i2003_11_14_17_22_10903),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_13) ).
fof(c_0_6,plain,
! [X34,X35,X36] :
( ( ~ cd(X34)
| ~ ra_Px1(X34,X35) )
& ( ra_Px1(X36,esk3_1(X36))
| cd(X36) ) ),
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_6])])])])]) ).
fof(c_0_7,plain,
! [X38,X40,X41] :
( ( ~ cdxcomp(X38)
| ra_Px1(X38,esk4_1(X38)) )
& ( ~ ra_Px1(X40,X41)
| cdxcomp(X40) ) ),
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_7])])])])]) ).
cnf(c_0_8,plain,
( ~ cd(X1)
| ~ ra_Px1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_9,plain,
( ra_Px1(X1,esk4_1(X1))
| ~ cdxcomp(X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_10,plain,
! [X31] :
( ~ cc(X31)
| cdxcomp(X31) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_3])]) ).
cnf(c_0_11,plain,
( ~ cd(X1)
| ~ cdxcomp(X1) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_12,plain,
( cdxcomp(X1)
| ~ cc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
fof(c_0_13,plain,
! [X52] :
( ( cd(X52)
| ~ ca_Ax3(X52) )
& ( cc(X52)
| ~ ca_Ax3(X52) )
& ( ~ cd(X52)
| ~ cc(X52)
| ca_Ax3(X52) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_12])])]) ).
fof(c_0_14,plain,
! [X25,X27,X28,X29] :
( ( rr(X25,esk1_1(X25))
| ~ cUnsatisfiable(X25) )
& ( cowlThing(esk1_1(X25))
| ~ cUnsatisfiable(X25) )
& ( ~ rr(X25,X27)
| ca_Ax3(X27)
| ~ cUnsatisfiable(X25) )
& ( rr(X28,esk2_1(X28))
| ~ rr(X28,X29)
| ~ cowlThing(X29)
| cUnsatisfiable(X28) )
& ( ~ ca_Ax3(esk2_1(X28))
| ~ rr(X28,X29)
| ~ cowlThing(X29)
| cUnsatisfiable(X28) ) ),
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_15,plain,
( ~ cd(X1)
| ~ cc(X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_16,plain,
( cc(X1)
| ~ ca_Ax3(X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_17,plain,
( cd(X1)
| ~ ca_Ax3(X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_18,plain,
( ca_Ax3(X2)
| ~ rr(X1,X2)
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_19,plain,
( rr(X1,esk1_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_20,plain,
~ ca_Ax3(X1),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17]) ).
cnf(c_0_21,plain,
cUnsatisfiable(i2003_11_14_17_22_10903),
inference(split_conjunct,[status(thm)],[axiom_13]) ).
cnf(c_0_22,plain,
~ cUnsatisfiable(X1),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20]) ).
cnf(c_0_23,plain,
$false,
inference(sr,[status(thm)],[c_0_21,c_0_22]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : KRS124+1 : TPTP v9.2.1. Released v3.1.0.
% 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
% 0.15/0.33 % Computer : n007.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 20:37:09 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 1.25/1.71 % Version : CSE_E---1.7
% 1.25/1.71 % Problem : theBenchmark.p
% 1.25/1.71 % SZS status Unsatisfiable for theBenchmark.p
% 1.25/1.71 % SZS output start CNFRefutation
% See solution above
% 1.25/1.71 % Total time : 1.368s
%------------------------------------------------------------------------------