%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : KRS099+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 : n012.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 04:36:20 PM UTC 2026
% Result : Unsatisfiable 1.10s 1.61s
% Output : CNFRefutation 1.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 2
% Syntax : Number of formulae : 13 ( 6 unt; 0 def)
% Number of atoms : 236 ( 80 equ)
% Maximal formula atoms : 203 ( 18 avg)
% Number of connectives : 326 ( 103 ~; 183 |; 36 &)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 46 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 1 con; 0-1 aty)
% Number of variables : 26 ( 0 sgn 16 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_2,axiom,
! [X4] :
( cUnsatisfiable(X4)
<=> ( ? [X5,X6,X7] :
( rtt(X4,X5)
& rtt(X4,X6)
& rtt(X4,X7)
& X5 != X6
& X5 != X7
& X6 != X7 )
& ! [X8] :
( rtt(X4,X8)
=> ca(X8) )
& ! [X5,X6] :
( ( rtt(X4,X5)
& rtt(X4,X6) )
=> X5 = X6 )
& ! [X5,X6] :
( ( rtt(X4,X5)
& rtt(X4,X6) )
=> X5 = X6 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(axiom_5,axiom,
cUnsatisfiable(i2003_11_14_17_20_29215),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
fof(c_0_2,plain,
! [X68,X72,X73,X74,X75,X76,X77,X78,X79,X80] :
( ( rtt(X68,esk1_1(X68))
| ~ cUnsatisfiable(X68) )
& ( rtt(X68,esk2_1(X68))
| ~ cUnsatisfiable(X68) )
& ( rtt(X68,esk3_1(X68))
| ~ cUnsatisfiable(X68) )
& ( esk1_1(X68) != esk2_1(X68)
| ~ cUnsatisfiable(X68) )
& ( esk1_1(X68) != esk3_1(X68)
| ~ cUnsatisfiable(X68) )
& ( esk2_1(X68) != esk3_1(X68)
| ~ cUnsatisfiable(X68) )
& ( ~ rtt(X68,X72)
| ca(X72)
| ~ cUnsatisfiable(X68) )
& ( ~ rtt(X68,X73)
| ~ rtt(X68,X74)
| X73 = X74
| ~ cUnsatisfiable(X68) )
& ( ~ rtt(X68,X75)
| ~ rtt(X68,X76)
| X75 = X76
| ~ cUnsatisfiable(X68) )
& ( rtt(X77,esk7_1(X77))
| rtt(X77,esk5_1(X77))
| rtt(X77,esk4_1(X77))
| ~ rtt(X77,X78)
| ~ rtt(X77,X79)
| ~ rtt(X77,X80)
| X78 = X79
| X78 = X80
| X79 = X80
| cUnsatisfiable(X77) )
& ( rtt(X77,esk8_1(X77))
| rtt(X77,esk5_1(X77))
| rtt(X77,esk4_1(X77))
| ~ rtt(X77,X78)
| ~ rtt(X77,X79)
| ~ rtt(X77,X80)
| X78 = X79
| X78 = X80
| X79 = X80
| cUnsatisfiable(X77) )
& ( esk7_1(X77) != esk8_1(X77)
| rtt(X77,esk5_1(X77))
| rtt(X77,esk4_1(X77))
| ~ rtt(X77,X78)
| ~ rtt(X77,X79)
| ~ rtt(X77,X80)
| X78 = X79
| X78 = X80
| X79 = X80
| cUnsatisfiable(X77) )
& ( rtt(X77,esk7_1(X77))
| rtt(X77,esk6_1(X77))
| rtt(X77,esk4_1(X77))
| ~ rtt(X77,X78)
| ~ rtt(X77,X79)
| ~ rtt(X77,X80)
| X78 = X79
| X78 = X80
| X79 = X80
| cUnsatisfiable(X77) )
& ( rtt(X77,esk8_1(X77))
| rtt(X77,esk6_1(X77))
| rtt(X77,esk4_1(X77))
| ~ rtt(X77,X78)
| ~ rtt(X77,X79)
| ~ rtt(X77,X80)
| X78 = X79
| X78 = X80
| X79 = X80
| cUnsatisfiable(X77) )
& ( esk7_1(X77) != esk8_1(X77)
| rtt(X77,esk6_1(X77))
| rtt(X77,esk4_1(X77))
| ~ rtt(X77,X78)
| ~ rtt(X77,X79)
| ~ rtt(X77,X80)
| X78 = X79
| X78 = X80
| X79 = X80
| cUnsatisfiable(X77) )
& ( rtt(X77,esk7_1(X77))
| esk5_1(X77) != esk6_1(X77)
| rtt(X77,esk4_1(X77))
| ~ rtt(X77,X78)
| ~ rtt(X77,X79)
| ~ rtt(X77,X80)
| X78 = X79
| X78 = X80
| X79 = X80
| cUnsatisfiable(X77) )
& ( rtt(X77,esk8_1(X77))
| esk5_1(X77) != esk6_1(X77)
| rtt(X77,esk4_1(X77))
| ~ rtt(X77,X78)
| ~ rtt(X77,X79)
| ~ rtt(X77,X80)
| X78 = X79
| X78 = X80
| X79 = X80
| cUnsatisfiable(X77) )
& ( esk7_1(X77) != esk8_1(X77)
| esk5_1(X77) != esk6_1(X77)
| rtt(X77,esk4_1(X77))
| ~ rtt(X77,X78)
| ~ rtt(X77,X79)
| ~ rtt(X77,X80)
| X78 = X79
| X78 = X80
| X79 = X80
| cUnsatisfiable(X77) )
& ( rtt(X77,esk7_1(X77))
| rtt(X77,esk5_1(X77))
| ~ ca(esk4_1(X77))
| ~ rtt(X77,X78)
| ~ rtt(X77,X79)
| ~ rtt(X77,X80)
| X78 = X79
| X78 = X80
| X79 = X80
| cUnsatisfiable(X77) )
& ( rtt(X77,esk8_1(X77))
| rtt(X77,esk5_1(X77))
| ~ ca(esk4_1(X77))
| ~ rtt(X77,X78)
| ~ rtt(X77,X79)
| ~ rtt(X77,X80)
| X78 = X79
| X78 = X80
| X79 = X80
| cUnsatisfiable(X77) )
& ( esk7_1(X77) != esk8_1(X77)
| rtt(X77,esk5_1(X77))
| ~ ca(esk4_1(X77))
| ~ rtt(X77,X78)
| ~ rtt(X77,X79)
| ~ rtt(X77,X80)
| X78 = X79
| X78 = X80
| X79 = X80
| cUnsatisfiable(X77) )
& ( rtt(X77,esk7_1(X77))
| rtt(X77,esk6_1(X77))
| ~ ca(esk4_1(X77))
| ~ rtt(X77,X78)
| ~ rtt(X77,X79)
| ~ rtt(X77,X80)
| X78 = X79
| X78 = X80
| X79 = X80
| cUnsatisfiable(X77) )
& ( rtt(X77,esk8_1(X77))
| rtt(X77,esk6_1(X77))
| ~ ca(esk4_1(X77))
| ~ rtt(X77,X78)
| ~ rtt(X77,X79)
| ~ rtt(X77,X80)
| X78 = X79
| X78 = X80
| X79 = X80
| cUnsatisfiable(X77) )
& ( esk7_1(X77) != esk8_1(X77)
| rtt(X77,esk6_1(X77))
| ~ ca(esk4_1(X77))
| ~ rtt(X77,X78)
| ~ rtt(X77,X79)
| ~ rtt(X77,X80)
| X78 = X79
| X78 = X80
| X79 = X80
| cUnsatisfiable(X77) )
& ( rtt(X77,esk7_1(X77))
| esk5_1(X77) != esk6_1(X77)
| ~ ca(esk4_1(X77))
| ~ rtt(X77,X78)
| ~ rtt(X77,X79)
| ~ rtt(X77,X80)
| X78 = X79
| X78 = X80
| X79 = X80
| cUnsatisfiable(X77) )
& ( rtt(X77,esk8_1(X77))
| esk5_1(X77) != esk6_1(X77)
| ~ ca(esk4_1(X77))
| ~ rtt(X77,X78)
| ~ rtt(X77,X79)
| ~ rtt(X77,X80)
| X78 = X79
| X78 = X80
| X79 = X80
| cUnsatisfiable(X77) )
& ( esk7_1(X77) != esk8_1(X77)
| esk5_1(X77) != esk6_1(X77)
| ~ ca(esk4_1(X77))
| ~ rtt(X77,X78)
| ~ rtt(X77,X79)
| ~ rtt(X77,X80)
| X78 = X79
| X78 = X80
| X79 = X80
| cUnsatisfiable(X77) ) ),
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_3,plain,
( rtt(X1,esk1_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4,plain,
cUnsatisfiable(i2003_11_14_17_20_29215),
inference(split_conjunct,[status(thm)],[axiom_5]) ).
cnf(c_0_5,plain,
( X2 = X3
| ~ rtt(X1,X2)
| ~ rtt(X1,X3)
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_6,plain,
rtt(i2003_11_14_17_20_29215,esk1_1(i2003_11_14_17_20_29215)),
inference(spm,[status(thm)],[c_0_3,c_0_4]) ).
cnf(c_0_7,plain,
( rtt(X1,esk2_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_8,plain,
( X1 = esk1_1(i2003_11_14_17_20_29215)
| ~ rtt(i2003_11_14_17_20_29215,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_6]),c_0_4])]) ).
cnf(c_0_9,plain,
rtt(i2003_11_14_17_20_29215,esk2_1(i2003_11_14_17_20_29215)),
inference(spm,[status(thm)],[c_0_7,c_0_4]) ).
cnf(c_0_10,plain,
( esk1_1(X1) != esk2_1(X1)
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_11,plain,
esk2_1(i2003_11_14_17_20_29215) = esk1_1(i2003_11_14_17_20_29215),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_12,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_4])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06 % Problem : KRS099+1 : TPTP v9.2.1. Released v3.1.0.
% 0.00/0.06 % 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
% 0.06/0.24 % Computer : n012.cluster.edu
% 0.06/0.24 % Model : x86_64 x86_64
% 0.06/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.24 % Memory : 8042.1875MB
% 0.06/0.24 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.24 % CPULimit : 300
% 0.06/0.24 % WCLimit : 300
% 0.06/0.24 % DateTime : Mon May 4 20:37:01 EDT 2026
% 0.06/0.24 % CPUTime :
% 0.06/0.24 % start to proof: theBenchmark
% 1.10/1.61 % Version : CSE_E---1.7
% 1.10/1.61 % Problem : theBenchmark.p
% 1.10/1.61 % SZS status Unsatisfiable for theBenchmark.p
% 1.10/1.61 % SZS output start CNFRefutation
% See solution above
% 1.10/1.61 % Total time : 1.361s
%------------------------------------------------------------------------------