%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : KRS127+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 : n006.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 1.73s
% Output : CNFRefutation 1.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 25 ( 4 unt; 0 def)
% Number of atoms : 87 ( 6 equ)
% Maximal formula atoms : 30 ( 3 avg)
% Number of connectives : 109 ( 47 ~; 43 |; 14 &)
% ( 3 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 1 con; 0-1 aty)
% Number of variables : 41 ( 2 sgn 19 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_4,axiom,
! [X4] :
( cd(X4)
<=> ~ ? [X5] : ra_Px1(X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
fof(axiom_5,axiom,
! [X4] :
( cdxcomp(X4)
<=> ? [X6] : ra_Px1(X4,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
fof(axiom_2,axiom,
! [X4] :
( cUnsatisfiable(X4)
<=> ( ? [X5] :
( rr(X4,X5)
& cc(X5) )
& ? [X5] :
( rr(X4,X5)
& cd(X5) )
& ! [X6,X7] :
( ( rr(X4,X6)
& rr(X4,X7) )
=> X6 = X7 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(axiom_3,axiom,
! [X4] :
( cc(X4)
=> cdxcomp(X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(axiom_6,axiom,
cUnsatisfiable(i2003_11_14_17_22_27794),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
fof(c_0_5,plain,
! [X89,X90,X91] :
( ( ~ cd(X89)
| ~ ra_Px1(X89,X90) )
& ( ra_Px1(X91,esk5_1(X91))
| cd(X91) ) ),
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_4])])])])]) ).
fof(c_0_6,plain,
! [X93,X95,X96] :
( ( ~ cdxcomp(X93)
| ra_Px1(X93,esk6_1(X93)) )
& ( ~ ra_Px1(X95,X96)
| cdxcomp(X95) ) ),
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_5])])])])]) ).
fof(c_0_7,plain,
! [X78,X81,X82,X83,X84,X85] :
( ( rr(X78,esk1_1(X78))
| ~ cUnsatisfiable(X78) )
& ( cc(esk1_1(X78))
| ~ cUnsatisfiable(X78) )
& ( rr(X78,esk2_1(X78))
| ~ cUnsatisfiable(X78) )
& ( cd(esk2_1(X78))
| ~ cUnsatisfiable(X78) )
& ( ~ rr(X78,X81)
| ~ rr(X78,X82)
| X81 = X82
| ~ cUnsatisfiable(X78) )
& ( rr(X83,esk3_1(X83))
| ~ rr(X83,X84)
| ~ cc(X84)
| ~ rr(X83,X85)
| ~ cd(X85)
| cUnsatisfiable(X83) )
& ( rr(X83,esk4_1(X83))
| ~ rr(X83,X84)
| ~ cc(X84)
| ~ rr(X83,X85)
| ~ cd(X85)
| cUnsatisfiable(X83) )
& ( esk3_1(X83) != esk4_1(X83)
| ~ rr(X83,X84)
| ~ cc(X84)
| ~ rr(X83,X85)
| ~ cd(X85)
| cUnsatisfiable(X83) ) ),
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,
( ~ cd(X1)
| ~ ra_Px1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,plain,
( ra_Px1(X1,esk6_1(X1))
| ~ cdxcomp(X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_10,plain,
! [X88] :
( ~ cc(X88)
| cdxcomp(X88) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_3])]) ).
cnf(c_0_11,plain,
( X2 = X3
| ~ rr(X1,X2)
| ~ rr(X1,X3)
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_12,plain,
( rr(X1,esk2_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_13,plain,
( ~ cdxcomp(X1)
| ~ cd(X1) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_14,plain,
( cdxcomp(X1)
| ~ cc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_15,plain,
( X1 = esk2_1(X2)
| ~ rr(X2,X1)
| ~ cUnsatisfiable(X2) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_16,plain,
( rr(X1,esk1_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_17,plain,
( ~ cd(X1)
| ~ cc(X1) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_18,plain,
( cc(esk1_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_19,plain,
( cd(esk2_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_20,plain,
( esk2_1(X1) = esk1_1(X1)
| ~ cUnsatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_21,plain,
( ~ cd(esk1_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_22,plain,
cUnsatisfiable(i2003_11_14_17_22_27794),
inference(split_conjunct,[status(thm)],[axiom_6]) ).
cnf(c_0_23,plain,
~ cUnsatisfiable(X1),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21]) ).
cnf(c_0_24,plain,
$false,
inference(sr,[status(thm)],[c_0_22,c_0_23]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : KRS127+1 : TPTP v9.2.1. Released v3.1.0.
% 0.11/0.13 % 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
% 0.14/0.34 % Computer : n006.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon May 4 20:37:46 EDT 2026
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % start to proof: theBenchmark
% 1.25/1.73 % Version : CSE_E---1.7
% 1.25/1.73 % Problem : theBenchmark.p
% 1.25/1.73 % SZS status Unsatisfiable for theBenchmark.p
% 1.25/1.73 % SZS output start CNFRefutation
% See solution above
% 1.25/1.73 % Total time : 1.371s
%------------------------------------------------------------------------------