%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : KRS070+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 : n004.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 04:36:17 PM UTC 2026
% Result : Unsatisfiable 1.21s 1.71s
% Output : CNFRefutation 1.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 25 ( 4 unt; 0 def)
% Number of atoms : 86 ( 5 equ)
% Maximal formula atoms : 30 ( 3 avg)
% Number of connectives : 106 ( 45 ~; 43 |; 14 &)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 43 ( 1 sgn 20 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_9,axiom,
! [X4,X5] :
( rrx3(X4,X5)
=> rrx(X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_9) ).
fof(axiom_2,axiom,
! [X4] :
( cUnsatisfiable(X4)
<=> ( ? [X5] :
( rrx4(X4,X5)
& cc2(X5) )
& ~ ? [X5] :
( rrx3(X4,X5)
& cc2(X5)
& cc1(X5) )
& ? [X5] :
( rrx3(X4,X5)
& cc1(X5) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(axiom_3,axiom,
! [X4,X5,X6] :
( ( rrx(X4,X5)
& rrx(X4,X6) )
=> X5 = X6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(axiom_16,axiom,
! [X4,X5] :
( rrx4(X4,X5)
=> rrx(X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_16) ).
fof(axiom_8,axiom,
cUnsatisfiable(i2003_11_14_17_18_32242),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).
fof(c_0_5,plain,
! [X217,X218] :
( ~ rrx3(X217,X218)
| rrx(X217,X218) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_9])]) ).
fof(c_0_6,plain,
! [X194,X196,X198,X199,X201] :
( ( rrx4(X194,esk1_1(X194))
| ~ cUnsatisfiable(X194) )
& ( cc2(esk1_1(X194))
| ~ cUnsatisfiable(X194) )
& ( ~ rrx3(X194,X196)
| ~ cc2(X196)
| ~ cc1(X196)
| ~ cUnsatisfiable(X194) )
& ( rrx3(X194,esk2_1(X194))
| ~ cUnsatisfiable(X194) )
& ( cc1(esk2_1(X194))
| ~ cUnsatisfiable(X194) )
& ( rrx3(X198,esk3_1(X198))
| ~ rrx4(X198,X199)
| ~ cc2(X199)
| ~ rrx3(X198,X201)
| ~ cc1(X201)
| cUnsatisfiable(X198) )
& ( cc2(esk3_1(X198))
| ~ rrx4(X198,X199)
| ~ cc2(X199)
| ~ rrx3(X198,X201)
| ~ cc1(X201)
| cUnsatisfiable(X198) )
& ( cc1(esk3_1(X198))
| ~ rrx4(X198,X199)
| ~ cc2(X199)
| ~ rrx3(X198,X201)
| ~ cc1(X201)
| cUnsatisfiable(X198) ) ),
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])])])])])]) ).
fof(c_0_7,plain,
! [X202,X203,X204] :
( ~ rrx(X202,X203)
| ~ rrx(X202,X204)
| X203 = X204 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_3])]) ).
cnf(c_0_8,plain,
( rrx(X1,X2)
| ~ rrx3(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,plain,
( rrx3(X1,esk2_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_10,plain,
! [X231,X232] :
( ~ rrx4(X231,X232)
| rrx(X231,X232) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_16])]) ).
cnf(c_0_11,plain,
( X2 = X3
| ~ rrx(X1,X2)
| ~ rrx(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_12,plain,
( rrx(X1,esk2_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_13,plain,
( rrx(X1,X2)
| ~ rrx4(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_14,plain,
( rrx4(X1,esk1_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_15,plain,
( X1 = esk2_1(X2)
| ~ rrx(X2,X1)
| ~ cUnsatisfiable(X2) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_16,plain,
( rrx(X1,esk1_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_17,plain,
( ~ rrx3(X1,X2)
| ~ cc2(X2)
| ~ cc1(X2)
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_18,plain,
( cc1(esk2_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_19,plain,
( cc2(esk1_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_20,plain,
( esk1_1(X1) = esk2_1(X1)
| ~ cUnsatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_21,plain,
( ~ cc2(esk2_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_9]),c_0_18]) ).
cnf(c_0_22,plain,
cUnsatisfiable(i2003_11_14_17_18_32242),
inference(split_conjunct,[status(thm)],[axiom_8]) ).
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
% 0.00/0.12 % Problem : KRS070+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
% 0.14/0.32 % Computer : n004.cluster.edu
% 0.14/0.32 % Model : x86_64 x86_64
% 0.14/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.32 % Memory : 8042.1875MB
% 0.14/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.32 % CPULimit : 300
% 0.14/0.32 % WCLimit : 300
% 0.14/0.32 % DateTime : Mon May 4 20:36:17 EDT 2026
% 0.14/0.32 % CPUTime :
% 0.14/0.34 % start to proof: theBenchmark
% 1.21/1.71 % Version : CSE_E---1.7
% 1.21/1.71 % Problem : theBenchmark.p
% 1.21/1.71 % SZS status Unsatisfiable for theBenchmark.p
% 1.21/1.71 % SZS output start CNFRefutation
% See solution above
% 1.21/1.71 % Total time : 1.371s
%------------------------------------------------------------------------------