%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : KRS086+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 : n029.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 04:36:19 PM UTC 2026
% Result : Unsatisfiable 1.26s 1.72s
% Output : CNFRefutation 1.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 25 ( 5 unt; 0 def)
% Number of atoms : 77 ( 6 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 88 ( 36 ~; 29 |; 18 &)
% ( 3 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 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 : 44 ( 2 sgn 20 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_0,axiom,
! [X4] :
( cowlThing(X4)
& ~ cowlNothing(X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).
fof(axiom_3,axiom,
! [X4] :
( cowlThing(X4)
=> ! [X8,X9] :
( ( rf(X4,X8)
& rf(X4,X9) )
=> X8 = X9 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(axiom_2,axiom,
! [X4] :
( cUnsatisfiable(X4)
<=> ? [X5] :
( rf(X4,X5)
& ? [X6] :
( rinvF(X5,X6)
& ? [X7] :
( rf(X6,X7)
& ~ cp1(X7) ) )
& cp1(X5) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(axiom_4,axiom,
! [X4,X5] :
( rinvF(X4,X5)
<=> rf(X5,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
fof(axiom_7,axiom,
cUnsatisfiable(i2003_11_14_17_19_42328),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
fof(c_0_5,plain,
! [X4] :
( cowlThing(X4)
& ~ cowlNothing(X4) ),
inference(fof_simplification,[status(thm)],[axiom_0]) ).
fof(c_0_6,plain,
! [X108,X109,X110] :
( ~ cowlThing(X108)
| ~ rf(X108,X109)
| ~ rf(X108,X110)
| X109 = X110 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_3])])]) ).
fof(c_0_7,plain,
! [X98] :
( cowlThing(X98)
& ~ cowlNothing(X98) ),
inference(variable_rename,[status(thm)],[c_0_5]) ).
fof(c_0_8,plain,
! [X4] :
( cUnsatisfiable(X4)
<=> ? [X5] :
( rf(X4,X5)
& ? [X6] :
( rinvF(X5,X6)
& ? [X7] :
( rf(X6,X7)
& ~ cp1(X7) ) )
& cp1(X5) ) ),
inference(fof_simplification,[status(thm)],[axiom_2]) ).
cnf(c_0_9,plain,
( X2 = X3
| ~ cowlThing(X1)
| ~ rf(X1,X2)
| ~ rf(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,plain,
cowlThing(X1),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_11,plain,
! [X100,X104,X105,X106,X107] :
( ( rf(X100,esk1_1(X100))
| ~ cUnsatisfiable(X100) )
& ( rinvF(esk1_1(X100),esk2_1(X100))
| ~ cUnsatisfiable(X100) )
& ( rf(esk2_1(X100),esk3_1(X100))
| ~ cUnsatisfiable(X100) )
& ( ~ cp1(esk3_1(X100))
| ~ cUnsatisfiable(X100) )
& ( cp1(esk1_1(X100))
| ~ cUnsatisfiable(X100) )
& ( ~ rf(X104,X105)
| ~ rinvF(X105,X106)
| ~ rf(X106,X107)
| cp1(X107)
| ~ cp1(X105)
| cUnsatisfiable(X104) ) ),
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)],[c_0_8])])])])])]) ).
fof(c_0_12,plain,
! [X111,X112] :
( ( ~ rinvF(X111,X112)
| rf(X112,X111) )
& ( ~ rf(X112,X111)
| rinvF(X111,X112) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_4])]) ).
cnf(c_0_13,plain,
( X2 = X3
| ~ rf(X1,X3)
| ~ rf(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_9,c_0_10])]) ).
cnf(c_0_14,plain,
( rf(esk2_1(X1),esk3_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_15,plain,
( rf(X2,X1)
| ~ rinvF(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_16,plain,
( rinvF(esk1_1(X1),esk2_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_17,plain,
( X1 = esk3_1(X2)
| ~ rf(esk2_1(X2),X1)
| ~ cUnsatisfiable(X2) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_18,plain,
( rf(esk2_1(X1),esk1_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_19,plain,
( ~ cp1(esk3_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_20,plain,
( esk3_1(X1) = esk1_1(X1)
| ~ cUnsatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_21,plain,
( cp1(esk1_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_22,plain,
cUnsatisfiable(i2003_11_14_17_19_42328),
inference(split_conjunct,[status(thm)],[axiom_7]) ).
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 : KRS086+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 : n029.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 20:36:59 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 1.26/1.72 % Version : CSE_E---1.7
% 1.26/1.72 % Problem : theBenchmark.p
% 1.26/1.72 % SZS status Unsatisfiable for theBenchmark.p
% 1.26/1.72 % SZS output start CNFRefutation
% See solution above
% 1.26/1.72 % Total time : 1.372s
%------------------------------------------------------------------------------