%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : KRS115+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 04:36:22 PM UTC 2026
% Result : Unsatisfiable 1.27s 1.72s
% Output : CNFRefutation 1.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of formulae : 48 ( 5 unt; 0 def)
% Number of atoms : 133 ( 12 equ)
% Maximal formula atoms : 19 ( 2 avg)
% Number of connectives : 151 ( 66 ~; 57 |; 18 &)
% ( 3 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-1 aty)
% Number of variables : 83 ( 3 sgn 39 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_0,axiom,
! [X4] :
( cowlThing(X4)
& ~ cowlNothing(X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).
fof(axiom_6,axiom,
! [X4] :
( cowlThing(X4)
=> ! [X6,X7] :
( ( rf1(X4,X6)
& rf1(X4,X7) )
=> X6 = X7 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
fof(axiom_10,axiom,
! [X4,X5] :
( rr(X4,X5)
=> rf1(X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_10) ).
fof(axiom_2,axiom,
! [X4] :
( cUnsatisfiable(X4)
<=> ( ? [X5] :
( rf2(X4,X5)
& cp2(X5) )
& ? [X5] :
( rf1(X4,X5)
& cp1(X5) )
& ? [X5] :
( rr(X4,X5)
& cowlThing(X5) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(axiom_7,axiom,
! [X4] :
( cowlThing(X4)
=> ! [X6,X7] :
( ( rf2(X4,X6)
& rf2(X4,X7) )
=> X6 = X7 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
fof(axiom_4,axiom,
! [X4] :
( cp2(X4)
<=> ~ ? [X5] : ra_Px1(X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
fof(axiom_5,axiom,
! [X4] :
( cp2xcomp(X4)
<=> ? [X6] : ra_Px1(X4,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
fof(axiom_3,axiom,
! [X4] :
( cp1(X4)
=> cp2xcomp(X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(axiom_9,axiom,
! [X4,X5] :
( rr(X4,X5)
=> rf2(X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_9) ).
fof(axiom_8,axiom,
cUnsatisfiable(i2003_11_14_17_21_30578),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).
fof(c_0_10,plain,
! [X4] :
( cowlThing(X4)
& ~ cowlNothing(X4) ),
inference(fof_simplification,[status(thm)],[axiom_0]) ).
fof(c_0_11,plain,
! [X128,X129,X130] :
( ~ cowlThing(X128)
| ~ rf1(X128,X129)
| ~ rf1(X128,X130)
| X129 = X130 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_6])])]) ).
fof(c_0_12,plain,
! [X109] :
( cowlThing(X109)
& ~ cowlNothing(X109) ),
inference(variable_rename,[status(thm)],[c_0_10]) ).
fof(c_0_13,plain,
! [X136,X137] :
( ~ rr(X136,X137)
| rf1(X136,X137) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_10])]) ).
fof(c_0_14,plain,
! [X111,X115,X116,X117,X118] :
( ( rf2(X111,esk1_1(X111))
| ~ cUnsatisfiable(X111) )
& ( cp2(esk1_1(X111))
| ~ cUnsatisfiable(X111) )
& ( rf1(X111,esk2_1(X111))
| ~ cUnsatisfiable(X111) )
& ( cp1(esk2_1(X111))
| ~ cUnsatisfiable(X111) )
& ( rr(X111,esk3_1(X111))
| ~ cUnsatisfiable(X111) )
& ( cowlThing(esk3_1(X111))
| ~ cUnsatisfiable(X111) )
& ( ~ rf2(X115,X116)
| ~ cp2(X116)
| ~ rf1(X115,X117)
| ~ cp1(X117)
| ~ rr(X115,X118)
| ~ cowlThing(X118)
| cUnsatisfiable(X115) ) ),
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_15,plain,
! [X131,X132,X133] :
( ~ cowlThing(X131)
| ~ rf2(X131,X132)
| ~ rf2(X131,X133)
| X132 = X133 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_7])])]) ).
fof(c_0_16,plain,
! [X120,X121,X122] :
( ( ~ cp2(X120)
| ~ ra_Px1(X120,X121) )
& ( ra_Px1(X122,esk4_1(X122))
| cp2(X122) ) ),
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_17,plain,
! [X124,X126,X127] :
( ( ~ cp2xcomp(X124)
| ra_Px1(X124,esk5_1(X124)) )
& ( ~ ra_Px1(X126,X127)
| cp2xcomp(X126) ) ),
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_18,plain,
! [X119] :
( ~ cp1(X119)
| cp2xcomp(X119) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_3])]) ).
cnf(c_0_19,plain,
( X2 = X3
| ~ cowlThing(X1)
| ~ rf1(X1,X2)
| ~ rf1(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_20,plain,
cowlThing(X1),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_21,plain,
( rf1(X1,X2)
| ~ rr(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_22,plain,
( rr(X1,esk3_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_23,plain,
( X2 = X3
| ~ cowlThing(X1)
| ~ rf2(X1,X2)
| ~ rf2(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
fof(c_0_24,plain,
! [X134,X135] :
( ~ rr(X134,X135)
| rf2(X134,X135) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_9])]) ).
cnf(c_0_25,plain,
( ~ cp2(X1)
| ~ ra_Px1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_26,plain,
( ra_Px1(X1,esk5_1(X1))
| ~ cp2xcomp(X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_27,plain,
( cp2xcomp(X1)
| ~ cp1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_28,plain,
( cp1(esk2_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_29,plain,
( X2 = X3
| ~ rf1(X1,X3)
| ~ rf1(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_19,c_0_20])]) ).
cnf(c_0_30,plain,
( rf1(X1,esk3_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_31,plain,
( X2 = X3
| ~ rf2(X1,X3)
| ~ rf2(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_23,c_0_20])]) ).
cnf(c_0_32,plain,
( rf2(X1,esk1_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_33,plain,
( rf2(X1,X2)
| ~ rr(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_34,plain,
( ~ cp2xcomp(X1)
| ~ cp2(X1) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_35,plain,
( cp2xcomp(esk2_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_36,plain,
( X1 = esk3_1(X2)
| ~ rf1(X2,X1)
| ~ cUnsatisfiable(X2) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_37,plain,
( rf1(X1,esk2_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_38,plain,
( X1 = esk1_1(X2)
| ~ rf2(X2,X1)
| ~ cUnsatisfiable(X2) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_39,plain,
( rf2(X1,esk3_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_33,c_0_22]) ).
cnf(c_0_40,plain,
( ~ cp2(esk2_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_41,plain,
( esk2_1(X1) = esk3_1(X1)
| ~ cUnsatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_42,plain,
( cp2(esk1_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_43,plain,
( esk1_1(X1) = esk3_1(X1)
| ~ cUnsatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_44,plain,
( ~ cp2(esk3_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_45,plain,
cUnsatisfiable(i2003_11_14_17_21_30578),
inference(split_conjunct,[status(thm)],[axiom_8]) ).
cnf(c_0_46,plain,
~ cUnsatisfiable(X1),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_44]) ).
cnf(c_0_47,plain,
$false,
inference(sr,[status(thm)],[c_0_45,c_0_46]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : KRS115+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
% 0.14/0.33 % Computer : n029.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Mon May 4 20:38:14 EDT 2026
% 0.14/0.33 % CPUTime :
% 0.14/0.34 % start to proof: theBenchmark
% 1.27/1.72 % Version : CSE_E---1.7
% 1.27/1.72 % Problem : theBenchmark.p
% 1.27/1.72 % SZS status Unsatisfiable for theBenchmark.p
% 1.27/1.72 % SZS output start CNFRefutation
% See solution above
% 1.27/1.72 % Total time : 1.372s
%------------------------------------------------------------------------------