%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : KRS076+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 : n024.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 1.12s 1.61s
% Output : CNFRefutation 1.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 7
% Syntax : Number of formulae : 37 ( 4 unt; 0 def)
% Number of atoms : 124 ( 13 equ)
% Maximal formula atoms : 27 ( 3 avg)
% Number of connectives : 147 ( 60 ~; 58 |; 20 &)
% ( 3 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-2 aty)
% Number of variables : 77 ( 1 sgn 34 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_4,axiom,
! [X4,X5,X6] :
( ( rf1(X4,X5)
& rf1(X4,X6) )
=> X5 = X6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
fof(axiom_10,axiom,
! [X4,X5] :
( rs(X4,X5)
=> rf1(X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_10) ).
fof(axiom_2,axiom,
! [X4] :
( cUnsatisfiable(X4)
<=> ( ? [X5] :
( rf(X4,X5)
& cp(X5) )
& ? [X5] :
( rf1(X4,X5)
& ~ cp(X5)
& ! [X6] :
( rinvF1(X5,X6)
=> ? [X7] :
( rs(X6,X7)
& cowlThing(X7) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(axiom_6,axiom,
! [X4,X5] :
( rinvF1(X4,X5)
<=> rf1(X5,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
fof(axiom_3,axiom,
! [X4,X5,X6] :
( ( rf(X4,X5)
& rf(X4,X6) )
=> X5 = X6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(axiom_11,axiom,
! [X4,X5] :
( rs(X4,X5)
=> rf(X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_11) ).
fof(axiom_9,axiom,
cUnsatisfiable(i2003_11_14_17_19_06193),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_9) ).
fof(c_0_7,plain,
! [X145,X146,X147] :
( ~ rf1(X145,X146)
| ~ rf1(X145,X147)
| X146 = X147 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_4])]) ).
fof(c_0_8,plain,
! [X157,X158] :
( ~ rs(X157,X158)
| rf1(X157,X158) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_10])]) ).
fof(c_0_9,plain,
! [X4] :
( cUnsatisfiable(X4)
<=> ( ? [X5] :
( rf(X4,X5)
& cp(X5) )
& ? [X5] :
( rf1(X4,X5)
& ~ cp(X5)
& ! [X6] :
( rinvF1(X5,X6)
=> ? [X7] :
( rs(X6,X7)
& cowlThing(X7) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[axiom_2]) ).
cnf(c_0_10,plain,
( X2 = X3
| ~ rf1(X1,X2)
| ~ rf1(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,plain,
( rf1(X1,X2)
| ~ rs(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
fof(c_0_12,plain,
! [X132,X135,X137,X138,X139,X141] :
( ( rf(X132,esk1_1(X132))
| ~ cUnsatisfiable(X132) )
& ( cp(esk1_1(X132))
| ~ cUnsatisfiable(X132) )
& ( rf1(X132,esk2_1(X132))
| ~ cUnsatisfiable(X132) )
& ( ~ cp(esk2_1(X132))
| ~ cUnsatisfiable(X132) )
& ( rs(X135,esk3_2(X132,X135))
| ~ rinvF1(esk2_1(X132),X135)
| ~ cUnsatisfiable(X132) )
& ( cowlThing(esk3_2(X132,X135))
| ~ rinvF1(esk2_1(X132),X135)
| ~ cUnsatisfiable(X132) )
& ( rinvF1(X139,esk4_2(X137,X139))
| ~ rf1(X137,X139)
| cp(X139)
| ~ rf(X137,X138)
| ~ cp(X138)
| cUnsatisfiable(X137) )
& ( ~ rs(esk4_2(X137,X139),X141)
| ~ cowlThing(X141)
| ~ rf1(X137,X139)
| cp(X139)
| ~ rf(X137,X138)
| ~ cp(X138)
| cUnsatisfiable(X137) ) ),
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_9])])])])])]) ).
cnf(c_0_13,plain,
( X1 = X2
| ~ rs(X3,X2)
| ~ rf1(X3,X1) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_14,plain,
( rs(X1,esk3_2(X2,X1))
| ~ rinvF1(esk2_1(X2),X1)
| ~ cUnsatisfiable(X2) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_15,plain,
! [X150,X151] :
( ( ~ rinvF1(X150,X151)
| rf1(X151,X150) )
& ( ~ rf1(X151,X150)
| rinvF1(X150,X151) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_6])]) ).
cnf(c_0_16,plain,
( X1 = esk3_2(X2,X3)
| ~ rinvF1(esk2_1(X2),X3)
| ~ rf1(X3,X1)
| ~ cUnsatisfiable(X2) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_17,plain,
( rinvF1(X2,X1)
| ~ rf1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_18,plain,
( X1 = esk3_2(X2,X3)
| ~ rf1(X3,esk2_1(X2))
| ~ rf1(X3,X1)
| ~ cUnsatisfiable(X2) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_19,plain,
( rf1(X1,esk2_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_20,plain,
( X1 = esk3_2(X2,X2)
| ~ rf1(X2,X1)
| ~ cUnsatisfiable(X2) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_21,plain,
( esk3_2(X1,X1) = esk2_1(X1)
| ~ cUnsatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_20,c_0_19]) ).
fof(c_0_22,plain,
! [X142,X143,X144] :
( ~ rf(X142,X143)
| ~ rf(X142,X144)
| X143 = X144 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_3])]) ).
fof(c_0_23,plain,
! [X159,X160] :
( ~ rs(X159,X160)
| rf(X159,X160) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_11])]) ).
cnf(c_0_24,plain,
( rs(X1,esk2_1(X1))
| ~ rinvF1(esk2_1(X1),X1)
| ~ cUnsatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_14,c_0_21]) ).
cnf(c_0_25,plain,
( X2 = X3
| ~ rf(X1,X2)
| ~ rf(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_26,plain,
( rf(X1,esk1_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_27,plain,
( rf(X1,X2)
| ~ rs(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_28,plain,
( rs(X1,esk2_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_17]),c_0_19]) ).
cnf(c_0_29,plain,
( X1 = esk1_1(X2)
| ~ rf(X2,X1)
| ~ cUnsatisfiable(X2) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_30,plain,
( rf(X1,esk2_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_31,plain,
( cp(esk1_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_32,plain,
( esk1_1(X1) = esk2_1(X1)
| ~ cUnsatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_33,plain,
( ~ cp(esk2_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_34,plain,
cUnsatisfiable(i2003_11_14_17_19_06193),
inference(split_conjunct,[status(thm)],[axiom_9]) ).
cnf(c_0_35,plain,
~ cUnsatisfiable(X1),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_33]) ).
cnf(c_0_36,plain,
$false,
inference(sr,[status(thm)],[c_0_34,c_0_35]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06 % Problem : KRS076+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
% 0.07/0.24 % Computer : n024.cluster.edu
% 0.07/0.24 % Model : x86_64 x86_64
% 0.07/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.24 % Memory : 8042.1875MB
% 0.07/0.24 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.24 % CPULimit : 300
% 0.07/0.24 % WCLimit : 300
% 0.07/0.24 % DateTime : Mon May 4 15:36:11 EDT 2026
% 0.07/0.24 % CPUTime :
% 0.07/0.25 % start to proof: theBenchmark
% 1.12/1.61 % Version : CSE_E---1.7
% 1.12/1.61 % Problem : theBenchmark.p
% 1.12/1.61 % SZS status Unsatisfiable for theBenchmark.p
% 1.12/1.61 % SZS output start CNFRefutation
% See solution above
% 1.12/1.61 % Total time : 1.363s
%------------------------------------------------------------------------------