%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : KRS121+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 : n010.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 04:36:23 PM UTC 2026
% Result : Unsatisfiable 1.26s 1.72s
% Output : CNFRefutation 1.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 37 ( 4 unt; 0 def)
% Number of atoms : 110 ( 0 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 126 ( 53 ~; 49 |; 16 &)
% ( 6 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-1 aty)
% Number of variables : 62 ( 2 sgn 31 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_10,axiom,
! [X4,X5,X7] :
( ( rr(X4,X5)
& rr(X5,X7) )
=> rr(X4,X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_10) ).
fof(axiom_6,axiom,
! [X4] :
( ca_Vx3(X4)
<=> ? [X5] :
( rr(X4,X5)
& ca_Ax2(X5) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
fof(axiom_9,axiom,
! [X4,X5] :
( rinvR(X4,X5)
<=> rr(X5,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_9) ).
fof(axiom_2,axiom,
! [X4] :
( cUnsatisfiable(X4)
<=> ( ? [X5] :
( rr(X4,X5)
& ca_Vx3(X5) )
& cp1(X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(axiom_3,axiom,
! [X4] :
( cp1(X4)
<=> ~ ? [X5] : ra_Px1(X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(axiom_4,axiom,
! [X4] :
( cp1xcomp(X4)
<=> ? [X6] : ra_Px1(X4,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
fof(axiom_5,axiom,
! [X4] :
( ca_Ax2(X4)
<=> ( cp1(X4)
& ! [X5] :
( rinvR(X4,X5)
=> cp1xcomp(X5) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
fof(axiom_11,axiom,
cUnsatisfiable(i2003_11_14_17_21_5199),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_11) ).
fof(c_0_8,plain,
! [X155,X156,X157] :
( ~ rr(X155,X156)
| ~ rr(X156,X157)
| rr(X155,X157) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_10])]) ).
fof(c_0_9,plain,
! [X144,X146,X147] :
( ( rr(X144,esk5_1(X144))
| ~ ca_Vx3(X144) )
& ( ca_Ax2(esk5_1(X144))
| ~ ca_Vx3(X144) )
& ( ~ rr(X146,X147)
| ~ ca_Ax2(X147)
| ca_Vx3(X146) ) ),
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_6])])])])])]) ).
fof(c_0_10,plain,
! [X153,X154] :
( ( ~ rinvR(X153,X154)
| rr(X154,X153) )
& ( ~ rr(X154,X153)
| rinvR(X153,X154) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_9])]) ).
cnf(c_0_11,plain,
( rr(X1,X3)
| ~ rr(X1,X2)
| ~ rr(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_12,plain,
( rr(X1,esk5_1(X1))
| ~ ca_Vx3(X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
fof(c_0_13,plain,
! [X128,X130,X131] :
( ( rr(X128,esk1_1(X128))
| ~ cUnsatisfiable(X128) )
& ( ca_Vx3(esk1_1(X128))
| ~ cUnsatisfiable(X128) )
& ( cp1(X128)
| ~ cUnsatisfiable(X128) )
& ( ~ rr(X130,X131)
| ~ ca_Vx3(X131)
| ~ cp1(X130)
| cUnsatisfiable(X130) ) ),
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_14,plain,
! [X132,X133,X134] :
( ( ~ cp1(X132)
| ~ ra_Px1(X132,X133) )
& ( ra_Px1(X134,esk2_1(X134))
| cp1(X134) ) ),
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_3])])])])]) ).
fof(c_0_15,plain,
! [X136,X138,X139] :
( ( ~ cp1xcomp(X136)
| ra_Px1(X136,esk3_1(X136)) )
& ( ~ ra_Px1(X138,X139)
| cp1xcomp(X138) ) ),
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_16,plain,
! [X140,X141,X142] :
( ( cp1(X140)
| ~ ca_Ax2(X140) )
& ( ~ rinvR(X140,X141)
| cp1xcomp(X141)
| ~ ca_Ax2(X140) )
& ( rinvR(X142,esk4_1(X142))
| ~ cp1(X142)
| ca_Ax2(X142) )
& ( ~ cp1xcomp(esk4_1(X142))
| ~ cp1(X142)
| ca_Ax2(X142) ) ),
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_5])])])])])]) ).
cnf(c_0_17,plain,
( rinvR(X2,X1)
| ~ rr(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_18,plain,
( rr(X1,esk5_1(X2))
| ~ rr(X1,X2)
| ~ ca_Vx3(X2) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_19,plain,
( rr(X1,esk1_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_20,plain,
( ca_Vx3(esk1_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_21,plain,
( ~ cp1(X1)
| ~ ra_Px1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_22,plain,
( ra_Px1(X1,esk3_1(X1))
| ~ cp1xcomp(X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_23,plain,
( cp1xcomp(X2)
| ~ rinvR(X1,X2)
| ~ ca_Ax2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_24,plain,
( rinvR(esk5_1(X1),X1)
| ~ ca_Vx3(X1) ),
inference(spm,[status(thm)],[c_0_17,c_0_12]) ).
cnf(c_0_25,plain,
( ca_Ax2(esk5_1(X1))
| ~ ca_Vx3(X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_26,plain,
( ca_Vx3(X1)
| ~ rr(X1,X2)
| ~ ca_Ax2(X2) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_27,plain,
( rr(X1,esk5_1(esk1_1(X1)))
| ~ cUnsatisfiable(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20]) ).
cnf(c_0_28,plain,
( ~ cp1xcomp(X1)
| ~ cp1(X1) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_29,plain,
( cp1xcomp(X1)
| ~ ca_Vx3(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25]) ).
cnf(c_0_30,plain,
( ca_Vx3(X1)
| ~ ca_Ax2(esk5_1(esk1_1(X1)))
| ~ cUnsatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_31,plain,
( ~ cp1(X1)
| ~ ca_Vx3(X1) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_32,plain,
( ca_Vx3(X1)
| ~ cUnsatisfiable(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_25]),c_0_20]) ).
cnf(c_0_33,plain,
( cp1(X1)
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_34,plain,
cUnsatisfiable(i2003_11_14_17_21_5199),
inference(split_conjunct,[status(thm)],[axiom_11]) ).
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
% 0.00/0.12 % Problem : KRS121+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
% 0.16/0.33 % Computer : n010.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Mon May 4 20:37:36 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % 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 : 1.371s
%------------------------------------------------------------------------------