%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : KRS118+1 : TPTP v9.2.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n006.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 1.28s 1.72s
% Output : CNFRefutation 1.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of formulae : 49 ( 4 unt; 0 def)
% Number of atoms : 145 ( 5 equ)
% Maximal formula atoms : 19 ( 2 avg)
% Number of connectives : 168 ( 72 ~; 65 |; 21 &)
% ( 7 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 1 con; 0-1 aty)
% Number of variables : 82 ( 2 sgn 40 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_3,axiom,
! [X4] :
( cc(X4)
<=> ~ ? [X5] : ra_Px1(X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(axiom_4,axiom,
! [X4] :
( ccxcomp(X4)
<=> ? [X6] : ra_Px1(X4,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
fof(axiom_8,axiom,
! [X4,X5] :
( rinvF(X4,X5)
<=> rf(X5,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).
fof(axiom_6,axiom,
! [X4] :
( ca_Vx3(X4)
<=> ? [X5] :
( rinvF(X4,X5)
& cd(X5) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
fof(axiom_5,axiom,
! [X4] :
( cd(X4)
<=> ( ? [X5] :
( rf(X4,X5)
& ccxcomp(X5) )
& cc(X4) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
fof(axiom_7,axiom,
! [X4,X5,X7] :
( ( rf(X4,X5)
& rf(X4,X7) )
=> X5 = X7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
fof(axiom_12,axiom,
! [X4,X5] :
( rf(X4,X5)
=> rr(X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_12) ).
fof(axiom_9,axiom,
! [X4,X5] :
( rinvR(X4,X5)
<=> rr(X5,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_9) ).
fof(axiom_2,axiom,
! [X4] :
( cUnsatisfiable(X4)
<=> ( ! [X5] :
( rinvR(X4,X5)
=> ca_Vx3(X5) )
& ? [X5] :
( rinvF(X4,X5)
& cd(X5) )
& ccxcomp(X4) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(axiom_11,axiom,
cUnsatisfiable(i2003_11_14_17_21_4056),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_11) ).
fof(c_0_10,plain,
! [X137,X138,X139] :
( ( ~ cc(X137)
| ~ ra_Px1(X137,X138) )
& ( ra_Px1(X139,esk3_1(X139))
| cc(X139) ) ),
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_11,plain,
! [X141,X143,X144] :
( ( ~ ccxcomp(X141)
| ra_Px1(X141,esk4_1(X141)) )
& ( ~ ra_Px1(X143,X144)
| ccxcomp(X143) ) ),
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_12,plain,
! [X156,X157] :
( ( ~ rinvF(X156,X157)
| rf(X157,X156) )
& ( ~ rf(X157,X156)
| rinvF(X156,X157) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_8])]) ).
fof(c_0_13,plain,
! [X149,X151,X152] :
( ( rinvF(X149,esk6_1(X149))
| ~ ca_Vx3(X149) )
& ( cd(esk6_1(X149))
| ~ ca_Vx3(X149) )
& ( ~ rinvF(X151,X152)
| ~ cd(X152)
| ca_Vx3(X151) ) ),
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])])])])])]) ).
cnf(c_0_14,plain,
( ~ cc(X1)
| ~ ra_Px1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_15,plain,
( ra_Px1(X1,esk4_1(X1))
| ~ ccxcomp(X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_16,plain,
! [X145,X147,X148] :
( ( rf(X145,esk5_1(X145))
| ~ cd(X145) )
& ( ccxcomp(esk5_1(X145))
| ~ cd(X145) )
& ( cc(X145)
| ~ cd(X145) )
& ( ~ rf(X147,X148)
| ~ ccxcomp(X148)
| ~ cc(X147)
| cd(X147) ) ),
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])])])])])]) ).
fof(c_0_17,plain,
! [X153,X154,X155] :
( ~ rf(X153,X154)
| ~ rf(X153,X155)
| X154 = X155 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_7])]) ).
fof(c_0_18,plain,
! [X163,X164] :
( ~ rf(X163,X164)
| rr(X163,X164) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_12])]) ).
cnf(c_0_19,plain,
( rf(X2,X1)
| ~ rinvF(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_20,plain,
( rinvF(X1,esk6_1(X1))
| ~ ca_Vx3(X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_21,plain,
( ~ ccxcomp(X1)
| ~ cc(X1) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_22,plain,
( cc(X1)
| ~ cd(X1) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_23,plain,
( X2 = X3
| ~ rf(X1,X2)
| ~ rf(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_24,plain,
( rf(X1,esk5_1(X1))
| ~ cd(X1) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
fof(c_0_25,plain,
! [X158,X159] :
( ( ~ rinvR(X158,X159)
| rr(X159,X158) )
& ( ~ rr(X159,X158)
| rinvR(X158,X159) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_9])]) ).
cnf(c_0_26,plain,
( rr(X1,X2)
| ~ rf(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_27,plain,
( rf(esk6_1(X1),X1)
| ~ ca_Vx3(X1) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
fof(c_0_28,plain,
! [X131,X132,X134,X136] :
( ( ~ rinvR(X131,X132)
| ca_Vx3(X132)
| ~ cUnsatisfiable(X131) )
& ( rinvF(X131,esk1_1(X131))
| ~ cUnsatisfiable(X131) )
& ( cd(esk1_1(X131))
| ~ cUnsatisfiable(X131) )
& ( ccxcomp(X131)
| ~ cUnsatisfiable(X131) )
& ( rinvR(X134,esk2_1(X134))
| ~ rinvF(X134,X136)
| ~ cd(X136)
| ~ ccxcomp(X134)
| cUnsatisfiable(X134) )
& ( ~ ca_Vx3(esk2_1(X134))
| ~ rinvF(X134,X136)
| ~ cd(X136)
| ~ ccxcomp(X134)
| cUnsatisfiable(X134) ) ),
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])])])])])]) ).
cnf(c_0_29,plain,
( ~ cd(X1)
| ~ ccxcomp(X1) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_30,plain,
( ccxcomp(esk5_1(X1))
| ~ cd(X1) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_31,plain,
( X1 = esk5_1(X2)
| ~ rf(X2,X1)
| ~ cd(X2) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_32,plain,
( cd(esk6_1(X1))
| ~ ca_Vx3(X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_33,plain,
( rinvR(X2,X1)
| ~ rr(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_34,plain,
( rr(esk6_1(X1),X1)
| ~ ca_Vx3(X1) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_35,plain,
( ca_Vx3(X1)
| ~ rinvF(X1,X2)
| ~ cd(X2) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_36,plain,
( rinvF(X1,esk1_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_37,plain,
( cd(esk1_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_38,plain,
( ~ cd(esk5_1(X1))
| ~ cd(X1) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_39,plain,
( esk5_1(esk6_1(X1)) = X1
| ~ ca_Vx3(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_27]),c_0_32]) ).
cnf(c_0_40,plain,
( ca_Vx3(X2)
| ~ rinvR(X1,X2)
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_41,plain,
( rinvR(X1,esk6_1(X1))
| ~ ca_Vx3(X1) ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_42,plain,
( ca_Vx3(X1)
| ~ cUnsatisfiable(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_37]) ).
cnf(c_0_43,plain,
( ~ cd(X1)
| ~ ca_Vx3(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_32]) ).
cnf(c_0_44,plain,
( ca_Vx3(esk6_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_42]) ).
cnf(c_0_45,plain,
( ~ cd(esk6_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_46,plain,
cUnsatisfiable(i2003_11_14_17_21_4056),
inference(split_conjunct,[status(thm)],[axiom_11]) ).
cnf(c_0_47,plain,
~ cUnsatisfiable(X1),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_32]),c_0_42]) ).
cnf(c_0_48,plain,
$false,
inference(sr,[status(thm)],[c_0_46,c_0_47]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : KRS118+1 : TPTP v9.2.1. Released v3.1.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.33 % Computer : n006.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 20:38:01 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 1.28/1.72 % Version : CSE_E---1.7
% 1.28/1.72 % Problem : theBenchmark.p
% 1.28/1.72 % SZS status Unsatisfiable for theBenchmark.p
% 1.28/1.72 % SZS output start CNFRefutation
% See solution above
% 1.28/1.72 % Total time : 1.372s
%------------------------------------------------------------------------------