TSTP Solution File: KRS118+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : KRS118+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n015.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 : Thu Aug 31 05:40:19 EDT 2023
% Result : Unsatisfiable 0.22s 0.60s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 31
% Syntax : Number of formulae : 70 ( 4 unt; 21 typ; 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 types : 2 ( 0 usr)
% Number of type conns : 25 ( 20 >; 5 *; 0 +; 0 <<)
% Number of predicates : 16 ( 14 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 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
cUnsatisfiable: $i > $o ).
tff(decl_23,type,
ca_Vx3: $i > $o ).
tff(decl_24,type,
cc: $i > $o ).
tff(decl_25,type,
ccxcomp: $i > $o ).
tff(decl_26,type,
cd: $i > $o ).
tff(decl_27,type,
cowlNothing: $i > $o ).
tff(decl_28,type,
cowlThing: $i > $o ).
tff(decl_29,type,
ra_Px1: ( $i * $i ) > $o ).
tff(decl_30,type,
rf: ( $i * $i ) > $o ).
tff(decl_31,type,
rinvF: ( $i * $i ) > $o ).
tff(decl_32,type,
rinvR: ( $i * $i ) > $o ).
tff(decl_33,type,
rr: ( $i * $i ) > $o ).
tff(decl_34,type,
xsd_integer: $i > $o ).
tff(decl_35,type,
xsd_string: $i > $o ).
tff(decl_36,type,
i2003_11_14_17_21_4056: $i ).
tff(decl_37,type,
esk1_1: $i > $i ).
tff(decl_38,type,
esk2_1: $i > $i ).
tff(decl_39,type,
esk3_1: $i > $i ).
tff(decl_40,type,
esk4_1: $i > $i ).
tff(decl_41,type,
esk5_1: $i > $i ).
tff(decl_42,type,
esk6_1: $i > $i ).
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,
! [X64,X65,X66] :
( ( ~ cc(X64)
| ~ ra_Px1(X64,X65) )
& ( ra_Px1(X66,esk3_1(X66))
| cc(X66) ) ),
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,
! [X68,X70,X71] :
( ( ~ ccxcomp(X68)
| ra_Px1(X68,esk4_1(X68)) )
& ( ~ ra_Px1(X70,X71)
| ccxcomp(X70) ) ),
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,
! [X83,X84] :
( ( ~ rinvF(X83,X84)
| rf(X84,X83) )
& ( ~ rf(X84,X83)
| rinvF(X83,X84) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_8])]) ).
fof(c_0_13,plain,
! [X76,X78,X79] :
( ( rinvF(X76,esk6_1(X76))
| ~ ca_Vx3(X76) )
& ( cd(esk6_1(X76))
| ~ ca_Vx3(X76) )
& ( ~ rinvF(X78,X79)
| ~ cd(X79)
| ca_Vx3(X78) ) ),
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,
! [X72,X74,X75] :
( ( rf(X72,esk5_1(X72))
| ~ cd(X72) )
& ( ccxcomp(esk5_1(X72))
| ~ cd(X72) )
& ( cc(X72)
| ~ cd(X72) )
& ( ~ rf(X74,X75)
| ~ ccxcomp(X75)
| ~ cc(X74)
| cd(X74) ) ),
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,
! [X80,X81,X82] :
( ~ rf(X80,X81)
| ~ rf(X80,X82)
| X81 = X82 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_7])]) ).
fof(c_0_18,plain,
! [X90,X91] :
( ~ rf(X90,X91)
| rr(X90,X91) ),
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,
! [X85,X86] :
( ( ~ rinvR(X85,X86)
| rr(X86,X85) )
& ( ~ rr(X86,X85)
| rinvR(X85,X86) ) ),
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,
! [X58,X59,X61,X63] :
( ( ~ rinvR(X58,X59)
| ca_Vx3(X59)
| ~ cUnsatisfiable(X58) )
& ( rinvF(X58,esk1_1(X58))
| ~ cUnsatisfiable(X58) )
& ( cd(esk1_1(X58))
| ~ cUnsatisfiable(X58) )
& ( ccxcomp(X58)
| ~ cUnsatisfiable(X58) )
& ( rinvR(X61,esk2_1(X61))
| ~ rinvF(X61,X63)
| ~ cd(X63)
| ~ ccxcomp(X61)
| cUnsatisfiable(X61) )
& ( ~ ca_Vx3(esk2_1(X61))
| ~ rinvF(X61,X63)
| ~ cd(X63)
| ~ ccxcomp(X61)
| cUnsatisfiable(X61) ) ),
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
% 0.00/0.14 % Problem : KRS118+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.14 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.15/0.36 % Computer : n015.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Mon Aug 28 01:27:24 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.22/0.59 start to proof: theBenchmark
% 0.22/0.60 % Version : CSE_E---1.5
% 0.22/0.60 % Problem : theBenchmark.p
% 0.22/0.60 % Proof found
% 0.22/0.60 % SZS status Theorem for theBenchmark.p
% 0.22/0.60 % SZS output start Proof
% See solution above
% 0.22/0.61 % Total time : 0.010000 s
% 0.22/0.61 % SZS output end Proof
% 0.22/0.61 % Total time : 0.013000 s
%------------------------------------------------------------------------------