TSTP Solution File: KRS109+1 by CSE_E---1.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : KRS109+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n021.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 05:40:17 EDT 2023
% Result : Unsatisfiable 0.19s 0.65s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 33
% Syntax : Number of formulae : 69 ( 13 unt; 23 typ; 0 def)
% Number of atoms : 127 ( 5 equ)
% Maximal formula atoms : 18 ( 2 avg)
% Number of connectives : 133 ( 52 ~; 51 |; 19 &)
% ( 7 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 29 ( 22 >; 7 *; 0 +; 0 <<)
% Number of predicates : 18 ( 16 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 1 con; 0-1 aty)
% Number of variables : 68 ( 1 sgn; 41 !; 4 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
cUnsatisfiable: $i > $o ).
tff(decl_23,type,
ca_Ax2: $i > $o ).
tff(decl_24,type,
ca_Vx3: $i > $o ).
tff(decl_25,type,
cowlNothing: $i > $o ).
tff(decl_26,type,
cowlThing: $i > $o ).
tff(decl_27,type,
cp: $i > $o ).
tff(decl_28,type,
cpxcomp: $i > $o ).
tff(decl_29,type,
ra_Px1: ( $i * $i ) > $o ).
tff(decl_30,type,
rf: ( $i * $i ) > $o ).
tff(decl_31,type,
rf1: ( $i * $i ) > $o ).
tff(decl_32,type,
rinvF: ( $i * $i ) > $o ).
tff(decl_33,type,
rinvF1: ( $i * $i ) > $o ).
tff(decl_34,type,
rinvS: ( $i * $i ) > $o ).
tff(decl_35,type,
rs: ( $i * $i ) > $o ).
tff(decl_36,type,
xsd_integer: $i > $o ).
tff(decl_37,type,
xsd_string: $i > $o ).
tff(decl_38,type,
i2003_11_14_17_21_08508: $i ).
tff(decl_39,type,
esk1_1: $i > $i ).
tff(decl_40,type,
esk2_1: $i > $i ).
tff(decl_41,type,
esk3_1: $i > $i ).
tff(decl_42,type,
esk4_1: $i > $i ).
tff(decl_43,type,
esk5_1: $i > $i ).
tff(decl_44,type,
esk6_1: $i > $i ).
fof(axiom_2,axiom,
! [X4] :
( cUnsatisfiable(X4)
<=> ( cpxcomp(X4)
& ? [X5] :
( rf(X4,X5)
& ca_Ax2(X5) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(axiom_9,axiom,
! [X4,X5] :
( rinvF(X4,X5)
<=> rf(X5,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_9) ).
fof(axiom_13,axiom,
cUnsatisfiable(i2003_11_14_17_21_08508),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_13) ).
fof(axiom_5,axiom,
! [X4] :
( ca_Ax2(X4)
<=> ( ! [X5] :
( rinvS(X4,X5)
=> cp(X5) )
& ! [X5] :
( rinvF(X4,X5)
=> ca_Vx3(X5) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
fof(axiom_6,axiom,
! [X4] :
( ca_Vx3(X4)
<=> ? [X5] :
( rs(X4,X5)
& cp(X5) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
fof(axiom_7,axiom,
! [X4,X5,X7] :
( ( rf(X4,X5)
& rf(X4,X7) )
=> X5 = X7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
fof(axiom_14,axiom,
! [X4,X5] :
( rs(X4,X5)
=> rf(X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_14) ).
fof(axiom_3,axiom,
! [X4] :
( cp(X4)
<=> ~ ? [X5] : ra_Px1(X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(axiom_4,axiom,
! [X4] :
( cpxcomp(X4)
<=> ? [X6] : ra_Px1(X4,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
fof(axiom_11,axiom,
! [X4,X5] :
( rinvS(X4,X5)
<=> rs(X5,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_11) ).
fof(c_0_10,plain,
! [X70,X72,X73] :
( ( cpxcomp(X70)
| ~ cUnsatisfiable(X70) )
& ( rf(X70,esk1_1(X70))
| ~ cUnsatisfiable(X70) )
& ( ca_Ax2(esk1_1(X70))
| ~ cUnsatisfiable(X70) )
& ( ~ cpxcomp(X72)
| ~ rf(X72,X73)
| ~ ca_Ax2(X73)
| cUnsatisfiable(X72) ) ),
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_11,plain,
! [X98,X99] :
( ( ~ rinvF(X98,X99)
| rf(X99,X98) )
& ( ~ rf(X99,X98)
| rinvF(X98,X99) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_9])]) ).
cnf(c_0_12,plain,
( rf(X1,esk1_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_13,plain,
cUnsatisfiable(i2003_11_14_17_21_08508),
inference(split_conjunct,[status(thm)],[axiom_13]) ).
fof(c_0_14,plain,
! [X82,X83,X84,X85] :
( ( ~ rinvS(X82,X83)
| cp(X83)
| ~ ca_Ax2(X82) )
& ( ~ rinvF(X82,X84)
| ca_Vx3(X84)
| ~ ca_Ax2(X82) )
& ( rinvF(X85,esk5_1(X85))
| rinvS(X85,esk4_1(X85))
| ca_Ax2(X85) )
& ( ~ ca_Vx3(esk5_1(X85))
| rinvS(X85,esk4_1(X85))
| ca_Ax2(X85) )
& ( rinvF(X85,esk5_1(X85))
| ~ cp(esk4_1(X85))
| ca_Ax2(X85) )
& ( ~ ca_Vx3(esk5_1(X85))
| ~ cp(esk4_1(X85))
| ca_Ax2(X85) ) ),
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_15,plain,
( rinvF(X2,X1)
| ~ rf(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_16,plain,
rf(i2003_11_14_17_21_08508,esk1_1(i2003_11_14_17_21_08508)),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_17,plain,
( ca_Ax2(esk1_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
fof(c_0_18,plain,
! [X88,X90,X91] :
( ( rs(X88,esk6_1(X88))
| ~ ca_Vx3(X88) )
& ( cp(esk6_1(X88))
| ~ ca_Vx3(X88) )
& ( ~ rs(X90,X91)
| ~ cp(X91)
| ca_Vx3(X90) ) ),
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_19,plain,
( ca_Vx3(X2)
| ~ rinvF(X1,X2)
| ~ ca_Ax2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_20,plain,
rinvF(esk1_1(i2003_11_14_17_21_08508),i2003_11_14_17_21_08508),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_21,plain,
ca_Ax2(esk1_1(i2003_11_14_17_21_08508)),
inference(spm,[status(thm)],[c_0_17,c_0_13]) ).
fof(c_0_22,plain,
! [X92,X93,X94] :
( ~ rf(X92,X93)
| ~ rf(X92,X94)
| X93 = X94 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_7])]) ).
fof(c_0_23,plain,
! [X107,X108] :
( ~ rs(X107,X108)
| rf(X107,X108) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_14])]) ).
cnf(c_0_24,plain,
( rs(X1,esk6_1(X1))
| ~ ca_Vx3(X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_25,plain,
ca_Vx3(i2003_11_14_17_21_08508),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21])]) ).
cnf(c_0_26,plain,
( X2 = X3
| ~ rf(X1,X2)
| ~ rf(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
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(i2003_11_14_17_21_08508,esk6_1(i2003_11_14_17_21_08508)),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
fof(c_0_29,plain,
! [X74,X75,X76] :
( ( ~ cp(X74)
| ~ ra_Px1(X74,X75) )
& ( ra_Px1(X76,esk2_1(X76))
| cp(X76) ) ),
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_30,plain,
! [X78,X80,X81] :
( ( ~ cpxcomp(X78)
| ra_Px1(X78,esk3_1(X78)) )
& ( ~ ra_Px1(X80,X81)
| cpxcomp(X80) ) ),
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])])])])]) ).
cnf(c_0_31,plain,
( X1 = esk1_1(i2003_11_14_17_21_08508)
| ~ rf(i2003_11_14_17_21_08508,X1) ),
inference(spm,[status(thm)],[c_0_26,c_0_16]) ).
cnf(c_0_32,plain,
rf(i2003_11_14_17_21_08508,esk6_1(i2003_11_14_17_21_08508)),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_33,plain,
( ~ cp(X1)
| ~ ra_Px1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_34,plain,
( ra_Px1(X1,esk3_1(X1))
| ~ cpxcomp(X1) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
fof(c_0_35,plain,
! [X102,X103] :
( ( ~ rinvS(X102,X103)
| rs(X103,X102) )
& ( ~ rs(X103,X102)
| rinvS(X102,X103) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_11])]) ).
cnf(c_0_36,plain,
esk6_1(i2003_11_14_17_21_08508) = esk1_1(i2003_11_14_17_21_08508),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_37,plain,
( ~ cpxcomp(X1)
| ~ cp(X1) ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_38,plain,
( cpxcomp(X1)
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_39,plain,
( rinvS(X2,X1)
| ~ rs(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_40,plain,
rs(i2003_11_14_17_21_08508,esk1_1(i2003_11_14_17_21_08508)),
inference(rw,[status(thm)],[c_0_28,c_0_36]) ).
cnf(c_0_41,plain,
( ~ cp(X1)
| ~ cUnsatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_42,plain,
( cp(X2)
| ~ rinvS(X1,X2)
| ~ ca_Ax2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_43,plain,
rinvS(esk1_1(i2003_11_14_17_21_08508),i2003_11_14_17_21_08508),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_44,plain,
~ cp(i2003_11_14_17_21_08508),
inference(spm,[status(thm)],[c_0_41,c_0_13]) ).
cnf(c_0_45,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_21])]),c_0_44]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : KRS109+1 : TPTP v8.1.2. Released v3.1.0.
% 0.12/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.34 % Computer : n021.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Aug 28 01:51:28 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.63 start to proof: theBenchmark
% 0.19/0.65 % Version : CSE_E---1.5
% 0.19/0.65 % Problem : theBenchmark.p
% 0.19/0.65 % Proof found
% 0.19/0.65 % SZS status Theorem for theBenchmark.p
% 0.19/0.65 % SZS output start Proof
% See solution above
% 0.19/0.65 % Total time : 0.009000 s
% 0.19/0.65 % SZS output end Proof
% 0.19/0.65 % Total time : 0.012000 s
%------------------------------------------------------------------------------