TSTP Solution File: KRS114+1 by CSE_E---1.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : KRS114+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 : n025.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 05:40:18 EDT 2023
% Result : Unsatisfiable 0.17s 0.57s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 36
% Syntax : Number of formulae : 65 ( 4 unt; 28 typ; 0 def)
% Number of atoms : 129 ( 6 equ)
% Maximal formula atoms : 20 ( 3 avg)
% Number of connectives : 155 ( 63 ~; 60 |; 23 &)
% ( 7 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 32 ( 27 >; 5 *; 0 +; 0 <<)
% Number of predicates : 19 ( 17 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 1 con; 0-1 aty)
% Number of variables : 63 ( 2 sgn; 32 !; 5 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
cUnsatisfiable: $i > $o ).
tff(decl_23,type,
ca_Ax3: $i > $o ).
tff(decl_24,type,
ca_Ax4: $i > $o ).
tff(decl_25,type,
ca_Vx5: $i > $o ).
tff(decl_26,type,
cowlNothing: $i > $o ).
tff(decl_27,type,
cowlThing: $i > $o ).
tff(decl_28,type,
cp: $i > $o ).
tff(decl_29,type,
cpxcomp: $i > $o ).
tff(decl_30,type,
cq: $i > $o ).
tff(decl_31,type,
cqxcomp: $i > $o ).
tff(decl_32,type,
ra_Px1: ( $i * $i ) > $o ).
tff(decl_33,type,
ra_Px2: ( $i * $i ) > $o ).
tff(decl_34,type,
rinvR: ( $i * $i ) > $o ).
tff(decl_35,type,
rr: ( $i * $i ) > $o ).
tff(decl_36,type,
rs: ( $i * $i ) > $o ).
tff(decl_37,type,
xsd_integer: $i > $o ).
tff(decl_38,type,
xsd_string: $i > $o ).
tff(decl_39,type,
i2003_11_14_17_21_262: $i ).
tff(decl_40,type,
esk1_1: $i > $i ).
tff(decl_41,type,
esk2_1: $i > $i ).
tff(decl_42,type,
esk3_1: $i > $i ).
tff(decl_43,type,
esk4_1: $i > $i ).
tff(decl_44,type,
esk5_1: $i > $i ).
tff(decl_45,type,
esk6_1: $i > $i ).
tff(decl_46,type,
esk7_1: $i > $i ).
tff(decl_47,type,
esk8_1: $i > $i ).
tff(decl_48,type,
esk9_1: $i > $i ).
tff(decl_49,type,
esk10_1: $i > $i ).
fof(axiom_3,axiom,
! [X4] :
( cp(X4)
<=> ~ ? [X5] : ra_Px1(X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(axiom_4,axiom,
! [X4] :
( cpxcomp(X4)
<=> ? [X6] : ra_Px1(X4,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
fof(axiom_8,axiom,
! [X4] :
( ca_Ax4(X4)
<=> ( ! [X6,X7] :
( ( rinvR(X4,X6)
& rinvR(X4,X7) )
=> X6 = X7 )
& ? [X5] :
( rinvR(X4,X5)
& ca_Vx5(X5) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).
fof(axiom_10,axiom,
! [X4,X5] :
( rinvR(X4,X5)
<=> rr(X5,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_10) ).
fof(axiom_2,axiom,
! [X4] :
( cUnsatisfiable(X4)
<=> ( ? [X5] :
( rr(X4,X5)
& ca_Ax4(X5) )
& ? [X5] :
( rs(X4,X5)
& ca_Ax3(X5) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(axiom_7,axiom,
! [X4] :
( ca_Ax3(X4)
<=> ( cqxcomp(X4)
& cpxcomp(X4) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
fof(axiom_9,axiom,
! [X4] :
( ca_Vx5(X4)
<=> ! [X5] :
( rs(X4,X5)
=> cp(X5) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_9) ).
fof(axiom_11,axiom,
cUnsatisfiable(i2003_11_14_17_21_262),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_11) ).
fof(c_0_8,plain,
! [X70,X71,X72] :
( ( ~ cp(X70)
| ~ ra_Px1(X70,X71) )
& ( ra_Px1(X72,esk3_1(X72))
| cp(X72) ) ),
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_9,plain,
! [X74,X76,X77] :
( ( ~ cpxcomp(X74)
| ra_Px1(X74,esk4_1(X74)) )
& ( ~ ra_Px1(X76,X77)
| cpxcomp(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_4])])])])]) ).
fof(c_0_10,plain,
! [X87,X88,X89,X91,X94] :
( ( ~ rinvR(X87,X88)
| ~ rinvR(X87,X89)
| X88 = X89
| ~ ca_Ax4(X87) )
& ( rinvR(X87,esk7_1(X87))
| ~ ca_Ax4(X87) )
& ( ca_Vx5(esk7_1(X87))
| ~ ca_Ax4(X87) )
& ( rinvR(X91,esk8_1(X91))
| ~ rinvR(X91,X94)
| ~ ca_Vx5(X94)
| ca_Ax4(X91) )
& ( rinvR(X91,esk9_1(X91))
| ~ rinvR(X91,X94)
| ~ ca_Vx5(X94)
| ca_Ax4(X91) )
& ( esk8_1(X91) != esk9_1(X91)
| ~ rinvR(X91,X94)
| ~ ca_Vx5(X94)
| ca_Ax4(X91) ) ),
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_8])])])])])]) ).
fof(c_0_11,plain,
! [X99,X100] :
( ( ~ rinvR(X99,X100)
| rr(X100,X99) )
& ( ~ rr(X100,X99)
| rinvR(X99,X100) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_10])]) ).
fof(c_0_12,plain,
! [X64,X67,X68,X69] :
( ( rr(X64,esk1_1(X64))
| ~ cUnsatisfiable(X64) )
& ( ca_Ax4(esk1_1(X64))
| ~ cUnsatisfiable(X64) )
& ( rs(X64,esk2_1(X64))
| ~ cUnsatisfiable(X64) )
& ( ca_Ax3(esk2_1(X64))
| ~ cUnsatisfiable(X64) )
& ( ~ rr(X67,X68)
| ~ ca_Ax4(X68)
| ~ rs(X67,X69)
| ~ ca_Ax3(X69)
| cUnsatisfiable(X67) ) ),
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_13,plain,
( ~ cp(X1)
| ~ ra_Px1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_14,plain,
( ra_Px1(X1,esk4_1(X1))
| ~ cpxcomp(X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
fof(c_0_15,plain,
! [X86] :
( ( cqxcomp(X86)
| ~ ca_Ax3(X86) )
& ( cpxcomp(X86)
| ~ ca_Ax3(X86) )
& ( ~ cqxcomp(X86)
| ~ cpxcomp(X86)
| ca_Ax3(X86) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_7])])]) ).
fof(c_0_16,plain,
! [X95,X96,X97] :
( ( ~ ca_Vx5(X95)
| ~ rs(X95,X96)
| cp(X96) )
& ( rs(X97,esk10_1(X97))
| ca_Vx5(X97) )
& ( ~ cp(esk10_1(X97))
| ca_Vx5(X97) ) ),
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_9])])])])])]) ).
cnf(c_0_17,plain,
( X2 = X3
| ~ rinvR(X1,X2)
| ~ rinvR(X1,X3)
| ~ ca_Ax4(X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_18,plain,
( rinvR(X1,esk7_1(X1))
| ~ ca_Ax4(X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_19,plain,
( rinvR(X2,X1)
| ~ rr(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_20,plain,
( rr(X1,esk1_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_21,plain,
( ~ cpxcomp(X1)
| ~ cp(X1) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_22,plain,
( cpxcomp(X1)
| ~ ca_Ax3(X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_23,plain,
( cp(X2)
| ~ ca_Vx5(X1)
| ~ rs(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_24,plain,
( rs(X1,esk2_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_25,plain,
( X1 = esk7_1(X2)
| ~ rinvR(X2,X1)
| ~ ca_Ax4(X2) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_26,plain,
( rinvR(esk1_1(X1),X1)
| ~ cUnsatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_27,plain,
( ca_Ax4(esk1_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_28,plain,
( ~ cp(X1)
| ~ ca_Ax3(X1) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_29,plain,
( cp(esk2_1(X1))
| ~ ca_Vx5(X1)
| ~ cUnsatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_30,plain,
( ca_Ax3(esk2_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_31,plain,
( ca_Vx5(esk7_1(X1))
| ~ ca_Ax4(X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_32,plain,
( esk7_1(esk1_1(X1)) = X1
| ~ cUnsatisfiable(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27]) ).
cnf(c_0_33,plain,
( ~ ca_Vx5(X1)
| ~ cUnsatisfiable(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30]) ).
cnf(c_0_34,plain,
cUnsatisfiable(i2003_11_14_17_21_262),
inference(split_conjunct,[status(thm)],[axiom_11]) ).
cnf(c_0_35,plain,
~ cUnsatisfiable(X1),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_27]),c_0_33]) ).
cnf(c_0_36,plain,
$false,
inference(sr,[status(thm)],[c_0_34,c_0_35]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : KRS114+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.11 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.10/0.32 % Computer : n025.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Mon Aug 28 01:26:54 EDT 2023
% 0.10/0.32 % CPUTime :
% 0.17/0.55 start to proof: theBenchmark
% 0.17/0.57 % Version : CSE_E---1.5
% 0.17/0.57 % Problem : theBenchmark.p
% 0.17/0.57 % Proof found
% 0.17/0.57 % SZS status Theorem for theBenchmark.p
% 0.17/0.57 % SZS output start Proof
% See solution above
% 0.17/0.58 % Total time : 0.009000 s
% 0.17/0.58 % SZS output end Proof
% 0.17/0.58 % Total time : 0.012000 s
%------------------------------------------------------------------------------