TSTP Solution File: KRS116+1 by CSE_E---1.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : KRS116+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 : n027.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 0.20s 0.59s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 53
% Syntax : Number of formulae : 108 ( 5 unt; 37 typ; 0 def)
% Number of atoms : 371 ( 0 equ)
% Maximal formula atoms : 164 ( 5 avg)
% Number of connectives : 495 ( 195 ~; 224 |; 54 &)
% ( 12 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 41 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 43 ( 36 >; 7 *; 0 +; 0 <<)
% Number of predicates : 22 ( 21 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 1 con; 0-1 aty)
% Number of variables : 124 ( 4 sgn; 68 !; 7 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
cowlThing: $i > $o ).
tff(decl_23,type,
cowlNothing: $i > $o ).
tff(decl_24,type,
xsd_string: $i > $o ).
tff(decl_25,type,
xsd_integer: $i > $o ).
tff(decl_26,type,
cUnsatisfiable: $i > $o ).
tff(decl_27,type,
ca: $i > $o ).
tff(decl_28,type,
rs: ( $i * $i ) > $o ).
tff(decl_29,type,
ca_Ax2: $i > $o ).
tff(decl_30,type,
ra_Px1: ( $i * $i ) > $o ).
tff(decl_31,type,
caxcomp: $i > $o ).
tff(decl_32,type,
cc: $i > $o ).
tff(decl_33,type,
rinvR: ( $i * $i ) > $o ).
tff(decl_34,type,
ca_Vx7: $i > $o ).
tff(decl_35,type,
rp: ( $i * $i ) > $o ).
tff(decl_36,type,
ca_Vx3: $i > $o ).
tff(decl_37,type,
ca_Vx5: $i > $o ).
tff(decl_38,type,
rr: ( $i * $i ) > $o ).
tff(decl_39,type,
ca_Vx4: $i > $o ).
tff(decl_40,type,
ca_Vx6: $i > $o ).
tff(decl_41,type,
rinvS: ( $i * $i ) > $o ).
tff(decl_42,type,
rinvP: ( $i * $i ) > $o ).
tff(decl_43,type,
i2003_11_14_17_21_33997: $i ).
tff(decl_44,type,
esk1_1: $i > $i ).
tff(decl_45,type,
esk2_1: $i > $i ).
tff(decl_46,type,
esk3_1: $i > $i ).
tff(decl_47,type,
esk4_1: $i > $i ).
tff(decl_48,type,
esk5_1: $i > $i ).
tff(decl_49,type,
esk6_1: $i > $i ).
tff(decl_50,type,
esk7_1: $i > $i ).
tff(decl_51,type,
esk8_1: $i > $i ).
tff(decl_52,type,
esk9_1: $i > $i ).
tff(decl_53,type,
esk10_1: $i > $i ).
tff(decl_54,type,
esk11_1: $i > $i ).
tff(decl_55,type,
esk12_1: $i > $i ).
tff(decl_56,type,
esk13_1: $i > $i ).
tff(decl_57,type,
esk14_1: $i > $i ).
tff(decl_58,type,
esk15_1: $i > $i ).
fof(axiom_0,axiom,
! [X1] :
( cowlThing(X1)
& ~ cowlNothing(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).
fof(axiom_14,axiom,
! [X1,X2] :
( rinvR(X1,X2)
<=> rr(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_14) ).
fof(axiom_8,axiom,
! [X1] :
( ca_Vx3(X1)
<=> ? [X2] :
( rr(X1,X2)
& cowlThing(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).
fof(axiom_9,axiom,
! [X1] :
( ca_Vx4(X1)
<=> ? [X2] :
( rp(X1,X2)
& cowlThing(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_9) ).
fof(axiom_6,axiom,
! [X1] :
( cc(X1)
<=> ! [X2] :
( rinvR(X1,X2)
=> ca_Vx7(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
fof(axiom_10,axiom,
! [X1] :
( ca_Vx5(X1)
<=> ! [X2] :
( rr(X1,X2)
=> cc(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_10) ).
fof(axiom_7,axiom,
! [X1] :
( ca_Ax2(X1)
<=> ( ! [X2] :
( rp(X1,X2)
=> ca_Vx3(X2) )
& ! [X2] :
( rp(X1,X2)
=> ca_Vx5(X2) )
& ! [X2] :
( rr(X1,X2)
=> cc(X2) )
& ? [X2] :
( rr(X1,X2)
& cowlThing(X2) )
& ? [X2] :
( rp(X1,X2)
& cowlThing(X2) )
& ! [X2] :
( rp(X1,X2)
=> ca_Vx4(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
fof(axiom_13,axiom,
! [X1,X2] :
( rinvP(X1,X2)
<=> rp(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_13) ).
fof(axiom_12,axiom,
! [X1] :
( ca_Vx7(X1)
<=> ! [X2] :
( rinvP(X1,X2)
=> ca_Vx6(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_12) ).
fof(axiom_15,axiom,
! [X1,X2] :
( rinvS(X1,X2)
<=> rs(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_15) ).
fof(axiom_3,axiom,
! [X1] :
( cUnsatisfiable(X1)
=> ? [X2] :
( rs(X1,X2)
& ca_Ax2(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(axiom_11,axiom,
! [X1] :
( ca_Vx6(X1)
<=> ! [X2] :
( rinvS(X1,X2)
=> caxcomp(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_11) ).
fof(axiom_4,axiom,
! [X1] :
( ca(X1)
<=> ~ ? [X2] : ra_Px1(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
fof(axiom_5,axiom,
! [X1] :
( caxcomp(X1)
<=> ? [X3] : ra_Px1(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
fof(axiom_2,axiom,
! [X1] :
( cUnsatisfiable(X1)
=> ca(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(axiom_17,axiom,
cUnsatisfiable(i2003_11_14_17_21_33997),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_17) ).
fof(c_0_16,plain,
! [X1] :
( cowlThing(X1)
& ~ cowlNothing(X1) ),
inference(fof_simplification,[status(thm)],[axiom_0]) ).
fof(c_0_17,plain,
! [X58,X59] :
( ( ~ rinvR(X58,X59)
| rr(X59,X58) )
& ( ~ rr(X59,X58)
| rinvR(X58,X59) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_14])]) ).
fof(c_0_18,plain,
! [X36,X38,X39] :
( ( rr(X36,esk11_1(X36))
| ~ ca_Vx3(X36) )
& ( cowlThing(esk11_1(X36))
| ~ ca_Vx3(X36) )
& ( ~ rr(X38,X39)
| ~ cowlThing(X39)
| ca_Vx3(X38) ) ),
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_19,plain,
! [X40,X42,X43] :
( ( rp(X40,esk12_1(X40))
| ~ ca_Vx4(X40) )
& ( cowlThing(esk12_1(X40))
| ~ ca_Vx4(X40) )
& ( ~ rp(X42,X43)
| ~ cowlThing(X43)
| ca_Vx4(X42) ) ),
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])])])])])]) ).
fof(c_0_20,plain,
! [X5] :
( cowlThing(X5)
& ~ cowlNothing(X5) ),
inference(variable_rename,[status(thm)],[c_0_16]) ).
fof(c_0_21,plain,
! [X18,X19,X20] :
( ( ~ cc(X18)
| ~ rinvR(X18,X19)
| ca_Vx7(X19) )
& ( rinvR(X20,esk4_1(X20))
| cc(X20) )
& ( ~ ca_Vx7(esk4_1(X20))
| cc(X20) ) ),
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_22,plain,
( rinvR(X2,X1)
| ~ rr(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_23,plain,
( rr(X1,esk11_1(X1))
| ~ ca_Vx3(X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_24,plain,
! [X44,X45,X46] :
( ( ~ ca_Vx5(X44)
| ~ rr(X44,X45)
| cc(X45) )
& ( rr(X46,esk13_1(X46))
| ca_Vx5(X46) )
& ( ~ cc(esk13_1(X46))
| ca_Vx5(X46) ) ),
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_10])])])])])]) ).
cnf(c_0_25,plain,
( ca_Vx4(X1)
| ~ rp(X1,X2)
| ~ cowlThing(X2) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_26,plain,
cowlThing(X1),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
fof(c_0_27,plain,
! [X22,X23,X24,X25,X28,X29,X33,X34] :
( ( ~ rp(X22,X23)
| ca_Vx3(X23)
| ~ ca_Ax2(X22) )
& ( ~ rp(X22,X24)
| ca_Vx5(X24)
| ~ ca_Ax2(X22) )
& ( ~ rr(X22,X25)
| cc(X25)
| ~ ca_Ax2(X22) )
& ( rr(X22,esk5_1(X22))
| ~ ca_Ax2(X22) )
& ( cowlThing(esk5_1(X22))
| ~ ca_Ax2(X22) )
& ( rp(X22,esk6_1(X22))
| ~ ca_Ax2(X22) )
& ( cowlThing(esk6_1(X22))
| ~ ca_Ax2(X22) )
& ( ~ rp(X22,X28)
| ca_Vx4(X28)
| ~ ca_Ax2(X22) )
& ( rp(X29,esk10_1(X29))
| rr(X29,esk9_1(X29))
| rp(X29,esk8_1(X29))
| rp(X29,esk7_1(X29))
| ~ rr(X29,X33)
| ~ cowlThing(X33)
| ~ rp(X29,X34)
| ~ cowlThing(X34)
| ca_Ax2(X29) )
& ( ~ ca_Vx4(esk10_1(X29))
| rr(X29,esk9_1(X29))
| rp(X29,esk8_1(X29))
| rp(X29,esk7_1(X29))
| ~ rr(X29,X33)
| ~ cowlThing(X33)
| ~ rp(X29,X34)
| ~ cowlThing(X34)
| ca_Ax2(X29) )
& ( rp(X29,esk10_1(X29))
| ~ cc(esk9_1(X29))
| rp(X29,esk8_1(X29))
| rp(X29,esk7_1(X29))
| ~ rr(X29,X33)
| ~ cowlThing(X33)
| ~ rp(X29,X34)
| ~ cowlThing(X34)
| ca_Ax2(X29) )
& ( ~ ca_Vx4(esk10_1(X29))
| ~ cc(esk9_1(X29))
| rp(X29,esk8_1(X29))
| rp(X29,esk7_1(X29))
| ~ rr(X29,X33)
| ~ cowlThing(X33)
| ~ rp(X29,X34)
| ~ cowlThing(X34)
| ca_Ax2(X29) )
& ( rp(X29,esk10_1(X29))
| rr(X29,esk9_1(X29))
| ~ ca_Vx5(esk8_1(X29))
| rp(X29,esk7_1(X29))
| ~ rr(X29,X33)
| ~ cowlThing(X33)
| ~ rp(X29,X34)
| ~ cowlThing(X34)
| ca_Ax2(X29) )
& ( ~ ca_Vx4(esk10_1(X29))
| rr(X29,esk9_1(X29))
| ~ ca_Vx5(esk8_1(X29))
| rp(X29,esk7_1(X29))
| ~ rr(X29,X33)
| ~ cowlThing(X33)
| ~ rp(X29,X34)
| ~ cowlThing(X34)
| ca_Ax2(X29) )
& ( rp(X29,esk10_1(X29))
| ~ cc(esk9_1(X29))
| ~ ca_Vx5(esk8_1(X29))
| rp(X29,esk7_1(X29))
| ~ rr(X29,X33)
| ~ cowlThing(X33)
| ~ rp(X29,X34)
| ~ cowlThing(X34)
| ca_Ax2(X29) )
& ( ~ ca_Vx4(esk10_1(X29))
| ~ cc(esk9_1(X29))
| ~ ca_Vx5(esk8_1(X29))
| rp(X29,esk7_1(X29))
| ~ rr(X29,X33)
| ~ cowlThing(X33)
| ~ rp(X29,X34)
| ~ cowlThing(X34)
| ca_Ax2(X29) )
& ( rp(X29,esk10_1(X29))
| rr(X29,esk9_1(X29))
| rp(X29,esk8_1(X29))
| ~ ca_Vx3(esk7_1(X29))
| ~ rr(X29,X33)
| ~ cowlThing(X33)
| ~ rp(X29,X34)
| ~ cowlThing(X34)
| ca_Ax2(X29) )
& ( ~ ca_Vx4(esk10_1(X29))
| rr(X29,esk9_1(X29))
| rp(X29,esk8_1(X29))
| ~ ca_Vx3(esk7_1(X29))
| ~ rr(X29,X33)
| ~ cowlThing(X33)
| ~ rp(X29,X34)
| ~ cowlThing(X34)
| ca_Ax2(X29) )
& ( rp(X29,esk10_1(X29))
| ~ cc(esk9_1(X29))
| rp(X29,esk8_1(X29))
| ~ ca_Vx3(esk7_1(X29))
| ~ rr(X29,X33)
| ~ cowlThing(X33)
| ~ rp(X29,X34)
| ~ cowlThing(X34)
| ca_Ax2(X29) )
& ( ~ ca_Vx4(esk10_1(X29))
| ~ cc(esk9_1(X29))
| rp(X29,esk8_1(X29))
| ~ ca_Vx3(esk7_1(X29))
| ~ rr(X29,X33)
| ~ cowlThing(X33)
| ~ rp(X29,X34)
| ~ cowlThing(X34)
| ca_Ax2(X29) )
& ( rp(X29,esk10_1(X29))
| rr(X29,esk9_1(X29))
| ~ ca_Vx5(esk8_1(X29))
| ~ ca_Vx3(esk7_1(X29))
| ~ rr(X29,X33)
| ~ cowlThing(X33)
| ~ rp(X29,X34)
| ~ cowlThing(X34)
| ca_Ax2(X29) )
& ( ~ ca_Vx4(esk10_1(X29))
| rr(X29,esk9_1(X29))
| ~ ca_Vx5(esk8_1(X29))
| ~ ca_Vx3(esk7_1(X29))
| ~ rr(X29,X33)
| ~ cowlThing(X33)
| ~ rp(X29,X34)
| ~ cowlThing(X34)
| ca_Ax2(X29) )
& ( rp(X29,esk10_1(X29))
| ~ cc(esk9_1(X29))
| ~ ca_Vx5(esk8_1(X29))
| ~ ca_Vx3(esk7_1(X29))
| ~ rr(X29,X33)
| ~ cowlThing(X33)
| ~ rp(X29,X34)
| ~ cowlThing(X34)
| ca_Ax2(X29) )
& ( ~ ca_Vx4(esk10_1(X29))
| ~ cc(esk9_1(X29))
| ~ ca_Vx5(esk8_1(X29))
| ~ ca_Vx3(esk7_1(X29))
| ~ rr(X29,X33)
| ~ cowlThing(X33)
| ~ rp(X29,X34)
| ~ cowlThing(X34)
| ca_Ax2(X29) ) ),
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_7])])])])])]) ).
fof(c_0_28,plain,
! [X56,X57] :
( ( ~ rinvP(X56,X57)
| rp(X57,X56) )
& ( ~ rp(X57,X56)
| rinvP(X56,X57) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_13])]) ).
cnf(c_0_29,plain,
( ca_Vx7(X2)
| ~ cc(X1)
| ~ rinvR(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_30,plain,
( rinvR(esk11_1(X1),X1)
| ~ ca_Vx3(X1) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_31,plain,
( cc(X2)
| ~ ca_Vx5(X1)
| ~ rr(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_32,plain,
( ca_Vx4(X1)
| ~ rp(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_26])]) ).
cnf(c_0_33,plain,
( rp(X1,esk6_1(X1))
| ~ ca_Ax2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
fof(c_0_34,plain,
! [X52,X53,X54] :
( ( ~ ca_Vx7(X52)
| ~ rinvP(X52,X53)
| ca_Vx6(X53) )
& ( rinvP(X54,esk15_1(X54))
| ca_Vx7(X54) )
& ( ~ ca_Vx6(esk15_1(X54))
| ca_Vx7(X54) ) ),
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_12])])])])])]) ).
cnf(c_0_35,plain,
( rinvP(X2,X1)
| ~ rp(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_36,plain,
( rp(X1,esk12_1(X1))
| ~ ca_Vx4(X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_37,plain,
( ca_Vx7(X1)
| ~ ca_Vx3(X1)
| ~ cc(esk11_1(X1)) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_38,plain,
( cc(esk11_1(X1))
| ~ ca_Vx5(X1)
| ~ ca_Vx3(X1) ),
inference(spm,[status(thm)],[c_0_31,c_0_23]) ).
cnf(c_0_39,plain,
( ca_Vx3(X2)
| ~ rp(X1,X2)
| ~ ca_Ax2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_40,plain,
( ca_Vx4(X1)
| ~ ca_Ax2(X1) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_41,plain,
( ca_Vx5(X2)
| ~ rp(X1,X2)
| ~ ca_Ax2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
fof(c_0_42,plain,
! [X60,X61] :
( ( ~ rinvS(X60,X61)
| rs(X61,X60) )
& ( ~ rs(X61,X60)
| rinvS(X60,X61) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_15])]) ).
fof(c_0_43,plain,
! [X8] :
( ( rs(X8,esk1_1(X8))
| ~ cUnsatisfiable(X8) )
& ( ca_Ax2(esk1_1(X8))
| ~ cUnsatisfiable(X8) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_3])])])]) ).
cnf(c_0_44,plain,
( ca_Vx6(X2)
| ~ ca_Vx7(X1)
| ~ rinvP(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_45,plain,
( rinvP(esk12_1(X1),X1)
| ~ ca_Vx4(X1) ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_46,plain,
( ca_Vx7(X1)
| ~ ca_Vx5(X1)
| ~ ca_Vx3(X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_47,plain,
( ca_Vx3(esk12_1(X1))
| ~ ca_Ax2(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_36]),c_0_40]) ).
cnf(c_0_48,plain,
( ca_Vx5(esk12_1(X1))
| ~ ca_Ax2(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_36]),c_0_40]) ).
fof(c_0_49,plain,
! [X48,X49,X50] :
( ( ~ ca_Vx6(X48)
| ~ rinvS(X48,X49)
| caxcomp(X49) )
& ( rinvS(X50,esk14_1(X50))
| ca_Vx6(X50) )
& ( ~ caxcomp(esk14_1(X50))
| ca_Vx6(X50) ) ),
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_11])])])])])]) ).
cnf(c_0_50,plain,
( rinvS(X2,X1)
| ~ rs(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_51,plain,
( rs(X1,esk1_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_52,plain,
( ca_Vx6(X1)
| ~ ca_Vx4(X1)
| ~ ca_Vx7(esk12_1(X1)) ),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_53,plain,
( ca_Vx7(esk12_1(X1))
| ~ ca_Ax2(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_48]) ).
fof(c_0_54,plain,
! [X10,X11,X12] :
( ( ~ ca(X10)
| ~ ra_Px1(X10,X11) )
& ( ra_Px1(X12,esk2_1(X12))
| ca(X12) ) ),
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_55,plain,
! [X14,X16,X17] :
( ( ~ caxcomp(X14)
| ra_Px1(X14,esk3_1(X14)) )
& ( ~ ra_Px1(X16,X17)
| caxcomp(X16) ) ),
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_56,plain,
( caxcomp(X2)
| ~ ca_Vx6(X1)
| ~ rinvS(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_57,plain,
( rinvS(esk1_1(X1),X1)
| ~ cUnsatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_58,plain,
( ca_Vx6(X1)
| ~ ca_Ax2(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_40]) ).
cnf(c_0_59,plain,
( ca_Ax2(esk1_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_60,plain,
( ~ ca(X1)
| ~ ra_Px1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_61,plain,
( ra_Px1(X1,esk3_1(X1))
| ~ caxcomp(X1) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_62,plain,
( caxcomp(X1)
| ~ ca_Vx6(esk1_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_63,plain,
( ca_Vx6(esk1_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
fof(c_0_64,plain,
! [X7] :
( ~ cUnsatisfiable(X7)
| ca(X7) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_2])]) ).
cnf(c_0_65,plain,
( ~ caxcomp(X1)
| ~ ca(X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_66,plain,
( caxcomp(X1)
| ~ cUnsatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_67,plain,
( ca(X1)
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_68,plain,
cUnsatisfiable(i2003_11_14_17_21_33997),
inference(split_conjunct,[status(thm)],[axiom_17]) ).
cnf(c_0_69,plain,
~ cUnsatisfiable(X1),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_67]) ).
cnf(c_0_70,plain,
$false,
inference(sr,[status(thm)],[c_0_68,c_0_69]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : KRS116+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n027.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 28 02:35:21 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.57 start to proof: theBenchmark
% 0.20/0.59 % Version : CSE_E---1.5
% 0.20/0.59 % Problem : theBenchmark.p
% 0.20/0.59 % Proof found
% 0.20/0.59 % SZS status Theorem for theBenchmark.p
% 0.20/0.59 % SZS output start Proof
% See solution above
% 0.20/0.60 % Total time : 0.015000 s
% 0.20/0.60 % SZS output end Proof
% 0.20/0.60 % Total time : 0.018000 s
%------------------------------------------------------------------------------