TSTP Solution File: KRS081+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : KRS081+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 : n004.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 05:40:10 EDT 2023
% Result : Unsatisfiable 0.18s 0.62s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 33
% Syntax : Number of formulae : 87 ( 4 unt; 27 typ; 0 def)
% Number of atoms : 693 ( 135 equ)
% Maximal formula atoms : 420 ( 11 avg)
% Number of connectives : 1107 ( 474 ~; 557 |; 69 &)
% ( 1 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 78 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 27 ( 26 >; 1 *; 0 +; 0 <<)
% Number of predicates : 14 ( 12 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 1 con; 0-1 aty)
% Number of variables : 101 ( 1 sgn; 31 !; 9 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
cUnsatisfiable: $i > $o ).
tff(decl_23,type,
cowlNothing: $i > $o ).
tff(decl_24,type,
cowlThing: $i > $o ).
tff(decl_25,type,
cp: $i > $o ).
tff(decl_26,type,
cp1: $i > $o ).
tff(decl_27,type,
cp2: $i > $o ).
tff(decl_28,type,
cp3: $i > $o ).
tff(decl_29,type,
cp4: $i > $o ).
tff(decl_30,type,
cp5: $i > $o ).
tff(decl_31,type,
rr: ( $i * $i ) > $o ).
tff(decl_32,type,
xsd_integer: $i > $o ).
tff(decl_33,type,
xsd_string: $i > $o ).
tff(decl_34,type,
i2003_11_14_17_19_24236: $i ).
tff(decl_35,type,
esk1_1: $i > $i ).
tff(decl_36,type,
esk2_1: $i > $i ).
tff(decl_37,type,
esk3_1: $i > $i ).
tff(decl_38,type,
esk4_1: $i > $i ).
tff(decl_39,type,
esk5_1: $i > $i ).
tff(decl_40,type,
esk6_1: $i > $i ).
tff(decl_41,type,
esk7_1: $i > $i ).
tff(decl_42,type,
esk8_1: $i > $i ).
tff(decl_43,type,
esk9_1: $i > $i ).
tff(decl_44,type,
esk10_1: $i > $i ).
tff(decl_45,type,
esk11_1: $i > $i ).
tff(decl_46,type,
esk12_1: $i > $i ).
tff(decl_47,type,
esk13_1: $i > $i ).
tff(decl_48,type,
esk14_1: $i > $i ).
fof(axiom_2,axiom,
! [X4] :
( cUnsatisfiable(X4)
<=> ( ? [X5] :
( rr(X4,X5)
& cp3(X5) )
& ? [X5] :
( rr(X4,X5)
& cp4(X5)
& cp(X5) )
& ? [X5] :
( rr(X4,X5)
& cp4(X5) )
& ? [X5] :
( rr(X4,X5)
& cp2(X5)
& cp(X5) )
& ? [X5] :
( rr(X4,X5)
& cp5(X5) )
& ? [X5] :
( rr(X4,X5)
& cp(X5)
& cp3(X5) )
& ? [X5] :
( rr(X4,X5)
& cp1(X5) )
& ! [X6,X7,X8,X9,X10] :
( ( rr(X4,X6)
& rr(X4,X7)
& rr(X4,X8)
& rr(X4,X9)
& rr(X4,X10) )
=> ( X6 = X7
| X6 = X8
| X6 = X9
| X6 = X10
| X7 = X8
| X7 = X9
| X7 = X10
| X8 = X9
| X8 = X10
| X9 = X10 ) )
& ? [X5] :
( rr(X4,X5)
& cp1(X5)
& cp(X5) )
& ? [X5] :
( rr(X4,X5)
& cp2(X5) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(axiom_6,axiom,
! [X4] :
( cp4(X4)
=> ~ cp5(X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
fof(axiom_4,axiom,
! [X4] :
( cp2(X4)
=> ~ ( cp4(X4)
| cp5(X4)
| cp3(X4) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
fof(axiom_3,axiom,
! [X4] :
( cp1(X4)
=> ~ ( cp2(X4)
| cp4(X4)
| cp5(X4)
| cp3(X4) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(axiom_5,axiom,
! [X4] :
( cp3(X4)
=> ~ ( cp4(X4)
| cp5(X4) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
fof(axiom_7,axiom,
cUnsatisfiable(i2003_11_14_17_19_24236),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
fof(c_0_6,plain,
! [X41,X49,X50,X51,X52,X53,X56,X57,X58,X59,X60,X61,X62,X63,X69,X70] :
( ( rr(X41,esk1_1(X41))
| ~ cUnsatisfiable(X41) )
& ( cp3(esk1_1(X41))
| ~ cUnsatisfiable(X41) )
& ( rr(X41,esk2_1(X41))
| ~ cUnsatisfiable(X41) )
& ( cp4(esk2_1(X41))
| ~ cUnsatisfiable(X41) )
& ( cp(esk2_1(X41))
| ~ cUnsatisfiable(X41) )
& ( rr(X41,esk3_1(X41))
| ~ cUnsatisfiable(X41) )
& ( cp4(esk3_1(X41))
| ~ cUnsatisfiable(X41) )
& ( rr(X41,esk4_1(X41))
| ~ cUnsatisfiable(X41) )
& ( cp2(esk4_1(X41))
| ~ cUnsatisfiable(X41) )
& ( cp(esk4_1(X41))
| ~ cUnsatisfiable(X41) )
& ( rr(X41,esk5_1(X41))
| ~ cUnsatisfiable(X41) )
& ( cp5(esk5_1(X41))
| ~ cUnsatisfiable(X41) )
& ( rr(X41,esk6_1(X41))
| ~ cUnsatisfiable(X41) )
& ( cp(esk6_1(X41))
| ~ cUnsatisfiable(X41) )
& ( cp3(esk6_1(X41))
| ~ cUnsatisfiable(X41) )
& ( rr(X41,esk7_1(X41))
| ~ cUnsatisfiable(X41) )
& ( cp1(esk7_1(X41))
| ~ cUnsatisfiable(X41) )
& ( ~ rr(X41,X49)
| ~ rr(X41,X50)
| ~ rr(X41,X51)
| ~ rr(X41,X52)
| ~ rr(X41,X53)
| X49 = X50
| X49 = X51
| X49 = X52
| X49 = X53
| X50 = X51
| X50 = X52
| X50 = X53
| X51 = X52
| X51 = X53
| X52 = X53
| ~ cUnsatisfiable(X41) )
& ( rr(X41,esk8_1(X41))
| ~ cUnsatisfiable(X41) )
& ( cp1(esk8_1(X41))
| ~ cUnsatisfiable(X41) )
& ( cp(esk8_1(X41))
| ~ cUnsatisfiable(X41) )
& ( rr(X41,esk9_1(X41))
| ~ cUnsatisfiable(X41) )
& ( cp2(esk9_1(X41))
| ~ cUnsatisfiable(X41) )
& ( rr(X56,esk10_1(X56))
| ~ rr(X56,X57)
| ~ cp3(X57)
| ~ rr(X56,X58)
| ~ cp4(X58)
| ~ cp(X58)
| ~ rr(X56,X59)
| ~ cp4(X59)
| ~ rr(X56,X60)
| ~ cp2(X60)
| ~ cp(X60)
| ~ rr(X56,X61)
| ~ cp5(X61)
| ~ rr(X56,X62)
| ~ cp(X62)
| ~ cp3(X62)
| ~ rr(X56,X63)
| ~ cp1(X63)
| ~ rr(X56,X69)
| ~ cp1(X69)
| ~ cp(X69)
| ~ rr(X56,X70)
| ~ cp2(X70)
| cUnsatisfiable(X56) )
& ( rr(X56,esk11_1(X56))
| ~ rr(X56,X57)
| ~ cp3(X57)
| ~ rr(X56,X58)
| ~ cp4(X58)
| ~ cp(X58)
| ~ rr(X56,X59)
| ~ cp4(X59)
| ~ rr(X56,X60)
| ~ cp2(X60)
| ~ cp(X60)
| ~ rr(X56,X61)
| ~ cp5(X61)
| ~ rr(X56,X62)
| ~ cp(X62)
| ~ cp3(X62)
| ~ rr(X56,X63)
| ~ cp1(X63)
| ~ rr(X56,X69)
| ~ cp1(X69)
| ~ cp(X69)
| ~ rr(X56,X70)
| ~ cp2(X70)
| cUnsatisfiable(X56) )
& ( rr(X56,esk12_1(X56))
| ~ rr(X56,X57)
| ~ cp3(X57)
| ~ rr(X56,X58)
| ~ cp4(X58)
| ~ cp(X58)
| ~ rr(X56,X59)
| ~ cp4(X59)
| ~ rr(X56,X60)
| ~ cp2(X60)
| ~ cp(X60)
| ~ rr(X56,X61)
| ~ cp5(X61)
| ~ rr(X56,X62)
| ~ cp(X62)
| ~ cp3(X62)
| ~ rr(X56,X63)
| ~ cp1(X63)
| ~ rr(X56,X69)
| ~ cp1(X69)
| ~ cp(X69)
| ~ rr(X56,X70)
| ~ cp2(X70)
| cUnsatisfiable(X56) )
& ( rr(X56,esk13_1(X56))
| ~ rr(X56,X57)
| ~ cp3(X57)
| ~ rr(X56,X58)
| ~ cp4(X58)
| ~ cp(X58)
| ~ rr(X56,X59)
| ~ cp4(X59)
| ~ rr(X56,X60)
| ~ cp2(X60)
| ~ cp(X60)
| ~ rr(X56,X61)
| ~ cp5(X61)
| ~ rr(X56,X62)
| ~ cp(X62)
| ~ cp3(X62)
| ~ rr(X56,X63)
| ~ cp1(X63)
| ~ rr(X56,X69)
| ~ cp1(X69)
| ~ cp(X69)
| ~ rr(X56,X70)
| ~ cp2(X70)
| cUnsatisfiable(X56) )
& ( rr(X56,esk14_1(X56))
| ~ rr(X56,X57)
| ~ cp3(X57)
| ~ rr(X56,X58)
| ~ cp4(X58)
| ~ cp(X58)
| ~ rr(X56,X59)
| ~ cp4(X59)
| ~ rr(X56,X60)
| ~ cp2(X60)
| ~ cp(X60)
| ~ rr(X56,X61)
| ~ cp5(X61)
| ~ rr(X56,X62)
| ~ cp(X62)
| ~ cp3(X62)
| ~ rr(X56,X63)
| ~ cp1(X63)
| ~ rr(X56,X69)
| ~ cp1(X69)
| ~ cp(X69)
| ~ rr(X56,X70)
| ~ cp2(X70)
| cUnsatisfiable(X56) )
& ( esk10_1(X56) != esk11_1(X56)
| ~ rr(X56,X57)
| ~ cp3(X57)
| ~ rr(X56,X58)
| ~ cp4(X58)
| ~ cp(X58)
| ~ rr(X56,X59)
| ~ cp4(X59)
| ~ rr(X56,X60)
| ~ cp2(X60)
| ~ cp(X60)
| ~ rr(X56,X61)
| ~ cp5(X61)
| ~ rr(X56,X62)
| ~ cp(X62)
| ~ cp3(X62)
| ~ rr(X56,X63)
| ~ cp1(X63)
| ~ rr(X56,X69)
| ~ cp1(X69)
| ~ cp(X69)
| ~ rr(X56,X70)
| ~ cp2(X70)
| cUnsatisfiable(X56) )
& ( esk10_1(X56) != esk12_1(X56)
| ~ rr(X56,X57)
| ~ cp3(X57)
| ~ rr(X56,X58)
| ~ cp4(X58)
| ~ cp(X58)
| ~ rr(X56,X59)
| ~ cp4(X59)
| ~ rr(X56,X60)
| ~ cp2(X60)
| ~ cp(X60)
| ~ rr(X56,X61)
| ~ cp5(X61)
| ~ rr(X56,X62)
| ~ cp(X62)
| ~ cp3(X62)
| ~ rr(X56,X63)
| ~ cp1(X63)
| ~ rr(X56,X69)
| ~ cp1(X69)
| ~ cp(X69)
| ~ rr(X56,X70)
| ~ cp2(X70)
| cUnsatisfiable(X56) )
& ( esk10_1(X56) != esk13_1(X56)
| ~ rr(X56,X57)
| ~ cp3(X57)
| ~ rr(X56,X58)
| ~ cp4(X58)
| ~ cp(X58)
| ~ rr(X56,X59)
| ~ cp4(X59)
| ~ rr(X56,X60)
| ~ cp2(X60)
| ~ cp(X60)
| ~ rr(X56,X61)
| ~ cp5(X61)
| ~ rr(X56,X62)
| ~ cp(X62)
| ~ cp3(X62)
| ~ rr(X56,X63)
| ~ cp1(X63)
| ~ rr(X56,X69)
| ~ cp1(X69)
| ~ cp(X69)
| ~ rr(X56,X70)
| ~ cp2(X70)
| cUnsatisfiable(X56) )
& ( esk10_1(X56) != esk14_1(X56)
| ~ rr(X56,X57)
| ~ cp3(X57)
| ~ rr(X56,X58)
| ~ cp4(X58)
| ~ cp(X58)
| ~ rr(X56,X59)
| ~ cp4(X59)
| ~ rr(X56,X60)
| ~ cp2(X60)
| ~ cp(X60)
| ~ rr(X56,X61)
| ~ cp5(X61)
| ~ rr(X56,X62)
| ~ cp(X62)
| ~ cp3(X62)
| ~ rr(X56,X63)
| ~ cp1(X63)
| ~ rr(X56,X69)
| ~ cp1(X69)
| ~ cp(X69)
| ~ rr(X56,X70)
| ~ cp2(X70)
| cUnsatisfiable(X56) )
& ( esk11_1(X56) != esk12_1(X56)
| ~ rr(X56,X57)
| ~ cp3(X57)
| ~ rr(X56,X58)
| ~ cp4(X58)
| ~ cp(X58)
| ~ rr(X56,X59)
| ~ cp4(X59)
| ~ rr(X56,X60)
| ~ cp2(X60)
| ~ cp(X60)
| ~ rr(X56,X61)
| ~ cp5(X61)
| ~ rr(X56,X62)
| ~ cp(X62)
| ~ cp3(X62)
| ~ rr(X56,X63)
| ~ cp1(X63)
| ~ rr(X56,X69)
| ~ cp1(X69)
| ~ cp(X69)
| ~ rr(X56,X70)
| ~ cp2(X70)
| cUnsatisfiable(X56) )
& ( esk11_1(X56) != esk13_1(X56)
| ~ rr(X56,X57)
| ~ cp3(X57)
| ~ rr(X56,X58)
| ~ cp4(X58)
| ~ cp(X58)
| ~ rr(X56,X59)
| ~ cp4(X59)
| ~ rr(X56,X60)
| ~ cp2(X60)
| ~ cp(X60)
| ~ rr(X56,X61)
| ~ cp5(X61)
| ~ rr(X56,X62)
| ~ cp(X62)
| ~ cp3(X62)
| ~ rr(X56,X63)
| ~ cp1(X63)
| ~ rr(X56,X69)
| ~ cp1(X69)
| ~ cp(X69)
| ~ rr(X56,X70)
| ~ cp2(X70)
| cUnsatisfiable(X56) )
& ( esk11_1(X56) != esk14_1(X56)
| ~ rr(X56,X57)
| ~ cp3(X57)
| ~ rr(X56,X58)
| ~ cp4(X58)
| ~ cp(X58)
| ~ rr(X56,X59)
| ~ cp4(X59)
| ~ rr(X56,X60)
| ~ cp2(X60)
| ~ cp(X60)
| ~ rr(X56,X61)
| ~ cp5(X61)
| ~ rr(X56,X62)
| ~ cp(X62)
| ~ cp3(X62)
| ~ rr(X56,X63)
| ~ cp1(X63)
| ~ rr(X56,X69)
| ~ cp1(X69)
| ~ cp(X69)
| ~ rr(X56,X70)
| ~ cp2(X70)
| cUnsatisfiable(X56) )
& ( esk12_1(X56) != esk13_1(X56)
| ~ rr(X56,X57)
| ~ cp3(X57)
| ~ rr(X56,X58)
| ~ cp4(X58)
| ~ cp(X58)
| ~ rr(X56,X59)
| ~ cp4(X59)
| ~ rr(X56,X60)
| ~ cp2(X60)
| ~ cp(X60)
| ~ rr(X56,X61)
| ~ cp5(X61)
| ~ rr(X56,X62)
| ~ cp(X62)
| ~ cp3(X62)
| ~ rr(X56,X63)
| ~ cp1(X63)
| ~ rr(X56,X69)
| ~ cp1(X69)
| ~ cp(X69)
| ~ rr(X56,X70)
| ~ cp2(X70)
| cUnsatisfiable(X56) )
& ( esk12_1(X56) != esk14_1(X56)
| ~ rr(X56,X57)
| ~ cp3(X57)
| ~ rr(X56,X58)
| ~ cp4(X58)
| ~ cp(X58)
| ~ rr(X56,X59)
| ~ cp4(X59)
| ~ rr(X56,X60)
| ~ cp2(X60)
| ~ cp(X60)
| ~ rr(X56,X61)
| ~ cp5(X61)
| ~ rr(X56,X62)
| ~ cp(X62)
| ~ cp3(X62)
| ~ rr(X56,X63)
| ~ cp1(X63)
| ~ rr(X56,X69)
| ~ cp1(X69)
| ~ cp(X69)
| ~ rr(X56,X70)
| ~ cp2(X70)
| cUnsatisfiable(X56) )
& ( esk13_1(X56) != esk14_1(X56)
| ~ rr(X56,X57)
| ~ cp3(X57)
| ~ rr(X56,X58)
| ~ cp4(X58)
| ~ cp(X58)
| ~ rr(X56,X59)
| ~ cp4(X59)
| ~ rr(X56,X60)
| ~ cp2(X60)
| ~ cp(X60)
| ~ rr(X56,X61)
| ~ cp5(X61)
| ~ rr(X56,X62)
| ~ cp(X62)
| ~ cp3(X62)
| ~ rr(X56,X63)
| ~ cp1(X63)
| ~ rr(X56,X69)
| ~ cp1(X69)
| ~ cp(X69)
| ~ rr(X56,X70)
| ~ cp2(X70)
| cUnsatisfiable(X56) ) ),
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_7,plain,
( X2 = X3
| X2 = X4
| X2 = X5
| X2 = X6
| X3 = X4
| X3 = X5
| X3 = X6
| X4 = X5
| X4 = X6
| X5 = X6
| ~ rr(X1,X2)
| ~ rr(X1,X3)
| ~ rr(X1,X4)
| ~ rr(X1,X5)
| ~ rr(X1,X6)
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_8,plain,
( rr(X1,esk9_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_9,plain,
( X1 = esk9_1(X2)
| X3 = esk9_1(X2)
| X4 = esk9_1(X2)
| X5 = esk9_1(X2)
| X1 = X3
| X1 = X4
| X1 = X5
| X3 = X4
| X3 = X5
| X4 = X5
| ~ rr(X2,X5)
| ~ rr(X2,X4)
| ~ rr(X2,X3)
| ~ rr(X2,X1)
| ~ cUnsatisfiable(X2) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_10,plain,
( rr(X1,esk8_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_11,plain,
! [X4] :
( cp4(X4)
=> ~ cp5(X4) ),
inference(fof_simplification,[status(thm)],[axiom_6]) ).
cnf(c_0_12,plain,
( esk9_1(X1) = esk8_1(X1)
| X2 = esk8_1(X1)
| X3 = esk8_1(X1)
| X4 = esk8_1(X1)
| X2 = esk9_1(X1)
| X3 = esk9_1(X1)
| X4 = esk9_1(X1)
| X3 = X2
| X4 = X2
| X4 = X3
| ~ rr(X1,X2)
| ~ rr(X1,X3)
| ~ rr(X1,X4)
| ~ cUnsatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_13,plain,
( rr(X1,esk6_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_14,plain,
! [X74] :
( ~ cp4(X74)
| ~ cp5(X74) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])]) ).
cnf(c_0_15,plain,
( esk9_1(X1) = esk6_1(X1)
| esk8_1(X1) = esk6_1(X1)
| esk9_1(X1) = esk8_1(X1)
| X2 = esk6_1(X1)
| X3 = esk6_1(X1)
| X2 = esk9_1(X1)
| X3 = esk9_1(X1)
| X2 = esk8_1(X1)
| X3 = esk8_1(X1)
| X2 = X3
| ~ rr(X1,X3)
| ~ rr(X1,X2)
| ~ cUnsatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_16,plain,
( rr(X1,esk5_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_17,plain,
! [X72] :
( ( ~ cp4(X72)
| ~ cp2(X72) )
& ( ~ cp5(X72)
| ~ cp2(X72) )
& ( ~ cp3(X72)
| ~ cp2(X72) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_4])])]) ).
cnf(c_0_18,plain,
( ~ cp4(X1)
| ~ cp5(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_19,plain,
( cp5(esk5_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_20,plain,
( esk5_1(X1) = esk8_1(X1)
| esk5_1(X1) = esk9_1(X1)
| esk5_1(X1) = esk6_1(X1)
| esk9_1(X1) = esk8_1(X1)
| esk8_1(X1) = esk6_1(X1)
| esk9_1(X1) = esk6_1(X1)
| X2 = esk5_1(X1)
| X2 = esk8_1(X1)
| X2 = esk9_1(X1)
| X2 = esk6_1(X1)
| ~ rr(X1,X2)
| ~ cUnsatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_21,plain,
( rr(X1,esk3_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_22,plain,
! [X71] :
( ( ~ cp2(X71)
| ~ cp1(X71) )
& ( ~ cp4(X71)
| ~ cp1(X71) )
& ( ~ cp5(X71)
| ~ cp1(X71) )
& ( ~ cp3(X71)
| ~ cp1(X71) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_3])])]) ).
cnf(c_0_23,plain,
( ~ cp5(X1)
| ~ cp2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_24,plain,
( ~ cp4(esk5_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_25,plain,
( esk3_1(X1) = esk6_1(X1)
| esk3_1(X1) = esk9_1(X1)
| esk3_1(X1) = esk8_1(X1)
| esk5_1(X1) = esk3_1(X1)
| esk9_1(X1) = esk6_1(X1)
| esk8_1(X1) = esk6_1(X1)
| esk9_1(X1) = esk8_1(X1)
| esk5_1(X1) = esk6_1(X1)
| esk5_1(X1) = esk9_1(X1)
| esk5_1(X1) = esk8_1(X1)
| ~ cUnsatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_26,plain,
( cp4(esk3_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_27,plain,
! [X73] :
( ( ~ cp4(X73)
| ~ cp3(X73) )
& ( ~ cp5(X73)
| ~ cp3(X73) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_5])])]) ).
cnf(c_0_28,plain,
( ~ cp5(X1)
| ~ cp1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_29,plain,
( ~ cp2(esk5_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_23,c_0_19]) ).
cnf(c_0_30,plain,
( esk5_1(X1) = esk8_1(X1)
| esk5_1(X1) = esk9_1(X1)
| esk5_1(X1) = esk6_1(X1)
| esk9_1(X1) = esk8_1(X1)
| esk8_1(X1) = esk6_1(X1)
| esk9_1(X1) = esk6_1(X1)
| esk3_1(X1) = esk8_1(X1)
| esk3_1(X1) = esk9_1(X1)
| esk3_1(X1) = esk6_1(X1)
| ~ cUnsatisfiable(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]) ).
cnf(c_0_31,plain,
( cp2(esk9_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_32,plain,
( ~ cp5(X1)
| ~ cp3(X1) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_33,plain,
( ~ cp1(esk5_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_28,c_0_19]) ).
cnf(c_0_34,plain,
( esk3_1(X1) = esk6_1(X1)
| esk3_1(X1) = esk9_1(X1)
| esk3_1(X1) = esk8_1(X1)
| esk9_1(X1) = esk6_1(X1)
| esk8_1(X1) = esk6_1(X1)
| esk9_1(X1) = esk8_1(X1)
| esk5_1(X1) = esk6_1(X1)
| esk5_1(X1) = esk8_1(X1)
| ~ cUnsatisfiable(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31]) ).
cnf(c_0_35,plain,
( cp1(esk8_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_36,plain,
( ~ cp4(X1)
| ~ cp2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_37,plain,
( ~ cp3(esk5_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_32,c_0_19]) ).
cnf(c_0_38,plain,
( esk5_1(X1) = esk6_1(X1)
| esk9_1(X1) = esk8_1(X1)
| esk8_1(X1) = esk6_1(X1)
| esk9_1(X1) = esk6_1(X1)
| esk3_1(X1) = esk8_1(X1)
| esk3_1(X1) = esk9_1(X1)
| esk3_1(X1) = esk6_1(X1)
| ~ cUnsatisfiable(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_35]) ).
cnf(c_0_39,plain,
( cp3(esk6_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_40,plain,
( ~ cp4(X1)
| ~ cp1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_41,plain,
( ~ cp2(esk3_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_36,c_0_26]) ).
cnf(c_0_42,plain,
( esk3_1(X1) = esk6_1(X1)
| esk3_1(X1) = esk9_1(X1)
| esk3_1(X1) = esk8_1(X1)
| esk9_1(X1) = esk6_1(X1)
| esk8_1(X1) = esk6_1(X1)
| esk9_1(X1) = esk8_1(X1)
| ~ cUnsatisfiable(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_39]) ).
cnf(c_0_43,plain,
( ~ cp4(X1)
| ~ cp3(X1) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_44,plain,
( ~ cp1(esk3_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_40,c_0_26]) ).
cnf(c_0_45,plain,
( esk9_1(X1) = esk8_1(X1)
| esk8_1(X1) = esk6_1(X1)
| esk9_1(X1) = esk6_1(X1)
| esk3_1(X1) = esk8_1(X1)
| esk3_1(X1) = esk6_1(X1)
| ~ cUnsatisfiable(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_31]) ).
cnf(c_0_46,plain,
( ~ cp2(X1)
| ~ cp1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_47,plain,
( ~ cp3(esk3_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_43,c_0_26]) ).
cnf(c_0_48,plain,
( esk3_1(X1) = esk6_1(X1)
| esk9_1(X1) = esk6_1(X1)
| esk8_1(X1) = esk6_1(X1)
| esk9_1(X1) = esk8_1(X1)
| ~ cUnsatisfiable(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_35]) ).
cnf(c_0_49,plain,
( ~ cp1(esk9_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_46,c_0_31]) ).
cnf(c_0_50,plain,
( esk9_1(X1) = esk8_1(X1)
| esk8_1(X1) = esk6_1(X1)
| esk9_1(X1) = esk6_1(X1)
| ~ cUnsatisfiable(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_39]) ).
cnf(c_0_51,plain,
( ~ cp3(X1)
| ~ cp2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_52,plain,
( esk9_1(X1) = esk6_1(X1)
| esk8_1(X1) = esk6_1(X1)
| ~ cUnsatisfiable(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_35]) ).
cnf(c_0_53,plain,
( ~ cp2(esk6_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_51,c_0_39]) ).
cnf(c_0_54,plain,
( ~ cp3(X1)
| ~ cp1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_55,plain,
( esk8_1(X1) = esk6_1(X1)
| ~ cUnsatisfiable(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_52]),c_0_53]) ).
cnf(c_0_56,plain,
( ~ cp1(esk6_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_54,c_0_39]) ).
cnf(c_0_57,plain,
cUnsatisfiable(i2003_11_14_17_19_24236),
inference(split_conjunct,[status(thm)],[axiom_7]) ).
cnf(c_0_58,plain,
~ cUnsatisfiable(X1),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_55]),c_0_56]) ).
cnf(c_0_59,plain,
$false,
inference(sr,[status(thm)],[c_0_57,c_0_58]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : KRS081+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33 % Computer : n004.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Aug 28 01:33:07 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.18/0.55 start to proof: theBenchmark
% 0.18/0.62 % Version : CSE_E---1.5
% 0.18/0.62 % Problem : theBenchmark.p
% 0.18/0.62 % Proof found
% 0.18/0.62 % SZS status Theorem for theBenchmark.p
% 0.18/0.62 % SZS output start Proof
% See solution above
% 0.18/0.63 % Total time : 0.069000 s
% 0.18/0.63 % SZS output end Proof
% 0.18/0.63 % Total time : 0.072000 s
%------------------------------------------------------------------------------