%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : CSR215+1 : TPTP v9.2.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n007.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 : Tue May 5 04:16:10 PM UTC 2026
% Result : Theorem 65.72s 35.52s
% Output : CNFRefutation 65.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 14
% Syntax : Number of formulae : 63 ( 29 unt; 0 def)
% Number of atoms : 919 ( 4 equ)
% Maximal formula atoms : 149 ( 14 avg)
% Number of connectives : 1114 ( 258 ~; 525 |; 255 &)
% ( 11 <=>; 65 =>; 0 <=; 0 <~>)
% Maximal formula depth : 47 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-4 aty)
% Number of functors : 25 ( 25 usr; 11 con; 0-4 aty)
% Number of variables : 193 ( 5 sgn 158 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(predefinitionsA12,axiom,
! [X1,X2,X3] :
( ( p__d__instance(X1,X2)
& p__d__subclass(X2,X3) )
=> p__d__instance(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR006+0.ax',predefinitionsA12) ).
fof(mergeA3438,axiom,
p__d__subclass(c__DirectionalAttribute,c__PositionalAttribute),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR006+0.ax',mergeA3438) ).
fof(antonymPattern10007,conjecture,
! [X1,X2] :
( ( p__d__instance(X1,c__Object)
& p__d__instance(X2,c__Object) )
=> ( ( p__attribute(X1,c__North)
& p__attribute(X2,c__South) )
=> X1 != X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',antonymPattern10007) ).
fof(mergeA3437,axiom,
p__d__subclass(c__PositionalAttribute,c__RelationalAttribute),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR006+0.ax',mergeA3437) ).
fof(mergeA3445,axiom,
p__d__instance(c__West,c__DirectionalAttribute),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR006+0.ax',mergeA3445) ).
fof(mergeA3444,axiom,
p__d__instance(c__East,c__DirectionalAttribute),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR006+0.ax',mergeA3444) ).
fof(mergeA90,axiom,
( ! [X8,X9] :
( ( p__d__instance(X9,c__Attribute)
& p__d__instance(X8,c__Attribute) )
=> ( p__contraryAttribute2(X8,X9)
<=> ( ! [X27] :
( ( p__d__instance(X27,c__Object)
& p__attribute(X27,X8) )
=> ~ p__attribute(X27,X9) )
& ! [X27] :
( ( p__d__instance(X27,c__Object)
& p__attribute(X27,X9) )
=> ~ p__attribute(X27,X8) ) ) ) )
& ! [X8,X9,X10,X11] :
( ( p__d__instance(X11,c__Attribute)
& p__d__instance(X10,c__Attribute)
& p__d__instance(X9,c__Attribute)
& p__d__instance(X8,c__Attribute) )
=> ( p__contraryAttribute4(X8,X9,X10,X11)
<=> ( ! [X27] :
( ( p__d__instance(X27,c__Object)
& p__attribute(X27,X8) )
=> ~ p__attribute(X27,X9) )
& ! [X27] :
( ( p__d__instance(X27,c__Object)
& p__attribute(X27,X9) )
=> ~ p__attribute(X27,X8) )
& ! [X27] :
( ( p__d__instance(X27,c__Object)
& p__attribute(X27,X8) )
=> ~ p__attribute(X27,X10) )
& ! [X27] :
( ( p__d__instance(X27,c__Object)
& p__attribute(X27,X10) )
=> ~ p__attribute(X27,X8) )
& ! [X27] :
( ( p__d__instance(X27,c__Object)
& p__attribute(X27,X8) )
=> ~ p__attribute(X27,X11) )
& ! [X27] :
( ( p__d__instance(X27,c__Object)
& p__attribute(X27,X11) )
=> ~ p__attribute(X27,X8) )
& ! [X27] :
( ( p__d__instance(X27,c__Object)
& p__attribute(X27,X9) )
=> ~ p__attribute(X27,X10) )
& ! [X27] :
( ( p__d__instance(X27,c__Object)
& p__attribute(X27,X10) )
=> ~ p__attribute(X27,X9) )
& ! [X27] :
( ( p__d__instance(X27,c__Object)
& p__attribute(X27,X9) )
=> ~ p__attribute(X27,X11) )
& ! [X27] :
( ( p__d__instance(X27,c__Object)
& p__attribute(X27,X11) )
=> ~ p__attribute(X27,X9) )
& ! [X27] :
( ( p__d__instance(X27,c__Object)
& p__attribute(X27,X10) )
=> ~ p__attribute(X27,X11) )
& ! [X27] :
( ( p__d__instance(X27,c__Object)
& p__attribute(X27,X11) )
=> ~ p__attribute(X27,X10) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR006+0.ax',mergeA90) ).
fof(mergeA353,axiom,
p__d__subclass(c__RelationalAttribute,c__Attribute),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR006+0.ax',mergeA353) ).
fof(typeA68,axiom,
! [X1038,X1039] :
( p__attribute(X1038,X1039)
=> ( p__d__instance(X1039,c__Attribute)
& p__d__instance(X1038,c__Object) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR006+0.ax',typeA68) ).
fof(mergeA3441,axiom,
p__contraryAttribute4(c__North,c__South,c__East,c__West),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR006+0.ax',mergeA3441) ).
fof(c_0_10,plain,
! [X7777,X7778,X7779] :
( ~ p__d__instance(X7777,X7778)
| ~ p__d__subclass(X7778,X7779)
| p__d__instance(X7777,X7779) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[predefinitionsA12])]) ).
cnf(c_0_11,plain,
( p__d__instance(X1,X3)
| ~ p__d__instance(X1,X2)
| ~ p__d__subclass(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_12,plain,
p__d__subclass(c__DirectionalAttribute,c__PositionalAttribute),
inference(split_conjunct,[status(thm)],[mergeA3438]) ).
fof(c_0_13,negated_conjecture,
~ ! [X1,X2] :
( ( p__d__instance(X1,c__Object)
& p__d__instance(X2,c__Object) )
=> ( ( p__attribute(X1,c__North)
& p__attribute(X2,c__South) )
=> X1 != X2 ) ),
inference(assume_negation,[status(cth)],[antonymPattern10007]) ).
fof(c_0_14,plain,
! [X8,X9,X11,X10] :
( epred4_4(X10,X11,X9,X8)
<=> ( ! [X27] :
( ( p__d__instance(X27,c__Object)
& p__attribute(X27,X8) )
=> ~ p__attribute(X27,X9) )
& ! [X27] :
( ( p__d__instance(X27,c__Object)
& p__attribute(X27,X9) )
=> ~ p__attribute(X27,X8) )
& ! [X27] :
( ( p__d__instance(X27,c__Object)
& p__attribute(X27,X8) )
=> ~ p__attribute(X27,X10) )
& ! [X27] :
( ( p__d__instance(X27,c__Object)
& p__attribute(X27,X10) )
=> ~ p__attribute(X27,X8) )
& ! [X27] :
( ( p__d__instance(X27,c__Object)
& p__attribute(X27,X8) )
=> ~ p__attribute(X27,X11) )
& ! [X27] :
( ( p__d__instance(X27,c__Object)
& p__attribute(X27,X11) )
=> ~ p__attribute(X27,X8) )
& ! [X27] :
( ( p__d__instance(X27,c__Object)
& p__attribute(X27,X9) )
=> ~ p__attribute(X27,X10) )
& ! [X27] :
( ( p__d__instance(X27,c__Object)
& p__attribute(X27,X10) )
=> ~ p__attribute(X27,X9) )
& ! [X27] :
( ( p__d__instance(X27,c__Object)
& p__attribute(X27,X9) )
=> ~ p__attribute(X27,X11) )
& ! [X27] :
( ( p__d__instance(X27,c__Object)
& p__attribute(X27,X11) )
=> ~ p__attribute(X27,X9) )
& ! [X27] :
( ( p__d__instance(X27,c__Object)
& p__attribute(X27,X10) )
=> ~ p__attribute(X27,X11) )
& ! [X27] :
( ( p__d__instance(X27,c__Object)
& p__attribute(X27,X11) )
=> ~ p__attribute(X27,X10) ) ) ),
introduced(definition) ).
cnf(c_0_15,plain,
p__d__subclass(c__PositionalAttribute,c__RelationalAttribute),
inference(split_conjunct,[status(thm)],[mergeA3437]) ).
cnf(c_0_16,plain,
( p__d__instance(X1,c__PositionalAttribute)
| ~ p__d__instance(X1,c__DirectionalAttribute) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_17,plain,
p__d__instance(c__West,c__DirectionalAttribute),
inference(split_conjunct,[status(thm)],[mergeA3445]) ).
cnf(c_0_18,plain,
p__d__instance(c__East,c__DirectionalAttribute),
inference(split_conjunct,[status(thm)],[mergeA3444]) ).
fof(c_0_19,negated_conjecture,
( p__d__instance(esk1216_0,c__Object)
& p__d__instance(esk1217_0,c__Object)
& p__attribute(esk1216_0,c__North)
& p__attribute(esk1217_0,c__South)
& esk1216_0 = esk1217_0 ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])]) ).
fof(c_0_20,plain,
! [X8,X9,X10,X11] :
( epred3_4(X11,X10,X9,X8)
<=> ( ! [X27] :
( ( p__d__instance(X27,c__Object)
& p__attribute(X27,X8) )
=> ~ p__attribute(X27,X9) )
& ! [X27] :
( ( p__d__instance(X27,c__Object)
& p__attribute(X27,X9) )
=> ~ p__attribute(X27,X8) )
& ! [X27] :
( ( p__d__instance(X27,c__Object)
& p__attribute(X27,X8) )
=> ~ p__attribute(X27,X10) )
& ! [X27] :
( ( p__d__instance(X27,c__Object)
& p__attribute(X27,X10) )
=> ~ p__attribute(X27,X8) )
& ! [X27] :
( ( p__d__instance(X27,c__Object)
& p__attribute(X27,X8) )
=> ~ p__attribute(X27,X11) )
& ! [X27] :
( ( p__d__instance(X27,c__Object)
& p__attribute(X27,X11) )
=> ~ p__attribute(X27,X8) )
& ! [X27] :
( ( p__d__instance(X27,c__Object)
& p__attribute(X27,X9) )
=> ~ p__attribute(X27,X10) )
& ! [X27] :
( ( p__d__instance(X27,c__Object)
& p__attribute(X27,X10) )
=> ~ p__attribute(X27,X9) )
& ! [X27] :
( ( p__d__instance(X27,c__Object)
& p__attribute(X27,X9) )
=> ~ p__attribute(X27,X11) ) ) ),
introduced(definition) ).
fof(c_0_21,plain,
( ! [X8,X9] :
( ( p__d__instance(X9,c__Attribute)
& p__d__instance(X8,c__Attribute) )
=> ( p__contraryAttribute2(X8,X9)
<=> ( ! [X27] :
( ( p__d__instance(X27,c__Object)
& p__attribute(X27,X8) )
=> ~ p__attribute(X27,X9) )
& ! [X27] :
( ( p__d__instance(X27,c__Object)
& p__attribute(X27,X9) )
=> ~ p__attribute(X27,X8) ) ) ) )
& ! [X8,X9,X10,X11] :
( ( p__d__instance(X11,c__Attribute)
& p__d__instance(X10,c__Attribute)
& p__d__instance(X9,c__Attribute)
& p__d__instance(X8,c__Attribute) )
=> ( p__contraryAttribute4(X8,X9,X10,X11)
<=> epred4_4(X10,X11,X9,X8) ) ) ),
inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[mergeA90]),c_0_14]) ).
cnf(c_0_22,plain,
p__d__subclass(c__RelationalAttribute,c__Attribute),
inference(split_conjunct,[status(thm)],[mergeA353]) ).
cnf(c_0_23,plain,
( p__d__instance(X1,c__RelationalAttribute)
| ~ p__d__instance(X1,c__PositionalAttribute) ),
inference(spm,[status(thm)],[c_0_11,c_0_15]) ).
cnf(c_0_24,plain,
p__d__instance(c__West,c__PositionalAttribute),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_25,plain,
p__d__instance(c__East,c__PositionalAttribute),
inference(spm,[status(thm)],[c_0_16,c_0_18]) ).
fof(c_0_26,plain,
! [X13470,X13471] :
( ( p__d__instance(X13471,c__Attribute)
| ~ p__attribute(X13470,X13471) )
& ( p__d__instance(X13470,c__Object)
| ~ p__attribute(X13470,X13471) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[typeA68])])]) ).
cnf(c_0_27,negated_conjecture,
p__attribute(esk1217_0,c__South),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_28,negated_conjecture,
esk1216_0 = esk1217_0,
inference(split_conjunct,[status(thm)],[c_0_19]) ).
fof(c_0_29,plain,
! [X11,X10,X9,X8] :
( epred2_4(X8,X10,X11,X9)
<=> ( ! [X27] :
( ( p__d__instance(X27,c__Object)
& p__attribute(X27,X8) )
=> ~ p__attribute(X27,X9) )
& ! [X27] :
( ( p__d__instance(X27,c__Object)
& p__attribute(X27,X9) )
=> ~ p__attribute(X27,X8) )
& ! [X27] :
( ( p__d__instance(X27,c__Object)
& p__attribute(X27,X8) )
=> ~ p__attribute(X27,X10) )
& ! [X27] :
( ( p__d__instance(X27,c__Object)
& p__attribute(X27,X10) )
=> ~ p__attribute(X27,X8) )
& ! [X27] :
( ( p__d__instance(X27,c__Object)
& p__attribute(X27,X8) )
=> ~ p__attribute(X27,X11) )
& ! [X27] :
( ( p__d__instance(X27,c__Object)
& p__attribute(X27,X11) )
=> ~ p__attribute(X27,X8) ) ) ),
introduced(definition) ).
fof(c_0_30,plain,
! [X8,X9,X11,X10] :
( epred4_4(X10,X11,X9,X8)
<=> ( epred3_4(X11,X10,X9,X8)
& ! [X27] :
( ( p__d__instance(X27,c__Object)
& p__attribute(X27,X11) )
=> ~ p__attribute(X27,X9) )
& ! [X27] :
( ( p__d__instance(X27,c__Object)
& p__attribute(X27,X10) )
=> ~ p__attribute(X27,X11) )
& ! [X27] :
( ( p__d__instance(X27,c__Object)
& p__attribute(X27,X11) )
=> ~ p__attribute(X27,X10) ) ) ),
inference(apply_def,[status(thm)],[c_0_14,c_0_20]) ).
fof(c_0_31,plain,
! [X7963,X7964,X7965,X7966,X7969,X7970,X7971,X7972] :
( ( ~ p__d__instance(X7965,c__Object)
| ~ p__attribute(X7965,X7963)
| ~ p__attribute(X7965,X7964)
| ~ p__contraryAttribute2(X7963,X7964)
| ~ p__d__instance(X7964,c__Attribute)
| ~ p__d__instance(X7963,c__Attribute) )
& ( ~ p__d__instance(X7966,c__Object)
| ~ p__attribute(X7966,X7964)
| ~ p__attribute(X7966,X7963)
| ~ p__contraryAttribute2(X7963,X7964)
| ~ p__d__instance(X7964,c__Attribute)
| ~ p__d__instance(X7963,c__Attribute) )
& ( p__d__instance(esk9_2(X7963,X7964),c__Object)
| p__d__instance(esk8_2(X7963,X7964),c__Object)
| p__contraryAttribute2(X7963,X7964)
| ~ p__d__instance(X7964,c__Attribute)
| ~ p__d__instance(X7963,c__Attribute) )
& ( p__attribute(esk9_2(X7963,X7964),X7964)
| p__d__instance(esk8_2(X7963,X7964),c__Object)
| p__contraryAttribute2(X7963,X7964)
| ~ p__d__instance(X7964,c__Attribute)
| ~ p__d__instance(X7963,c__Attribute) )
& ( p__attribute(esk9_2(X7963,X7964),X7963)
| p__d__instance(esk8_2(X7963,X7964),c__Object)
| p__contraryAttribute2(X7963,X7964)
| ~ p__d__instance(X7964,c__Attribute)
| ~ p__d__instance(X7963,c__Attribute) )
& ( p__d__instance(esk9_2(X7963,X7964),c__Object)
| p__attribute(esk8_2(X7963,X7964),X7963)
| p__contraryAttribute2(X7963,X7964)
| ~ p__d__instance(X7964,c__Attribute)
| ~ p__d__instance(X7963,c__Attribute) )
& ( p__attribute(esk9_2(X7963,X7964),X7964)
| p__attribute(esk8_2(X7963,X7964),X7963)
| p__contraryAttribute2(X7963,X7964)
| ~ p__d__instance(X7964,c__Attribute)
| ~ p__d__instance(X7963,c__Attribute) )
& ( p__attribute(esk9_2(X7963,X7964),X7963)
| p__attribute(esk8_2(X7963,X7964),X7963)
| p__contraryAttribute2(X7963,X7964)
| ~ p__d__instance(X7964,c__Attribute)
| ~ p__d__instance(X7963,c__Attribute) )
& ( p__d__instance(esk9_2(X7963,X7964),c__Object)
| p__attribute(esk8_2(X7963,X7964),X7964)
| p__contraryAttribute2(X7963,X7964)
| ~ p__d__instance(X7964,c__Attribute)
| ~ p__d__instance(X7963,c__Attribute) )
& ( p__attribute(esk9_2(X7963,X7964),X7964)
| p__attribute(esk8_2(X7963,X7964),X7964)
| p__contraryAttribute2(X7963,X7964)
| ~ p__d__instance(X7964,c__Attribute)
| ~ p__d__instance(X7963,c__Attribute) )
& ( p__attribute(esk9_2(X7963,X7964),X7963)
| p__attribute(esk8_2(X7963,X7964),X7964)
| p__contraryAttribute2(X7963,X7964)
| ~ p__d__instance(X7964,c__Attribute)
| ~ p__d__instance(X7963,c__Attribute) )
& ( ~ p__contraryAttribute4(X7969,X7970,X7971,X7972)
| epred4_4(X7971,X7972,X7970,X7969)
| ~ p__d__instance(X7972,c__Attribute)
| ~ p__d__instance(X7971,c__Attribute)
| ~ p__d__instance(X7970,c__Attribute)
| ~ p__d__instance(X7969,c__Attribute) )
& ( ~ epred4_4(X7971,X7972,X7970,X7969)
| p__contraryAttribute4(X7969,X7970,X7971,X7972)
| ~ p__d__instance(X7972,c__Attribute)
| ~ p__d__instance(X7971,c__Attribute)
| ~ p__d__instance(X7970,c__Attribute)
| ~ p__d__instance(X7969,c__Attribute) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])])])])]) ).
cnf(c_0_32,plain,
( p__d__instance(X1,c__Attribute)
| ~ p__d__instance(X1,c__RelationalAttribute) ),
inference(spm,[status(thm)],[c_0_11,c_0_22]) ).
cnf(c_0_33,plain,
p__d__instance(c__West,c__RelationalAttribute),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_34,plain,
p__d__instance(c__East,c__RelationalAttribute),
inference(spm,[status(thm)],[c_0_23,c_0_25]) ).
cnf(c_0_35,plain,
( p__d__instance(X1,c__Attribute)
| ~ p__attribute(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_36,negated_conjecture,
p__attribute(esk1216_0,c__South),
inference(rw,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_37,negated_conjecture,
p__attribute(esk1216_0,c__North),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
fof(c_0_38,plain,
! [X8,X9,X10] :
( epred1_3(X10,X9,X8)
<=> ( ! [X27] :
( ( p__d__instance(X27,c__Object)
& p__attribute(X27,X8) )
=> ~ p__attribute(X27,X9) )
& ! [X27] :
( ( p__d__instance(X27,c__Object)
& p__attribute(X27,X9) )
=> ~ p__attribute(X27,X8) )
& ! [X27] :
( ( p__d__instance(X27,c__Object)
& p__attribute(X27,X8) )
=> ~ p__attribute(X27,X10) ) ) ),
introduced(definition) ).
fof(c_0_39,plain,
! [X8,X9,X10,X11] :
( epred3_4(X11,X10,X9,X8)
<=> ( epred2_4(X8,X10,X11,X9)
& ! [X27] :
( ( p__d__instance(X27,c__Object)
& p__attribute(X27,X9) )
=> ~ p__attribute(X27,X10) )
& ! [X27] :
( ( p__d__instance(X27,c__Object)
& p__attribute(X27,X10) )
=> ~ p__attribute(X27,X9) )
& ! [X27] :
( ( p__d__instance(X27,c__Object)
& p__attribute(X27,X9) )
=> ~ p__attribute(X27,X11) ) ) ),
inference(apply_def,[status(thm)],[c_0_20,c_0_29]) ).
fof(c_0_40,plain,
! [X14650,X14651,X14652,X14653,X14654,X14655,X14656,X14657,X14658,X14659,X14660] :
( ( epred3_4(X14652,X14653,X14651,X14650)
| ~ epred4_4(X14653,X14652,X14651,X14650) )
& ( ~ p__d__instance(X14654,c__Object)
| ~ p__attribute(X14654,X14652)
| ~ p__attribute(X14654,X14651)
| ~ epred4_4(X14653,X14652,X14651,X14650) )
& ( ~ p__d__instance(X14655,c__Object)
| ~ p__attribute(X14655,X14653)
| ~ p__attribute(X14655,X14652)
| ~ epred4_4(X14653,X14652,X14651,X14650) )
& ( ~ p__d__instance(X14656,c__Object)
| ~ p__attribute(X14656,X14652)
| ~ p__attribute(X14656,X14653)
| ~ epred4_4(X14653,X14652,X14651,X14650) )
& ( p__d__instance(esk1229_4(X14657,X14658,X14659,X14660),c__Object)
| p__d__instance(esk1228_4(X14657,X14658,X14659,X14660),c__Object)
| p__d__instance(esk1227_4(X14657,X14658,X14659,X14660),c__Object)
| ~ epred3_4(X14659,X14660,X14658,X14657)
| epred4_4(X14660,X14659,X14658,X14657) )
& ( p__attribute(esk1229_4(X14657,X14658,X14659,X14660),X14659)
| p__d__instance(esk1228_4(X14657,X14658,X14659,X14660),c__Object)
| p__d__instance(esk1227_4(X14657,X14658,X14659,X14660),c__Object)
| ~ epred3_4(X14659,X14660,X14658,X14657)
| epred4_4(X14660,X14659,X14658,X14657) )
& ( p__attribute(esk1229_4(X14657,X14658,X14659,X14660),X14660)
| p__d__instance(esk1228_4(X14657,X14658,X14659,X14660),c__Object)
| p__d__instance(esk1227_4(X14657,X14658,X14659,X14660),c__Object)
| ~ epred3_4(X14659,X14660,X14658,X14657)
| epred4_4(X14660,X14659,X14658,X14657) )
& ( p__d__instance(esk1229_4(X14657,X14658,X14659,X14660),c__Object)
| p__attribute(esk1228_4(X14657,X14658,X14659,X14660),X14660)
| p__d__instance(esk1227_4(X14657,X14658,X14659,X14660),c__Object)
| ~ epred3_4(X14659,X14660,X14658,X14657)
| epred4_4(X14660,X14659,X14658,X14657) )
& ( p__attribute(esk1229_4(X14657,X14658,X14659,X14660),X14659)
| p__attribute(esk1228_4(X14657,X14658,X14659,X14660),X14660)
| p__d__instance(esk1227_4(X14657,X14658,X14659,X14660),c__Object)
| ~ epred3_4(X14659,X14660,X14658,X14657)
| epred4_4(X14660,X14659,X14658,X14657) )
& ( p__attribute(esk1229_4(X14657,X14658,X14659,X14660),X14660)
| p__attribute(esk1228_4(X14657,X14658,X14659,X14660),X14660)
| p__d__instance(esk1227_4(X14657,X14658,X14659,X14660),c__Object)
| ~ epred3_4(X14659,X14660,X14658,X14657)
| epred4_4(X14660,X14659,X14658,X14657) )
& ( p__d__instance(esk1229_4(X14657,X14658,X14659,X14660),c__Object)
| p__attribute(esk1228_4(X14657,X14658,X14659,X14660),X14659)
| p__d__instance(esk1227_4(X14657,X14658,X14659,X14660),c__Object)
| ~ epred3_4(X14659,X14660,X14658,X14657)
| epred4_4(X14660,X14659,X14658,X14657) )
& ( p__attribute(esk1229_4(X14657,X14658,X14659,X14660),X14659)
| p__attribute(esk1228_4(X14657,X14658,X14659,X14660),X14659)
| p__d__instance(esk1227_4(X14657,X14658,X14659,X14660),c__Object)
| ~ epred3_4(X14659,X14660,X14658,X14657)
| epred4_4(X14660,X14659,X14658,X14657) )
& ( p__attribute(esk1229_4(X14657,X14658,X14659,X14660),X14660)
| p__attribute(esk1228_4(X14657,X14658,X14659,X14660),X14659)
| p__d__instance(esk1227_4(X14657,X14658,X14659,X14660),c__Object)
| ~ epred3_4(X14659,X14660,X14658,X14657)
| epred4_4(X14660,X14659,X14658,X14657) )
& ( p__d__instance(esk1229_4(X14657,X14658,X14659,X14660),c__Object)
| p__d__instance(esk1228_4(X14657,X14658,X14659,X14660),c__Object)
| p__attribute(esk1227_4(X14657,X14658,X14659,X14660),X14659)
| ~ epred3_4(X14659,X14660,X14658,X14657)
| epred4_4(X14660,X14659,X14658,X14657) )
& ( p__attribute(esk1229_4(X14657,X14658,X14659,X14660),X14659)
| p__d__instance(esk1228_4(X14657,X14658,X14659,X14660),c__Object)
| p__attribute(esk1227_4(X14657,X14658,X14659,X14660),X14659)
| ~ epred3_4(X14659,X14660,X14658,X14657)
| epred4_4(X14660,X14659,X14658,X14657) )
& ( p__attribute(esk1229_4(X14657,X14658,X14659,X14660),X14660)
| p__d__instance(esk1228_4(X14657,X14658,X14659,X14660),c__Object)
| p__attribute(esk1227_4(X14657,X14658,X14659,X14660),X14659)
| ~ epred3_4(X14659,X14660,X14658,X14657)
| epred4_4(X14660,X14659,X14658,X14657) )
& ( p__d__instance(esk1229_4(X14657,X14658,X14659,X14660),c__Object)
| p__attribute(esk1228_4(X14657,X14658,X14659,X14660),X14660)
| p__attribute(esk1227_4(X14657,X14658,X14659,X14660),X14659)
| ~ epred3_4(X14659,X14660,X14658,X14657)
| epred4_4(X14660,X14659,X14658,X14657) )
& ( p__attribute(esk1229_4(X14657,X14658,X14659,X14660),X14659)
| p__attribute(esk1228_4(X14657,X14658,X14659,X14660),X14660)
| p__attribute(esk1227_4(X14657,X14658,X14659,X14660),X14659)
| ~ epred3_4(X14659,X14660,X14658,X14657)
| epred4_4(X14660,X14659,X14658,X14657) )
& ( p__attribute(esk1229_4(X14657,X14658,X14659,X14660),X14660)
| p__attribute(esk1228_4(X14657,X14658,X14659,X14660),X14660)
| p__attribute(esk1227_4(X14657,X14658,X14659,X14660),X14659)
| ~ epred3_4(X14659,X14660,X14658,X14657)
| epred4_4(X14660,X14659,X14658,X14657) )
& ( p__d__instance(esk1229_4(X14657,X14658,X14659,X14660),c__Object)
| p__attribute(esk1228_4(X14657,X14658,X14659,X14660),X14659)
| p__attribute(esk1227_4(X14657,X14658,X14659,X14660),X14659)
| ~ epred3_4(X14659,X14660,X14658,X14657)
| epred4_4(X14660,X14659,X14658,X14657) )
& ( p__attribute(esk1229_4(X14657,X14658,X14659,X14660),X14659)
| p__attribute(esk1228_4(X14657,X14658,X14659,X14660),X14659)
| p__attribute(esk1227_4(X14657,X14658,X14659,X14660),X14659)
| ~ epred3_4(X14659,X14660,X14658,X14657)
| epred4_4(X14660,X14659,X14658,X14657) )
& ( p__attribute(esk1229_4(X14657,X14658,X14659,X14660),X14660)
| p__attribute(esk1228_4(X14657,X14658,X14659,X14660),X14659)
| p__attribute(esk1227_4(X14657,X14658,X14659,X14660),X14659)
| ~ epred3_4(X14659,X14660,X14658,X14657)
| epred4_4(X14660,X14659,X14658,X14657) )
& ( p__d__instance(esk1229_4(X14657,X14658,X14659,X14660),c__Object)
| p__d__instance(esk1228_4(X14657,X14658,X14659,X14660),c__Object)
| p__attribute(esk1227_4(X14657,X14658,X14659,X14660),X14658)
| ~ epred3_4(X14659,X14660,X14658,X14657)
| epred4_4(X14660,X14659,X14658,X14657) )
& ( p__attribute(esk1229_4(X14657,X14658,X14659,X14660),X14659)
| p__d__instance(esk1228_4(X14657,X14658,X14659,X14660),c__Object)
| p__attribute(esk1227_4(X14657,X14658,X14659,X14660),X14658)
| ~ epred3_4(X14659,X14660,X14658,X14657)
| epred4_4(X14660,X14659,X14658,X14657) )
& ( p__attribute(esk1229_4(X14657,X14658,X14659,X14660),X14660)
| p__d__instance(esk1228_4(X14657,X14658,X14659,X14660),c__Object)
| p__attribute(esk1227_4(X14657,X14658,X14659,X14660),X14658)
| ~ epred3_4(X14659,X14660,X14658,X14657)
| epred4_4(X14660,X14659,X14658,X14657) )
& ( p__d__instance(esk1229_4(X14657,X14658,X14659,X14660),c__Object)
| p__attribute(esk1228_4(X14657,X14658,X14659,X14660),X14660)
| p__attribute(esk1227_4(X14657,X14658,X14659,X14660),X14658)
| ~ epred3_4(X14659,X14660,X14658,X14657)
| epred4_4(X14660,X14659,X14658,X14657) )
& ( p__attribute(esk1229_4(X14657,X14658,X14659,X14660),X14659)
| p__attribute(esk1228_4(X14657,X14658,X14659,X14660),X14660)
| p__attribute(esk1227_4(X14657,X14658,X14659,X14660),X14658)
| ~ epred3_4(X14659,X14660,X14658,X14657)
| epred4_4(X14660,X14659,X14658,X14657) )
& ( p__attribute(esk1229_4(X14657,X14658,X14659,X14660),X14660)
| p__attribute(esk1228_4(X14657,X14658,X14659,X14660),X14660)
| p__attribute(esk1227_4(X14657,X14658,X14659,X14660),X14658)
| ~ epred3_4(X14659,X14660,X14658,X14657)
| epred4_4(X14660,X14659,X14658,X14657) )
& ( p__d__instance(esk1229_4(X14657,X14658,X14659,X14660),c__Object)
| p__attribute(esk1228_4(X14657,X14658,X14659,X14660),X14659)
| p__attribute(esk1227_4(X14657,X14658,X14659,X14660),X14658)
| ~ epred3_4(X14659,X14660,X14658,X14657)
| epred4_4(X14660,X14659,X14658,X14657) )
& ( p__attribute(esk1229_4(X14657,X14658,X14659,X14660),X14659)
| p__attribute(esk1228_4(X14657,X14658,X14659,X14660),X14659)
| p__attribute(esk1227_4(X14657,X14658,X14659,X14660),X14658)
| ~ epred3_4(X14659,X14660,X14658,X14657)
| epred4_4(X14660,X14659,X14658,X14657) )
& ( p__attribute(esk1229_4(X14657,X14658,X14659,X14660),X14660)
| p__attribute(esk1228_4(X14657,X14658,X14659,X14660),X14659)
| p__attribute(esk1227_4(X14657,X14658,X14659,X14660),X14658)
| ~ epred3_4(X14659,X14660,X14658,X14657)
| epred4_4(X14660,X14659,X14658,X14657) ) ),
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)],[c_0_30])])])])])]) ).
cnf(c_0_41,plain,
( epred4_4(X3,X4,X2,X1)
| ~ p__contraryAttribute4(X1,X2,X3,X4)
| ~ p__d__instance(X4,c__Attribute)
| ~ p__d__instance(X3,c__Attribute)
| ~ p__d__instance(X2,c__Attribute)
| ~ p__d__instance(X1,c__Attribute) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_42,plain,
p__contraryAttribute4(c__North,c__South,c__East,c__West),
inference(split_conjunct,[status(thm)],[mergeA3441]) ).
cnf(c_0_43,plain,
p__d__instance(c__West,c__Attribute),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_44,plain,
p__d__instance(c__East,c__Attribute),
inference(spm,[status(thm)],[c_0_32,c_0_34]) ).
cnf(c_0_45,negated_conjecture,
p__d__instance(c__South,c__Attribute),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_46,negated_conjecture,
p__d__instance(c__North,c__Attribute),
inference(spm,[status(thm)],[c_0_35,c_0_37]) ).
fof(c_0_47,plain,
! [X11,X10,X9,X8] :
( epred2_4(X8,X10,X11,X9)
<=> ( epred1_3(X10,X9,X8)
& ! [X27] :
( ( p__d__instance(X27,c__Object)
& p__attribute(X27,X10) )
=> ~ p__attribute(X27,X8) )
& ! [X27] :
( ( p__d__instance(X27,c__Object)
& p__attribute(X27,X8) )
=> ~ p__attribute(X27,X11) )
& ! [X27] :
( ( p__d__instance(X27,c__Object)
& p__attribute(X27,X11) )
=> ~ p__attribute(X27,X8) ) ) ),
inference(apply_def,[status(thm)],[c_0_29,c_0_38]) ).
fof(c_0_48,plain,
! [X14636,X14637,X14638,X14639,X14640,X14641,X14642,X14643,X14644,X14645,X14646] :
( ( epred2_4(X14636,X14638,X14639,X14637)
| ~ epred3_4(X14639,X14638,X14637,X14636) )
& ( ~ p__d__instance(X14640,c__Object)
| ~ p__attribute(X14640,X14637)
| ~ p__attribute(X14640,X14638)
| ~ epred3_4(X14639,X14638,X14637,X14636) )
& ( ~ p__d__instance(X14641,c__Object)
| ~ p__attribute(X14641,X14638)
| ~ p__attribute(X14641,X14637)
| ~ epred3_4(X14639,X14638,X14637,X14636) )
& ( ~ p__d__instance(X14642,c__Object)
| ~ p__attribute(X14642,X14637)
| ~ p__attribute(X14642,X14639)
| ~ epred3_4(X14639,X14638,X14637,X14636) )
& ( p__d__instance(esk1226_4(X14643,X14644,X14645,X14646),c__Object)
| p__d__instance(esk1225_4(X14643,X14644,X14645,X14646),c__Object)
| p__d__instance(esk1224_4(X14643,X14644,X14645,X14646),c__Object)
| ~ epred2_4(X14643,X14645,X14646,X14644)
| epred3_4(X14646,X14645,X14644,X14643) )
& ( p__attribute(esk1226_4(X14643,X14644,X14645,X14646),X14644)
| p__d__instance(esk1225_4(X14643,X14644,X14645,X14646),c__Object)
| p__d__instance(esk1224_4(X14643,X14644,X14645,X14646),c__Object)
| ~ epred2_4(X14643,X14645,X14646,X14644)
| epred3_4(X14646,X14645,X14644,X14643) )
& ( p__attribute(esk1226_4(X14643,X14644,X14645,X14646),X14646)
| p__d__instance(esk1225_4(X14643,X14644,X14645,X14646),c__Object)
| p__d__instance(esk1224_4(X14643,X14644,X14645,X14646),c__Object)
| ~ epred2_4(X14643,X14645,X14646,X14644)
| epred3_4(X14646,X14645,X14644,X14643) )
& ( p__d__instance(esk1226_4(X14643,X14644,X14645,X14646),c__Object)
| p__attribute(esk1225_4(X14643,X14644,X14645,X14646),X14645)
| p__d__instance(esk1224_4(X14643,X14644,X14645,X14646),c__Object)
| ~ epred2_4(X14643,X14645,X14646,X14644)
| epred3_4(X14646,X14645,X14644,X14643) )
& ( p__attribute(esk1226_4(X14643,X14644,X14645,X14646),X14644)
| p__attribute(esk1225_4(X14643,X14644,X14645,X14646),X14645)
| p__d__instance(esk1224_4(X14643,X14644,X14645,X14646),c__Object)
| ~ epred2_4(X14643,X14645,X14646,X14644)
| epred3_4(X14646,X14645,X14644,X14643) )
& ( p__attribute(esk1226_4(X14643,X14644,X14645,X14646),X14646)
| p__attribute(esk1225_4(X14643,X14644,X14645,X14646),X14645)
| p__d__instance(esk1224_4(X14643,X14644,X14645,X14646),c__Object)
| ~ epred2_4(X14643,X14645,X14646,X14644)
| epred3_4(X14646,X14645,X14644,X14643) )
& ( p__d__instance(esk1226_4(X14643,X14644,X14645,X14646),c__Object)
| p__attribute(esk1225_4(X14643,X14644,X14645,X14646),X14644)
| p__d__instance(esk1224_4(X14643,X14644,X14645,X14646),c__Object)
| ~ epred2_4(X14643,X14645,X14646,X14644)
| epred3_4(X14646,X14645,X14644,X14643) )
& ( p__attribute(esk1226_4(X14643,X14644,X14645,X14646),X14644)
| p__attribute(esk1225_4(X14643,X14644,X14645,X14646),X14644)
| p__d__instance(esk1224_4(X14643,X14644,X14645,X14646),c__Object)
| ~ epred2_4(X14643,X14645,X14646,X14644)
| epred3_4(X14646,X14645,X14644,X14643) )
& ( p__attribute(esk1226_4(X14643,X14644,X14645,X14646),X14646)
| p__attribute(esk1225_4(X14643,X14644,X14645,X14646),X14644)
| p__d__instance(esk1224_4(X14643,X14644,X14645,X14646),c__Object)
| ~ epred2_4(X14643,X14645,X14646,X14644)
| epred3_4(X14646,X14645,X14644,X14643) )
& ( p__d__instance(esk1226_4(X14643,X14644,X14645,X14646),c__Object)
| p__d__instance(esk1225_4(X14643,X14644,X14645,X14646),c__Object)
| p__attribute(esk1224_4(X14643,X14644,X14645,X14646),X14644)
| ~ epred2_4(X14643,X14645,X14646,X14644)
| epred3_4(X14646,X14645,X14644,X14643) )
& ( p__attribute(esk1226_4(X14643,X14644,X14645,X14646),X14644)
| p__d__instance(esk1225_4(X14643,X14644,X14645,X14646),c__Object)
| p__attribute(esk1224_4(X14643,X14644,X14645,X14646),X14644)
| ~ epred2_4(X14643,X14645,X14646,X14644)
| epred3_4(X14646,X14645,X14644,X14643) )
& ( p__attribute(esk1226_4(X14643,X14644,X14645,X14646),X14646)
| p__d__instance(esk1225_4(X14643,X14644,X14645,X14646),c__Object)
| p__attribute(esk1224_4(X14643,X14644,X14645,X14646),X14644)
| ~ epred2_4(X14643,X14645,X14646,X14644)
| epred3_4(X14646,X14645,X14644,X14643) )
& ( p__d__instance(esk1226_4(X14643,X14644,X14645,X14646),c__Object)
| p__attribute(esk1225_4(X14643,X14644,X14645,X14646),X14645)
| p__attribute(esk1224_4(X14643,X14644,X14645,X14646),X14644)
| ~ epred2_4(X14643,X14645,X14646,X14644)
| epred3_4(X14646,X14645,X14644,X14643) )
& ( p__attribute(esk1226_4(X14643,X14644,X14645,X14646),X14644)
| p__attribute(esk1225_4(X14643,X14644,X14645,X14646),X14645)
| p__attribute(esk1224_4(X14643,X14644,X14645,X14646),X14644)
| ~ epred2_4(X14643,X14645,X14646,X14644)
| epred3_4(X14646,X14645,X14644,X14643) )
& ( p__attribute(esk1226_4(X14643,X14644,X14645,X14646),X14646)
| p__attribute(esk1225_4(X14643,X14644,X14645,X14646),X14645)
| p__attribute(esk1224_4(X14643,X14644,X14645,X14646),X14644)
| ~ epred2_4(X14643,X14645,X14646,X14644)
| epred3_4(X14646,X14645,X14644,X14643) )
& ( p__d__instance(esk1226_4(X14643,X14644,X14645,X14646),c__Object)
| p__attribute(esk1225_4(X14643,X14644,X14645,X14646),X14644)
| p__attribute(esk1224_4(X14643,X14644,X14645,X14646),X14644)
| ~ epred2_4(X14643,X14645,X14646,X14644)
| epred3_4(X14646,X14645,X14644,X14643) )
& ( p__attribute(esk1226_4(X14643,X14644,X14645,X14646),X14644)
| p__attribute(esk1225_4(X14643,X14644,X14645,X14646),X14644)
| p__attribute(esk1224_4(X14643,X14644,X14645,X14646),X14644)
| ~ epred2_4(X14643,X14645,X14646,X14644)
| epred3_4(X14646,X14645,X14644,X14643) )
& ( p__attribute(esk1226_4(X14643,X14644,X14645,X14646),X14646)
| p__attribute(esk1225_4(X14643,X14644,X14645,X14646),X14644)
| p__attribute(esk1224_4(X14643,X14644,X14645,X14646),X14644)
| ~ epred2_4(X14643,X14645,X14646,X14644)
| epred3_4(X14646,X14645,X14644,X14643) )
& ( p__d__instance(esk1226_4(X14643,X14644,X14645,X14646),c__Object)
| p__d__instance(esk1225_4(X14643,X14644,X14645,X14646),c__Object)
| p__attribute(esk1224_4(X14643,X14644,X14645,X14646),X14645)
| ~ epred2_4(X14643,X14645,X14646,X14644)
| epred3_4(X14646,X14645,X14644,X14643) )
& ( p__attribute(esk1226_4(X14643,X14644,X14645,X14646),X14644)
| p__d__instance(esk1225_4(X14643,X14644,X14645,X14646),c__Object)
| p__attribute(esk1224_4(X14643,X14644,X14645,X14646),X14645)
| ~ epred2_4(X14643,X14645,X14646,X14644)
| epred3_4(X14646,X14645,X14644,X14643) )
& ( p__attribute(esk1226_4(X14643,X14644,X14645,X14646),X14646)
| p__d__instance(esk1225_4(X14643,X14644,X14645,X14646),c__Object)
| p__attribute(esk1224_4(X14643,X14644,X14645,X14646),X14645)
| ~ epred2_4(X14643,X14645,X14646,X14644)
| epred3_4(X14646,X14645,X14644,X14643) )
& ( p__d__instance(esk1226_4(X14643,X14644,X14645,X14646),c__Object)
| p__attribute(esk1225_4(X14643,X14644,X14645,X14646),X14645)
| p__attribute(esk1224_4(X14643,X14644,X14645,X14646),X14645)
| ~ epred2_4(X14643,X14645,X14646,X14644)
| epred3_4(X14646,X14645,X14644,X14643) )
& ( p__attribute(esk1226_4(X14643,X14644,X14645,X14646),X14644)
| p__attribute(esk1225_4(X14643,X14644,X14645,X14646),X14645)
| p__attribute(esk1224_4(X14643,X14644,X14645,X14646),X14645)
| ~ epred2_4(X14643,X14645,X14646,X14644)
| epred3_4(X14646,X14645,X14644,X14643) )
& ( p__attribute(esk1226_4(X14643,X14644,X14645,X14646),X14646)
| p__attribute(esk1225_4(X14643,X14644,X14645,X14646),X14645)
| p__attribute(esk1224_4(X14643,X14644,X14645,X14646),X14645)
| ~ epred2_4(X14643,X14645,X14646,X14644)
| epred3_4(X14646,X14645,X14644,X14643) )
& ( p__d__instance(esk1226_4(X14643,X14644,X14645,X14646),c__Object)
| p__attribute(esk1225_4(X14643,X14644,X14645,X14646),X14644)
| p__attribute(esk1224_4(X14643,X14644,X14645,X14646),X14645)
| ~ epred2_4(X14643,X14645,X14646,X14644)
| epred3_4(X14646,X14645,X14644,X14643) )
& ( p__attribute(esk1226_4(X14643,X14644,X14645,X14646),X14644)
| p__attribute(esk1225_4(X14643,X14644,X14645,X14646),X14644)
| p__attribute(esk1224_4(X14643,X14644,X14645,X14646),X14645)
| ~ epred2_4(X14643,X14645,X14646,X14644)
| epred3_4(X14646,X14645,X14644,X14643) )
& ( p__attribute(esk1226_4(X14643,X14644,X14645,X14646),X14646)
| p__attribute(esk1225_4(X14643,X14644,X14645,X14646),X14644)
| p__attribute(esk1224_4(X14643,X14644,X14645,X14646),X14645)
| ~ epred2_4(X14643,X14645,X14646,X14644)
| epred3_4(X14646,X14645,X14644,X14643) ) ),
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)],[c_0_39])])])])])]) ).
cnf(c_0_49,plain,
( epred3_4(X1,X2,X3,X4)
| ~ epred4_4(X2,X1,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_50,plain,
epred4_4(c__East,c__West,c__South,c__North),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_43]),c_0_44]),c_0_45]),c_0_46])]) ).
fof(c_0_51,plain,
! [X14610,X14611,X14612,X14613,X14614,X14615,X14616,X14617,X14618] :
( ( ~ p__d__instance(X14613,c__Object)
| ~ p__attribute(X14613,X14610)
| ~ p__attribute(X14613,X14611)
| ~ epred1_3(X14612,X14611,X14610) )
& ( ~ p__d__instance(X14614,c__Object)
| ~ p__attribute(X14614,X14611)
| ~ p__attribute(X14614,X14610)
| ~ epred1_3(X14612,X14611,X14610) )
& ( ~ p__d__instance(X14615,c__Object)
| ~ p__attribute(X14615,X14610)
| ~ p__attribute(X14615,X14612)
| ~ epred1_3(X14612,X14611,X14610) )
& ( p__d__instance(esk1220_3(X14616,X14617,X14618),c__Object)
| p__d__instance(esk1219_3(X14616,X14617,X14618),c__Object)
| p__d__instance(esk1218_3(X14616,X14617,X14618),c__Object)
| epred1_3(X14618,X14617,X14616) )
& ( p__attribute(esk1220_3(X14616,X14617,X14618),X14616)
| p__d__instance(esk1219_3(X14616,X14617,X14618),c__Object)
| p__d__instance(esk1218_3(X14616,X14617,X14618),c__Object)
| epred1_3(X14618,X14617,X14616) )
& ( p__attribute(esk1220_3(X14616,X14617,X14618),X14618)
| p__d__instance(esk1219_3(X14616,X14617,X14618),c__Object)
| p__d__instance(esk1218_3(X14616,X14617,X14618),c__Object)
| epred1_3(X14618,X14617,X14616) )
& ( p__d__instance(esk1220_3(X14616,X14617,X14618),c__Object)
| p__attribute(esk1219_3(X14616,X14617,X14618),X14617)
| p__d__instance(esk1218_3(X14616,X14617,X14618),c__Object)
| epred1_3(X14618,X14617,X14616) )
& ( p__attribute(esk1220_3(X14616,X14617,X14618),X14616)
| p__attribute(esk1219_3(X14616,X14617,X14618),X14617)
| p__d__instance(esk1218_3(X14616,X14617,X14618),c__Object)
| epred1_3(X14618,X14617,X14616) )
& ( p__attribute(esk1220_3(X14616,X14617,X14618),X14618)
| p__attribute(esk1219_3(X14616,X14617,X14618),X14617)
| p__d__instance(esk1218_3(X14616,X14617,X14618),c__Object)
| epred1_3(X14618,X14617,X14616) )
& ( p__d__instance(esk1220_3(X14616,X14617,X14618),c__Object)
| p__attribute(esk1219_3(X14616,X14617,X14618),X14616)
| p__d__instance(esk1218_3(X14616,X14617,X14618),c__Object)
| epred1_3(X14618,X14617,X14616) )
& ( p__attribute(esk1220_3(X14616,X14617,X14618),X14616)
| p__attribute(esk1219_3(X14616,X14617,X14618),X14616)
| p__d__instance(esk1218_3(X14616,X14617,X14618),c__Object)
| epred1_3(X14618,X14617,X14616) )
& ( p__attribute(esk1220_3(X14616,X14617,X14618),X14618)
| p__attribute(esk1219_3(X14616,X14617,X14618),X14616)
| p__d__instance(esk1218_3(X14616,X14617,X14618),c__Object)
| epred1_3(X14618,X14617,X14616) )
& ( p__d__instance(esk1220_3(X14616,X14617,X14618),c__Object)
| p__d__instance(esk1219_3(X14616,X14617,X14618),c__Object)
| p__attribute(esk1218_3(X14616,X14617,X14618),X14616)
| epred1_3(X14618,X14617,X14616) )
& ( p__attribute(esk1220_3(X14616,X14617,X14618),X14616)
| p__d__instance(esk1219_3(X14616,X14617,X14618),c__Object)
| p__attribute(esk1218_3(X14616,X14617,X14618),X14616)
| epred1_3(X14618,X14617,X14616) )
& ( p__attribute(esk1220_3(X14616,X14617,X14618),X14618)
| p__d__instance(esk1219_3(X14616,X14617,X14618),c__Object)
| p__attribute(esk1218_3(X14616,X14617,X14618),X14616)
| epred1_3(X14618,X14617,X14616) )
& ( p__d__instance(esk1220_3(X14616,X14617,X14618),c__Object)
| p__attribute(esk1219_3(X14616,X14617,X14618),X14617)
| p__attribute(esk1218_3(X14616,X14617,X14618),X14616)
| epred1_3(X14618,X14617,X14616) )
& ( p__attribute(esk1220_3(X14616,X14617,X14618),X14616)
| p__attribute(esk1219_3(X14616,X14617,X14618),X14617)
| p__attribute(esk1218_3(X14616,X14617,X14618),X14616)
| epred1_3(X14618,X14617,X14616) )
& ( p__attribute(esk1220_3(X14616,X14617,X14618),X14618)
| p__attribute(esk1219_3(X14616,X14617,X14618),X14617)
| p__attribute(esk1218_3(X14616,X14617,X14618),X14616)
| epred1_3(X14618,X14617,X14616) )
& ( p__d__instance(esk1220_3(X14616,X14617,X14618),c__Object)
| p__attribute(esk1219_3(X14616,X14617,X14618),X14616)
| p__attribute(esk1218_3(X14616,X14617,X14618),X14616)
| epred1_3(X14618,X14617,X14616) )
& ( p__attribute(esk1220_3(X14616,X14617,X14618),X14616)
| p__attribute(esk1219_3(X14616,X14617,X14618),X14616)
| p__attribute(esk1218_3(X14616,X14617,X14618),X14616)
| epred1_3(X14618,X14617,X14616) )
& ( p__attribute(esk1220_3(X14616,X14617,X14618),X14618)
| p__attribute(esk1219_3(X14616,X14617,X14618),X14616)
| p__attribute(esk1218_3(X14616,X14617,X14618),X14616)
| epred1_3(X14618,X14617,X14616) )
& ( p__d__instance(esk1220_3(X14616,X14617,X14618),c__Object)
| p__d__instance(esk1219_3(X14616,X14617,X14618),c__Object)
| p__attribute(esk1218_3(X14616,X14617,X14618),X14617)
| epred1_3(X14618,X14617,X14616) )
& ( p__attribute(esk1220_3(X14616,X14617,X14618),X14616)
| p__d__instance(esk1219_3(X14616,X14617,X14618),c__Object)
| p__attribute(esk1218_3(X14616,X14617,X14618),X14617)
| epred1_3(X14618,X14617,X14616) )
& ( p__attribute(esk1220_3(X14616,X14617,X14618),X14618)
| p__d__instance(esk1219_3(X14616,X14617,X14618),c__Object)
| p__attribute(esk1218_3(X14616,X14617,X14618),X14617)
| epred1_3(X14618,X14617,X14616) )
& ( p__d__instance(esk1220_3(X14616,X14617,X14618),c__Object)
| p__attribute(esk1219_3(X14616,X14617,X14618),X14617)
| p__attribute(esk1218_3(X14616,X14617,X14618),X14617)
| epred1_3(X14618,X14617,X14616) )
& ( p__attribute(esk1220_3(X14616,X14617,X14618),X14616)
| p__attribute(esk1219_3(X14616,X14617,X14618),X14617)
| p__attribute(esk1218_3(X14616,X14617,X14618),X14617)
| epred1_3(X14618,X14617,X14616) )
& ( p__attribute(esk1220_3(X14616,X14617,X14618),X14618)
| p__attribute(esk1219_3(X14616,X14617,X14618),X14617)
| p__attribute(esk1218_3(X14616,X14617,X14618),X14617)
| epred1_3(X14618,X14617,X14616) )
& ( p__d__instance(esk1220_3(X14616,X14617,X14618),c__Object)
| p__attribute(esk1219_3(X14616,X14617,X14618),X14616)
| p__attribute(esk1218_3(X14616,X14617,X14618),X14617)
| epred1_3(X14618,X14617,X14616) )
& ( p__attribute(esk1220_3(X14616,X14617,X14618),X14616)
| p__attribute(esk1219_3(X14616,X14617,X14618),X14616)
| p__attribute(esk1218_3(X14616,X14617,X14618),X14617)
| epred1_3(X14618,X14617,X14616) )
& ( p__attribute(esk1220_3(X14616,X14617,X14618),X14618)
| p__attribute(esk1219_3(X14616,X14617,X14618),X14616)
| p__attribute(esk1218_3(X14616,X14617,X14618),X14617)
| epred1_3(X14618,X14617,X14616) ) ),
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)],[c_0_38])])])])])]) ).
fof(c_0_52,plain,
! [X14622,X14623,X14624,X14625,X14626,X14627,X14628,X14629,X14630,X14631,X14632] :
( ( epred1_3(X14623,X14624,X14625)
| ~ epred2_4(X14625,X14623,X14622,X14624) )
& ( ~ p__d__instance(X14626,c__Object)
| ~ p__attribute(X14626,X14623)
| ~ p__attribute(X14626,X14625)
| ~ epred2_4(X14625,X14623,X14622,X14624) )
& ( ~ p__d__instance(X14627,c__Object)
| ~ p__attribute(X14627,X14625)
| ~ p__attribute(X14627,X14622)
| ~ epred2_4(X14625,X14623,X14622,X14624) )
& ( ~ p__d__instance(X14628,c__Object)
| ~ p__attribute(X14628,X14622)
| ~ p__attribute(X14628,X14625)
| ~ epred2_4(X14625,X14623,X14622,X14624) )
& ( p__d__instance(esk1223_4(X14629,X14630,X14631,X14632),c__Object)
| p__d__instance(esk1222_4(X14629,X14630,X14631,X14632),c__Object)
| p__d__instance(esk1221_4(X14629,X14630,X14631,X14632),c__Object)
| ~ epred1_3(X14630,X14631,X14632)
| epred2_4(X14632,X14630,X14629,X14631) )
& ( p__attribute(esk1223_4(X14629,X14630,X14631,X14632),X14629)
| p__d__instance(esk1222_4(X14629,X14630,X14631,X14632),c__Object)
| p__d__instance(esk1221_4(X14629,X14630,X14631,X14632),c__Object)
| ~ epred1_3(X14630,X14631,X14632)
| epred2_4(X14632,X14630,X14629,X14631) )
& ( p__attribute(esk1223_4(X14629,X14630,X14631,X14632),X14632)
| p__d__instance(esk1222_4(X14629,X14630,X14631,X14632),c__Object)
| p__d__instance(esk1221_4(X14629,X14630,X14631,X14632),c__Object)
| ~ epred1_3(X14630,X14631,X14632)
| epred2_4(X14632,X14630,X14629,X14631) )
& ( p__d__instance(esk1223_4(X14629,X14630,X14631,X14632),c__Object)
| p__attribute(esk1222_4(X14629,X14630,X14631,X14632),X14632)
| p__d__instance(esk1221_4(X14629,X14630,X14631,X14632),c__Object)
| ~ epred1_3(X14630,X14631,X14632)
| epred2_4(X14632,X14630,X14629,X14631) )
& ( p__attribute(esk1223_4(X14629,X14630,X14631,X14632),X14629)
| p__attribute(esk1222_4(X14629,X14630,X14631,X14632),X14632)
| p__d__instance(esk1221_4(X14629,X14630,X14631,X14632),c__Object)
| ~ epred1_3(X14630,X14631,X14632)
| epred2_4(X14632,X14630,X14629,X14631) )
& ( p__attribute(esk1223_4(X14629,X14630,X14631,X14632),X14632)
| p__attribute(esk1222_4(X14629,X14630,X14631,X14632),X14632)
| p__d__instance(esk1221_4(X14629,X14630,X14631,X14632),c__Object)
| ~ epred1_3(X14630,X14631,X14632)
| epred2_4(X14632,X14630,X14629,X14631) )
& ( p__d__instance(esk1223_4(X14629,X14630,X14631,X14632),c__Object)
| p__attribute(esk1222_4(X14629,X14630,X14631,X14632),X14629)
| p__d__instance(esk1221_4(X14629,X14630,X14631,X14632),c__Object)
| ~ epred1_3(X14630,X14631,X14632)
| epred2_4(X14632,X14630,X14629,X14631) )
& ( p__attribute(esk1223_4(X14629,X14630,X14631,X14632),X14629)
| p__attribute(esk1222_4(X14629,X14630,X14631,X14632),X14629)
| p__d__instance(esk1221_4(X14629,X14630,X14631,X14632),c__Object)
| ~ epred1_3(X14630,X14631,X14632)
| epred2_4(X14632,X14630,X14629,X14631) )
& ( p__attribute(esk1223_4(X14629,X14630,X14631,X14632),X14632)
| p__attribute(esk1222_4(X14629,X14630,X14631,X14632),X14629)
| p__d__instance(esk1221_4(X14629,X14630,X14631,X14632),c__Object)
| ~ epred1_3(X14630,X14631,X14632)
| epred2_4(X14632,X14630,X14629,X14631) )
& ( p__d__instance(esk1223_4(X14629,X14630,X14631,X14632),c__Object)
| p__d__instance(esk1222_4(X14629,X14630,X14631,X14632),c__Object)
| p__attribute(esk1221_4(X14629,X14630,X14631,X14632),X14630)
| ~ epred1_3(X14630,X14631,X14632)
| epred2_4(X14632,X14630,X14629,X14631) )
& ( p__attribute(esk1223_4(X14629,X14630,X14631,X14632),X14629)
| p__d__instance(esk1222_4(X14629,X14630,X14631,X14632),c__Object)
| p__attribute(esk1221_4(X14629,X14630,X14631,X14632),X14630)
| ~ epred1_3(X14630,X14631,X14632)
| epred2_4(X14632,X14630,X14629,X14631) )
& ( p__attribute(esk1223_4(X14629,X14630,X14631,X14632),X14632)
| p__d__instance(esk1222_4(X14629,X14630,X14631,X14632),c__Object)
| p__attribute(esk1221_4(X14629,X14630,X14631,X14632),X14630)
| ~ epred1_3(X14630,X14631,X14632)
| epred2_4(X14632,X14630,X14629,X14631) )
& ( p__d__instance(esk1223_4(X14629,X14630,X14631,X14632),c__Object)
| p__attribute(esk1222_4(X14629,X14630,X14631,X14632),X14632)
| p__attribute(esk1221_4(X14629,X14630,X14631,X14632),X14630)
| ~ epred1_3(X14630,X14631,X14632)
| epred2_4(X14632,X14630,X14629,X14631) )
& ( p__attribute(esk1223_4(X14629,X14630,X14631,X14632),X14629)
| p__attribute(esk1222_4(X14629,X14630,X14631,X14632),X14632)
| p__attribute(esk1221_4(X14629,X14630,X14631,X14632),X14630)
| ~ epred1_3(X14630,X14631,X14632)
| epred2_4(X14632,X14630,X14629,X14631) )
& ( p__attribute(esk1223_4(X14629,X14630,X14631,X14632),X14632)
| p__attribute(esk1222_4(X14629,X14630,X14631,X14632),X14632)
| p__attribute(esk1221_4(X14629,X14630,X14631,X14632),X14630)
| ~ epred1_3(X14630,X14631,X14632)
| epred2_4(X14632,X14630,X14629,X14631) )
& ( p__d__instance(esk1223_4(X14629,X14630,X14631,X14632),c__Object)
| p__attribute(esk1222_4(X14629,X14630,X14631,X14632),X14629)
| p__attribute(esk1221_4(X14629,X14630,X14631,X14632),X14630)
| ~ epred1_3(X14630,X14631,X14632)
| epred2_4(X14632,X14630,X14629,X14631) )
& ( p__attribute(esk1223_4(X14629,X14630,X14631,X14632),X14629)
| p__attribute(esk1222_4(X14629,X14630,X14631,X14632),X14629)
| p__attribute(esk1221_4(X14629,X14630,X14631,X14632),X14630)
| ~ epred1_3(X14630,X14631,X14632)
| epred2_4(X14632,X14630,X14629,X14631) )
& ( p__attribute(esk1223_4(X14629,X14630,X14631,X14632),X14632)
| p__attribute(esk1222_4(X14629,X14630,X14631,X14632),X14629)
| p__attribute(esk1221_4(X14629,X14630,X14631,X14632),X14630)
| ~ epred1_3(X14630,X14631,X14632)
| epred2_4(X14632,X14630,X14629,X14631) )
& ( p__d__instance(esk1223_4(X14629,X14630,X14631,X14632),c__Object)
| p__d__instance(esk1222_4(X14629,X14630,X14631,X14632),c__Object)
| p__attribute(esk1221_4(X14629,X14630,X14631,X14632),X14632)
| ~ epred1_3(X14630,X14631,X14632)
| epred2_4(X14632,X14630,X14629,X14631) )
& ( p__attribute(esk1223_4(X14629,X14630,X14631,X14632),X14629)
| p__d__instance(esk1222_4(X14629,X14630,X14631,X14632),c__Object)
| p__attribute(esk1221_4(X14629,X14630,X14631,X14632),X14632)
| ~ epred1_3(X14630,X14631,X14632)
| epred2_4(X14632,X14630,X14629,X14631) )
& ( p__attribute(esk1223_4(X14629,X14630,X14631,X14632),X14632)
| p__d__instance(esk1222_4(X14629,X14630,X14631,X14632),c__Object)
| p__attribute(esk1221_4(X14629,X14630,X14631,X14632),X14632)
| ~ epred1_3(X14630,X14631,X14632)
| epred2_4(X14632,X14630,X14629,X14631) )
& ( p__d__instance(esk1223_4(X14629,X14630,X14631,X14632),c__Object)
| p__attribute(esk1222_4(X14629,X14630,X14631,X14632),X14632)
| p__attribute(esk1221_4(X14629,X14630,X14631,X14632),X14632)
| ~ epred1_3(X14630,X14631,X14632)
| epred2_4(X14632,X14630,X14629,X14631) )
& ( p__attribute(esk1223_4(X14629,X14630,X14631,X14632),X14629)
| p__attribute(esk1222_4(X14629,X14630,X14631,X14632),X14632)
| p__attribute(esk1221_4(X14629,X14630,X14631,X14632),X14632)
| ~ epred1_3(X14630,X14631,X14632)
| epred2_4(X14632,X14630,X14629,X14631) )
& ( p__attribute(esk1223_4(X14629,X14630,X14631,X14632),X14632)
| p__attribute(esk1222_4(X14629,X14630,X14631,X14632),X14632)
| p__attribute(esk1221_4(X14629,X14630,X14631,X14632),X14632)
| ~ epred1_3(X14630,X14631,X14632)
| epred2_4(X14632,X14630,X14629,X14631) )
& ( p__d__instance(esk1223_4(X14629,X14630,X14631,X14632),c__Object)
| p__attribute(esk1222_4(X14629,X14630,X14631,X14632),X14629)
| p__attribute(esk1221_4(X14629,X14630,X14631,X14632),X14632)
| ~ epred1_3(X14630,X14631,X14632)
| epred2_4(X14632,X14630,X14629,X14631) )
& ( p__attribute(esk1223_4(X14629,X14630,X14631,X14632),X14629)
| p__attribute(esk1222_4(X14629,X14630,X14631,X14632),X14629)
| p__attribute(esk1221_4(X14629,X14630,X14631,X14632),X14632)
| ~ epred1_3(X14630,X14631,X14632)
| epred2_4(X14632,X14630,X14629,X14631) )
& ( p__attribute(esk1223_4(X14629,X14630,X14631,X14632),X14632)
| p__attribute(esk1222_4(X14629,X14630,X14631,X14632),X14629)
| p__attribute(esk1221_4(X14629,X14630,X14631,X14632),X14632)
| ~ epred1_3(X14630,X14631,X14632)
| epred2_4(X14632,X14630,X14629,X14631) ) ),
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)],[c_0_47])])])])])]) ).
cnf(c_0_53,plain,
( epred2_4(X1,X2,X3,X4)
| ~ epred3_4(X3,X2,X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_54,plain,
epred3_4(c__West,c__East,c__South,c__North),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_55,plain,
( ~ p__d__instance(X1,c__Object)
| ~ p__attribute(X1,X2)
| ~ p__attribute(X1,X3)
| ~ epred1_3(X4,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_56,plain,
( p__d__instance(X1,c__Object)
| ~ p__attribute(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_57,plain,
( epred1_3(X1,X2,X3)
| ~ epred2_4(X3,X1,X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_58,plain,
epred2_4(c__North,c__East,c__West,c__South),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_59,plain,
( ~ epred1_3(X1,X2,X3)
| ~ p__attribute(X4,X2)
| ~ p__attribute(X4,X3) ),
inference(csr,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_60,plain,
epred1_3(c__East,c__South,c__North),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_61,plain,
( ~ p__attribute(X1,c__South)
| ~ p__attribute(X1,c__North) ),
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_62,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_36]),c_0_37])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : CSR215+1 : TPTP v9.2.1. Released v7.3.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.13/0.32 % Computer : n007.cluster.edu
% 0.13/0.32 % Model : x86_64 x86_64
% 0.13/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32 % Memory : 8042.1875MB
% 0.13/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32 % CPULimit : 300
% 0.13/0.32 % WCLimit : 300
% 0.13/0.32 % DateTime : Mon May 4 17:12:24 EDT 2026
% 0.13/0.33 % CPUTime :
% 0.13/0.34 % start to proof: theBenchmark
% 65.72/35.52 % Version : CSE_E---1.7
% 65.72/35.52 % Problem : theBenchmark.p
% 65.72/35.52 % SZS status Theorem for theBenchmark.p
% 65.72/35.52 % SZS output start CNFRefutation
% See solution above
% 65.72/35.57 % Total time : 33.665s
%------------------------------------------------------------------------------