TSTP Solution File: MGT061+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : MGT061+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n006.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 09:08:46 EDT 2023
% Result : Theorem 0.19s 0.59s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 40
% Syntax : Number of formulae : 106 ( 25 unt; 27 typ; 0 def)
% Number of atoms : 293 ( 47 equ)
% Maximal formula atoms : 18 ( 3 avg)
% Number of connectives : 332 ( 118 ~; 107 |; 69 &)
% ( 8 <=>; 30 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 28 ( 16 >; 12 *; 0 +; 0 <<)
% Number of predicates : 14 ( 12 usr; 1 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 11 con; 0-2 aty)
% Number of variables : 113 ( 5 sgn; 64 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
smaller_or_equal: ( $i * $i ) > $o ).
tff(decl_23,type,
smaller: ( $i * $i ) > $o ).
tff(decl_24,type,
greater_or_equal: ( $i * $i ) > $o ).
tff(decl_25,type,
greater: ( $i * $i ) > $o ).
tff(decl_26,type,
organization: $i > $o ).
tff(decl_27,type,
has_endowment: $i > $o ).
tff(decl_28,type,
has_immunity: ( $i * $i ) > $o ).
tff(decl_29,type,
dissimilar: ( $i * $i * $i ) > $o ).
tff(decl_30,type,
is_aligned: ( $i * $i ) > $o ).
tff(decl_31,type,
age: ( $i * $i ) > $i ).
tff(decl_32,type,
zero: $i ).
tff(decl_33,type,
sigma: $i ).
tff(decl_34,type,
fragile_position: $i > $o ).
tff(decl_35,type,
positional_advantage: ( $i * $i ) > $o ).
tff(decl_36,type,
hazard_of_mortality: ( $i * $i ) > $i ).
tff(decl_37,type,
very_low: $i ).
tff(decl_38,type,
low: $i ).
tff(decl_39,type,
mod1: $i ).
tff(decl_40,type,
mod2: $i ).
tff(decl_41,type,
high: $i ).
tff(decl_42,type,
epred1_2: ( $i * $i ) > $o ).
tff(decl_43,type,
esk1_1: $i > $i ).
tff(decl_44,type,
esk2_1: $i > $i ).
tff(decl_45,type,
esk3_0: $i ).
tff(decl_46,type,
esk4_0: $i ).
tff(decl_47,type,
esk5_0: $i ).
tff(decl_48,type,
esk6_0: $i ).
fof(assumption_1,axiom,
! [X1,X4] :
( ( organization(X1)
& ~ has_endowment(X1) )
=> ~ has_immunity(X1,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_1) ).
fof(assumption_17,axiom,
! [X1,X4] :
( organization(X1)
=> ( ( has_immunity(X1,X4)
=> hazard_of_mortality(X1,X4) = very_low )
& ( ~ has_immunity(X1,X4)
=> ( ( ( is_aligned(X1,X4)
& positional_advantage(X1,X4) )
=> hazard_of_mortality(X1,X4) = low )
& ( ( ~ is_aligned(X1,X4)
& positional_advantage(X1,X4) )
=> hazard_of_mortality(X1,X4) = mod1 )
& ( ( is_aligned(X1,X4)
& ~ positional_advantage(X1,X4) )
=> hazard_of_mortality(X1,X4) = mod2 )
& ( ( ~ is_aligned(X1,X4)
& ~ positional_advantage(X1,X4) )
=> hazard_of_mortality(X1,X4) = high ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_17) ).
fof(theorem_7,conjecture,
! [X1,X5,X6,X7] :
( ( organization(X1)
& fragile_position(X1)
& ~ has_endowment(X1)
& age(X1,X5) = zero
& greater(sigma,zero)
& smaller_or_equal(age(X1,X6),sigma)
& greater(age(X1,X7),sigma) )
=> ( greater(hazard_of_mortality(X1,X7),hazard_of_mortality(X1,X6))
& hazard_of_mortality(X1,X6) = hazard_of_mortality(X1,X5) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_7) ).
fof(definition_smaller,axiom,
! [X1,X2] :
( smaller(X1,X2)
<=> greater(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT001+0.ax',definition_smaller) ).
fof(assumption_13,axiom,
! [X1,X4] :
( ( organization(X1)
& age(X1,X4) = zero )
=> is_aligned(X1,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_13) ).
fof(definition_3,axiom,
! [X1] :
( fragile_position(X1)
<=> ! [X4] :
( ( smaller_or_equal(age(X1,X4),sigma)
=> positional_advantage(X1,X4) )
& ( greater(age(X1,X4),sigma)
=> ~ positional_advantage(X1,X4) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_3) ).
fof(definition_smaller_or_equal,axiom,
! [X1,X2] :
( smaller_or_equal(X1,X2)
<=> ( smaller(X1,X2)
| X1 = X2 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT001+0.ax',definition_smaller_or_equal) ).
fof(assumption_15,axiom,
! [X1,X5,X4] :
( ( organization(X1)
& age(X1,X5) = zero )
=> ( greater(age(X1,X4),sigma)
<=> dissimilar(X1,X5,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_15) ).
fof(definition_2,axiom,
! [X1,X5,X4] :
( dissimilar(X1,X5,X4)
<=> ( organization(X1)
& ~ ( is_aligned(X1,X5)
<=> is_aligned(X1,X4) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_2) ).
fof(meaning_postulate_greater_transitive,axiom,
! [X1,X2,X3] :
( ( greater(X1,X2)
& greater(X2,X3) )
=> greater(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT001+0.ax',meaning_postulate_greater_transitive) ).
fof(assumption_18e,axiom,
greater(mod2,low),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_18e) ).
fof(assumption_18d,axiom,
greater(high,mod2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_18d) ).
fof(c_0_12,plain,
! [X1,X4] :
( epred1_2(X4,X1)
<=> ( ( ( is_aligned(X1,X4)
& positional_advantage(X1,X4) )
=> hazard_of_mortality(X1,X4) = low )
& ( ( ~ is_aligned(X1,X4)
& positional_advantage(X1,X4) )
=> hazard_of_mortality(X1,X4) = mod1 )
& ( ( is_aligned(X1,X4)
& ~ positional_advantage(X1,X4) )
=> hazard_of_mortality(X1,X4) = mod2 )
& ( ( ~ is_aligned(X1,X4)
& ~ positional_advantage(X1,X4) )
=> hazard_of_mortality(X1,X4) = high ) ) ),
introduced(definition) ).
fof(c_0_13,plain,
! [X1,X4] :
( ( organization(X1)
& ~ has_endowment(X1) )
=> ~ has_immunity(X1,X4) ),
inference(fof_simplification,[status(thm)],[assumption_1]) ).
fof(c_0_14,plain,
! [X1,X4] :
( organization(X1)
=> ( ( has_immunity(X1,X4)
=> hazard_of_mortality(X1,X4) = very_low )
& ( ~ has_immunity(X1,X4)
=> epred1_2(X4,X1) ) ) ),
inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[assumption_17]),c_0_12]) ).
fof(c_0_15,negated_conjecture,
~ ! [X1,X5,X6,X7] :
( ( organization(X1)
& fragile_position(X1)
& ~ has_endowment(X1)
& age(X1,X5) = zero
& greater(sigma,zero)
& smaller_or_equal(age(X1,X6),sigma)
& greater(age(X1,X7),sigma) )
=> ( greater(hazard_of_mortality(X1,X7),hazard_of_mortality(X1,X6))
& hazard_of_mortality(X1,X6) = hazard_of_mortality(X1,X5) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[theorem_7])]) ).
fof(c_0_16,plain,
! [X21,X22] :
( ~ organization(X21)
| has_endowment(X21)
| ~ has_immunity(X21,X22) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])]) ).
fof(c_0_17,plain,
! [X37,X38] :
( ( ~ has_immunity(X37,X38)
| hazard_of_mortality(X37,X38) = very_low
| ~ organization(X37) )
& ( has_immunity(X37,X38)
| epred1_2(X38,X37)
| ~ organization(X37) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])]) ).
fof(c_0_18,plain,
! [X12,X13] :
( ( ~ smaller(X12,X13)
| greater(X13,X12) )
& ( ~ greater(X13,X12)
| smaller(X12,X13) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[definition_smaller])]) ).
fof(c_0_19,negated_conjecture,
( organization(esk3_0)
& fragile_position(esk3_0)
& ~ has_endowment(esk3_0)
& age(esk3_0,esk4_0) = zero
& greater(sigma,zero)
& smaller_or_equal(age(esk3_0,esk5_0),sigma)
& greater(age(esk3_0,esk6_0),sigma)
& ( ~ greater(hazard_of_mortality(esk3_0,esk6_0),hazard_of_mortality(esk3_0,esk5_0))
| hazard_of_mortality(esk3_0,esk5_0) != hazard_of_mortality(esk3_0,esk4_0) ) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])])]) ).
fof(c_0_20,plain,
! [X26,X27] :
( ~ organization(X26)
| age(X26,X27) != zero
| is_aligned(X26,X27) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[assumption_13])]) ).
fof(c_0_21,plain,
! [X1,X4] :
( epred1_2(X4,X1)
=> ( ( ( is_aligned(X1,X4)
& positional_advantage(X1,X4) )
=> hazard_of_mortality(X1,X4) = low )
& ( ( ~ is_aligned(X1,X4)
& positional_advantage(X1,X4) )
=> hazard_of_mortality(X1,X4) = mod1 )
& ( ( is_aligned(X1,X4)
& ~ positional_advantage(X1,X4) )
=> hazard_of_mortality(X1,X4) = mod2 )
& ( ( ~ is_aligned(X1,X4)
& ~ positional_advantage(X1,X4) )
=> hazard_of_mortality(X1,X4) = high ) ) ),
inference(split_equiv,[status(thm)],[c_0_12]) ).
cnf(c_0_22,plain,
( has_endowment(X1)
| ~ organization(X1)
| ~ has_immunity(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_23,plain,
( has_immunity(X1,X2)
| epred1_2(X2,X1)
| ~ organization(X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
fof(c_0_24,plain,
! [X1] :
( fragile_position(X1)
<=> ! [X4] :
( ( smaller_or_equal(age(X1,X4),sigma)
=> positional_advantage(X1,X4) )
& ( greater(age(X1,X4),sigma)
=> ~ positional_advantage(X1,X4) ) ) ),
inference(fof_simplification,[status(thm)],[definition_3]) ).
fof(c_0_25,plain,
! [X8,X9] :
( ( ~ smaller_or_equal(X8,X9)
| smaller(X8,X9)
| X8 = X9 )
& ( ~ smaller(X8,X9)
| smaller_or_equal(X8,X9) )
& ( X8 != X9
| smaller_or_equal(X8,X9) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[definition_smaller_or_equal])])]) ).
cnf(c_0_26,plain,
( smaller(X2,X1)
| ~ greater(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_27,negated_conjecture,
greater(sigma,zero),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
fof(c_0_28,plain,
! [X28,X29,X30] :
( ( ~ greater(age(X28,X30),sigma)
| dissimilar(X28,X29,X30)
| ~ organization(X28)
| age(X28,X29) != zero )
& ( ~ dissimilar(X28,X29,X30)
| greater(age(X28,X30),sigma)
| ~ organization(X28)
| age(X28,X29) != zero ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[assumption_15])])]) ).
fof(c_0_29,plain,
! [X23,X24,X25] :
( ( organization(X23)
| ~ dissimilar(X23,X24,X25) )
& ( ~ is_aligned(X23,X24)
| ~ is_aligned(X23,X25)
| ~ dissimilar(X23,X24,X25) )
& ( is_aligned(X23,X24)
| is_aligned(X23,X25)
| ~ dissimilar(X23,X24,X25) )
& ( ~ is_aligned(X23,X24)
| is_aligned(X23,X25)
| ~ organization(X23)
| dissimilar(X23,X24,X25) )
& ( ~ is_aligned(X23,X25)
| is_aligned(X23,X24)
| ~ organization(X23)
| dissimilar(X23,X24,X25) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[definition_2])])]) ).
cnf(c_0_30,plain,
( is_aligned(X1,X2)
| ~ organization(X1)
| age(X1,X2) != zero ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_31,negated_conjecture,
age(esk3_0,esk4_0) = zero,
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_32,negated_conjecture,
organization(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
fof(c_0_33,plain,
! [X43,X44] :
( ( ~ is_aligned(X43,X44)
| ~ positional_advantage(X43,X44)
| hazard_of_mortality(X43,X44) = low
| ~ epred1_2(X44,X43) )
& ( is_aligned(X43,X44)
| ~ positional_advantage(X43,X44)
| hazard_of_mortality(X43,X44) = mod1
| ~ epred1_2(X44,X43) )
& ( ~ is_aligned(X43,X44)
| positional_advantage(X43,X44)
| hazard_of_mortality(X43,X44) = mod2
| ~ epred1_2(X44,X43) )
& ( is_aligned(X43,X44)
| positional_advantage(X43,X44)
| hazard_of_mortality(X43,X44) = high
| ~ epred1_2(X44,X43) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])])]) ).
cnf(c_0_34,negated_conjecture,
~ has_endowment(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_35,plain,
( epred1_2(X1,X2)
| has_endowment(X2)
| ~ organization(X2) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
fof(c_0_36,plain,
! [X31,X32,X33,X34] :
( ( ~ smaller_or_equal(age(X31,X32),sigma)
| positional_advantage(X31,X32)
| ~ fragile_position(X31) )
& ( ~ greater(age(X31,X33),sigma)
| ~ positional_advantage(X31,X33)
| ~ fragile_position(X31) )
& ( greater(age(X34,esk2_1(X34)),sigma)
| smaller_or_equal(age(X34,esk1_1(X34)),sigma)
| fragile_position(X34) )
& ( positional_advantage(X34,esk2_1(X34))
| smaller_or_equal(age(X34,esk1_1(X34)),sigma)
| fragile_position(X34) )
& ( greater(age(X34,esk2_1(X34)),sigma)
| ~ positional_advantage(X34,esk1_1(X34))
| fragile_position(X34) )
& ( positional_advantage(X34,esk2_1(X34))
| ~ positional_advantage(X34,esk1_1(X34))
| fragile_position(X34) ) ),
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_24])])])])])]) ).
cnf(c_0_37,plain,
( smaller_or_equal(X1,X2)
| ~ smaller(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_38,negated_conjecture,
smaller(zero,sigma),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_39,plain,
( greater(age(X1,X3),sigma)
| ~ dissimilar(X1,X2,X3)
| ~ organization(X1)
| age(X1,X2) != zero ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_40,plain,
( organization(X1)
| ~ dissimilar(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_41,plain,
( is_aligned(X1,X3)
| dissimilar(X1,X2,X3)
| ~ is_aligned(X1,X2)
| ~ organization(X1) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_42,negated_conjecture,
is_aligned(esk3_0,esk4_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32])]) ).
cnf(c_0_43,plain,
( hazard_of_mortality(X1,X2) = low
| ~ is_aligned(X1,X2)
| ~ positional_advantage(X1,X2)
| ~ epred1_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_44,negated_conjecture,
epred1_2(X1,esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_32])]) ).
cnf(c_0_45,plain,
( positional_advantage(X1,X2)
| ~ smaller_or_equal(age(X1,X2),sigma)
| ~ fragile_position(X1) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_46,negated_conjecture,
fragile_position(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_47,negated_conjecture,
smaller_or_equal(zero,sigma),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_48,plain,
( dissimilar(X1,X3,X2)
| ~ greater(age(X1,X2),sigma)
| ~ organization(X1)
| age(X1,X3) != zero ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_49,plain,
( greater(age(X1,X2),sigma)
| age(X1,X3) != zero
| ~ dissimilar(X1,X3,X2) ),
inference(csr,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_50,negated_conjecture,
( is_aligned(esk3_0,X1)
| dissimilar(esk3_0,esk4_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_32])]) ).
cnf(c_0_51,plain,
( hazard_of_mortality(esk3_0,X1) = low
| ~ positional_advantage(esk3_0,X1)
| ~ is_aligned(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_52,negated_conjecture,
positional_advantage(esk3_0,esk4_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_31]),c_0_46]),c_0_47])]) ).
cnf(c_0_53,negated_conjecture,
( dissimilar(esk3_0,esk4_0,X1)
| ~ greater(age(esk3_0,X1),sigma) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_31]),c_0_32])]) ).
cnf(c_0_54,negated_conjecture,
greater(age(esk3_0,esk6_0),sigma),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_55,plain,
( ~ greater(age(X1,X2),sigma)
| ~ positional_advantage(X1,X2)
| ~ fragile_position(X1) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_56,negated_conjecture,
( is_aligned(esk3_0,X1)
| greater(age(esk3_0,X1),sigma) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_31])]) ).
cnf(c_0_57,negated_conjecture,
smaller_or_equal(age(esk3_0,esk5_0),sigma),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
fof(c_0_58,plain,
! [X16,X17,X18] :
( ~ greater(X16,X17)
| ~ greater(X17,X18)
| greater(X16,X18) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[meaning_postulate_greater_transitive])]) ).
cnf(c_0_59,negated_conjecture,
( ~ greater(hazard_of_mortality(esk3_0,esk6_0),hazard_of_mortality(esk3_0,esk5_0))
| hazard_of_mortality(esk3_0,esk5_0) != hazard_of_mortality(esk3_0,esk4_0) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_60,negated_conjecture,
hazard_of_mortality(esk3_0,esk4_0) = low,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_42]),c_0_52])]) ).
cnf(c_0_61,plain,
( is_aligned(X1,X2)
| positional_advantage(X1,X2)
| hazard_of_mortality(X1,X2) = high
| ~ epred1_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_62,plain,
( ~ is_aligned(X1,X2)
| ~ is_aligned(X1,X3)
| ~ dissimilar(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_63,negated_conjecture,
dissimilar(esk3_0,esk4_0,esk6_0),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_64,negated_conjecture,
( is_aligned(esk3_0,X1)
| ~ positional_advantage(esk3_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_46])]) ).
cnf(c_0_65,negated_conjecture,
positional_advantage(esk3_0,esk5_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_57]),c_0_46])]) ).
cnf(c_0_66,plain,
( greater(X1,X3)
| ~ greater(X1,X2)
| ~ greater(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_67,plain,
greater(mod2,low),
inference(split_conjunct,[status(thm)],[assumption_18e]) ).
cnf(c_0_68,negated_conjecture,
( hazard_of_mortality(esk3_0,esk5_0) != low
| ~ greater(hazard_of_mortality(esk3_0,esk6_0),hazard_of_mortality(esk3_0,esk5_0)) ),
inference(rw,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_69,plain,
( hazard_of_mortality(esk3_0,X1) = high
| positional_advantage(esk3_0,X1)
| is_aligned(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_61,c_0_44]) ).
cnf(c_0_70,negated_conjecture,
~ positional_advantage(esk3_0,esk6_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_54]),c_0_46])]) ).
cnf(c_0_71,negated_conjecture,
~ is_aligned(esk3_0,esk6_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_42])]) ).
cnf(c_0_72,negated_conjecture,
is_aligned(esk3_0,esk5_0),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_73,plain,
( greater(X1,low)
| ~ greater(X1,mod2) ),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_74,plain,
greater(high,mod2),
inference(split_conjunct,[status(thm)],[assumption_18d]) ).
cnf(c_0_75,negated_conjecture,
( hazard_of_mortality(esk3_0,esk5_0) != low
| ~ greater(high,hazard_of_mortality(esk3_0,esk5_0)) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_70]),c_0_71]) ).
cnf(c_0_76,plain,
hazard_of_mortality(esk3_0,esk5_0) = low,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_72]),c_0_65])]) ).
cnf(c_0_77,plain,
greater(high,low),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_78,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_75,c_0_76]),c_0_76]),c_0_77])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : MGT061+1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.33 % Computer : n006.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Aug 28 06:29:36 EDT 2023
% 0.13/0.33 % CPUTime :
% 0.19/0.56 start to proof: theBenchmark
% 0.19/0.59 % Version : CSE_E---1.5
% 0.19/0.59 % Problem : theBenchmark.p
% 0.19/0.59 % Proof found
% 0.19/0.59 % SZS status Theorem for theBenchmark.p
% 0.19/0.59 % SZS output start Proof
% See solution above
% 0.19/0.60 % Total time : 0.019000 s
% 0.19/0.60 % SZS output end Proof
% 0.19/0.60 % Total time : 0.022000 s
%------------------------------------------------------------------------------