TSTP Solution File: MGT063+1 by CSE_E---1.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : MGT063+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 : n027.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 09:08:46 EDT 2023
% Result : Theorem 1.59s 1.67s
% Output : CNFRefutation 1.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 46
% Syntax : Number of formulae : 143 ( 33 unt; 32 typ; 0 def)
% Number of atoms : 388 ( 72 equ)
% Maximal formula atoms : 18 ( 3 avg)
% Number of connectives : 416 ( 139 ~; 155 |; 84 &)
% ( 8 <=>; 30 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 30 ( 18 >; 12 *; 0 +; 0 <<)
% Number of predicates : 14 ( 12 usr; 1 prp; 0-3 aty)
% Number of functors : 20 ( 20 usr; 14 con; 0-2 aty)
% Number of variables : 135 ( 3 sgn; 70 !; 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,
has_endowment: $i > $o ).
tff(decl_27,type,
organization: $i > $o ).
tff(decl_28,type,
age: ( $i * $i ) > $i ).
tff(decl_29,type,
eta: $i ).
tff(decl_30,type,
has_immunity: ( $i * $i ) > $o ).
tff(decl_31,type,
dissimilar: ( $i * $i * $i ) > $o ).
tff(decl_32,type,
is_aligned: ( $i * $i ) > $o ).
tff(decl_33,type,
zero: $i ).
tff(decl_34,type,
sigma: $i ).
tff(decl_35,type,
robust_position: $i > $o ).
tff(decl_36,type,
tau: $i ).
tff(decl_37,type,
positional_advantage: ( $i * $i ) > $o ).
tff(decl_38,type,
hazard_of_mortality: ( $i * $i ) > $i ).
tff(decl_39,type,
very_low: $i ).
tff(decl_40,type,
low: $i ).
tff(decl_41,type,
mod1: $i ).
tff(decl_42,type,
mod2: $i ).
tff(decl_43,type,
high: $i ).
tff(decl_44,type,
epred1_2: ( $i * $i ) > $o ).
tff(decl_45,type,
esk1_1: $i > $i ).
tff(decl_46,type,
esk2_1: $i > $i ).
tff(decl_47,type,
esk3_1: $i > $i ).
tff(decl_48,type,
esk4_1: $i > $i ).
tff(decl_49,type,
esk5_0: $i ).
tff(decl_50,type,
esk6_0: $i ).
tff(decl_51,type,
esk7_0: $i ).
tff(decl_52,type,
esk8_0: $i ).
tff(decl_53,type,
esk9_0: $i ).
fof(theorem_9,conjecture,
! [X1,X5,X6,X7,X8] :
( ( organization(X1)
& robust_position(X1)
& ~ has_endowment(X1)
& age(X1,X5) = zero
& greater(sigma,zero)
& greater(tau,zero)
& smaller(sigma,tau)
& smaller_or_equal(age(X1,X6),sigma)
& greater(age(X1,X7),sigma)
& smaller_or_equal(age(X1,X7),tau)
& greater(age(X1,X8),tau) )
=> ( smaller(hazard_of_mortality(X1,X8),hazard_of_mortality(X1,X6))
& smaller(hazard_of_mortality(X1,X6),hazard_of_mortality(X1,X7))
& hazard_of_mortality(X1,X6) = hazard_of_mortality(X1,X5) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_9) ).
fof(definition_smaller,axiom,
! [X1,X2] :
( smaller(X1,X2)
<=> greater(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT001+0.ax',definition_smaller) ).
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_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(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(definition_4,axiom,
! [X1] :
( robust_position(X1)
<=> ! [X4] :
( ( smaller_or_equal(age(X1,X4),tau)
=> ~ positional_advantage(X1,X4) )
& ( greater(age(X1,X4),tau)
=> positional_advantage(X1,X4) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_4) ).
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_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(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(assumption_1,axiom,
! [X1,X4] :
( ( organization(X1)
& ~ has_endowment(X1) )
=> ~ has_immunity(X1,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_1) ).
fof(meaning_postulate_greater_strict,axiom,
! [X1,X2] :
~ ( greater(X1,X2)
& greater(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT001+0.ax',meaning_postulate_greater_strict) ).
fof(assumption_18d,axiom,
greater(high,mod2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_18d) ).
fof(assumption_19,axiom,
greater(mod2,mod1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_19) ).
fof(c_0_13,negated_conjecture,
~ ! [X1,X5,X6,X7,X8] :
( ( organization(X1)
& robust_position(X1)
& ~ has_endowment(X1)
& age(X1,X5) = zero
& greater(sigma,zero)
& greater(tau,zero)
& smaller(sigma,tau)
& smaller_or_equal(age(X1,X6),sigma)
& greater(age(X1,X7),sigma)
& smaller_or_equal(age(X1,X7),tau)
& greater(age(X1,X8),tau) )
=> ( smaller(hazard_of_mortality(X1,X8),hazard_of_mortality(X1,X6))
& smaller(hazard_of_mortality(X1,X6),hazard_of_mortality(X1,X7))
& hazard_of_mortality(X1,X6) = hazard_of_mortality(X1,X5) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[theorem_9])]) ).
fof(c_0_14,plain,
! [X13,X14] :
( ( ~ smaller(X13,X14)
| greater(X14,X13) )
& ( ~ greater(X14,X13)
| smaller(X13,X14) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[definition_smaller])]) ).
fof(c_0_15,negated_conjecture,
( organization(esk5_0)
& robust_position(esk5_0)
& ~ has_endowment(esk5_0)
& age(esk5_0,esk6_0) = zero
& greater(sigma,zero)
& greater(tau,zero)
& smaller(sigma,tau)
& smaller_or_equal(age(esk5_0,esk7_0),sigma)
& greater(age(esk5_0,esk8_0),sigma)
& smaller_or_equal(age(esk5_0,esk8_0),tau)
& greater(age(esk5_0,esk9_0),tau)
& ( ~ smaller(hazard_of_mortality(esk5_0,esk9_0),hazard_of_mortality(esk5_0,esk7_0))
| ~ smaller(hazard_of_mortality(esk5_0,esk7_0),hazard_of_mortality(esk5_0,esk8_0))
| hazard_of_mortality(esk5_0,esk7_0) != hazard_of_mortality(esk5_0,esk6_0) ) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])]) ).
fof(c_0_16,plain,
! [X17,X18,X19] :
( ~ greater(X17,X18)
| ~ greater(X18,X19)
| greater(X17,X19) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[meaning_postulate_greater_transitive])]) ).
cnf(c_0_17,plain,
( greater(X2,X1)
| ~ smaller(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_18,negated_conjecture,
smaller(sigma,tau),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
fof(c_0_19,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_20,plain,
! [X35,X36,X37] :
( ( ~ greater(age(X35,X37),sigma)
| dissimilar(X35,X36,X37)
| ~ organization(X35)
| age(X35,X36) != zero )
& ( ~ dissimilar(X35,X36,X37)
| greater(age(X35,X37),sigma)
| ~ organization(X35)
| age(X35,X36) != zero ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[assumption_15])])]) ).
cnf(c_0_21,plain,
( greater(X1,X3)
| ~ greater(X1,X2)
| ~ greater(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_22,negated_conjecture,
greater(tau,sigma),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
fof(c_0_23,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_19]) ).
fof(c_0_24,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_19]) ).
fof(c_0_25,plain,
! [X1] :
( robust_position(X1)
<=> ! [X4] :
( ( smaller_or_equal(age(X1,X4),tau)
=> ~ positional_advantage(X1,X4) )
& ( greater(age(X1,X4),tau)
=> positional_advantage(X1,X4) ) ) ),
inference(fof_simplification,[status(thm)],[definition_4]) ).
cnf(c_0_26,plain,
( dissimilar(X1,X3,X2)
| ~ greater(age(X1,X2),sigma)
| ~ organization(X1)
| age(X1,X3) != zero ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_27,negated_conjecture,
age(esk5_0,esk6_0) = zero,
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_28,negated_conjecture,
organization(esk5_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_29,negated_conjecture,
( greater(X1,sigma)
| ~ greater(X1,tau) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_30,negated_conjecture,
greater(age(esk5_0,esk9_0),tau),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
fof(c_0_31,plain,
! [X33,X34] :
( ~ organization(X33)
| age(X33,X34) != zero
| is_aligned(X33,X34) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[assumption_13])]) ).
fof(c_0_32,plain,
! [X9,X10] :
( ( ~ smaller_or_equal(X9,X10)
| smaller(X9,X10)
| X9 = X10 )
& ( ~ smaller(X9,X10)
| smaller_or_equal(X9,X10) )
& ( X9 != X10
| smaller_or_equal(X9,X10) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[definition_smaller_or_equal])])]) ).
fof(c_0_33,plain,
! [X51,X52] :
( ( ~ is_aligned(X51,X52)
| ~ positional_advantage(X51,X52)
| hazard_of_mortality(X51,X52) = low
| ~ epred1_2(X52,X51) )
& ( is_aligned(X51,X52)
| ~ positional_advantage(X51,X52)
| hazard_of_mortality(X51,X52) = mod1
| ~ epred1_2(X52,X51) )
& ( ~ is_aligned(X51,X52)
| positional_advantage(X51,X52)
| hazard_of_mortality(X51,X52) = mod2
| ~ epred1_2(X52,X51) )
& ( is_aligned(X51,X52)
| positional_advantage(X51,X52)
| hazard_of_mortality(X51,X52) = high
| ~ epred1_2(X52,X51) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_23])])]) ).
fof(c_0_34,plain,
! [X44,X45] :
( ( ~ has_immunity(X44,X45)
| hazard_of_mortality(X44,X45) = very_low
| ~ organization(X44) )
& ( has_immunity(X44,X45)
| epred1_2(X45,X44)
| ~ organization(X44) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_24])])]) ).
fof(c_0_35,plain,
! [X38,X39,X40,X41] :
( ( ~ smaller_or_equal(age(X38,X39),tau)
| ~ positional_advantage(X38,X39)
| ~ robust_position(X38) )
& ( ~ greater(age(X38,X40),tau)
| positional_advantage(X38,X40)
| ~ robust_position(X38) )
& ( greater(age(X41,esk4_1(X41)),tau)
| smaller_or_equal(age(X41,esk3_1(X41)),tau)
| robust_position(X41) )
& ( ~ positional_advantage(X41,esk4_1(X41))
| smaller_or_equal(age(X41,esk3_1(X41)),tau)
| robust_position(X41) )
& ( greater(age(X41,esk4_1(X41)),tau)
| positional_advantage(X41,esk3_1(X41))
| robust_position(X41) )
& ( ~ positional_advantage(X41,esk4_1(X41))
| positional_advantage(X41,esk3_1(X41))
| robust_position(X41) ) ),
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_25])])])])])]) ).
fof(c_0_36,plain,
! [X30,X31,X32] :
( ( organization(X30)
| ~ dissimilar(X30,X31,X32) )
& ( ~ is_aligned(X30,X31)
| ~ is_aligned(X30,X32)
| ~ dissimilar(X30,X31,X32) )
& ( is_aligned(X30,X31)
| is_aligned(X30,X32)
| ~ dissimilar(X30,X31,X32) )
& ( ~ is_aligned(X30,X31)
| is_aligned(X30,X32)
| ~ organization(X30)
| dissimilar(X30,X31,X32) )
& ( ~ is_aligned(X30,X32)
| is_aligned(X30,X31)
| ~ organization(X30)
| dissimilar(X30,X31,X32) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[definition_2])])]) ).
cnf(c_0_37,negated_conjecture,
( dissimilar(esk5_0,esk6_0,X1)
| ~ greater(age(esk5_0,X1),sigma) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28])]) ).
cnf(c_0_38,negated_conjecture,
greater(age(esk5_0,esk9_0),sigma),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_39,plain,
( is_aligned(X1,X2)
| ~ organization(X1)
| age(X1,X2) != zero ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
fof(c_0_40,plain,
! [X1,X4] :
( ( organization(X1)
& ~ has_endowment(X1) )
=> ~ has_immunity(X1,X4) ),
inference(fof_simplification,[status(thm)],[assumption_1]) ).
cnf(c_0_41,plain,
( smaller(X1,X2)
| X1 = X2
| ~ smaller_or_equal(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_42,negated_conjecture,
smaller_or_equal(age(esk5_0,esk7_0),sigma),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_43,plain,
( is_aligned(X1,X2)
| hazard_of_mortality(X1,X2) = mod1
| ~ positional_advantage(X1,X2)
| ~ epred1_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_44,plain,
( has_immunity(X1,X2)
| epred1_2(X2,X1)
| ~ organization(X1) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_45,plain,
( positional_advantage(X1,X2)
| ~ greater(age(X1,X2),tau)
| ~ robust_position(X1) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_46,negated_conjecture,
robust_position(esk5_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_47,plain,
( ~ is_aligned(X1,X2)
| ~ is_aligned(X1,X3)
| ~ dissimilar(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_48,negated_conjecture,
dissimilar(esk5_0,esk6_0,esk9_0),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_49,negated_conjecture,
is_aligned(esk5_0,esk6_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_27]),c_0_28])]) ).
cnf(c_0_50,plain,
( positional_advantage(X1,X2)
| hazard_of_mortality(X1,X2) = mod2
| ~ is_aligned(X1,X2)
| ~ epred1_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
fof(c_0_51,plain,
! [X28,X29] :
( ~ organization(X28)
| has_endowment(X28)
| ~ has_immunity(X28,X29) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_40])]) ).
cnf(c_0_52,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_53,plain,
( greater(age(X1,X3),sigma)
| ~ dissimilar(X1,X2,X3)
| ~ organization(X1)
| age(X1,X2) != zero ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_54,plain,
( organization(X1)
| ~ dissimilar(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_55,plain,
( is_aligned(X1,X3)
| dissimilar(X1,X2,X3)
| ~ is_aligned(X1,X2)
| ~ organization(X1) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_56,negated_conjecture,
( age(esk5_0,esk7_0) = sigma
| smaller(age(esk5_0,esk7_0),sigma) ),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_57,plain,
( hazard_of_mortality(X1,X2) = mod1
| is_aligned(X1,X2)
| has_immunity(X1,X2)
| ~ positional_advantage(X1,X2)
| ~ organization(X1) ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_58,negated_conjecture,
positional_advantage(esk5_0,esk9_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_30]),c_0_46])]) ).
cnf(c_0_59,negated_conjecture,
~ is_aligned(esk5_0,esk9_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_49])]) ).
cnf(c_0_60,plain,
( hazard_of_mortality(X1,X2) = mod2
| positional_advantage(X1,X2)
| has_immunity(X1,X2)
| ~ is_aligned(X1,X2)
| ~ organization(X1) ),
inference(spm,[status(thm)],[c_0_50,c_0_44]) ).
cnf(c_0_61,plain,
( smaller(X2,X1)
| ~ greater(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_62,negated_conjecture,
greater(tau,zero),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_63,plain,
( has_endowment(X1)
| ~ organization(X1)
| ~ has_immunity(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_64,plain,
( hazard_of_mortality(X1,X2) = high
| positional_advantage(X1,X2)
| is_aligned(X1,X2)
| has_immunity(X1,X2)
| ~ organization(X1) ),
inference(spm,[status(thm)],[c_0_52,c_0_44]) ).
cnf(c_0_65,plain,
( greater(age(X1,X2),sigma)
| age(X1,X3) != zero
| ~ dissimilar(X1,X3,X2) ),
inference(csr,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_66,negated_conjecture,
( is_aligned(esk5_0,X1)
| dissimilar(esk5_0,esk6_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_49]),c_0_28])]) ).
cnf(c_0_67,negated_conjecture,
( age(esk5_0,esk7_0) = sigma
| greater(sigma,age(esk5_0,esk7_0)) ),
inference(spm,[status(thm)],[c_0_17,c_0_56]) ).
cnf(c_0_68,negated_conjecture,
( hazard_of_mortality(esk5_0,esk9_0) = mod1
| has_immunity(esk5_0,esk9_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_28])]),c_0_59]) ).
cnf(c_0_69,negated_conjecture,
~ has_endowment(esk5_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_70,negated_conjecture,
( hazard_of_mortality(esk5_0,esk6_0) = mod2
| positional_advantage(esk5_0,esk6_0)
| has_immunity(esk5_0,esk6_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_49]),c_0_28])]) ).
cnf(c_0_71,plain,
( smaller_or_equal(X1,X2)
| ~ smaller(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_72,negated_conjecture,
smaller(zero,tau),
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
cnf(c_0_73,plain,
( hazard_of_mortality(X1,X2) = high
| positional_advantage(X1,X2)
| is_aligned(X1,X2)
| has_endowment(X1)
| ~ organization(X1) ),
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_74,negated_conjecture,
greater(age(esk5_0,esk8_0),sigma),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_75,negated_conjecture,
( is_aligned(esk5_0,X1)
| greater(age(esk5_0,X1),sigma) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_27])]) ).
cnf(c_0_76,negated_conjecture,
( age(esk5_0,esk7_0) = sigma
| greater(X1,age(esk5_0,esk7_0))
| ~ greater(X1,sigma) ),
inference(spm,[status(thm)],[c_0_21,c_0_67]) ).
cnf(c_0_77,negated_conjecture,
( ~ smaller(hazard_of_mortality(esk5_0,esk9_0),hazard_of_mortality(esk5_0,esk7_0))
| ~ smaller(hazard_of_mortality(esk5_0,esk7_0),hazard_of_mortality(esk5_0,esk8_0))
| hazard_of_mortality(esk5_0,esk7_0) != hazard_of_mortality(esk5_0,esk6_0) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_78,negated_conjecture,
hazard_of_mortality(esk5_0,esk9_0) = mod1,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_68]),c_0_28])]),c_0_69]) ).
cnf(c_0_79,plain,
( ~ smaller_or_equal(age(X1,X2),tau)
| ~ positional_advantage(X1,X2)
| ~ robust_position(X1) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_80,negated_conjecture,
( hazard_of_mortality(esk5_0,esk6_0) = mod2
| positional_advantage(esk5_0,esk6_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_70]),c_0_28])]),c_0_69]) ).
cnf(c_0_81,negated_conjecture,
smaller_or_equal(zero,tau),
inference(spm,[status(thm)],[c_0_71,c_0_72]) ).
cnf(c_0_82,negated_conjecture,
( hazard_of_mortality(esk5_0,X1) = high
| positional_advantage(esk5_0,X1)
| is_aligned(esk5_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_73]),c_0_28])]) ).
cnf(c_0_83,negated_conjecture,
dissimilar(esk5_0,esk6_0,esk8_0),
inference(spm,[status(thm)],[c_0_37,c_0_74]) ).
cnf(c_0_84,plain,
( hazard_of_mortality(esk5_0,X1) = mod2
| positional_advantage(esk5_0,X1)
| has_immunity(esk5_0,X1)
| greater(age(esk5_0,X1),sigma) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_75]),c_0_28])]) ).
cnf(c_0_85,negated_conjecture,
( age(esk5_0,esk7_0) = sigma
| greater(tau,age(esk5_0,esk7_0)) ),
inference(spm,[status(thm)],[c_0_76,c_0_22]) ).
fof(c_0_86,plain,
! [X15,X16] :
( ~ greater(X15,X16)
| ~ greater(X16,X15) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[meaning_postulate_greater_strict])]) ).
cnf(c_0_87,negated_conjecture,
( hazard_of_mortality(esk5_0,esk6_0) != hazard_of_mortality(esk5_0,esk7_0)
| ~ smaller(hazard_of_mortality(esk5_0,esk7_0),hazard_of_mortality(esk5_0,esk8_0))
| ~ smaller(mod1,hazard_of_mortality(esk5_0,esk7_0)) ),
inference(rw,[status(thm)],[c_0_77,c_0_78]) ).
cnf(c_0_88,negated_conjecture,
hazard_of_mortality(esk5_0,esk6_0) = mod2,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_46]),c_0_27]),c_0_81])]) ).
cnf(c_0_89,negated_conjecture,
( hazard_of_mortality(esk5_0,X1) = high
| is_aligned(esk5_0,X1)
| ~ smaller_or_equal(age(esk5_0,X1),tau) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_82]),c_0_46])]) ).
cnf(c_0_90,negated_conjecture,
smaller_or_equal(age(esk5_0,esk8_0),tau),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_91,negated_conjecture,
~ is_aligned(esk5_0,esk8_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_83]),c_0_49])]) ).
cnf(c_0_92,plain,
( hazard_of_mortality(esk5_0,X1) = mod2
| positional_advantage(esk5_0,X1)
| greater(age(esk5_0,X1),sigma) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_84]),c_0_28])]),c_0_69]) ).
cnf(c_0_93,negated_conjecture,
( age(esk5_0,esk7_0) = sigma
| smaller(age(esk5_0,esk7_0),tau) ),
inference(spm,[status(thm)],[c_0_61,c_0_85]) ).
cnf(c_0_94,plain,
( ~ greater(X1,X2)
| ~ greater(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_86]) ).
cnf(c_0_95,negated_conjecture,
( hazard_of_mortality(esk5_0,esk7_0) != mod2
| ~ smaller(hazard_of_mortality(esk5_0,esk7_0),hazard_of_mortality(esk5_0,esk8_0))
| ~ smaller(mod1,hazard_of_mortality(esk5_0,esk7_0)) ),
inference(rw,[status(thm)],[c_0_87,c_0_88]) ).
cnf(c_0_96,negated_conjecture,
hazard_of_mortality(esk5_0,esk8_0) = high,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_91]) ).
cnf(c_0_97,plain,
( hazard_of_mortality(esk5_0,X1) = mod2
| greater(age(esk5_0,X1),sigma)
| ~ smaller_or_equal(age(esk5_0,X1),tau) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_92]),c_0_46])]) ).
cnf(c_0_98,negated_conjecture,
( age(esk5_0,esk7_0) = sigma
| smaller_or_equal(age(esk5_0,esk7_0),tau) ),
inference(spm,[status(thm)],[c_0_71,c_0_93]) ).
cnf(c_0_99,negated_conjecture,
( age(esk5_0,esk7_0) = sigma
| ~ greater(age(esk5_0,esk7_0),sigma) ),
inference(spm,[status(thm)],[c_0_94,c_0_67]) ).
cnf(c_0_100,plain,
greater(high,mod2),
inference(split_conjunct,[status(thm)],[assumption_18d]) ).
cnf(c_0_101,plain,
greater(mod2,mod1),
inference(split_conjunct,[status(thm)],[assumption_19]) ).
cnf(c_0_102,negated_conjecture,
( hazard_of_mortality(esk5_0,esk7_0) != mod2
| ~ smaller(hazard_of_mortality(esk5_0,esk7_0),high)
| ~ smaller(mod1,hazard_of_mortality(esk5_0,esk7_0)) ),
inference(rw,[status(thm)],[c_0_95,c_0_96]) ).
cnf(c_0_103,negated_conjecture,
( age(esk5_0,esk7_0) = sigma
| hazard_of_mortality(esk5_0,esk7_0) = mod2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_98]),c_0_99]) ).
cnf(c_0_104,plain,
smaller(mod2,high),
inference(spm,[status(thm)],[c_0_61,c_0_100]) ).
cnf(c_0_105,plain,
smaller(mod1,mod2),
inference(spm,[status(thm)],[c_0_61,c_0_101]) ).
cnf(c_0_106,negated_conjecture,
age(esk5_0,esk7_0) = sigma,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_103]),c_0_104]),c_0_105])]) ).
cnf(c_0_107,negated_conjecture,
smaller_or_equal(sigma,tau),
inference(spm,[status(thm)],[c_0_71,c_0_18]) ).
cnf(c_0_108,plain,
( hazard_of_mortality(esk5_0,esk7_0) = mod2
| greater(sigma,sigma) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_106]),c_0_107])]) ).
cnf(c_0_109,negated_conjecture,
greater(sigma,sigma),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_108]),c_0_104]),c_0_105])]) ).
cnf(c_0_110,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_109]),c_0_109])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : MGT063+1 : TPTP v8.1.2. Released v2.4.0.
% 0.12/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.34 % Computer : n027.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Aug 28 06:42:37 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.57 start to proof: theBenchmark
% 1.59/1.67 % Version : CSE_E---1.5
% 1.59/1.67 % Problem : theBenchmark.p
% 1.59/1.67 % Proof found
% 1.59/1.67 % SZS status Theorem for theBenchmark.p
% 1.59/1.67 % SZS output start Proof
% See solution above
% 1.59/1.68 % Total time : 1.091000 s
% 1.59/1.68 % SZS output end Proof
% 1.59/1.68 % Total time : 1.094000 s
%------------------------------------------------------------------------------