TSTP Solution File: MGT060+1 by CSE_E---1.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : MGT060+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 : n018.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 09:08:45 EDT 2023
% Result : Theorem 0.15s 0.55s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 26
% Syntax : Number of formulae : 64 ( 19 unt; 18 typ; 0 def)
% Number of atoms : 159 ( 43 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 168 ( 55 ~; 55 |; 35 &)
% ( 1 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 19 ( 10 >; 9 *; 0 +; 0 <<)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 8 con; 0-2 aty)
% Number of variables : 48 ( 0 sgn; 24 !; 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_immunity: ( $i * $i ) > $o ).
tff(decl_28,type,
hazard_of_mortality: ( $i * $i ) > $i ).
tff(decl_29,type,
very_low: $i ).
tff(decl_30,type,
is_aligned: ( $i * $i ) > $o ).
tff(decl_31,type,
positional_advantage: ( $i * $i ) > $o ).
tff(decl_32,type,
low: $i ).
tff(decl_33,type,
mod1: $i ).
tff(decl_34,type,
mod2: $i ).
tff(decl_35,type,
high: $i ).
tff(decl_36,type,
epred1_2: ( $i * $i ) > $o ).
tff(decl_37,type,
esk1_0: $i ).
tff(decl_38,type,
esk2_0: $i ).
tff(decl_39,type,
esk3_0: $i ).
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(assumption_3,conjecture,
! [X1,X5,X4] :
( ( organization(X1)
& has_immunity(X1,X5)
& ~ has_immunity(X1,X4) )
=> greater(hazard_of_mortality(X1,X4),hazard_of_mortality(X1,X5)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_3) ).
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_18c,axiom,
greater(low,very_low),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_18c) ).
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(assumption_18b,axiom,
greater(mod1,low),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_18b) ).
fof(c_0_7,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_8,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_7]) ).
fof(c_0_9,negated_conjecture,
~ ! [X1,X5,X4] :
( ( organization(X1)
& has_immunity(X1,X5)
& ~ has_immunity(X1,X4) )
=> greater(hazard_of_mortality(X1,X4),hazard_of_mortality(X1,X5)) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[assumption_3])]) ).
fof(c_0_10,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_7]) ).
fof(c_0_11,plain,
! [X19,X20] :
( ( ~ has_immunity(X19,X20)
| hazard_of_mortality(X19,X20) = very_low
| ~ organization(X19) )
& ( has_immunity(X19,X20)
| epred1_2(X20,X19)
| ~ organization(X19) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])]) ).
fof(c_0_12,negated_conjecture,
( organization(esk1_0)
& has_immunity(esk1_0,esk2_0)
& ~ has_immunity(esk1_0,esk3_0)
& ~ greater(hazard_of_mortality(esk1_0,esk3_0),hazard_of_mortality(esk1_0,esk2_0)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])]) ).
fof(c_0_13,plain,
! [X24,X25] :
( ( ~ is_aligned(X24,X25)
| ~ positional_advantage(X24,X25)
| hazard_of_mortality(X24,X25) = low
| ~ epred1_2(X25,X24) )
& ( is_aligned(X24,X25)
| ~ positional_advantage(X24,X25)
| hazard_of_mortality(X24,X25) = mod1
| ~ epred1_2(X25,X24) )
& ( ~ is_aligned(X24,X25)
| positional_advantage(X24,X25)
| hazard_of_mortality(X24,X25) = mod2
| ~ epred1_2(X25,X24) )
& ( is_aligned(X24,X25)
| positional_advantage(X24,X25)
| hazard_of_mortality(X24,X25) = high
| ~ epred1_2(X25,X24) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])]) ).
cnf(c_0_14,plain,
( hazard_of_mortality(X1,X2) = very_low
| ~ has_immunity(X1,X2)
| ~ organization(X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_15,negated_conjecture,
has_immunity(esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_16,negated_conjecture,
organization(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_17,plain,
! [X14,X15,X16] :
( ~ greater(X14,X15)
| ~ greater(X15,X16)
| greater(X14,X16) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[meaning_postulate_greater_transitive])]) ).
cnf(c_0_18,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_13]) ).
cnf(c_0_19,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_13]) ).
cnf(c_0_20,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_13]) ).
cnf(c_0_21,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_13]) ).
cnf(c_0_22,plain,
( has_immunity(X1,X2)
| epred1_2(X2,X1)
| ~ organization(X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_23,negated_conjecture,
~ greater(hazard_of_mortality(esk1_0,esk3_0),hazard_of_mortality(esk1_0,esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_24,negated_conjecture,
hazard_of_mortality(esk1_0,esk2_0) = very_low,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16])]) ).
cnf(c_0_25,plain,
( greater(X1,X3)
| ~ greater(X1,X2)
| ~ greater(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_26,plain,
greater(low,very_low),
inference(split_conjunct,[status(thm)],[assumption_18c]) ).
cnf(c_0_27,plain,
( hazard_of_mortality(X1,X2) = mod2
| hazard_of_mortality(X1,X2) = low
| ~ epred1_2(X2,X1)
| ~ is_aligned(X1,X2) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_28,plain,
( hazard_of_mortality(X1,X2) = high
| hazard_of_mortality(X1,X2) = mod1
| is_aligned(X1,X2)
| ~ epred1_2(X2,X1) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_29,negated_conjecture,
~ has_immunity(esk1_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_30,negated_conjecture,
( epred1_2(X1,esk1_0)
| has_immunity(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_22,c_0_16]) ).
cnf(c_0_31,plain,
greater(mod2,low),
inference(split_conjunct,[status(thm)],[assumption_18e]) ).
cnf(c_0_32,negated_conjecture,
~ greater(hazard_of_mortality(esk1_0,esk3_0),very_low),
inference(rw,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_33,plain,
( greater(X1,very_low)
| ~ greater(X1,low) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_34,plain,
( hazard_of_mortality(X1,X2) = mod1
| hazard_of_mortality(X1,X2) = high
| hazard_of_mortality(X1,X2) = low
| hazard_of_mortality(X1,X2) = mod2
| ~ epred1_2(X2,X1) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_35,negated_conjecture,
epred1_2(esk3_0,esk1_0),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_36,plain,
( greater(X1,low)
| ~ greater(X1,mod2) ),
inference(spm,[status(thm)],[c_0_25,c_0_31]) ).
cnf(c_0_37,plain,
greater(high,mod2),
inference(split_conjunct,[status(thm)],[assumption_18d]) ).
cnf(c_0_38,negated_conjecture,
~ greater(hazard_of_mortality(esk1_0,esk3_0),low),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_39,negated_conjecture,
( hazard_of_mortality(esk1_0,esk3_0) = mod2
| hazard_of_mortality(esk1_0,esk3_0) = low
| hazard_of_mortality(esk1_0,esk3_0) = high
| hazard_of_mortality(esk1_0,esk3_0) = mod1 ),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_40,plain,
greater(high,low),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_41,negated_conjecture,
( hazard_of_mortality(esk1_0,esk3_0) = mod1
| hazard_of_mortality(esk1_0,esk3_0) = low
| hazard_of_mortality(esk1_0,esk3_0) = mod2 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_40])]) ).
cnf(c_0_42,negated_conjecture,
( hazard_of_mortality(esk1_0,esk3_0) = low
| hazard_of_mortality(esk1_0,esk3_0) = mod1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_41]),c_0_31])]) ).
cnf(c_0_43,plain,
greater(mod1,low),
inference(split_conjunct,[status(thm)],[assumption_18b]) ).
cnf(c_0_44,negated_conjecture,
hazard_of_mortality(esk1_0,esk3_0) = low,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_42]),c_0_43])]) ).
cnf(c_0_45,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_32,c_0_44]),c_0_26])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : MGT060+1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.10 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.09/0.30 % Computer : n018.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Mon Aug 28 06:21:01 EDT 2023
% 0.09/0.30 % CPUTime :
% 0.15/0.52 start to proof: theBenchmark
% 0.15/0.55 % Version : CSE_E---1.5
% 0.15/0.55 % Problem : theBenchmark.p
% 0.15/0.55 % Proof found
% 0.15/0.55 % SZS status Theorem for theBenchmark.p
% 0.15/0.55 % SZS output start Proof
% See solution above
% 0.15/0.55 % Total time : 0.019000 s
% 0.15/0.55 % SZS output end Proof
% 0.15/0.55 % Total time : 0.022000 s
%------------------------------------------------------------------------------