TSTP Solution File: MGT060-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% 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/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n009.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 : Unsatisfiable 0.52s 0.68s
% Output : CNFRefutation 0.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 31
% Syntax : Number of formulae : 59 ( 21 unt; 17 typ; 0 def)
% Number of atoms : 105 ( 29 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 100 ( 37 ~; 63 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 17 ( 9 >; 8 *; 0 +; 0 <<)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 8 con; 0-2 aty)
% Number of variables : 36 ( 0 sgn; 0 !; 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,
sk1: $i ).
tff(decl_37,type,
sk2: $i ).
tff(decl_38,type,
sk3: $i ).
cnf(assumption_17_32,axiom,
( hazard_of_mortality(X1,X2) = very_low
| ~ organization(X1)
| ~ has_immunity(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_17_32) ).
cnf(assumption_3_42,negated_conjecture,
organization(sk1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_3_42) ).
cnf(assumption_17_33,axiom,
( has_immunity(X1,X2)
| hazard_of_mortality(X1,X2) = low
| ~ organization(X1)
| ~ is_aligned(X1,X2)
| ~ positional_advantage(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_17_33) ).
cnf(assumption_17_35,axiom,
( has_immunity(X1,X2)
| positional_advantage(X1,X2)
| hazard_of_mortality(X1,X2) = mod2
| ~ organization(X1)
| ~ is_aligned(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_17_35) ).
cnf(assumption_17_34,axiom,
( has_immunity(X1,X2)
| is_aligned(X1,X2)
| hazard_of_mortality(X1,X2) = mod1
| ~ organization(X1)
| ~ positional_advantage(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_17_34) ).
cnf(assumption_17_36,axiom,
( has_immunity(X1,X2)
| is_aligned(X1,X2)
| positional_advantage(X1,X2)
| hazard_of_mortality(X1,X2) = high
| ~ organization(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_17_36) ).
cnf(assumption_3_45,negated_conjecture,
~ greater(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_3_45) ).
cnf(assumption_3_43,negated_conjecture,
has_immunity(sk1,sk2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_3_43) ).
cnf(meaning_postulate_greater_transitive_10,axiom,
( greater(X1,X3)
| ~ greater(X1,X2)
| ~ greater(X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/MGT001-0.ax',meaning_postulate_greater_transitive_10) ).
cnf(assumption_18c_39,axiom,
greater(low,very_low),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_18c_39) ).
cnf(assumption_18e_41,axiom,
greater(mod2,low),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_18e_41) ).
cnf(assumption_18d_40,axiom,
greater(high,mod2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_18d_40) ).
cnf(assumption_3_44,negated_conjecture,
~ has_immunity(sk1,sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_3_44) ).
cnf(assumption_18b_38,axiom,
greater(mod1,low),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_18b_38) ).
cnf(c_0_14,axiom,
( hazard_of_mortality(X1,X2) = very_low
| ~ organization(X1)
| ~ has_immunity(X1,X2) ),
assumption_17_32 ).
cnf(c_0_15,negated_conjecture,
organization(sk1),
assumption_3_42 ).
cnf(c_0_16,axiom,
( has_immunity(X1,X2)
| hazard_of_mortality(X1,X2) = low
| ~ organization(X1)
| ~ is_aligned(X1,X2)
| ~ positional_advantage(X1,X2) ),
assumption_17_33 ).
cnf(c_0_17,axiom,
( has_immunity(X1,X2)
| positional_advantage(X1,X2)
| hazard_of_mortality(X1,X2) = mod2
| ~ organization(X1)
| ~ is_aligned(X1,X2) ),
assumption_17_35 ).
cnf(c_0_18,axiom,
( has_immunity(X1,X2)
| is_aligned(X1,X2)
| hazard_of_mortality(X1,X2) = mod1
| ~ organization(X1)
| ~ positional_advantage(X1,X2) ),
assumption_17_34 ).
cnf(c_0_19,axiom,
( has_immunity(X1,X2)
| is_aligned(X1,X2)
| positional_advantage(X1,X2)
| hazard_of_mortality(X1,X2) = high
| ~ organization(X1) ),
assumption_17_36 ).
cnf(c_0_20,negated_conjecture,
~ greater(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2)),
assumption_3_45 ).
cnf(c_0_21,negated_conjecture,
( hazard_of_mortality(sk1,X1) = very_low
| ~ has_immunity(sk1,X1) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_22,negated_conjecture,
has_immunity(sk1,sk2),
assumption_3_43 ).
cnf(c_0_23,axiom,
( greater(X1,X3)
| ~ greater(X1,X2)
| ~ greater(X2,X3) ),
meaning_postulate_greater_transitive_10 ).
cnf(c_0_24,axiom,
greater(low,very_low),
assumption_18c_39 ).
cnf(c_0_25,plain,
( hazard_of_mortality(X1,X2) = mod2
| hazard_of_mortality(X1,X2) = low
| has_immunity(X1,X2)
| ~ is_aligned(X1,X2)
| ~ organization(X1) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_26,plain,
( hazard_of_mortality(X1,X2) = high
| hazard_of_mortality(X1,X2) = mod1
| is_aligned(X1,X2)
| has_immunity(X1,X2)
| ~ organization(X1) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_27,axiom,
greater(mod2,low),
assumption_18e_41 ).
cnf(c_0_28,negated_conjecture,
~ greater(hazard_of_mortality(sk1,sk3),very_low),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22])]) ).
cnf(c_0_29,plain,
( greater(X1,very_low)
| ~ greater(X1,low) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_30,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
| has_immunity(X1,X2)
| ~ organization(X1) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_31,plain,
( greater(X1,low)
| ~ greater(X1,mod2) ),
inference(spm,[status(thm)],[c_0_23,c_0_27]) ).
cnf(c_0_32,axiom,
greater(high,mod2),
assumption_18d_40 ).
cnf(c_0_33,negated_conjecture,
~ greater(hazard_of_mortality(sk1,sk3),low),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_34,negated_conjecture,
( hazard_of_mortality(sk1,X1) = mod2
| hazard_of_mortality(sk1,X1) = low
| hazard_of_mortality(sk1,X1) = high
| hazard_of_mortality(sk1,X1) = mod1
| has_immunity(sk1,X1) ),
inference(spm,[status(thm)],[c_0_30,c_0_15]) ).
cnf(c_0_35,plain,
greater(high,low),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_36,negated_conjecture,
~ has_immunity(sk1,sk3),
assumption_3_44 ).
cnf(c_0_37,negated_conjecture,
( hazard_of_mortality(sk1,sk3) = mod1
| hazard_of_mortality(sk1,sk3) = low
| hazard_of_mortality(sk1,sk3) = mod2 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_35])]),c_0_36]) ).
cnf(c_0_38,negated_conjecture,
( hazard_of_mortality(sk1,sk3) = low
| hazard_of_mortality(sk1,sk3) = mod1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_37]),c_0_27])]) ).
cnf(c_0_39,axiom,
greater(mod1,low),
assumption_18b_38 ).
cnf(c_0_40,negated_conjecture,
hazard_of_mortality(sk1,sk3) = low,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_38]),c_0_39])]) ).
cnf(c_0_41,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_28,c_0_40]),c_0_24])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : MGT060-1 : TPTP v8.1.2. Released v2.4.0.
% 0.03/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n009.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 28 06:14:20 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.52/0.57 start to proof: theBenchmark
% 0.52/0.68 % Version : CSE_E---1.5
% 0.52/0.68 % Problem : theBenchmark.p
% 0.52/0.68 % Proof found
% 0.52/0.68 % SZS status Theorem for theBenchmark.p
% 0.52/0.68 % SZS output start Proof
% See solution above
% 0.52/0.69 % Total time : 0.105000 s
% 0.52/0.69 % SZS output end Proof
% 0.52/0.69 % Total time : 0.108000 s
%------------------------------------------------------------------------------