%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : MGT060+1 : TPTP v9.2.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n005.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 04:48:23 PM UTC 2026
% Result : Theorem 1.26s 1.72s
% Output : CNFRefutation 1.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 8
% Syntax : Number of formulae : 48 ( 19 unt; 0 def)
% Number of atoms : 162 ( 43 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 167 ( 53 ~; 56 |; 35 &)
% ( 1 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 8 con; 0-2 aty)
% Number of variables : 42 ( 0 sgn 24 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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/sandbox/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/sandbox/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/sandbox/benchmark/Axioms/MGT001+0.ax',meaning_postulate_greater_transitive) ).
fof(assumption_18c,axiom,
greater(low,very_low),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_18c) ).
fof(assumption_18e,axiom,
greater(mod2,low),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_18e) ).
fof(assumption_18d,axiom,
greater(high,mod2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_18d) ).
fof(assumption_18b,axiom,
greater(mod1,low),
file('/export/starexec/sandbox/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,
! [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_8])])]) ).
fof(c_0_11,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_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 ) ) ),
inference(split_equiv,[status(thm)],[c_0_7]) ).
cnf(c_0_13,plain,
( has_immunity(X1,X2)
| epred1_2(X2,X1)
| ~ organization(X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_14,negated_conjecture,
organization(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_15,plain,
! [X42,X43] :
( ( ~ is_aligned(X42,X43)
| ~ positional_advantage(X42,X43)
| hazard_of_mortality(X42,X43) = low
| ~ epred1_2(X43,X42) )
& ( is_aligned(X42,X43)
| ~ positional_advantage(X42,X43)
| hazard_of_mortality(X42,X43) = mod1
| ~ epred1_2(X43,X42) )
& ( ~ is_aligned(X42,X43)
| positional_advantage(X42,X43)
| hazard_of_mortality(X42,X43) = mod2
| ~ epred1_2(X43,X42) )
& ( is_aligned(X42,X43)
| positional_advantage(X42,X43)
| hazard_of_mortality(X42,X43) = high
| ~ epred1_2(X43,X42) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])]) ).
cnf(c_0_16,negated_conjecture,
~ has_immunity(esk1_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_17,negated_conjecture,
( epred1_2(X1,esk1_0)
| has_immunity(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_18,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_15]) ).
cnf(c_0_19,negated_conjecture,
epred1_2(esk3_0,esk1_0),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_20,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_15]) ).
cnf(c_0_21,plain,
( hazard_of_mortality(X1,X2) = very_low
| ~ has_immunity(X1,X2)
| ~ organization(X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_22,negated_conjecture,
has_immunity(esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_23,plain,
! [X32,X33,X34] :
( ~ greater(X32,X33)
| ~ greater(X33,X34)
| greater(X32,X34) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[meaning_postulate_greater_transitive])]) ).
cnf(c_0_24,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_15]) ).
cnf(c_0_25,negated_conjecture,
( hazard_of_mortality(esk1_0,esk3_0) = mod1
| is_aligned(esk1_0,esk3_0)
| ~ positional_advantage(esk1_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_26,negated_conjecture,
( hazard_of_mortality(esk1_0,esk3_0) = high
| positional_advantage(esk1_0,esk3_0)
| is_aligned(esk1_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_20,c_0_19]) ).
cnf(c_0_27,negated_conjecture,
~ greater(hazard_of_mortality(esk1_0,esk3_0),hazard_of_mortality(esk1_0,esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_28,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_21,c_0_22]),c_0_14])]) ).
cnf(c_0_29,plain,
( greater(X1,X3)
| ~ greater(X1,X2)
| ~ greater(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_30,plain,
greater(low,very_low),
inference(split_conjunct,[status(thm)],[assumption_18c]) ).
cnf(c_0_31,negated_conjecture,
( hazard_of_mortality(esk1_0,esk3_0) = mod2
| positional_advantage(esk1_0,esk3_0)
| ~ is_aligned(esk1_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_24,c_0_19]) ).
cnf(c_0_32,negated_conjecture,
( hazard_of_mortality(esk1_0,esk3_0) = high
| hazard_of_mortality(esk1_0,esk3_0) = mod1
| is_aligned(esk1_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_33,plain,
greater(mod2,low),
inference(split_conjunct,[status(thm)],[assumption_18e]) ).
cnf(c_0_34,negated_conjecture,
~ greater(hazard_of_mortality(esk1_0,esk3_0),very_low),
inference(rw,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_35,plain,
( greater(X1,very_low)
| ~ greater(X1,low) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_36,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_15]) ).
cnf(c_0_37,negated_conjecture,
( hazard_of_mortality(esk1_0,esk3_0) = mod1
| hazard_of_mortality(esk1_0,esk3_0) = high
| hazard_of_mortality(esk1_0,esk3_0) = mod2
| positional_advantage(esk1_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_38,plain,
( greater(X1,low)
| ~ greater(X1,mod2) ),
inference(spm,[status(thm)],[c_0_29,c_0_33]) ).
cnf(c_0_39,plain,
greater(high,mod2),
inference(split_conjunct,[status(thm)],[assumption_18d]) ).
cnf(c_0_40,negated_conjecture,
~ greater(hazard_of_mortality(esk1_0,esk3_0),low),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_41,plain,
( hazard_of_mortality(esk1_0,esk3_0) = mod2
| hazard_of_mortality(esk1_0,esk3_0) = high
| hazard_of_mortality(esk1_0,esk3_0) = mod1
| hazard_of_mortality(esk1_0,esk3_0) = low ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_19])]),c_0_32]) ).
cnf(c_0_42,plain,
greater(high,low),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_43,negated_conjecture,
( hazard_of_mortality(esk1_0,esk3_0) = low
| hazard_of_mortality(esk1_0,esk3_0) = mod1
| hazard_of_mortality(esk1_0,esk3_0) = mod2 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_42])]) ).
cnf(c_0_44,negated_conjecture,
( hazard_of_mortality(esk1_0,esk3_0) = mod1
| hazard_of_mortality(esk1_0,esk3_0) = low ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_43]),c_0_33])]) ).
cnf(c_0_45,plain,
greater(mod1,low),
inference(split_conjunct,[status(thm)],[assumption_18b]) ).
cnf(c_0_46,negated_conjecture,
hazard_of_mortality(esk1_0,esk3_0) = low,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_44]),c_0_45])]) ).
cnf(c_0_47,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_34,c_0_46]),c_0_30])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : MGT060+1 : TPTP v9.2.1. Released v2.4.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.33 % Computer : n005.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Mon May 4 23:31:30 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 1.26/1.72 % Version : CSE_E---1.7
% 1.26/1.72 % Problem : theBenchmark.p
% 1.26/1.72 % SZS status Theorem for theBenchmark.p
% 1.26/1.72 % SZS output start CNFRefutation
% See solution above
% 1.26/1.72 % Total time : 1.368s
%------------------------------------------------------------------------------