%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : MGT054-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 01:25:28 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.41s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 30
% Syntax : Number of formulae : 95 ( 16 unt; 11 def)
% Number of atoms : 243 ( 15 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 277 ( 129 ~; 137 |; 0 &)
% ( 11 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 21 ( 19 usr; 12 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 95 ( 95 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B] :
( A = B
| smaller(A,B)
| ~ smaller_or_equal(A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [A,B] :
( greater(B,A)
| ~ smaller(A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [A,B] :
( ~ greater(B,A)
| ~ greater(A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [A,B] :
( ~ has_immunity(A,B)
| has_endowment(A)
| ~ organization(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [A,B,C] :
( greater(hazard_of_mortality(A,C),hazard_of_mortality(A,B))
| has_immunity(A,C)
| ~ has_immunity(A,B)
| ~ organization(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,axiom,
! [A,B,C] :
( organization(A)
| ~ dissimilar(A,B,C) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,axiom,
! [A,B,C] :
( ~ is_aligned(A,C)
| ~ is_aligned(A,B)
| ~ dissimilar(A,B,C) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,axiom,
! [A,B,C] :
( dissimilar(A,B,C)
| is_aligned(A,C)
| ~ is_aligned(A,B)
| ~ organization(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,axiom,
! [A,B] :
( is_aligned(A,B)
| age(A,B) != zero
| ~ organization(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,axiom,
! [A,B,C] :
( greater(capability(A,B),capability(A,C))
| is_aligned(A,C)
| ~ is_aligned(A,B)
| ~ organization(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,axiom,
! [A,B,C] :
( dissimilar(A,B,C)
| ~ greater(age(A,C),sigma)
| age(A,B) != zero
| ~ organization(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,axiom,
! [A,B,C] :
( greater(age(A,C),sigma)
| ~ dissimilar(A,B,C)
| age(A,B) != zero
| ~ organization(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,axiom,
! [A,B,C] :
( greater(hazard_of_mortality(A,B),hazard_of_mortality(A,C))
| ~ greater(capability(A,C),capability(A,B))
| has_immunity(A,C)
| has_immunity(A,B)
| ~ organization(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f26,negated_conjecture,
organization(sk1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f27,negated_conjecture,
~ has_endowment(sk1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,negated_conjecture,
age(sk1,sk2) = zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f29,negated_conjecture,
smaller_or_equal(age(sk1,sk3),sigma),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f30,negated_conjecture,
greater(age(sk1,sk4),sigma),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f32,negated_conjecture,
~ greater(hazard_of_mortality(sk1,sk4),hazard_of_mortality(sk1,sk3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f33,plain,
! [X0,X1] :
( X0 = X1
| smaller(X0,X1)
| ~ smaller_or_equal(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f39,plain,
! [X0,X1] :
( greater(X1,X0)
| ~ smaller(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f41,plain,
! [X0,X1] :
( ~ greater(X1,X0)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f45,plain,
! [A] :
( ! [B] : ~ has_immunity(A,B)
| has_endowment(A)
| ~ organization(A) ),
inference(miniscoping,[status(thm)],[f12]) ).
fof(f46,plain,
! [X0,X1] :
( ~ has_immunity(X0,X1)
| has_endowment(X0)
| ~ organization(X0) ),
inference(cnf_transformation,[status(thm)],[f45]) ).
fof(f47,plain,
! [X0,X1,X2] :
( greater(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1))
| has_immunity(X0,X2)
| ~ has_immunity(X0,X1)
| ~ organization(X0) ),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f48,plain,
! [A] :
( organization(A)
| ! [B,C] : ~ dissimilar(A,B,C) ),
inference(miniscoping,[status(thm)],[f14]) ).
fof(f49,plain,
! [X0,X1,X2] :
( organization(X0)
| ~ dissimilar(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f48]) ).
fof(f52,plain,
! [A,C] :
( ~ is_aligned(A,C)
| ! [B] :
( ~ is_aligned(A,B)
| ~ dissimilar(A,B,C) ) ),
inference(miniscoping,[status(thm)],[f16]) ).
fof(f53,plain,
! [X0,X1,X2] :
( ~ is_aligned(X0,X2)
| ~ is_aligned(X0,X1)
| ~ dissimilar(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f52]) ).
fof(f56,plain,
! [X0,X1,X2] :
( dissimilar(X0,X1,X2)
| is_aligned(X0,X2)
| ~ is_aligned(X0,X1)
| ~ organization(X0) ),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f60,plain,
! [X0,X1] :
( is_aligned(X0,X1)
| age(X0,X1) != zero
| ~ organization(X0) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f61,plain,
! [X0,X1,X2] :
( greater(capability(X0,X1),capability(X0,X2))
| is_aligned(X0,X2)
| ~ is_aligned(X0,X1)
| ~ organization(X0) ),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f62,plain,
! [X0,X1,X2] :
( dissimilar(X0,X1,X2)
| ~ greater(age(X0,X2),sigma)
| age(X0,X1) != zero
| ~ organization(X0) ),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f63,plain,
! [A,C] :
( greater(age(A,C),sigma)
| ! [B] :
( ~ dissimilar(A,B,C)
| age(A,B) != zero
| ~ organization(A) ) ),
inference(miniscoping,[status(thm)],[f24]) ).
fof(f64,plain,
! [X0,X1,X2] :
( greater(age(X0,X2),sigma)
| ~ dissimilar(X0,X1,X2)
| age(X0,X1) != zero
| ~ organization(X0) ),
inference(cnf_transformation,[status(thm)],[f63]) ).
fof(f65,plain,
! [X0,X1,X2] :
( greater(hazard_of_mortality(X0,X1),hazard_of_mortality(X0,X2))
| ~ greater(capability(X0,X2),capability(X0,X1))
| has_immunity(X0,X2)
| has_immunity(X0,X1)
| ~ organization(X0) ),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f66,plain,
organization(sk1),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f67,plain,
~ has_endowment(sk1),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f68,plain,
age(sk1,sk2) = zero,
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f69,plain,
smaller_or_equal(age(sk1,sk3),sigma),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f70,plain,
greater(age(sk1,sk4),sigma),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f72,plain,
~ greater(hazard_of_mortality(sk1,sk4),hazard_of_mortality(sk1,sk3)),
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f77,plain,
( age(sk1,sk3) = sigma
| smaller(age(sk1,sk3),sigma) ),
inference(resolution,[status(thm)],[f33,f69]) ).
fof(f79,definition,
( sQ0_spl
<=> smaller(age(sk1,sk3),sigma) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f80,plain,
( ~ sQ0_spl
| smaller(age(sk1,sk3),sigma) ),
inference(component_clause,[status(thm)],[f79]) ).
fof(f82,definition,
( sQ1_spl
<=> age(sk1,sk3) = sigma ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f83,plain,
( ~ sQ1_spl
| age(sk1,sk3) = sigma ),
inference(component_clause,[status(thm)],[f82]) ).
fof(f85,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f77,f79,f82]) ).
fof(f90,plain,
( is_aligned(sk1,sk2)
| ~ organization(sk1) ),
inference(resolution,[status(thm)],[f60,f68]) ).
fof(f92,definition,
( sQ2_spl
<=> organization(sk1) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f94,plain,
( sQ2_spl
| ~ organization(sk1) ),
inference(component_clause,[status(thm)],[f92]) ).
fof(f95,definition,
( sQ3_spl
<=> is_aligned(sk1,sk2) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f98,plain,
( sQ3_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f90,f92,f95]) ).
fof(f103,plain,
( sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f94,f66]) ).
fof(f104,plain,
sQ2_spl,
inference(contradiction_clause,[status(thm)],[f103]) ).
fof(f105,plain,
! [X0] :
( dissimilar(sk1,sk2,X0)
| ~ greater(age(sk1,X0),sigma)
| ~ organization(sk1) ),
inference(resolution,[status(thm)],[f62,f68]) ).
fof(f107,definition,
! [X0] :
( sQ5_spl
<=> ( dissimilar(sk1,sk2,X0)
| ~ greater(age(sk1,X0),sigma) ) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f108,plain,
! [X0] :
( ~ sQ5_spl
| dissimilar(sk1,sk2,X0)
| ~ greater(age(sk1,X0),sigma) ),
inference(component_clause,[status(thm)],[f107]) ).
fof(f110,plain,
( sQ5_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f105,f92,f107]) ).
fof(f114,plain,
( ~ sQ0_spl
| greater(sigma,age(sk1,sk3)) ),
inference(resolution,[status(thm)],[f39,f80]) ).
fof(f166,definition,
( sQ10_spl
<=> has_immunity(sk1,sk4) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f167,plain,
( ~ sQ10_spl
| has_immunity(sk1,sk4) ),
inference(component_clause,[status(thm)],[f166]) ).
fof(f185,plain,
( ~ sQ0_spl
| ~ greater(age(sk1,sk3),sigma) ),
inference(resolution,[status(thm)],[f114,f41]) ).
fof(f188,plain,
! [X0,X1,X2] :
( greater(age(X0,X2),sigma)
| ~ dissimilar(X0,X1,X2)
| age(X0,X1) != zero ),
inference(forward_subsumption_resolution,[status(thm)],[f64,f49]) ).
fof(f189,plain,
! [X0] :
( greater(age(sk1,X0),sigma)
| ~ dissimilar(sk1,sk2,X0) ),
inference(resolution,[status(thm)],[f188,f68]) ).
fof(f323,definition,
( sQ25_spl
<=> is_aligned(sk1,sk3) ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f367,definition,
( sQ29_spl
<=> greater(sigma,sigma) ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f368,plain,
( ~ sQ29_spl
| greater(sigma,sigma) ),
inference(component_clause,[status(thm)],[f367]) ).
fof(f377,plain,
! [X0,X1,X2] :
( greater(hazard_of_mortality(X0,X1),hazard_of_mortality(X0,X2))
| ~ greater(capability(X0,X2),capability(X0,X1))
| has_immunity(X0,X1)
| ~ organization(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f65,f47]) ).
fof(f378,plain,
! [X0,X1,X2] :
( is_aligned(X0,X1)
| ~ is_aligned(X0,X2)
| ~ organization(X0)
| greater(hazard_of_mortality(X0,X1),hazard_of_mortality(X0,X2))
| has_immunity(X0,X1)
| ~ organization(X0) ),
inference(resolution,[status(thm)],[f377,f61]) ).
fof(f380,plain,
! [X0,X1,X2] :
( is_aligned(X0,X1)
| ~ is_aligned(X0,X2)
| greater(hazard_of_mortality(X0,X1),hazard_of_mortality(X0,X2))
| has_immunity(X0,X1)
| ~ organization(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f378]) ).
fof(f439,plain,
( ~ sQ5_spl
| dissimilar(sk1,sk2,sk4) ),
inference(resolution,[status(thm)],[f108,f70]) ).
fof(f453,plain,
( ~ sQ5_spl
| ~ is_aligned(sk1,sk4)
| ~ is_aligned(sk1,sk2) ),
inference(resolution,[status(thm)],[f439,f53]) ).
fof(f456,definition,
( sQ34_spl
<=> is_aligned(sk1,sk4) ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f459,plain,
( ~ sQ5_spl
| ~ sQ34_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f453,f95,f456,f107]) ).
fof(f476,plain,
( ~ sQ10_spl
| has_endowment(sk1)
| ~ organization(sk1) ),
inference(resolution,[status(thm)],[f167,f46]) ).
fof(f477,definition,
( sQ36_spl
<=> has_endowment(sk1) ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f478,plain,
( ~ sQ36_spl
| has_endowment(sk1) ),
inference(component_clause,[status(thm)],[f477]) ).
fof(f480,plain,
( ~ sQ10_spl
| sQ36_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f476,f92,f477,f166]) ).
fof(f481,plain,
( ~ sQ36_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f478,f67]) ).
fof(f482,plain,
~ sQ36_spl,
inference(contradiction_clause,[status(thm)],[f481]) ).
fof(f579,plain,
( ~ sQ0_spl
| ~ dissimilar(sk1,sk2,sk3) ),
inference(resolution,[status(thm)],[f189,f185]) ).
fof(f589,definition,
( sQ46_spl
<=> dissimilar(sk1,sk2,sk3) ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f591,plain,
( sQ46_spl
| ~ dissimilar(sk1,sk2,sk3) ),
inference(component_clause,[status(thm)],[f589]) ).
fof(f599,plain,
( sQ46_spl
| is_aligned(sk1,sk3)
| ~ is_aligned(sk1,sk2)
| ~ organization(sk1) ),
inference(resolution,[status(thm)],[f591,f56]) ).
fof(f601,plain,
( sQ46_spl
| sQ25_spl
| ~ sQ3_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f599,f92,f95,f323,f589]) ).
fof(f609,plain,
( ~ sQ0_spl
| is_aligned(sk1,sk3)
| ~ is_aligned(sk1,sk2)
| ~ organization(sk1) ),
inference(resolution,[status(thm)],[f579,f56]) ).
fof(f611,plain,
( ~ sQ0_spl
| sQ25_spl
| ~ sQ3_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f609,f92,f95,f323,f79]) ).
fof(f662,plain,
( ~ sQ29_spl
| ~ greater(sigma,sigma) ),
inference(resolution,[status(thm)],[f368,f41]) ).
fof(f663,plain,
~ sQ29_spl,
inference(split_clause,[status(thm)],[f662,f367]) ).
fof(f706,plain,
( ~ sQ1_spl
| greater(sigma,sigma)
| ~ dissimilar(sk1,sk2,sk3) ),
inference(paramodulation,[status(thm)],[f83,f189]) ).
fof(f711,plain,
( ~ sQ1_spl
| sQ29_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f706,f589,f367,f82]) ).
fof(f722,plain,
( is_aligned(sk1,sk4)
| ~ is_aligned(sk1,sk3)
| has_immunity(sk1,sk4)
| ~ organization(sk1) ),
inference(resolution,[status(thm)],[f380,f72]) ).
fof(f730,plain,
( sQ34_spl
| ~ sQ25_spl
| sQ10_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f722,f92,f166,f323,f456]) ).
fof(f732,plain,
$false,
inference(sat_refutation,[status(thm)],[f85,f98,f104,f110,f459,f480,f482,f601,f611,f663,f711,f730]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT054-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n020.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 01:25:03 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.12/0.37 % Drodi V4.1.1
% 0.12/0.41 % Refutation found
% 0.12/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.43 % Elapsed time: 0.074319 seconds
% 0.12/0.43 % CPU time: 0.341446 seconds
% 0.12/0.43 % Total memory used: 102.333 MB
% 0.12/0.43 % Net memory used: 101.760 MB
%------------------------------------------------------------------------------