%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : MGT060-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n017.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 : Fri Sep 25 02:11:53 PM UTC 2026
% Result : Unsatisfiable 29.63s 4.83s
% Output : Proof 29.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 17
% Syntax : Number of formulae : 100 ( 33 unt; 0 def)
% Number of atoms : 261 ( 46 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 247 ( 86 ~; 161 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 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 : 88 ( 0 sgn 38 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f15,axiom,
( hazard_of_mortality(A,B) = high
| positional_advantage(A,B)
| is_aligned(A,B)
| has_immunity(A,B)
| ~ organization(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_17_36) ).
fof(f15_nnf,plain,
! [A,B] :
( hazard_of_mortality(A,B) = high
| positional_advantage(A,B)
| is_aligned(A,B)
| has_immunity(A,B)
| ~ organization(A) ),
inference(nnf_transformation,[status(thm)],[f15]) ).
fof(f15_sk,plain,
! [A,B] :
( hazard_of_mortality(A,B) = high
| positional_advantage(A,B)
| is_aligned(A,B)
| has_immunity(A,B)
| ~ organization(A) ),
inference(skolemisation,[status(esa)],[f15_nnf]) ).
cnf(c15,plain,
( hazard_of_mortality(X0,X1) = high
| positional_advantage(X0,X1)
| is_aligned(X0,X1)
| has_immunity(X0,X1)
| ~ organization(X0) ),
inference(cnf_transformation,[status(esa)],[f15_sk]) ).
cnf(f21,negated_conjecture,
organization(sk1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_3_42) ).
fof(f21_nnf,plain,
organization(sk1),
inference(nnf_transformation,[status(thm)],[f21]) ).
cnf(c21,plain,
organization(sk1),
inference(cnf_transformation,[status(esa)],[f21_nnf]) ).
cnf(p79,plain,
( hazard_of_mortality(sk1,X0) = high
| positional_advantage(sk1,X0)
| is_aligned(sk1,X0)
| has_immunity(sk1,X0) ),
inference(resolution,[status(thm)],[c15,c21]) ).
cnf(f10,axiom,
( greater(A,B)
| A = B
| smaller(A,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meaning_postulate_greater_comparable_11) ).
fof(f10_nnf,plain,
! [A,B] :
( greater(A,B)
| A = B
| smaller(A,B) ),
inference(nnf_transformation,[status(thm)],[f10]) ).
fof(f10_sk,plain,
! [A,B] :
( greater(A,B)
| A = B
| smaller(A,B) ),
inference(skolemisation,[status(esa)],[f10_nnf]) ).
cnf(c10,plain,
( greater(X0,X1)
| X0 = X1
| smaller(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f10_sk]) ).
cnf(f9,axiom,
( greater(A,C)
| ~ greater(B,C)
| ~ greater(A,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meaning_postulate_greater_transitive_10) ).
fof(f9_nnf,plain,
! [A,B,C] :
( greater(A,C)
| ~ greater(B,C)
| ~ greater(A,B) ),
inference(nnf_transformation,[status(thm)],[f9]) ).
fof(f9_sk,plain,
! [A,B,C] :
( greater(A,C)
| ~ greater(B,C)
| ~ greater(A,B) ),
inference(skolemisation,[status(esa)],[f9_nnf]) ).
cnf(c9,plain,
( greater(X0,X2)
| ~ greater(X1,X2)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f9_sk]) ).
cnf(p56,plain,
( greater(X0,X2)
| ~ greater(X1,X2)
| X0 = X1
| smaller(X0,X1) ),
inference(resolution,[status(thm)],[c10,c9]) ).
cnf(f18,axiom,
greater(low,very_low),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_18c_39) ).
fof(f18_nnf,plain,
greater(low,very_low),
inference(nnf_transformation,[status(thm)],[f18]) ).
cnf(c18,plain,
greater(low,very_low),
inference(cnf_transformation,[status(esa)],[f18_nnf]) ).
cnf(p229,plain,
( greater(X0,very_low)
| X0 = low
| smaller(X0,low) ),
inference(resolution,[status(thm)],[p56,c18]) ).
cnf(f11,axiom,
( hazard_of_mortality(A,B) = very_low
| ~ has_immunity(A,B)
| ~ organization(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_17_32) ).
fof(f11_nnf,plain,
! [A,B] :
( hazard_of_mortality(A,B) = very_low
| ~ has_immunity(A,B)
| ~ organization(A) ),
inference(nnf_transformation,[status(thm)],[f11]) ).
fof(f11_sk,plain,
! [A,B] :
( hazard_of_mortality(A,B) = very_low
| ~ has_immunity(A,B)
| ~ organization(A) ),
inference(skolemisation,[status(esa)],[f11_nnf]) ).
cnf(c11,plain,
( hazard_of_mortality(X0,X1) = very_low
| ~ has_immunity(X0,X1)
| ~ organization(X0) ),
inference(cnf_transformation,[status(esa)],[f11_sk]) ).
cnf(p61,plain,
( hazard_of_mortality(sk1,X0) = very_low
| ~ has_immunity(sk1,X0) ),
inference(resolution,[status(thm)],[c11,c21]) ).
cnf(f22,negated_conjecture,
has_immunity(sk1,sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_3_43) ).
fof(f22_nnf,plain,
has_immunity(sk1,sk2),
inference(nnf_transformation,[status(thm)],[f22]) ).
cnf(c22,plain,
has_immunity(sk1,sk2),
inference(cnf_transformation,[status(esa)],[f22_nnf]) ).
cnf(p62,plain,
hazard_of_mortality(sk1,sk2) = very_low,
inference(resolution,[status(thm)],[p61,c22]) ).
cnf(f24,negated_conjecture,
~ greater(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_3_45) ).
fof(f24_nnf,plain,
~ greater(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2)),
inference(nnf_transformation,[status(thm)],[f24]) ).
fof(f24_sk,plain,
~ greater(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2)),
inference(skolemisation,[status(esa)],[f24_nnf]) ).
cnf(c24,plain,
~ greater(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2)),
inference(cnf_transformation,[status(esa)],[f24_sk]) ).
cnf(p63,plain,
~ greater(hazard_of_mortality(sk1,sk3),very_low),
inference(demodulation,[status(thm)],[p62,c24]) ).
cnf(p883,plain,
( hazard_of_mortality(sk1,sk3) = low
| smaller(hazard_of_mortality(sk1,sk3),low) ),
inference(resolution,[status(thm)],[p229,p63]) ).
cnf(f6,axiom,
( greater(B,A)
| ~ smaller(A,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_smaller_7) ).
fof(f6_nnf,plain,
! [A,B] :
( greater(B,A)
| ~ smaller(A,B) ),
inference(nnf_transformation,[status(thm)],[f6]) ).
fof(f6_sk,plain,
! [A,B] :
( greater(B,A)
| ~ smaller(A,B) ),
inference(skolemisation,[status(esa)],[f6_nnf]) ).
cnf(c6,plain,
( greater(X1,X0)
| ~ smaller(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f6_sk]) ).
cnf(p914,plain,
( greater(low,hazard_of_mortality(sk1,sk3))
| hazard_of_mortality(sk1,sk3) = low ),
inference(resolution,[status(thm)],[p883,c6]) ).
cnf(f8,axiom,
( ~ greater(B,A)
| ~ greater(A,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meaning_postulate_greater_strict_9) ).
fof(f8_nnf,plain,
! [A,B] :
( ~ greater(B,A)
| ~ greater(A,B) ),
inference(nnf_transformation,[status(thm)],[f8]) ).
fof(f8_sk,plain,
! [A,B] :
( ~ greater(B,A)
| ~ greater(A,B) ),
inference(skolemisation,[status(esa)],[f8_nnf]) ).
cnf(c8,plain,
( ~ greater(X1,X0)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f8_sk]) ).
cnf(p975,plain,
( ~ greater(hazard_of_mortality(sk1,sk3),low)
| hazard_of_mortality(sk1,sk3) = low ),
inference(resolution,[status(thm)],[p914,c8]) ).
cnf(p1110,plain,
( ~ greater(high,low)
| hazard_of_mortality(sk1,sk3) = low
| positional_advantage(sk1,sk3)
| is_aligned(sk1,sk3)
| has_immunity(sk1,sk3) ),
inference(superposition,[status(thm)],[p79,p975]) ).
cnf(f16,axiom,
greater(high,mod1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_18a_37) ).
fof(f16_nnf,plain,
greater(high,mod1),
inference(nnf_transformation,[status(thm)],[f16]) ).
cnf(c16,plain,
greater(high,mod1),
inference(cnf_transformation,[status(esa)],[f16_nnf]) ).
cnf(p47,plain,
( greater(high,X0)
| ~ greater(mod1,X0) ),
inference(resolution,[status(thm)],[c9,c16]) ).
cnf(f17,axiom,
greater(mod1,low),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_18b_38) ).
fof(f17_nnf,plain,
greater(mod1,low),
inference(nnf_transformation,[status(thm)],[f17]) ).
cnf(c17,plain,
greater(mod1,low),
inference(cnf_transformation,[status(esa)],[f17_nnf]) ).
cnf(p153,plain,
greater(high,low),
inference(resolution,[status(thm)],[p47,c17]) ).
cnf(p1764,plain,
( hazard_of_mortality(sk1,sk3) = low
| positional_advantage(sk1,sk3)
| is_aligned(sk1,sk3)
| has_immunity(sk1,sk3) ),
inference(resolution,[status(thm)],[p1110,p153]) ).
cnf(p1767,plain,
( ~ greater(low,very_low)
| positional_advantage(sk1,sk3)
| is_aligned(sk1,sk3)
| has_immunity(sk1,sk3) ),
inference(superposition,[status(thm)],[p1764,p63]) ).
cnf(p1783,plain,
( positional_advantage(sk1,sk3)
| is_aligned(sk1,sk3)
| has_immunity(sk1,sk3) ),
inference(resolution,[status(thm)],[p1767,c18]) ).
cnf(f13,axiom,
( hazard_of_mortality(A,B) = mod1
| ~ positional_advantage(A,B)
| is_aligned(A,B)
| has_immunity(A,B)
| ~ organization(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_17_34) ).
fof(f13_nnf,plain,
! [A,B] :
( hazard_of_mortality(A,B) = mod1
| ~ positional_advantage(A,B)
| is_aligned(A,B)
| has_immunity(A,B)
| ~ organization(A) ),
inference(nnf_transformation,[status(thm)],[f13]) ).
fof(f13_sk,plain,
! [A,B] :
( hazard_of_mortality(A,B) = mod1
| ~ positional_advantage(A,B)
| is_aligned(A,B)
| has_immunity(A,B)
| ~ organization(A) ),
inference(skolemisation,[status(esa)],[f13_nnf]) ).
cnf(c13,plain,
( hazard_of_mortality(X0,X1) = mod1
| ~ positional_advantage(X0,X1)
| is_aligned(X0,X1)
| has_immunity(X0,X1)
| ~ organization(X0) ),
inference(cnf_transformation,[status(esa)],[f13_sk]) ).
cnf(p71,plain,
( hazard_of_mortality(sk1,X0) = mod1
| ~ positional_advantage(sk1,X0)
| is_aligned(sk1,X0)
| has_immunity(sk1,X0) ),
inference(resolution,[status(thm)],[c13,c21]) ).
cnf(p1785,plain,
( hazard_of_mortality(sk1,sk3) = mod1
| is_aligned(sk1,sk3)
| has_immunity(sk1,sk3)
| is_aligned(sk1,sk3)
| has_immunity(sk1,sk3) ),
inference(resolution,[status(thm)],[p1783,p71]) ).
cnf(p3156,plain,
( hazard_of_mortality(sk1,sk3) = mod1
| is_aligned(sk1,sk3)
| is_aligned(sk1,sk3)
| has_immunity(sk1,sk3) ),
inference(factoring,[status(thm)],[p1785]) ).
cnf(p3158,plain,
( hazard_of_mortality(sk1,sk3) = mod1
| is_aligned(sk1,sk3)
| has_immunity(sk1,sk3) ),
inference(factoring,[status(thm)],[p3156]) ).
cnf(p3161,plain,
( ~ greater(mod1,very_low)
| is_aligned(sk1,sk3)
| has_immunity(sk1,sk3) ),
inference(superposition,[status(thm)],[p3158,p63]) ).
cnf(p48,plain,
( greater(mod1,X0)
| ~ greater(low,X0) ),
inference(resolution,[status(thm)],[c9,c17]) ).
cnf(p164,plain,
greater(mod1,very_low),
inference(resolution,[status(thm)],[p48,c18]) ).
cnf(p3351,plain,
( is_aligned(sk1,sk3)
| has_immunity(sk1,sk3) ),
inference(resolution,[status(thm)],[p3161,p164]) ).
cnf(f14,axiom,
( hazard_of_mortality(A,B) = mod2
| positional_advantage(A,B)
| ~ is_aligned(A,B)
| has_immunity(A,B)
| ~ organization(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_17_35) ).
fof(f14_nnf,plain,
! [A,B] :
( hazard_of_mortality(A,B) = mod2
| positional_advantage(A,B)
| ~ is_aligned(A,B)
| has_immunity(A,B)
| ~ organization(A) ),
inference(nnf_transformation,[status(thm)],[f14]) ).
fof(f14_sk,plain,
! [A,B] :
( hazard_of_mortality(A,B) = mod2
| positional_advantage(A,B)
| ~ is_aligned(A,B)
| has_immunity(A,B)
| ~ organization(A) ),
inference(skolemisation,[status(esa)],[f14_nnf]) ).
cnf(c14,plain,
( hazard_of_mortality(X0,X1) = mod2
| positional_advantage(X0,X1)
| ~ is_aligned(X0,X1)
| has_immunity(X0,X1)
| ~ organization(X0) ),
inference(cnf_transformation,[status(esa)],[f14_sk]) ).
cnf(p76,plain,
( hazard_of_mortality(sk1,X0) = mod2
| positional_advantage(sk1,X0)
| ~ is_aligned(sk1,X0)
| has_immunity(sk1,X0) ),
inference(resolution,[status(thm)],[c14,c21]) ).
cnf(p3361,plain,
( hazard_of_mortality(sk1,sk3) = mod2
| positional_advantage(sk1,sk3)
| has_immunity(sk1,sk3)
| has_immunity(sk1,sk3) ),
inference(resolution,[status(thm)],[p3351,p76]) ).
cnf(p3363,plain,
( hazard_of_mortality(sk1,sk3) = mod2
| positional_advantage(sk1,sk3)
| has_immunity(sk1,sk3) ),
inference(factoring,[status(thm)],[p3361]) ).
cnf(p3375,plain,
( ~ greater(mod2,very_low)
| positional_advantage(sk1,sk3)
| has_immunity(sk1,sk3) ),
inference(superposition,[status(thm)],[p3363,p63]) ).
cnf(f20,axiom,
greater(mod2,low),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_18e_41) ).
fof(f20_nnf,plain,
greater(mod2,low),
inference(nnf_transformation,[status(thm)],[f20]) ).
cnf(c20,plain,
greater(mod2,low),
inference(cnf_transformation,[status(esa)],[f20_nnf]) ).
cnf(p51,plain,
( greater(mod2,X0)
| ~ greater(low,X0) ),
inference(resolution,[status(thm)],[c9,c20]) ).
cnf(p194,plain,
greater(mod2,very_low),
inference(resolution,[status(thm)],[p51,c18]) ).
cnf(p3565,plain,
( positional_advantage(sk1,sk3)
| has_immunity(sk1,sk3) ),
inference(resolution,[status(thm)],[p3375,p194]) ).
cnf(f12,axiom,
( hazard_of_mortality(A,B) = low
| ~ positional_advantage(A,B)
| ~ is_aligned(A,B)
| has_immunity(A,B)
| ~ organization(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_17_33) ).
fof(f12_nnf,plain,
! [A,B] :
( hazard_of_mortality(A,B) = low
| ~ positional_advantage(A,B)
| ~ is_aligned(A,B)
| has_immunity(A,B)
| ~ organization(A) ),
inference(nnf_transformation,[status(thm)],[f12]) ).
fof(f12_sk,plain,
! [A,B] :
( hazard_of_mortality(A,B) = low
| ~ positional_advantage(A,B)
| ~ is_aligned(A,B)
| has_immunity(A,B)
| ~ organization(A) ),
inference(skolemisation,[status(esa)],[f12_nnf]) ).
cnf(c12,plain,
( hazard_of_mortality(X0,X1) = low
| ~ positional_advantage(X0,X1)
| ~ is_aligned(X0,X1)
| has_immunity(X0,X1)
| ~ organization(X0) ),
inference(cnf_transformation,[status(esa)],[f12_sk]) ).
cnf(p69,plain,
( hazard_of_mortality(sk1,X0) = low
| ~ positional_advantage(sk1,X0)
| ~ is_aligned(sk1,X0)
| has_immunity(sk1,X0) ),
inference(resolution,[status(thm)],[c12,c21]) ).
cnf(p3360,plain,
( hazard_of_mortality(sk1,sk3) = low
| ~ positional_advantage(sk1,sk3)
| has_immunity(sk1,sk3)
| has_immunity(sk1,sk3) ),
inference(resolution,[status(thm)],[p3351,p69]) ).
cnf(p3362,plain,
( hazard_of_mortality(sk1,sk3) = low
| ~ positional_advantage(sk1,sk3)
| has_immunity(sk1,sk3) ),
inference(factoring,[status(thm)],[p3360]) ).
cnf(p3566,plain,
( hazard_of_mortality(sk1,sk3) = low
| has_immunity(sk1,sk3)
| has_immunity(sk1,sk3) ),
inference(resolution,[status(thm)],[p3565,p3362]) ).
cnf(p3567,plain,
( hazard_of_mortality(sk1,sk3) = low
| has_immunity(sk1,sk3) ),
inference(factoring,[status(thm)],[p3566]) ).
cnf(p3574,plain,
( ~ greater(low,very_low)
| has_immunity(sk1,sk3) ),
inference(superposition,[status(thm)],[p3567,p63]) ).
cnf(p3698,plain,
has_immunity(sk1,sk3),
inference(resolution,[status(thm)],[p3574,c18]) ).
cnf(f23,negated_conjecture,
~ has_immunity(sk1,sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_3_44) ).
fof(f23_nnf,plain,
~ has_immunity(sk1,sk3),
inference(nnf_transformation,[status(thm)],[f23]) ).
fof(f23_sk,plain,
~ has_immunity(sk1,sk3),
inference(skolemisation,[status(esa)],[f23_nnf]) ).
cnf(c23,plain,
~ has_immunity(sk1,sk3),
inference(cnf_transformation,[status(esa)],[f23_sk]) ).
cnf(p3699,plain,
$false,
inference(resolution,[status(thm)],[p3698,c23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT060-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.09/0.37 % Computer : n017.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Thu Sep 24 01:12:45 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 29.63/4.83 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 29.63/4.83 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------