%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : MGT059-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n011.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 02:11:52 PM UTC 2026
% Result : Unsatisfiable 10.43s 16.72s
% Output : Proof 10.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 8
% Syntax : Number of formulae : 49 ( 41 unt; 0 def)
% Number of atoms : 61 ( 35 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 37 ( 25 ~; 12 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-4 aty)
% Number of variables : 28 ( 2 sgn 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f11,axiom,
( hazard_of_mortality(A,B) = very_low
| ~ has_immunity(A,B)
| ~ organization(A) ),
file('/export/starexec/sandbox/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(t26,plain,
ifeq(organization(X1),true,ifeq(has_immunity(X1,X2),true,hazard_of_mortality(X1,X2),very_low),very_low) = very_low,
inference(equality_encoding,[status(esa)],[c11]) ).
cnf(t76,plain,
ifeq(organization(X1),true,ifeq(has_immunity(X1,X2),true,hazard_of_mortality(X1,X2),very_low),very_low) = very_low,
inference(orient,[status(thm)],[t26]) ).
cnf(f17,negated_conjecture,
has_immunity(sk1,sk2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_2_38) ).
fof(f17_nnf,plain,
has_immunity(sk1,sk2),
inference(nnf_transformation,[status(thm)],[f17]) ).
cnf(c17,plain,
has_immunity(sk1,sk2),
inference(cnf_transformation,[status(esa)],[f17_nnf]) ).
cnf(t4,plain,
has_immunity(sk1,sk2) = true,
inference(equality_encoding,[status(esa)],[c17]) ).
cnf(t60,plain,
has_immunity(sk1,sk2) = true,
inference(orient,[status(thm)],[t4]) ).
cnf(t78,plain,
very_low = ifeq(organization(sk1),true,ifeq(true,true,hazard_of_mortality(sk1,sk2),very_low),very_low),
inference(cp,[status(thm)],[t76,t60]) ).
cnf(f16,negated_conjecture,
organization(sk1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_2_37) ).
fof(f16_nnf,plain,
organization(sk1),
inference(nnf_transformation,[status(thm)],[f16]) ).
cnf(c16,plain,
organization(sk1),
inference(cnf_transformation,[status(esa)],[f16_nnf]) ).
cnf(t2,plain,
organization(sk1) = true,
inference(equality_encoding,[status(esa)],[c16]) ).
cnf(t70,plain,
organization(sk1) = true,
inference(orient,[status(thm)],[t2]) ).
cnf(t102,plain,
very_low = ifeq(true,true,ifeq(true,true,hazard_of_mortality(sk1,sk2),very_low),very_low),
inference(step,[status(thm)],[t78,t70]) ).
cnf(t10,plain,
ifeq(X1,X1,X2,X3) = X2,
introduced(definition) ).
cnf(t32,plain,
ifeq(X1,X1,X2,X3) = X2,
inference(orient,[status(thm)],[t10]) ).
cnf(t103,plain,
very_low = ifeq(true,true,hazard_of_mortality(sk1,sk2),very_low),
inference(step,[status(thm)],[t102,t32]) ).
cnf(t104,plain,
very_low = hazard_of_mortality(sk1,sk2),
inference(step,[status(thm)],[t103,t32]) ).
cnf(t92,plain,
hazard_of_mortality(sk1,sk2) = very_low,
inference(orient,[status(thm)],[t104]) ).
cnf(f18,negated_conjecture,
has_immunity(sk1,sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_2_39) ).
fof(f18_nnf,plain,
has_immunity(sk1,sk3),
inference(nnf_transformation,[status(thm)],[f18]) ).
cnf(c18,plain,
has_immunity(sk1,sk3),
inference(cnf_transformation,[status(esa)],[f18_nnf]) ).
cnf(t5,plain,
has_immunity(sk1,sk3) = true,
inference(equality_encoding,[status(esa)],[c18]) ).
cnf(t65,plain,
has_immunity(sk1,sk3) = true,
inference(orient,[status(thm)],[t5]) ).
cnf(t79,plain,
very_low = ifeq(organization(sk1),true,ifeq(true,true,hazard_of_mortality(sk1,sk3),very_low),very_low),
inference(cp,[status(thm)],[t76,t65]) ).
cnf(t107,plain,
very_low = ifeq(true,true,ifeq(true,true,hazard_of_mortality(sk1,sk3),very_low),very_low),
inference(step,[status(thm)],[t79,t70]) ).
cnf(t108,plain,
very_low = ifeq(true,true,hazard_of_mortality(sk1,sk3),very_low),
inference(step,[status(thm)],[t107,t32]) ).
cnf(t109,plain,
very_low = hazard_of_mortality(sk1,sk3),
inference(step,[status(thm)],[t108,t32]) ).
cnf(t98,plain,
hazard_of_mortality(sk1,sk3) = very_low,
inference(orient,[status(thm)],[t109]) ).
cnf(t3,plain,
eq(X1,X1) = true,
introduced(definition) ).
cnf(t57,plain,
eq(X1,X1) = true,
inference(orient,[status(thm)],[t3]) ).
cnf(f8,axiom,
( ~ greater(B,A)
| ~ greater(A,B) ),
file('/export/starexec/sandbox/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(f19,negated_conjecture,
hazard_of_mortality(sk1,sk2) != hazard_of_mortality(sk1,sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_2_40) ).
fof(f19_nnf,plain,
hazard_of_mortality(sk1,sk2) != hazard_of_mortality(sk1,sk3),
inference(nnf_transformation,[status(thm)],[f19]) ).
fof(f19_sk,plain,
hazard_of_mortality(sk1,sk2) != hazard_of_mortality(sk1,sk3),
inference(skolemisation,[status(esa)],[f19_nnf]) ).
cnf(c19,plain,
hazard_of_mortality(sk1,sk2) != hazard_of_mortality(sk1,sk3),
inference(cnf_transformation,[status(esa)],[f19_sk]) ).
cnf(goal_0,negated_conjecture,
true != false,
inference(equality_encoding,[status(esa)],[c8,c19]) ).
cnf(g0_0,plain,
eq(hazard_of_mortality(sk1,sk2),hazard_of_mortality(sk1,sk3)) != false,
inference(rw,[status(thm)],[goal_0]) ).
cnf(g0_1,plain,
eq(very_low,hazard_of_mortality(sk1,sk3)) != false,
inference(rw,[status(thm)],[g0_0,t92]) ).
cnf(g0_2,plain,
eq(very_low,very_low) != false,
inference(rw,[status(thm)],[g0_1,t98]) ).
cnf(g0_3,plain,
true != false,
inference(rw,[status(thm)],[g0_2,t57]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT059-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.08/0.34 % Computer : n011.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.07/15.29 % CPULimit : 300
% 0.07/15.29 % WCLimit : 300
% 0.07/15.29 % DateTime : Thu Sep 24 01:17:45 UTC 2026
% 0.07/15.29 % CPUTime :
% 0.07/15.29 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 10.43/16.72 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.43/16.72 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------