%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : MGT059+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n012.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 02:12:58 PM UTC 2026
% Result : Theorem 0.19s 11.19s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 2
% Syntax : Number of formulae : 26 ( 12 unt; 0 def)
% Number of atoms : 97 ( 36 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 106 ( 35 ~; 33 |; 29 &)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 8 con; 0-2 aty)
% Number of variables : 27 ( 0 sgn 21 !; 6 ?; 7 :)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
! [X0,X1] :
( organization(X0)
=> ( ( ~ has_immunity(X0,X1)
=> ( ( ( ~ positional_advantage(X0,X1)
& ~ is_aligned(X0,X1) )
=> hazard_of_mortality(X0,X1) = high )
& ( ( ~ positional_advantage(X0,X1)
& is_aligned(X0,X1) )
=> hazard_of_mortality(X0,X1) = mod2 )
& ( ( positional_advantage(X0,X1)
& ~ is_aligned(X0,X1) )
=> hazard_of_mortality(X0,X1) = mod1 )
& ( ( positional_advantage(X0,X1)
& is_aligned(X0,X1) )
=> hazard_of_mortality(X0,X1) = low ) ) )
& ( has_immunity(X0,X1)
=> hazard_of_mortality(X0,X1) = very_low ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_17) ).
fof(f8,conjecture,
! [X0,X1,X2] :
( ( has_immunity(X0,X2)
& has_immunity(X0,X1)
& organization(X0) )
=> hazard_of_mortality(X0,X1) = hazard_of_mortality(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_2) ).
fof(f9,negated_conjecture,
~ ! [X0,X1,X2] :
( ( has_immunity(X0,X2)
& has_immunity(X0,X1)
& organization(X0) )
=> hazard_of_mortality(X0,X1) = hazard_of_mortality(X0,X2) ),
inference(negated_conjecture,[status(cth)],[f8]) ).
fof(f15,plain,
! [X0,X1] :
( ~ organization(X0)
| ( ( has_immunity(X0,X1)
| ( ( positional_advantage(X0,X1)
| is_aligned(X0,X1)
| hazard_of_mortality(X0,X1) = high )
& ( positional_advantage(X0,X1)
| ~ is_aligned(X0,X1)
| hazard_of_mortality(X0,X1) = mod2 )
& ( ~ positional_advantage(X0,X1)
| is_aligned(X0,X1)
| hazard_of_mortality(X0,X1) = mod1 )
& ( ~ positional_advantage(X0,X1)
| ~ is_aligned(X0,X1)
| hazard_of_mortality(X0,X1) = low ) ) )
& ( ~ has_immunity(X0,X1)
| hazard_of_mortality(X0,X1) = very_low ) ) ),
inference(ennf_transformation,[],[f7]) ).
fof(f16,plain,
! [X0,X1] :
( ~ organization(X0)
| ( ( has_immunity(X0,X1)
| ( ( positional_advantage(X0,X1)
| is_aligned(X0,X1)
| hazard_of_mortality(X0,X1) = high )
& ( positional_advantage(X0,X1)
| ~ is_aligned(X0,X1)
| hazard_of_mortality(X0,X1) = mod2 )
& ( ~ positional_advantage(X0,X1)
| is_aligned(X0,X1)
| hazard_of_mortality(X0,X1) = mod1 )
& ( ~ positional_advantage(X0,X1)
| ~ is_aligned(X0,X1)
| hazard_of_mortality(X0,X1) = low ) ) )
& ( ~ has_immunity(X0,X1)
| hazard_of_mortality(X0,X1) = very_low ) ) ),
inference(flattening,[],[f15]) ).
fof(f17,plain,
? [X0,X1,X2] :
( has_immunity(X0,X2)
& has_immunity(X0,X1)
& organization(X0)
& hazard_of_mortality(X0,X1) != hazard_of_mortality(X0,X2) ),
inference(ennf_transformation,[],[f9]) ).
fof(f18,plain,
? [X0,X1,X2] :
( has_immunity(X0,X2)
& has_immunity(X0,X1)
& organization(X0)
& hazard_of_mortality(X0,X1) != hazard_of_mortality(X0,X2) ),
inference(flattening,[],[f17]) ).
fof(f19,plain,
( has_immunity(sK0,sK2)
& has_immunity(sK0,sK1)
& organization(sK0)
& hazard_of_mortality(sK0,sK1) != hazard_of_mortality(sK0,sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f18]) ).
fof(f28,plain,
! [X0,X1] :
( ~ organization(X0)
| ~ has_immunity(X0,X1)
| hazard_of_mortality(X0,X1) = very_low ),
inference(cnf_transformation,[],[f16]) ).
fof(f29,plain,
has_immunity(sK0,sK2),
inference(cnf_transformation,[],[f19]) ).
fof(f30,plain,
has_immunity(sK0,sK1),
inference(cnf_transformation,[],[f19]) ).
fof(f31,plain,
organization(sK0),
inference(cnf_transformation,[],[f19]) ).
fof(f32,plain,
hazard_of_mortality(sK0,sK1) != hazard_of_mortality(sK0,sK2),
inference(cnf_transformation,[],[f19]) ).
tcf(c_53,plain,
! [X0: $i,X1: $i] :
( ( hazard_of_mortality(X0,X1) = very_low )
| ~ organization(X0)
| ~ has_immunity(X0,X1) ),
inference(cnf_transformation,[],[f28]) ).
tcf(c_58,negated_conjecture,
hazard_of_mortality(sK0,sK1) != hazard_of_mortality(sK0,sK2),
inference(cnf_transformation,[],[f32]) ).
tcf(c_59,negated_conjecture,
organization(sK0),
inference(cnf_transformation,[],[f31]) ).
tcf(c_60,negated_conjecture,
has_immunity(sK0,sK1),
inference(cnf_transformation,[],[f30]) ).
tcf(c_61,negated_conjecture,
has_immunity(sK0,sK2),
inference(cnf_transformation,[],[f29]) ).
tcf(c_289,plain,
! [X0: $i,X1: $i] :
( ( hazard_of_mortality(X0,X1) = very_low )
| ~ has_immunity(X0,X1)
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_53,c_59]) ).
tcf(c_290,plain,
! [X0: $i] :
( ( hazard_of_mortality(sK0,X0) = very_low )
| ~ has_immunity(sK0,X0) ),
inference(unflattening,[status(thm)],[c_289]) ).
tcf(c_376,plain,
! [X0: $i] :
( ( hazard_of_mortality(sK0,X0) = very_low )
| ( sK0 != sK0 )
| ( X0 != sK1 ) ),
inference(resolution_lifted,[status(thm)],[c_60,c_290]) ).
tcf(c_377,plain,
hazard_of_mortality(sK0,sK1) = very_low,
inference(unflattening,[status(thm)],[c_376]) ).
tcf(c_381,plain,
! [X0: $i] :
( ( hazard_of_mortality(sK0,X0) = very_low )
| ( sK0 != sK0 )
| ( X0 != sK2 ) ),
inference(resolution_lifted,[status(thm)],[c_61,c_290]) ).
tcf(c_382,plain,
hazard_of_mortality(sK0,sK2) = very_low,
inference(unflattening,[status(thm)],[c_381]) ).
tcf(c_503,plain,
very_low != very_low,
inference(light_normalisation,[status(thm)],[c_58,c_377,c_382]) ).
tcf(c_504,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_503]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : MGT059+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.02 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.04/10.54 % Computer : n012.cluster.edu
% 0.04/10.54 % Model : x86_64 x86_64
% 0.04/10.54 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/10.54 % Memory : 8046.5625MB
% 0.04/10.54 % OS : Linux 6.8.0-71-generic
% 0.04/10.54 % CPULimit : 300
% 0.04/10.54 % WCLimit : 300
% 0.04/10.54 % DateTime : Thu Sep 24 01:16:45 UTC 2026
% 0.04/10.54 % CPUTime :
% 0.04/10.54 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.04/10.56 Running first-order theorem proving
% 0.04/10.56 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.04/10.56
% 0.04/10.56 % ======== iProver multi-core TPTP/SMT =========
% 0.04/10.56
% 0.04/10.57 % Detected problem language: tptp
% 0.04/10.57 % Proving...
% 0.19/11.19 % SZS status Started for theBenchmark.p
% 0.19/11.19 % SZS status Theorem for theBenchmark.p
% 0.19/11.19
% 0.19/11.19 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.19/11.19
% 0.19/11.19 % ------ iProver source info
% 0.19/11.19
% 0.19/11.19 % git: date: 2026-07-19 20:42:38 +0200
% 0.19/11.19 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.19/11.19 % git: non_committed_changes: false
% 0.19/11.19
% 0.19/11.19 % ------ Parsing...
% 0.19/11.19 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 0.19/11.19
% 0.19/11.19 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe_e %
% 0.19/11.19
% 0.19/11.19 % SZS status Theorem for theBenchmark.p
% 0.19/11.19
% 0.19/11.19 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.19/11.19
% 0.19/11.19
%------------------------------------------------------------------------------