%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : MGT060-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n003.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 02:12:59 PM UTC 2026
% Result : Unsatisfiable 0.83s 1.17s
% Output : CNFRefutation 0.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 16
% Syntax : Number of formulae : 70 ( 30 unt; 2 def)
% Number of atoms : 231 ( 80 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 189 ( 62 ~; 127 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 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 : 9 ( 7 usr; 3 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 8 con; 0-2 aty)
% Number of variables : 55 ( 0 sgn 55 !; 0 ?; 42 :)
% Comments :
%------------------------------------------------------------------------------
fof(f10,axiom,
! [X2,X0,X1] :
( greater(X0,X2)
| ~ greater(X1,X2)
| ~ greater(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT001-0.ax',meaning_postulate_greater_transitive_10) ).
fof(f12,axiom,
! [X0,X1] :
( hazard_of_mortality(X0,X1) = very_low
| ~ has_immunity(X0,X1)
| ~ organization(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_17_32) ).
fof(f13,axiom,
! [X0,X1] :
( hazard_of_mortality(X0,X1) = low
| ~ positional_advantage(X0,X1)
| ~ is_aligned(X0,X1)
| has_immunity(X0,X1)
| ~ organization(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_17_33) ).
fof(f14,axiom,
! [X0,X1] :
( hazard_of_mortality(X0,X1) = mod1
| ~ positional_advantage(X0,X1)
| is_aligned(X0,X1)
| has_immunity(X0,X1)
| ~ organization(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_17_34) ).
fof(f15,axiom,
! [X0,X1] :
( hazard_of_mortality(X0,X1) = mod2
| positional_advantage(X0,X1)
| ~ is_aligned(X0,X1)
| has_immunity(X0,X1)
| ~ organization(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_17_35) ).
fof(f16,axiom,
! [X0,X1] :
( hazard_of_mortality(X0,X1) = high
| positional_advantage(X0,X1)
| is_aligned(X0,X1)
| has_immunity(X0,X1)
| ~ organization(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_17_36) ).
fof(f17,axiom,
greater(high,mod1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_18a_37) ).
fof(f18,axiom,
greater(mod1,low),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_18b_38) ).
fof(f19,axiom,
greater(low,very_low),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_18c_39) ).
fof(f21,axiom,
greater(mod2,low),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_18e_41) ).
fof(f22,negated_conjecture,
organization(sk1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_3_42) ).
fof(f23,negated_conjecture,
has_immunity(sk1,sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_3_43) ).
fof(f24,negated_conjecture,
~ has_immunity(sk1,sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_3_44) ).
fof(f25,negated_conjecture,
~ greater(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_3_45) ).
tcf(c_83,plain,
! [X0: $i,X1: $i,X2: $i] :
( greater(X0,X2)
| ~ greater(X1,X2)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[],[f10]) ).
tcf(c_85,plain,
! [X0: $i,X1: $i] :
( ( hazard_of_mortality(X0,X1) = very_low )
| ~ organization(X0)
| ~ has_immunity(X0,X1) ),
inference(cnf_transformation,[],[f12]) ).
tcf(c_86,plain,
! [X0: $i,X1: $i] :
( has_immunity(X0,X1)
| ( hazard_of_mortality(X0,X1) = low )
| ~ organization(X0)
| ~ positional_advantage(X0,X1)
| ~ is_aligned(X0,X1) ),
inference(cnf_transformation,[],[f13]) ).
tcf(c_87,plain,
! [X0: $i,X1: $i] :
( is_aligned(X0,X1)
| has_immunity(X0,X1)
| ( hazard_of_mortality(X0,X1) = mod1 )
| ~ organization(X0)
| ~ positional_advantage(X0,X1) ),
inference(cnf_transformation,[],[f14]) ).
tcf(c_88,plain,
! [X0: $i,X1: $i] :
( positional_advantage(X0,X1)
| has_immunity(X0,X1)
| ( hazard_of_mortality(X0,X1) = mod2 )
| ~ organization(X0)
| ~ is_aligned(X0,X1) ),
inference(cnf_transformation,[],[f15]) ).
tcf(c_89,plain,
! [X0: $i,X1: $i] :
( positional_advantage(X0,X1)
| is_aligned(X0,X1)
| has_immunity(X0,X1)
| ( hazard_of_mortality(X0,X1) = high )
| ~ organization(X0) ),
inference(cnf_transformation,[],[f16]) ).
tcf(c_90,plain,
greater(high,mod1),
inference(cnf_transformation,[],[f17]) ).
tcf(c_91,plain,
greater(mod1,low),
inference(cnf_transformation,[],[f18]) ).
tcf(c_92,plain,
greater(low,very_low),
inference(cnf_transformation,[],[f19]) ).
tcf(c_94,plain,
greater(mod2,low),
inference(cnf_transformation,[],[f21]) ).
tcf(c_95,negated_conjecture,
organization(sk1),
inference(cnf_transformation,[],[f22]) ).
tcf(c_96,negated_conjecture,
has_immunity(sk1,sk2),
inference(cnf_transformation,[],[f23]) ).
tcf(c_97,negated_conjecture,
~ has_immunity(sk1,sk3),
inference(cnf_transformation,[],[f24]) ).
tcf(c_98,negated_conjecture,
~ greater(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2)),
inference(cnf_transformation,[],[f25]) ).
tcf(c_344,plain,
! [X0: $i,X1: $i] :
( positional_advantage(X0,X1)
| is_aligned(X0,X1)
| has_immunity(X0,X1)
| ( hazard_of_mortality(X0,X1) = high )
| ( X0 != sk1 ) ),
inference(resolution_lifted,[status(thm)],[c_89,c_95]) ).
tcf(c_345,plain,
! [X0: $i] :
( positional_advantage(sk1,X0)
| is_aligned(sk1,X0)
| has_immunity(sk1,X0)
| ( hazard_of_mortality(sk1,X0) = high ) ),
inference(unflattening,[status(thm)],[c_344]) ).
tcf(c_359,plain,
! [X0: $i,X1: $i] :
( positional_advantage(X0,X1)
| has_immunity(X0,X1)
| ( hazard_of_mortality(X0,X1) = mod2 )
| ~ is_aligned(X0,X1)
| ( X0 != sk1 ) ),
inference(resolution_lifted,[status(thm)],[c_88,c_95]) ).
tcf(c_360,plain,
! [X0: $i] :
( positional_advantage(sk1,X0)
| has_immunity(sk1,X0)
| ( hazard_of_mortality(sk1,X0) = mod2 )
| ~ is_aligned(sk1,X0) ),
inference(unflattening,[status(thm)],[c_359]) ).
tcf(c_374,plain,
! [X0: $i,X1: $i] :
( is_aligned(X0,X1)
| has_immunity(X0,X1)
| ( hazard_of_mortality(X0,X1) = mod1 )
| ~ positional_advantage(X0,X1)
| ( X0 != sk1 ) ),
inference(resolution_lifted,[status(thm)],[c_87,c_95]) ).
tcf(c_375,plain,
! [X0: $i] :
( is_aligned(sk1,X0)
| has_immunity(sk1,X0)
| ( hazard_of_mortality(sk1,X0) = mod1 )
| ~ positional_advantage(sk1,X0) ),
inference(unflattening,[status(thm)],[c_374]) ).
tcf(c_389,plain,
! [X0: $i,X1: $i] :
( has_immunity(X0,X1)
| ( hazard_of_mortality(X0,X1) = low )
| ~ positional_advantage(X0,X1)
| ~ is_aligned(X0,X1)
| ( X0 != sk1 ) ),
inference(resolution_lifted,[status(thm)],[c_86,c_95]) ).
tcf(c_390,plain,
! [X0: $i] :
( has_immunity(sk1,X0)
| ( hazard_of_mortality(sk1,X0) = low )
| ~ positional_advantage(sk1,X0)
| ~ is_aligned(sk1,X0) ),
inference(unflattening,[status(thm)],[c_389]) ).
tcf(c_404,plain,
! [X0: $i,X1: $i] :
( ( hazard_of_mortality(X0,X1) = very_low )
| ~ has_immunity(X0,X1)
| ( X0 != sk1 ) ),
inference(resolution_lifted,[status(thm)],[c_85,c_95]) ).
tcf(c_405,plain,
! [X0: $i] :
( ( hazard_of_mortality(sk1,X0) = very_low )
| ~ has_immunity(sk1,X0) ),
inference(unflattening,[status(thm)],[c_404]) ).
tcf(c_431,plain,
! [X0: $i,X1: $i] :
( has_immunity(sk1,X1)
| has_immunity(sk1,X0)
| ( hazard_of_mortality(sk1,X1) = low )
| ( hazard_of_mortality(sk1,X0) = mod1 )
| ~ positional_advantage(sk1,X1)
| ~ positional_advantage(sk1,X0)
| ( sk1 != sk1 )
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_375,c_390]) ).
tcf(c_432,plain,
! [X0: $i] :
( has_immunity(sk1,X0)
| ( hazard_of_mortality(sk1,X0) = mod1 )
| ( hazard_of_mortality(sk1,X0) = low )
| ~ positional_advantage(sk1,X0) ),
inference(unflattening,[status(thm)],[c_431]) ).
tcf(c_450,plain,
! [X0: $i,X1: $i] :
( positional_advantage(sk1,X1)
| positional_advantage(sk1,X0)
| has_immunity(sk1,X1)
| has_immunity(sk1,X0)
| ( hazard_of_mortality(sk1,X1) = mod2 )
| ( hazard_of_mortality(sk1,X0) = high )
| ( sk1 != sk1 )
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_345,c_360]) ).
tcf(c_451,plain,
! [X0: $i] :
( positional_advantage(sk1,X0)
| has_immunity(sk1,X0)
| ( hazard_of_mortality(sk1,X0) = high )
| ( hazard_of_mortality(sk1,X0) = mod2 ) ),
inference(unflattening,[status(thm)],[c_450]) ).
tcf(c_473,plain,
! [X0: $i,X1: $i] :
( has_immunity(sk1,X1)
| has_immunity(sk1,X0)
| ( hazard_of_mortality(sk1,X1) = mod1 )
| ( hazard_of_mortality(sk1,X1) = low )
| ( hazard_of_mortality(sk1,X0) = high )
| ( hazard_of_mortality(sk1,X0) = mod2 )
| ( sk1 != sk1 )
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_451,c_432]) ).
tcf(c_474,plain,
! [X0: $i] :
( has_immunity(sk1,X0)
| ( hazard_of_mortality(sk1,X0) = high )
| ( hazard_of_mortality(sk1,X0) = mod2 )
| ( hazard_of_mortality(sk1,X0) = mod1 )
| ( hazard_of_mortality(sk1,X0) = low ) ),
inference(unflattening,[status(thm)],[c_473]) ).
tcf(c_520,plain,
! [X0: $i] :
( ( hazard_of_mortality(sk1,X0) = very_low )
| ( sk1 != sk1 )
| ( X0 != sk2 ) ),
inference(resolution_lifted,[status(thm)],[c_96,c_405]) ).
tcf(c_521,plain,
hazard_of_mortality(sk1,sk2) = very_low,
inference(unflattening,[status(thm)],[c_520]) ).
tcf(c_525,plain,
! [X0: $i] :
( ( hazard_of_mortality(sk1,X0) = high )
| ( hazard_of_mortality(sk1,X0) = mod2 )
| ( hazard_of_mortality(sk1,X0) = mod1 )
| ( hazard_of_mortality(sk1,X0) = low )
| ( sk1 != sk1 )
| ( X0 != sk3 ) ),
inference(resolution_lifted,[status(thm)],[c_97,c_474]) ).
tcf(c_526,plain,
( ( hazard_of_mortality(sk1,sk3) = high )
| ( hazard_of_mortality(sk1,sk3) = mod2 )
| ( hazard_of_mortality(sk1,sk3) = mod1 )
| ( hazard_of_mortality(sk1,sk3) = low ) ),
inference(unflattening,[status(thm)],[c_525]) ).
tcf(c_602,plain,
~ greater(hazard_of_mortality(sk1,sk3),very_low),
inference(light_normalisation,[status(thm)],[c_98,c_521]) ).
tcf(c_638,definition,
iPr_def_10 = hazard_of_mortality(sk1,sk3),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_639,definition,
iPr_def_11 = hazard_of_mortality(sk1,sk2),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_640,plain,
~ greater(iPr_def_10,very_low),
inference(demodulation,[status(thm)],[c_602,c_638]) ).
tcf(c_641,plain,
( ( iPr_def_10 = high )
| ( iPr_def_10 = mod2 )
| ( iPr_def_10 = mod1 )
| ( iPr_def_10 = low ) ),
inference(demodulation,[status(thm)],[c_526]) ).
tcf(c_642,plain,
iPr_def_11 = very_low,
inference(demodulation,[status(thm)],[c_521,c_639]) ).
tcf(c_807,plain,
~ greater(iPr_def_10,iPr_def_11),
inference(light_normalisation,[status(thm)],[c_640,c_642]) ).
tcf(c_849,plain,
greater(low,iPr_def_11),
inference(light_normalisation,[status(thm)],[c_92,c_642]) ).
tcf(c_942,plain,
! [X0: $i] :
( greater(high,X0)
| ~ greater(mod1,X0) ),
inference(superposition,[status(thm)],[c_90,c_83]) ).
tcf(c_943,plain,
! [X0: $i] :
( greater(mod1,X0)
| ~ greater(low,X0) ),
inference(superposition,[status(thm)],[c_91,c_83]) ).
tcf(c_945,plain,
! [X0: $i] :
( greater(mod2,X0)
| ~ greater(low,X0) ),
inference(superposition,[status(thm)],[c_94,c_83]) ).
tcf(c_1012,plain,
greater(mod1,iPr_def_11),
inference(superposition,[status(thm)],[c_849,c_943]) ).
tcf(c_1021,plain,
greater(high,iPr_def_11),
inference(superposition,[status(thm)],[c_1012,c_942]) ).
tcf(c_1026,plain,
( greater(iPr_def_10,iPr_def_11)
| ( mod2 = iPr_def_10 )
| ( mod1 = iPr_def_10 )
| ( low = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_641,c_1021]) ).
tcf(c_1031,plain,
( ( mod2 = iPr_def_10 )
| ( mod1 = iPr_def_10 )
| ( low = iPr_def_10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1026,c_807]) ).
tcf(c_1101,plain,
greater(mod2,iPr_def_11),
inference(superposition,[status(thm)],[c_849,c_945]) ).
tcf(c_1111,plain,
( greater(iPr_def_10,iPr_def_11)
| ( mod1 = iPr_def_10 )
| ( low = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_1031,c_1101]) ).
tcf(c_1117,plain,
( ( mod1 = iPr_def_10 )
| ( low = iPr_def_10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1111,c_807]) ).
tcf(c_1130,plain,
( greater(iPr_def_10,iPr_def_11)
| ( low = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_1117,c_1012]) ).
tcf(c_1140,plain,
low = iPr_def_10,
inference(forward_subsumption_resolution,[status(thm)],[c_1130,c_807]) ).
tcf(c_1151,plain,
greater(iPr_def_10,iPr_def_11),
inference(demodulation,[status(thm)],[c_849,c_1140]) ).
tcf(c_1160,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_1151,c_807]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT060-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.37 % Computer : n003.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 01:18:52 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.41 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.42
% 0.09/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.42
% 0.09/0.42 % Detected problem language: tptp
% 0.09/0.43 % Proving...
% 0.83/1.17 % SZS status Started for theBenchmark.p
% 0.83/1.17 % SZS status Unsatisfiable for theBenchmark.p
% 0.83/1.17
% 0.83/1.17 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.83/1.17
% 0.83/1.17 % ------ iProver source info
% 0.83/1.17
% 0.83/1.17 % git: date: 2026-07-19 20:42:38 +0200
% 0.83/1.17 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.83/1.17 % git: non_committed_changes: false
% 0.83/1.17
% 0.83/1.17 % ------ Parsing...% successful
% 0.83/1.17
% 0.83/1.17
% 0.83/1.17 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 0.83/1.17
% 0.83/1.17 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe_e sup_sim: 1 sf_s rm: 3 0s sf_e pe_s pe_e %
% 0.83/1.17
% 0.83/1.17 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 0.83/1.17
% 0.83/1.17 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 0.83/1.17 % ------ Proving...
% 0.83/1.17 % ------ Problem Properties
% 0.83/1.17
% 0.83/1.17 %
% 0.83/1.17 % clauses 15
% 0.83/1.17 % conjectures 0
% 0.83/1.17 % EPR 12
% 0.83/1.17 % Horn 12
% 0.83/1.17 % unary 10
% 0.83/1.17 % binary 1
% 0.83/1.17 % lits 27
% 0.83/1.17 % lits eq 14
% 0.83/1.17 % fd_pure 0
% 0.83/1.17 % fd_pseudo 0
% 0.83/1.17 % fd_cond 0
% 0.83/1.17 % fd_pseudo_cond 1
% 0.83/1.17 % AC symbols 0
% 0.83/1.17
% 0.83/1.17 % ------ Schedule dynamic 5 is on
% 0.83/1.17
% 0.83/1.17 % ------ no conjectures: strip conj schedule
% 0.83/1.17
% 0.83/1.17 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 0.83/1.17
% 0.83/1.17
% 0.83/1.17 % ------
% 0.83/1.17 % Current options:
% 0.83/1.17 % ------
% 0.83/1.17
% 0.83/1.17
% 0.83/1.17 %
% 0.83/1.17
% 0.83/1.17 % ------ Proving...
% 0.83/1.17 %
% 0.83/1.17
% 0.83/1.17 % SZS status Unsatisfiable for theBenchmark.p
% 0.83/1.17
% 0.83/1.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.83/1.18
%------------------------------------------------------------------------------