%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : MGT043-1 : 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 : 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 02:12:54 PM UTC 2026
% Result : Unsatisfiable 3.62s 1.28s
% Output : CNFRefutation 3.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 21
% Syntax : Number of formulae : 66 ( 37 unt; 8 def)
% Number of atoms : 187 ( 35 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 146 ( 69 ~; 77 |; 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 : 16 ( 14 usr; 9 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-2 aty)
% Number of variables : 61 ( 0 sgn 61 !; 0 ?; 41 :)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0,X1] :
( smaller_or_equal(X0,X1)
| X0 != X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/MGT001-0.ax',definition_smaller_or_equal_3) ).
fof(f6,axiom,
! [X0,X1] :
( greater_or_equal(X0,X1)
| X0 != X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/MGT001-0.ax',definition_greater_or_equal_6) ).
fof(f7,axiom,
! [X0,X1] :
( greater(X1,X0)
| ~ smaller(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/MGT001-0.ax',definition_smaller_7) ).
fof(f12,axiom,
! [X2,X0,X1] :
( smaller(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1))
| ~ greater_or_equal(position(X0,X2),position(X0,X1))
| ~ greater(capability(X0,X2),capability(X0,X1))
| has_immunity(X0,X2)
| has_immunity(X0,X1)
| ~ organization(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_4_38) ).
fof(f16,axiom,
! [X2,X0,X1] :
( smaller(capability(X0,X1),capability(X0,X2))
| ~ greater(internal_friction(X0,X1),internal_friction(X0,X2))
| ~ smaller_or_equal(stock_of_knowledge(X0,X1),stock_of_knowledge(X0,X2))
| ~ organization(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_5_42) ).
fof(f20,axiom,
! [X2,X0,X1] :
( position(X0,X1) = position(X0,X2)
| external_ties(X0,X1) != external_ties(X0,X2)
| ~ organization(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_6_45) ).
fof(f21,plain,
! [X2,X0,X1] :
( position(X0,X2) = position(X0,X1)
| external_ties(X0,X1) != external_ties(X0,X2)
| ~ organization(X0) ),
inference(reorient_equations,[],[f20]) ).
fof(f22,negated_conjecture,
organization(sk1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_2_46) ).
fof(f23,negated_conjecture,
~ has_immunity(sk1,sk2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_2_47) ).
fof(f24,negated_conjecture,
~ has_immunity(sk1,sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_2_48) ).
fof(f25,negated_conjecture,
stock_of_knowledge(sk1,sk3) = stock_of_knowledge(sk1,sk2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_2_49) ).
fof(f26,negated_conjecture,
greater(internal_friction(sk1,sk3),internal_friction(sk1,sk2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_2_50) ).
fof(f27,negated_conjecture,
external_ties(sk1,sk2) = external_ties(sk1,sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_2_51) ).
fof(f28,negated_conjecture,
~ greater(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_2_52) ).
fof(f29,plain,
! [X1] : smaller_or_equal(X1,X1),
inference(equality_resolution,[],[f3]) ).
fof(f30,plain,
! [X1] : greater_or_equal(X1,X1),
inference(equality_resolution,[],[f6]) ).
tcf(c_77,plain,
! [X0: $i] : smaller_or_equal(X0,X0),
inference(cnf_transformation,[],[f29]) ).
tcf(c_80,plain,
! [X0: $i] : greater_or_equal(X0,X0),
inference(cnf_transformation,[],[f30]) ).
tcf(c_81,plain,
! [X0: $i,X1: $i] :
( greater(X1,X0)
| ~ smaller(X0,X1) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_86,plain,
! [X0: $i,X1: $i,X2: $i] :
( has_immunity(X0,X2)
| has_immunity(X0,X1)
| smaller(hazard_of_mortality(X0,X1),hazard_of_mortality(X0,X2))
| ~ organization(X0)
| ~ greater_or_equal(position(X0,X1),position(X0,X2))
| ~ greater(capability(X0,X1),capability(X0,X2)) ),
inference(cnf_transformation,[],[f12]) ).
tcf(c_90,plain,
! [X0: $i,X1: $i,X2: $i] :
( smaller(capability(X0,X1),capability(X0,X2))
| ~ organization(X0)
| ~ smaller_or_equal(stock_of_knowledge(X0,X1),stock_of_knowledge(X0,X2))
| ~ greater(internal_friction(X0,X1),internal_friction(X0,X2)) ),
inference(cnf_transformation,[],[f16]) ).
tcf(c_93,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( position(X0,X1) = position(X0,X2) )
| ~ organization(X0)
| ( external_ties(X0,X1) != external_ties(X0,X2) ) ),
inference(cnf_transformation,[],[f21]) ).
tcf(c_94,negated_conjecture,
organization(sk1),
inference(cnf_transformation,[],[f22]) ).
tcf(c_95,negated_conjecture,
~ has_immunity(sk1,sk2),
inference(cnf_transformation,[],[f23]) ).
tcf(c_96,negated_conjecture,
~ has_immunity(sk1,sk3),
inference(cnf_transformation,[],[f24]) ).
tcf(c_97,negated_conjecture,
stock_of_knowledge(sk1,sk2) = stock_of_knowledge(sk1,sk3),
inference(cnf_transformation,[],[f25]) ).
tcf(c_98,negated_conjecture,
greater(internal_friction(sk1,sk3),internal_friction(sk1,sk2)),
inference(cnf_transformation,[],[f26]) ).
tcf(c_99,negated_conjecture,
external_ties(sk1,sk2) = external_ties(sk1,sk3),
inference(cnf_transformation,[],[f27]) ).
tcf(c_100,negated_conjecture,
~ greater(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2)),
inference(cnf_transformation,[],[f28]) ).
tcf(c_545,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( position(X0,X1) = position(X0,X2) )
| ( X0 != sk1 )
| ( external_ties(X0,X1) != external_ties(X0,X2) ) ),
inference(resolution_lifted,[status(thm)],[c_93,c_94]) ).
tcf(c_546,plain,
! [X0: $i,X1: $i] :
( ( position(sk1,X0) = position(sk1,X1) )
| ( external_ties(sk1,X0) != external_ties(sk1,X1) ) ),
inference(unflattening,[status(thm)],[c_545]) ).
tcf(c_575,plain,
! [X0: $i,X1: $i,X2: $i] :
( smaller(capability(X0,X1),capability(X0,X2))
| ~ smaller_or_equal(stock_of_knowledge(X0,X1),stock_of_knowledge(X0,X2))
| ~ greater(internal_friction(X0,X1),internal_friction(X0,X2))
| ( X0 != sk1 ) ),
inference(resolution_lifted,[status(thm)],[c_90,c_94]) ).
tcf(c_576,plain,
! [X0: $i,X1: $i] :
( smaller(capability(sk1,X0),capability(sk1,X1))
| ~ smaller_or_equal(stock_of_knowledge(sk1,X0),stock_of_knowledge(sk1,X1))
| ~ greater(internal_friction(sk1,X0),internal_friction(sk1,X1)) ),
inference(unflattening,[status(thm)],[c_575]) ).
tcf(c_635,plain,
! [X0: $i,X1: $i,X2: $i] :
( has_immunity(X0,X2)
| has_immunity(X0,X1)
| smaller(hazard_of_mortality(X0,X1),hazard_of_mortality(X0,X2))
| ~ greater_or_equal(position(X0,X1),position(X0,X2))
| ~ greater(capability(X0,X1),capability(X0,X2))
| ( X0 != sk1 ) ),
inference(resolution_lifted,[status(thm)],[c_86,c_94]) ).
tcf(c_636,plain,
! [X0: $i,X1: $i] :
( has_immunity(sk1,X1)
| has_immunity(sk1,X0)
| smaller(hazard_of_mortality(sk1,X0),hazard_of_mortality(sk1,X1))
| ~ greater_or_equal(position(sk1,X0),position(sk1,X1))
| ~ greater(capability(sk1,X0),capability(sk1,X1)) ),
inference(unflattening,[status(thm)],[c_635]) ).
tcf(c_1531,definition,
iPr_def_10 = hazard_of_mortality(sk1,sk3),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_1532,definition,
iPr_def_11 = hazard_of_mortality(sk1,sk2),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_1533,definition,
iPr_def_12 = external_ties(sk1,sk2),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_1534,definition,
iPr_def_13 = external_ties(sk1,sk3),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_1535,definition,
iPr_def_14 = internal_friction(sk1,sk3),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_1536,definition,
iPr_def_15 = internal_friction(sk1,sk2),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_1537,definition,
iPr_def_16 = stock_of_knowledge(sk1,sk2),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_1538,definition,
iPr_def_17 = stock_of_knowledge(sk1,sk3),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_1539,plain,
! [X0: $i,X1: $i] :
( has_immunity(sk1,X1)
| has_immunity(sk1,X0)
| smaller(hazard_of_mortality(sk1,X0),hazard_of_mortality(sk1,X1))
| ~ greater_or_equal(position(sk1,X0),position(sk1,X1))
| ~ greater(capability(sk1,X0),capability(sk1,X1)) ),
inference(demodulation,[status(thm)],[c_636]) ).
tcf(c_1543,plain,
! [X0: $i,X1: $i] :
( smaller(capability(sk1,X0),capability(sk1,X1))
| ~ smaller_or_equal(stock_of_knowledge(sk1,X0),stock_of_knowledge(sk1,X1))
| ~ greater(internal_friction(sk1,X0),internal_friction(sk1,X1)) ),
inference(demodulation,[status(thm)],[c_576]) ).
tcf(c_1546,plain,
! [X0: $i,X1: $i] :
( ( position(sk1,X0) = position(sk1,X1) )
| ( external_ties(sk1,X0) != external_ties(sk1,X1) ) ),
inference(demodulation,[status(thm)],[c_546]) ).
tcf(c_1547,negated_conjecture,
~ greater(iPr_def_10,iPr_def_11),
inference(demodulation,[status(thm)],[c_100,c_1532,c_1531]) ).
tcf(c_1548,negated_conjecture,
iPr_def_12 = iPr_def_13,
inference(demodulation,[status(thm)],[c_99,c_1534,c_1533]) ).
tcf(c_1549,negated_conjecture,
greater(iPr_def_14,iPr_def_15),
inference(demodulation,[status(thm)],[c_98,c_1536,c_1535]) ).
tcf(c_1550,negated_conjecture,
iPr_def_16 = iPr_def_17,
inference(demodulation,[status(thm)],[c_97,c_1538,c_1537]) ).
tcf(c_1551,negated_conjecture,
~ has_immunity(sk1,sk3),
inference(demodulation,[status(thm)],[c_96]) ).
tcf(c_1552,negated_conjecture,
~ has_immunity(sk1,sk2),
inference(demodulation,[status(thm)],[c_95]) ).
tcf(c_2021,plain,
external_ties(sk1,sk3) = iPr_def_12,
inference(light_normalisation,[status(thm)],[c_1534,c_1548]) ).
tcf(c_2024,plain,
! [X0: $i] :
( ( position(sk1,X0) = position(sk1,sk3) )
| ( external_ties(sk1,X0) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_2021,c_1546]) ).
tcf(c_2047,plain,
position(sk1,sk2) = position(sk1,sk3),
inference(superposition,[status(thm)],[c_1533,c_2024]) ).
tcf(c_2076,plain,
! [X0: $i] :
( smaller(capability(sk1,sk3),capability(sk1,X0))
| ~ greater(iPr_def_14,internal_friction(sk1,X0))
| ~ smaller_or_equal(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,X0)) ),
inference(superposition,[status(thm)],[c_1535,c_1543]) ).
tcf(c_2092,plain,
! [X0: $i] :
( smaller(capability(sk1,sk3),capability(sk1,X0))
| ~ smaller_or_equal(iPr_def_16,stock_of_knowledge(sk1,X0))
| ~ greater(iPr_def_14,internal_friction(sk1,X0)) ),
inference(light_normalisation,[status(thm)],[c_2076,c_1538,c_1550]) ).
tcf(c_2169,plain,
! [X0: $i] :
( greater(capability(sk1,X0),capability(sk1,sk3))
| ~ smaller_or_equal(iPr_def_16,stock_of_knowledge(sk1,X0))
| ~ greater(iPr_def_14,internal_friction(sk1,X0)) ),
inference(superposition,[status(thm)],[c_2092,c_81]) ).
tcf(c_2247,plain,
! [X0: $i] :
( has_immunity(sk1,sk3)
| has_immunity(sk1,X0)
| smaller(hazard_of_mortality(sk1,X0),hazard_of_mortality(sk1,sk3))
| ~ smaller_or_equal(iPr_def_16,stock_of_knowledge(sk1,X0))
| ~ greater(iPr_def_14,internal_friction(sk1,X0))
| ~ greater_or_equal(position(sk1,X0),position(sk1,sk3)) ),
inference(superposition,[status(thm)],[c_2169,c_1539]) ).
tcf(c_2256,plain,
! [X0: $i] :
( has_immunity(sk1,sk3)
| has_immunity(sk1,X0)
| smaller(hazard_of_mortality(sk1,X0),iPr_def_10)
| ~ smaller_or_equal(iPr_def_16,stock_of_knowledge(sk1,X0))
| ~ greater(iPr_def_14,internal_friction(sk1,X0))
| ~ greater_or_equal(position(sk1,X0),position(sk1,sk2)) ),
inference(light_normalisation,[status(thm)],[c_2247,c_1531,c_2047]) ).
tcf(c_2257,plain,
! [X0: $i] :
( has_immunity(sk1,X0)
| smaller(hazard_of_mortality(sk1,X0),iPr_def_10)
| ~ smaller_or_equal(iPr_def_16,stock_of_knowledge(sk1,X0))
| ~ greater(iPr_def_14,internal_friction(sk1,X0))
| ~ greater_or_equal(position(sk1,X0),position(sk1,sk2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2256,c_1551]) ).
tcf(c_2287,plain,
( has_immunity(sk1,sk2)
| smaller(hazard_of_mortality(sk1,sk2),iPr_def_10)
| ~ smaller_or_equal(iPr_def_16,stock_of_knowledge(sk1,sk2))
| ~ greater(iPr_def_14,internal_friction(sk1,sk2)) ),
inference(superposition,[status(thm)],[c_80,c_2257]) ).
tcf(c_2288,plain,
( smaller(iPr_def_11,iPr_def_10)
| has_immunity(sk1,sk2)
| ~ smaller_or_equal(iPr_def_16,iPr_def_16)
| ~ greater(iPr_def_14,iPr_def_15) ),
inference(light_normalisation,[status(thm)],[c_2287,c_1532,c_1536,c_1537]) ).
tcf(c_2289,plain,
smaller(iPr_def_11,iPr_def_10),
inference(forward_subsumption_resolution,[status(thm)],[c_2288,c_1552,c_77,c_1549]) ).
tcf(c_2358,plain,
greater(iPr_def_10,iPr_def_11),
inference(superposition,[status(thm)],[c_2289,c_81]) ).
tcf(c_2360,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_2358,c_1547]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT043-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.03 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.37 % Computer : n011.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Thu Sep 24 01:10:58 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 0.11/0.42
% 0.11/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.42
% 0.11/0.42 % Detected problem language: tptp
% 0.11/0.43 % Proving...
% 3.62/1.28 % SZS status Started for theBenchmark.p
% 3.62/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 3.62/1.28
% 3.62/1.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.62/1.28
% 3.62/1.28 % ------ iProver source info
% 3.62/1.28
% 3.62/1.28 % git: date: 2026-07-19 20:42:38 +0200
% 3.62/1.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.62/1.28 % git: non_committed_changes: false
% 3.62/1.28
% 3.62/1.28 % ------ Parsing...% successful
% 3.62/1.28
% 3.62/1.28
% 3.62/1.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.62/1.28
% 3.62/1.28 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e %
% 3.62/1.28
% 3.62/1.28 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.62/1.28
% 3.62/1.28 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.62/1.28 % ------ Proving...
% 3.62/1.28 % ------ Problem Properties
% 3.62/1.28
% 3.62/1.28 %
% 3.62/1.28 % clauses 33
% 3.62/1.28 % conjectures 6
% 3.62/1.28 % EPR 17
% 3.62/1.28 % Horn 27
% 3.62/1.28 % unary 16
% 3.62/1.28 % binary 7
% 3.62/1.28 % lits 66
% 3.62/1.28 % lits eq 21
% 3.62/1.28 % fd_pure 0
% 3.62/1.28 % fd_pseudo 0
% 3.62/1.28 % fd_cond 0
% 3.62/1.28 % fd_pseudo_cond 3
% 3.62/1.28 % AC symbols 0
% 3.62/1.28
% 3.62/1.28 % ------ Schedule dynamic 5 is on
% 3.62/1.28
% 3.62/1.28 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.62/1.28
% 3.62/1.28
% 3.62/1.28 % ------
% 3.62/1.28 % Current options:
% 3.62/1.28 % ------
% 3.62/1.28
% 3.62/1.28
% 3.62/1.28 %
% 3.62/1.28
% 3.62/1.28 % ------ Proving...
% 3.62/1.28 %
% 3.62/1.28
% 3.62/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 3.62/1.28
% 3.62/1.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.62/1.28
% 3.62/1.28
%------------------------------------------------------------------------------