%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : MGT039-1 : 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 : n010.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 02:12:32 PM UTC 2026
% Result : Unsatisfiable 2.41s 1.27s
% Output : CNFRefutation 2.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 22
% Syntax : Number of formulae : 106 ( 28 unt; 4 def)
% Number of atoms : 360 ( 49 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 320 ( 155 ~; 165 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 15 ( 13 usr; 6 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 80 ( 0 sgn 80 !; 0 ?; 56 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] :
( selection_favors(efficient_producers,first_movers,X0)
| environment(sk1(X0))
| ~ propagation_strategy(efficient_producers)
| ~ propagation_strategy(first_movers)
| ~ observational_period(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp3_favoured_trategy_20) ).
fof(f2,axiom,
! [X0] :
( selection_favors(efficient_producers,first_movers,X0)
| in_environment(X0,sk1(X0))
| ~ propagation_strategy(efficient_producers)
| ~ propagation_strategy(first_movers)
| ~ observational_period(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp3_favoured_trategy_21) ).
fof(f3,axiom,
! [X0] :
( selection_favors(efficient_producers,first_movers,X0)
| ~ selection_favors(efficient_producers,first_movers,end_time(sk1(X0)))
| ~ propagation_strategy(efficient_producers)
| ~ propagation_strategy(first_movers)
| ~ observational_period(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp3_favoured_trategy_22) ).
fof(f4,axiom,
! [X0,X1] :
( in_environment(X1,sk2(X1,X0))
| ~ in_environment(X0,X1)
| ~ environment(X1)
| ~ slow_change(X0)
| ~ observational_period(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp4_critical_point_23) ).
fof(f5,axiom,
! [X0,X1] :
( greater(sk2(X1,X0),critical_point(X1))
| ~ in_environment(X0,X1)
| ~ environment(X1)
| ~ slow_change(X0)
| ~ observational_period(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp4_critical_point_24) ).
fof(f6,axiom,
propagation_strategy(first_movers),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_organizational_sets1_25) ).
fof(f7,axiom,
propagation_strategy(efficient_producers),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_organizational_sets2_26) ).
fof(f8,axiom,
! [X0,X1] :
( in_environment(X0,X1)
| ~ greater_or_equal(end_time(X0),X1)
| ~ greater_or_equal(X1,start_time(X0))
| ~ environment(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_time_in_environment_27) ).
fof(f9,axiom,
! [X0,X1] :
( greater_or_equal(end_time(X0),X1)
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_environment_end_point_28) ).
fof(f10,axiom,
! [X0] :
( greater_or_equal(critical_point(X0),start_time(X0))
| ~ environment(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_time_of_critical_point_29) ).
fof(f11,axiom,
! [X2,X0,X1] :
( greater(X0,X2)
| ~ greater(X1,X2)
| ~ greater(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_greater_transitivity_30) ).
fof(f12,axiom,
! [X0,X1] :
( X0 = X1
| greater(X0,X1)
| ~ greater_or_equal(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_greater_or_equal_31) ).
fof(f13,axiom,
! [X0,X1] :
( greater_or_equal(X0,X1)
| ~ greater(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_greater_or_equal_32) ).
fof(f14,axiom,
! [X0,X1] :
( greater_or_equal(X0,X1)
| X0 != X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_greater_or_equal_33) ).
fof(f16,axiom,
! [X0,X1] :
( selection_favors(efficient_producers,first_movers,X1)
| ~ greater(X1,critical_point(X0))
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l8_35) ).
fof(f17,negated_conjecture,
observational_period(sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t8_36) ).
fof(f18,negated_conjecture,
slow_change(sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t8_37) ).
fof(f19,negated_conjecture,
~ selection_favors(efficient_producers,first_movers,sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t8_38) ).
fof(f20,plain,
! [X1] : greater_or_equal(X1,X1),
inference(equality_resolution,[],[f14]) ).
tcf(c_68,plain,
! [X0: $i] :
( environment(sk1(X0))
| selection_favors(efficient_producers,first_movers,X0)
| ~ propagation_strategy(efficient_producers)
| ~ propagation_strategy(first_movers)
| ~ observational_period(X0) ),
inference(cnf_transformation,[],[f1]) ).
tcf(c_69,plain,
! [X0: $i] :
( selection_favors(efficient_producers,first_movers,X0)
| in_environment(X0,sk1(X0))
| ~ propagation_strategy(efficient_producers)
| ~ propagation_strategy(first_movers)
| ~ observational_period(X0) ),
inference(cnf_transformation,[],[f2]) ).
tcf(c_70,plain,
! [X0: $i] :
( selection_favors(efficient_producers,first_movers,X0)
| ~ propagation_strategy(efficient_producers)
| ~ propagation_strategy(first_movers)
| ~ observational_period(X0)
| ~ selection_favors(efficient_producers,first_movers,end_time(sk1(X0))) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_71,plain,
! [X0: $i,X1: $i] :
( in_environment(X1,sk2(X1,X0))
| ~ slow_change(X0)
| ~ environment(X1)
| ~ observational_period(X0)
| ~ in_environment(X0,X1) ),
inference(cnf_transformation,[],[f4]) ).
tcf(c_72,plain,
! [X0: $i,X1: $i] :
( greater(sk2(X1,X0),critical_point(X1))
| ~ slow_change(X0)
| ~ environment(X1)
| ~ observational_period(X0)
| ~ in_environment(X0,X1) ),
inference(cnf_transformation,[],[f5]) ).
tcf(c_73,plain,
propagation_strategy(first_movers),
inference(cnf_transformation,[],[f6]) ).
tcf(c_74,plain,
propagation_strategy(efficient_producers),
inference(cnf_transformation,[],[f7]) ).
tcf(c_75,plain,
! [X0: $i,X1: $i] :
( in_environment(X0,X1)
| ~ environment(X0)
| ~ greater_or_equal(X1,start_time(X0))
| ~ greater_or_equal(end_time(X0),X1) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_76,plain,
! [X0: $i,X1: $i] :
( greater_or_equal(end_time(X0),X1)
| ~ environment(X0)
| ~ in_environment(X0,X1) ),
inference(cnf_transformation,[],[f9]) ).
tcf(c_77,plain,
! [X0: $i] :
( greater_or_equal(critical_point(X0),start_time(X0))
| ~ environment(X0) ),
inference(cnf_transformation,[],[f10]) ).
tcf(c_78,plain,
! [X0: $i,X1: $i,X2: $i] :
( greater(X0,X2)
| ~ greater(X1,X2)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[],[f11]) ).
tcf(c_79,plain,
! [X0: $i,X1: $i] :
( greater(X0,X1)
| ( X0 = X1 )
| ~ greater_or_equal(X0,X1) ),
inference(cnf_transformation,[],[f12]) ).
tcf(c_80,plain,
! [X0: $i,X1: $i] :
( greater_or_equal(X0,X1)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[],[f13]) ).
tcf(c_81,plain,
! [X0: $i] : greater_or_equal(X0,X0),
inference(cnf_transformation,[],[f20]) ).
tcf(c_83,plain,
! [X0: $i,X1: $i] :
( selection_favors(efficient_producers,first_movers,X0)
| ~ environment(X1)
| ~ in_environment(X1,X0)
| ~ greater(X0,critical_point(X1)) ),
inference(cnf_transformation,[],[f16]) ).
tcf(c_84,negated_conjecture,
observational_period(sk3),
inference(cnf_transformation,[],[f17]) ).
tcf(c_85,negated_conjecture,
slow_change(sk3),
inference(cnf_transformation,[],[f18]) ).
tcf(c_86,negated_conjecture,
~ selection_favors(efficient_producers,first_movers,sk3),
inference(cnf_transformation,[],[f19]) ).
tcf(c_99,plain,
! [X0: $i] :
( environment(sk1(X0))
| selection_favors(efficient_producers,first_movers,X0)
| ~ observational_period(X0) ),
inference(global_subsumption_just,[status(thm)],[c_68,c_74,c_73,c_68]) ).
tcf(c_102,plain,
! [X0: $i] :
( selection_favors(efficient_producers,first_movers,X0)
| in_environment(X0,sk1(X0))
| ~ observational_period(X0) ),
inference(global_subsumption_just,[status(thm)],[c_69,c_74,c_73,c_69]) ).
tcf(c_105,plain,
! [X0: $i] :
( selection_favors(efficient_producers,first_movers,X0)
| ~ observational_period(X0)
| ~ selection_favors(efficient_producers,first_movers,end_time(sk1(X0))) ),
inference(global_subsumption_just,[status(thm)],[c_70,c_74,c_73,c_70]) ).
tcf(c_306,plain,
! [X0: $i,X1: $i] :
( greater(sk2(X1,X0),critical_point(X1))
| ~ environment(X1)
| ~ observational_period(X0)
| ~ in_environment(X0,X1)
| ( X0 != sk3 ) ),
inference(resolution_lifted,[status(thm)],[c_72,c_85]) ).
tcf(c_307,plain,
! [X0: $i] :
( greater(sk2(X0,sk3),critical_point(X0))
| ~ observational_period(sk3)
| ~ environment(X0)
| ~ in_environment(sk3,X0) ),
inference(unflattening,[status(thm)],[c_306]) ).
tcf(c_309,plain,
! [X0: $i] :
( greater(sk2(X0,sk3),critical_point(X0))
| ~ in_environment(sk3,X0)
| ~ environment(X0) ),
inference(global_subsumption_just,[status(thm)],[c_307,c_84,c_307]) ).
tcf(c_310,plain,
! [X0: $i] :
( greater(sk2(X0,sk3),critical_point(X0))
| ~ environment(X0)
| ~ in_environment(sk3,X0) ),
inference(renaming,[status(thm)],[c_309]) ).
tcf(c_321,plain,
! [X0: $i,X1: $i] :
( in_environment(X1,sk2(X1,X0))
| ~ environment(X1)
| ~ observational_period(X0)
| ~ in_environment(X0,X1)
| ( X0 != sk3 ) ),
inference(resolution_lifted,[status(thm)],[c_71,c_85]) ).
tcf(c_322,plain,
! [X0: $i] :
( in_environment(X0,sk2(X0,sk3))
| ~ observational_period(sk3)
| ~ environment(X0)
| ~ in_environment(sk3,X0) ),
inference(unflattening,[status(thm)],[c_321]) ).
tcf(c_324,plain,
! [X0: $i] :
( in_environment(X0,sk2(X0,sk3))
| ~ in_environment(sk3,X0)
| ~ environment(X0) ),
inference(global_subsumption_just,[status(thm)],[c_322,c_84,c_322]) ).
tcf(c_325,plain,
! [X0: $i] :
( in_environment(X0,sk2(X0,sk3))
| ~ environment(X0)
| ~ in_environment(sk3,X0) ),
inference(renaming,[status(thm)],[c_324]) ).
tcf(c_342,plain,
! [X0: $i] :
( selection_favors(efficient_producers,first_movers,X0)
| ~ selection_favors(efficient_producers,first_movers,end_time(sk1(X0)))
| ( X0 != sk3 ) ),
inference(resolution_lifted,[status(thm)],[c_105,c_84]) ).
tcf(c_343,plain,
( selection_favors(efficient_producers,first_movers,sk3)
| ~ selection_favors(efficient_producers,first_movers,end_time(sk1(sk3))) ),
inference(unflattening,[status(thm)],[c_342]) ).
tcf(c_344,plain,
~ selection_favors(efficient_producers,first_movers,end_time(sk1(sk3))),
inference(global_subsumption_just,[status(thm)],[c_343,c_86,c_343]) ).
tcf(c_349,plain,
! [X0: $i] :
( selection_favors(efficient_producers,first_movers,X0)
| in_environment(X0,sk1(X0))
| ( X0 != sk3 ) ),
inference(resolution_lifted,[status(thm)],[c_102,c_84]) ).
tcf(c_350,plain,
( in_environment(sk3,sk1(sk3))
| selection_favors(efficient_producers,first_movers,sk3) ),
inference(unflattening,[status(thm)],[c_349]) ).
tcf(c_356,plain,
! [X0: $i] :
( environment(sk1(X0))
| selection_favors(efficient_producers,first_movers,X0)
| ( X0 != sk3 ) ),
inference(resolution_lifted,[status(thm)],[c_99,c_84]) ).
tcf(c_357,plain,
( environment(sk1(sk3))
| selection_favors(efficient_producers,first_movers,sk3) ),
inference(unflattening,[status(thm)],[c_356]) ).
tcf(c_358,plain,
environment(sk1(sk3)),
inference(global_subsumption_just,[status(thm)],[c_357,c_86,c_357]) ).
tcf(c_378,plain,
! [X0: $i,X1: $i] :
( ~ environment(X1)
| ~ in_environment(X1,X0)
| ~ greater(X0,critical_point(X1))
| ( efficient_producers != efficient_producers )
| ( first_movers != first_movers )
| ( end_time(sk1(sk3)) != X0 ) ),
inference(resolution_lifted,[status(thm)],[c_83,c_344]) ).
tcf(c_379,plain,
! [X0: $i] :
( ~ environment(X0)
| ~ in_environment(X0,end_time(sk1(sk3)))
| ~ greater(end_time(sk1(sk3)),critical_point(X0)) ),
inference(unflattening,[status(thm)],[c_378]) ).
tcf(c_408,plain,
! [X0: $i] :
( ~ in_environment(X0,end_time(sk1(sk3)))
| ~ greater(end_time(sk1(sk3)),critical_point(X0))
| ( sk1(sk3) != X0 ) ),
inference(resolution_lifted,[status(thm)],[c_379,c_358]) ).
tcf(c_409,plain,
( ~ in_environment(sk1(sk3),end_time(sk1(sk3)))
| ~ greater(end_time(sk1(sk3)),critical_point(sk1(sk3))) ),
inference(unflattening,[status(thm)],[c_408]) ).
tcf(c_424,plain,
! [X0: $i] :
( in_environment(X0,sk2(X0,sk3))
| ~ in_environment(sk3,X0)
| ( sk1(sk3) != X0 ) ),
inference(resolution_lifted,[status(thm)],[c_325,c_358]) ).
tcf(c_425,plain,
( in_environment(sk1(sk3),sk2(sk1(sk3),sk3))
| ~ in_environment(sk3,sk1(sk3)) ),
inference(unflattening,[status(thm)],[c_424]) ).
tcf(c_426,plain,
in_environment(sk1(sk3),sk2(sk1(sk3),sk3)),
inference(global_subsumption_just,[status(thm)],[c_425,c_86,c_350,c_425]) ).
tcf(c_431,plain,
! [X0: $i] :
( greater(sk2(X0,sk3),critical_point(X0))
| ~ in_environment(sk3,X0)
| ( sk1(sk3) != X0 ) ),
inference(resolution_lifted,[status(thm)],[c_310,c_358]) ).
tcf(c_432,plain,
( greater(sk2(sk1(sk3),sk3),critical_point(sk1(sk3)))
| ~ in_environment(sk3,sk1(sk3)) ),
inference(unflattening,[status(thm)],[c_431]) ).
tcf(c_433,plain,
greater(sk2(sk1(sk3),sk3),critical_point(sk1(sk3))),
inference(global_subsumption_just,[status(thm)],[c_432,c_86,c_350,c_432]) ).
tcf(c_438,plain,
! [X0: $i] :
( greater_or_equal(critical_point(X0),start_time(X0))
| ( sk1(sk3) != X0 ) ),
inference(resolution_lifted,[status(thm)],[c_77,c_358]) ).
tcf(c_439,plain,
greater_or_equal(critical_point(sk1(sk3)),start_time(sk1(sk3))),
inference(unflattening,[status(thm)],[c_438]) ).
tcf(c_443,plain,
! [X0: $i,X1: $i] :
( greater_or_equal(end_time(X0),X1)
| ~ in_environment(X0,X1)
| ( sk1(sk3) != X0 ) ),
inference(resolution_lifted,[status(thm)],[c_76,c_358]) ).
tcf(c_444,plain,
! [X0: $i] :
( greater_or_equal(end_time(sk1(sk3)),X0)
| ~ in_environment(sk1(sk3),X0) ),
inference(unflattening,[status(thm)],[c_443]) ).
tcf(c_452,plain,
! [X0: $i,X1: $i] :
( in_environment(X0,X1)
| ~ greater_or_equal(X1,start_time(X0))
| ~ greater_or_equal(end_time(X0),X1)
| ( sk1(sk3) != X0 ) ),
inference(resolution_lifted,[status(thm)],[c_75,c_358]) ).
tcf(c_453,plain,
! [X0: $i] :
( in_environment(sk1(sk3),X0)
| ~ greater_or_equal(X0,start_time(sk1(sk3)))
| ~ greater_or_equal(end_time(sk1(sk3)),X0) ),
inference(unflattening,[status(thm)],[c_452]) ).
tcf(c_506,plain,
( ~ greater(end_time(sk1(sk3)),critical_point(sk1(sk3)))
| ( sk1(sk3) != sk1(sk3) )
| ( sk2(sk1(sk3),sk3) != end_time(sk1(sk3)) ) ),
inference(resolution_lifted,[status(thm)],[c_409,c_426]) ).
tcf(c_516,plain,
! [X0: $i] :
( ~ greater_or_equal(X0,start_time(sk1(sk3)))
| ~ greater_or_equal(end_time(sk1(sk3)),X0)
| ~ greater(end_time(sk1(sk3)),critical_point(sk1(sk3)))
| ( sk1(sk3) != sk1(sk3) )
| ( end_time(sk1(sk3)) != X0 ) ),
inference(resolution_lifted,[status(thm)],[c_409,c_453]) ).
tcf(c_517,plain,
( ~ greater_or_equal(end_time(sk1(sk3)),start_time(sk1(sk3)))
| ~ greater_or_equal(end_time(sk1(sk3)),end_time(sk1(sk3)))
| ~ greater(end_time(sk1(sk3)),critical_point(sk1(sk3))) ),
inference(unflattening,[status(thm)],[c_516]) ).
tcf(c_524,plain,
( ~ greater_or_equal(end_time(sk1(sk3)),start_time(sk1(sk3)))
| ~ greater(end_time(sk1(sk3)),critical_point(sk1(sk3))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_517,c_81]) ).
tcf(c_548,plain,
! [X0: $i] :
( greater_or_equal(end_time(sk1(sk3)),X0)
| ( sk1(sk3) != sk1(sk3) )
| ( sk2(sk1(sk3),sk3) != X0 ) ),
inference(resolution_lifted,[status(thm)],[c_426,c_444]) ).
tcf(c_549,plain,
greater_or_equal(end_time(sk1(sk3)),sk2(sk1(sk3),sk3)),
inference(unflattening,[status(thm)],[c_548]) ).
tcf(c_573,plain,
( ~ greater(end_time(sk1(sk3)),critical_point(sk1(sk3)))
| ( sk2(sk1(sk3),sk3) != end_time(sk1(sk3)) ) ),
inference(equality_resolution_simp,[status(thm)],[c_506]) ).
tcf(c_698,definition,
iPr_def_10 = sk1(sk3),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_699,definition,
iPr_def_11 = sk2(iPr_def_10,sk3),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_700,definition,
iPr_def_12 = end_time(iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_701,definition,
iPr_def_13 = critical_point(iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_703,plain,
( ~ greater(iPr_def_12,iPr_def_13)
| ( iPr_def_11 != iPr_def_12 ) ),
inference(demodulation,[status(thm)],[c_573,c_701,c_700,c_698,c_699]) ).
tcf(c_705,plain,
greater_or_equal(iPr_def_12,iPr_def_11),
inference(demodulation,[status(thm)],[c_549]) ).
tcf(c_707,plain,
( ~ greater_or_equal(iPr_def_12,iPr_def_14)
| ~ greater(iPr_def_12,iPr_def_13) ),
inference(demodulation,[status(thm)],[c_524]) ).
tcf(c_711,plain,
greater_or_equal(iPr_def_13,iPr_def_14),
inference(demodulation,[status(thm)],[c_439]) ).
tcf(c_712,plain,
greater(iPr_def_11,iPr_def_13),
inference(demodulation,[status(thm)],[c_433]) ).
tcf(c_1017,plain,
! [X0: $i] :
( greater(iPr_def_11,X0)
| ~ greater(iPr_def_13,X0) ),
inference(superposition,[status(thm)],[c_712,c_78]) ).
tcf(c_1032,plain,
( greater(iPr_def_12,iPr_def_11)
| ( iPr_def_11 = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_705,c_79]) ).
tcf(c_1033,plain,
( greater(iPr_def_13,iPr_def_14)
| ( iPr_def_13 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_711,c_79]) ).
tcf(c_1046,plain,
( greater(iPr_def_11,iPr_def_14)
| ( iPr_def_13 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_1033,c_1017]) ).
tcf(c_1071,plain,
! [X0: $i] :
( greater(iPr_def_12,X0)
| ( iPr_def_11 = iPr_def_12 )
| ~ greater(iPr_def_11,X0) ),
inference(superposition,[status(thm)],[c_1032,c_78]) ).
tcf(c_1089,plain,
( greater(iPr_def_12,iPr_def_13)
| ( iPr_def_11 = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_712,c_1071]) ).
tcf(c_1149,plain,
( greater(iPr_def_12,iPr_def_14)
| ( iPr_def_13 = iPr_def_14 )
| ( iPr_def_11 = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_1046,c_1071]) ).
tcf(c_1164,plain,
( greater_or_equal(iPr_def_12,iPr_def_13)
| ( iPr_def_11 = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_1089,c_80]) ).
tcf(c_1165,plain,
( ( iPr_def_11 = iPr_def_12 )
| ~ greater_or_equal(iPr_def_12,iPr_def_14) ),
inference(superposition,[status(thm)],[c_1089,c_707]) ).
tcf(c_1250,plain,
! [X0: $i] :
( greater(iPr_def_12,X0)
| ( iPr_def_13 = iPr_def_14 )
| ( iPr_def_11 = iPr_def_12 )
| ~ greater(iPr_def_14,X0) ),
inference(superposition,[status(thm)],[c_1149,c_78]) ).
tcf(c_1251,plain,
( greater_or_equal(iPr_def_12,iPr_def_14)
| ( iPr_def_13 = iPr_def_14 )
| ( iPr_def_11 = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_1149,c_80]) ).
tcf(c_1299,plain,
( ( iPr_def_11 = iPr_def_12 )
| ( iPr_def_13 = iPr_def_14 ) ),
inference(global_subsumption_just,[status(thm)],[c_1251,c_1165,c_1251]) ).
tcf(c_1300,plain,
( ( iPr_def_13 = iPr_def_14 )
| ( iPr_def_11 = iPr_def_12 ) ),
inference(renaming,[status(thm)],[c_1299]) ).
tcf(c_1306,plain,
( ( iPr_def_11 = iPr_def_12 )
| ~ greater_or_equal(iPr_def_12,iPr_def_13) ),
inference(superposition,[status(thm)],[c_1300,c_1165]) ).
tcf(c_1327,plain,
iPr_def_11 = iPr_def_12,
inference(global_subsumption_just,[status(thm)],[c_1250,c_1164,c_1306]) ).
tcf(c_1338,plain,
( ~ greater(iPr_def_11,iPr_def_13)
| ( iPr_def_11 != iPr_def_11 ) ),
inference(demodulation,[status(thm)],[c_703,c_1327]) ).
tcf(c_1349,plain,
~ greater(iPr_def_11,iPr_def_13),
inference(equality_resolution_simp,[status(thm)],[c_1338]) ).
tcf(c_1350,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_1349,c_712]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT039-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n010.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Thu Sep 24 01:09:57 UTC 2026
% 0.13/0.36 % CPUTime :
% 0.13/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.13/0.40 Running first-order theorem proving
% 0.13/0.40 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
% 0.13/0.41
% 0.13/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.41
% 0.13/0.41 % Detected problem language: tptp
% 0.13/0.42 % Proving...
% 2.41/1.27 % SZS status Started for theBenchmark.p
% 2.41/1.27 % SZS status Unsatisfiable for theBenchmark.p
% 2.41/1.27
% 2.41/1.27 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.41/1.27
% 2.41/1.27 % ------ iProver source info
% 2.41/1.27
% 2.41/1.27 % git: date: 2026-07-19 20:42:38 +0200
% 2.41/1.27 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.41/1.27 % git: non_committed_changes: false
% 2.41/1.27
% 2.41/1.27 % ------ Parsing...% successful
% 2.41/1.27
% 2.41/1.27
% 2.41/1.27 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.41/1.27
% 2.41/1.27 % ------ Preprocessing... sup_sim: 0 sf_s rm: 4 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe_e sup_sim: 0 sf_s rm: 7 0s sf_e pe_s pe_e %
% 2.41/1.27
% 2.41/1.27 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.41/1.27
% 2.41/1.27 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.41/1.27 % ------ Proving...
% 2.41/1.27 % ------ Problem Properties
% 2.41/1.27
% 2.41/1.27 %
% 2.41/1.27 % clauses 20
% 2.41/1.27 % conjectures 0
% 2.41/1.27 % EPR 15
% 2.41/1.27 % Horn 18
% 2.41/1.27 % unary 9
% 2.41/1.27 % binary 6
% 2.41/1.27 % lits 36
% 2.41/1.27 % lits eq 12
% 2.41/1.27 % fd_pure 0
% 2.41/1.27 % fd_pseudo 0
% 2.41/1.27 % fd_cond 0
% 2.41/1.27 % fd_pseudo_cond 1
% 2.41/1.27 % AC symbols 0
% 2.41/1.27
% 2.41/1.27 % ------ Schedule dynamic 5 is on
% 2.41/1.27
% 2.41/1.27 % ------ no conjectures: strip conj schedule
% 2.41/1.27
% 2.41/1.27 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 2.41/1.27
% 2.41/1.27
% 2.41/1.27 % ------
% 2.41/1.27 % Current options:
% 2.41/1.27 % ------
% 2.41/1.27
% 2.41/1.27
% 2.41/1.27 %
% 2.41/1.27
% 2.41/1.27 % ------ Proving...
% 2.41/1.27 %
% 2.41/1.27
% 2.41/1.27 % SZS status Unsatisfiable for theBenchmark.p
% 2.41/1.27
% 2.41/1.27 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.41/1.27
% 2.41/1.27
%------------------------------------------------------------------------------