%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : MGT039+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n018.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 : Theorem 2.39s 1.29s
% Output : CNFRefutation 2.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 15
% Syntax : Number of formulae : 139 ( 31 unt; 4 def)
% Number of atoms : 493 ( 54 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 473 ( 210 ~; 217 |; 34 &)
% ( 1 <=>; 11 =>; 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; 0-1 aty)
% Number of variables : 137 ( 0 sgn 130 !; 7 ?; 56 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] :
( ( ! [X1] :
( ( in_environment(X0,X1)
& environment(X1) )
=> selection_favors(efficient_producers,first_movers,end_time(X1)) )
& propagation_strategy(efficient_producers)
& propagation_strategy(first_movers)
& observational_period(X0) )
=> selection_favors(efficient_producers,first_movers,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp3_favoured_trategy) ).
fof(f2,axiom,
! [X0] :
( ( slow_change(X0)
& observational_period(X0) )
=> ! [X1] :
( ( in_environment(X0,X1)
& environment(X1) )
=> ? [X2] :
( greater(X2,critical_point(X1))
& in_environment(X1,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp4_critical_point) ).
fof(f3,axiom,
propagation_strategy(first_movers),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_organizational_sets1) ).
fof(f4,axiom,
propagation_strategy(efficient_producers),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_organizational_sets2) ).
fof(f5,axiom,
! [X0,X1] :
( ( greater_or_equal(end_time(X0),X1)
& greater_or_equal(X1,start_time(X0))
& environment(X0) )
=> in_environment(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_time_in_environment) ).
fof(f6,axiom,
! [X0,X1] :
( ( in_environment(X0,X1)
& environment(X0) )
=> greater_or_equal(end_time(X0),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_environment_end_point) ).
fof(f7,axiom,
! [X0] :
( environment(X0)
=> greater_or_equal(critical_point(X0),start_time(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_time_of_critical_point) ).
fof(f8,axiom,
! [X0,X1,X2] :
( ( greater(X1,X2)
& greater(X0,X1) )
=> greater(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_greater_transitivity) ).
fof(f9,axiom,
! [X0,X1] :
( greater_or_equal(X0,X1)
<=> ( X0 = X1
| greater(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_greater_or_equal) ).
fof(f11,axiom,
! [X0,X1] :
( ( greater(X1,critical_point(X0))
& in_environment(X0,X1)
& environment(X0) )
=> selection_favors(efficient_producers,first_movers,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l8) ).
fof(f12,conjecture,
! [X0] :
( ( slow_change(X0)
& observational_period(X0) )
=> selection_favors(efficient_producers,first_movers,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t8) ).
fof(f13,negated_conjecture,
~ ! [X0] :
( ( slow_change(X0)
& observational_period(X0) )
=> selection_favors(efficient_producers,first_movers,X0) ),
inference(negated_conjecture,[status(cth)],[f12]) ).
fof(f14,plain,
! [X0] :
( ? [X1] :
( in_environment(X0,X1)
& environment(X1)
& ~ selection_favors(efficient_producers,first_movers,end_time(X1)) )
| ~ propagation_strategy(efficient_producers)
| ~ propagation_strategy(first_movers)
| ~ observational_period(X0)
| selection_favors(efficient_producers,first_movers,X0) ),
inference(ennf_transformation,[],[f1]) ).
fof(f15,plain,
! [X0] :
( ? [X1] :
( in_environment(X0,X1)
& environment(X1)
& ~ selection_favors(efficient_producers,first_movers,end_time(X1)) )
| ~ propagation_strategy(efficient_producers)
| ~ propagation_strategy(first_movers)
| ~ observational_period(X0)
| selection_favors(efficient_producers,first_movers,X0) ),
inference(flattening,[],[f14]) ).
fof(f16,plain,
! [X0] :
( ~ slow_change(X0)
| ~ observational_period(X0)
| ! [X1] :
( ~ in_environment(X0,X1)
| ~ environment(X1)
| ? [X2] :
( greater(X2,critical_point(X1))
& in_environment(X1,X2) ) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f17,plain,
! [X0] :
( ~ slow_change(X0)
| ~ observational_period(X0)
| ! [X1] :
( ~ in_environment(X0,X1)
| ~ environment(X1)
| ? [X2] :
( greater(X2,critical_point(X1))
& in_environment(X1,X2) ) ) ),
inference(flattening,[],[f16]) ).
fof(f18,plain,
! [X0,X1] :
( ~ greater_or_equal(end_time(X0),X1)
| ~ greater_or_equal(X1,start_time(X0))
| ~ environment(X0)
| in_environment(X0,X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f19,plain,
! [X0,X1] :
( ~ greater_or_equal(end_time(X0),X1)
| ~ greater_or_equal(X1,start_time(X0))
| ~ environment(X0)
| in_environment(X0,X1) ),
inference(flattening,[],[f18]) ).
fof(f20,plain,
! [X0,X1] :
( ~ in_environment(X0,X1)
| ~ environment(X0)
| greater_or_equal(end_time(X0),X1) ),
inference(ennf_transformation,[],[f6]) ).
fof(f21,plain,
! [X0,X1] :
( ~ in_environment(X0,X1)
| ~ environment(X0)
| greater_or_equal(end_time(X0),X1) ),
inference(flattening,[],[f20]) ).
fof(f22,plain,
! [X0] :
( ~ environment(X0)
| greater_or_equal(critical_point(X0),start_time(X0)) ),
inference(ennf_transformation,[],[f7]) ).
fof(f23,plain,
! [X0,X1,X2] :
( ~ greater(X1,X2)
| ~ greater(X0,X1)
| greater(X0,X2) ),
inference(ennf_transformation,[],[f8]) ).
fof(f24,plain,
! [X0,X1,X2] :
( ~ greater(X1,X2)
| ~ greater(X0,X1)
| greater(X0,X2) ),
inference(flattening,[],[f23]) ).
fof(f27,plain,
! [X0,X1] :
( ~ greater(X1,critical_point(X0))
| ~ in_environment(X0,X1)
| ~ environment(X0)
| selection_favors(efficient_producers,first_movers,X1) ),
inference(ennf_transformation,[],[f11]) ).
fof(f28,plain,
! [X0,X1] :
( ~ greater(X1,critical_point(X0))
| ~ in_environment(X0,X1)
| ~ environment(X0)
| selection_favors(efficient_producers,first_movers,X1) ),
inference(flattening,[],[f27]) ).
fof(f29,plain,
? [X0] :
( slow_change(X0)
& observational_period(X0)
& ~ selection_favors(efficient_producers,first_movers,X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f30,plain,
? [X0] :
( slow_change(X0)
& observational_period(X0)
& ~ selection_favors(efficient_producers,first_movers,X0) ),
inference(flattening,[],[f29]) ).
fof(f31,plain,
! [X0] :
( ( in_environment(X0,sK0(X0))
& environment(sK0(X0))
& ~ selection_favors(efficient_producers,first_movers,end_time(sK0(X0))) )
| ~ propagation_strategy(efficient_producers)
| ~ propagation_strategy(first_movers)
| ~ observational_period(X0)
| selection_favors(efficient_producers,first_movers,X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X1,sK0(X0))],[f15]) ).
fof(f32,plain,
! [X0] :
( ~ slow_change(X0)
| ~ observational_period(X0)
| ! [X1] :
( ~ in_environment(X0,X1)
| ~ environment(X1)
| ( greater(sK1(X1),critical_point(X1))
& in_environment(X1,sK1(X1)) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X2,sK1(X1))],[f17]) ).
fof(f33,plain,
! [X0,X1] :
( ( ~ greater_or_equal(X0,X1)
| X0 = X1
| greater(X0,X1) )
& ( ( X0 != X1
& ~ greater(X0,X1) )
| greater_or_equal(X0,X1) ) ),
inference(nnf_transformation,[],[f9]) ).
fof(f34,plain,
! [X0,X1] :
( ( ~ greater_or_equal(X0,X1)
| X0 = X1
| greater(X0,X1) )
& ( ( X0 != X1
& ~ greater(X0,X1) )
| greater_or_equal(X0,X1) ) ),
inference(flattening,[],[f33]) ).
fof(f35,plain,
( slow_change(sK2)
& observational_period(sK2)
& ~ selection_favors(efficient_producers,first_movers,sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X0,sK2)],[f30]) ).
fof(f36,plain,
! [X0] :
( in_environment(X0,sK0(X0))
| ~ propagation_strategy(efficient_producers)
| ~ propagation_strategy(first_movers)
| ~ observational_period(X0)
| selection_favors(efficient_producers,first_movers,X0) ),
inference(cnf_transformation,[],[f31]) ).
fof(f37,plain,
! [X0] :
( environment(sK0(X0))
| ~ propagation_strategy(efficient_producers)
| ~ propagation_strategy(first_movers)
| ~ observational_period(X0)
| selection_favors(efficient_producers,first_movers,X0) ),
inference(cnf_transformation,[],[f31]) ).
fof(f38,plain,
! [X0] :
( ~ selection_favors(efficient_producers,first_movers,end_time(sK0(X0)))
| ~ propagation_strategy(efficient_producers)
| ~ propagation_strategy(first_movers)
| ~ observational_period(X0)
| selection_favors(efficient_producers,first_movers,X0) ),
inference(cnf_transformation,[],[f31]) ).
fof(f39,plain,
! [X0,X1] :
( ~ slow_change(X0)
| ~ observational_period(X0)
| ~ in_environment(X0,X1)
| ~ environment(X1)
| greater(sK1(X1),critical_point(X1)) ),
inference(cnf_transformation,[],[f32]) ).
fof(f40,plain,
! [X0,X1] :
( ~ slow_change(X0)
| ~ observational_period(X0)
| ~ in_environment(X0,X1)
| ~ environment(X1)
| in_environment(X1,sK1(X1)) ),
inference(cnf_transformation,[],[f32]) ).
fof(f41,plain,
propagation_strategy(first_movers),
inference(cnf_transformation,[],[f3]) ).
fof(f42,plain,
propagation_strategy(efficient_producers),
inference(cnf_transformation,[],[f4]) ).
fof(f43,plain,
! [X0,X1] :
( ~ greater_or_equal(end_time(X0),X1)
| ~ greater_or_equal(X1,start_time(X0))
| ~ environment(X0)
| in_environment(X0,X1) ),
inference(cnf_transformation,[],[f19]) ).
fof(f44,plain,
! [X0,X1] :
( ~ in_environment(X0,X1)
| ~ environment(X0)
| greater_or_equal(end_time(X0),X1) ),
inference(cnf_transformation,[],[f21]) ).
fof(f45,plain,
! [X0] :
( ~ environment(X0)
| greater_or_equal(critical_point(X0),start_time(X0)) ),
inference(cnf_transformation,[],[f22]) ).
fof(f46,plain,
! [X2,X0,X1] :
( ~ greater(X1,X2)
| ~ greater(X0,X1)
| greater(X0,X2) ),
inference(cnf_transformation,[],[f24]) ).
fof(f47,plain,
! [X0,X1] :
( ~ greater_or_equal(X0,X1)
| X0 = X1
| greater(X0,X1) ),
inference(cnf_transformation,[],[f34]) ).
fof(f48,plain,
! [X0,X1] :
( X0 != X1
| greater_or_equal(X0,X1) ),
inference(cnf_transformation,[],[f34]) ).
fof(f49,plain,
! [X0,X1] :
( ~ greater(X0,X1)
| greater_or_equal(X0,X1) ),
inference(cnf_transformation,[],[f34]) ).
fof(f51,plain,
! [X0,X1] :
( ~ greater(X1,critical_point(X0))
| ~ in_environment(X0,X1)
| ~ environment(X0)
| selection_favors(efficient_producers,first_movers,X1) ),
inference(cnf_transformation,[],[f28]) ).
fof(f52,plain,
slow_change(sK2),
inference(cnf_transformation,[],[f35]) ).
fof(f53,plain,
observational_period(sK2),
inference(cnf_transformation,[],[f35]) ).
fof(f54,plain,
~ selection_favors(efficient_producers,first_movers,sK2),
inference(cnf_transformation,[],[f35]) ).
fof(f55,plain,
! [X1] : greater_or_equal(X1,X1),
inference(equality_resolution,[],[f48]) ).
tcf(c_49,plain,
! [X0: $i] :
( selection_favors(efficient_producers,first_movers,X0)
| ~ propagation_strategy(first_movers)
| ~ propagation_strategy(efficient_producers)
| ~ observational_period(X0)
| ~ selection_favors(efficient_producers,first_movers,end_time(sK0(X0))) ),
inference(cnf_transformation,[],[f38]) ).
tcf(c_50,plain,
! [X0: $i] :
( environment(sK0(X0))
| selection_favors(efficient_producers,first_movers,X0)
| ~ propagation_strategy(first_movers)
| ~ propagation_strategy(efficient_producers)
| ~ observational_period(X0) ),
inference(cnf_transformation,[],[f37]) ).
tcf(c_51,plain,
! [X0: $i] :
( selection_favors(efficient_producers,first_movers,X0)
| in_environment(X0,sK0(X0))
| ~ propagation_strategy(first_movers)
| ~ propagation_strategy(efficient_producers)
| ~ observational_period(X0) ),
inference(cnf_transformation,[],[f36]) ).
tcf(c_52,plain,
! [X0: $i,X1: $i] :
( in_environment(X1,sK1(X1))
| ~ slow_change(X0)
| ~ environment(X1)
| ~ observational_period(X0)
| ~ in_environment(X0,X1) ),
inference(cnf_transformation,[],[f40]) ).
tcf(c_53,plain,
! [X0: $i,X1: $i] :
( greater(sK1(X1),critical_point(X1))
| ~ slow_change(X0)
| ~ environment(X1)
| ~ observational_period(X0)
| ~ in_environment(X0,X1) ),
inference(cnf_transformation,[],[f39]) ).
tcf(c_54,plain,
propagation_strategy(first_movers),
inference(cnf_transformation,[],[f41]) ).
tcf(c_55,plain,
propagation_strategy(efficient_producers),
inference(cnf_transformation,[],[f42]) ).
tcf(c_56,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,[],[f43]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i] :
( greater_or_equal(end_time(X0),X1)
| ~ environment(X0)
| ~ in_environment(X0,X1) ),
inference(cnf_transformation,[],[f44]) ).
tcf(c_58,plain,
! [X0: $i] :
( greater_or_equal(critical_point(X0),start_time(X0))
| ~ environment(X0) ),
inference(cnf_transformation,[],[f45]) ).
tcf(c_59,plain,
! [X0: $i,X1: $i,X2: $i] :
( greater(X0,X2)
| ~ greater(X1,X2)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[],[f46]) ).
tcf(c_60,plain,
! [X0: $i,X1: $i] :
( greater_or_equal(X0,X1)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[],[f49]) ).
tcf(c_61,plain,
! [X0: $i] : greater_or_equal(X0,X0),
inference(cnf_transformation,[],[f55]) ).
tcf(c_62,plain,
! [X0: $i,X1: $i] :
( greater(X0,X1)
| ( X0 = X1 )
| ~ greater_or_equal(X0,X1) ),
inference(cnf_transformation,[],[f47]) ).
tcf(c_64,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,[],[f51]) ).
tcf(c_65,negated_conjecture,
~ selection_favors(efficient_producers,first_movers,sK2),
inference(cnf_transformation,[],[f54]) ).
tcf(c_66,negated_conjecture,
observational_period(sK2),
inference(cnf_transformation,[],[f53]) ).
tcf(c_67,negated_conjecture,
slow_change(sK2),
inference(cnf_transformation,[],[f52]) ).
tcf(c_80,plain,
! [X0: $i] :
( environment(sK0(X0))
| selection_favors(efficient_producers,first_movers,X0)
| ~ observational_period(X0) ),
inference(global_subsumption_just,[status(thm)],[c_50,c_55,c_54,c_50]) ).
tcf(c_83,plain,
! [X0: $i] :
( selection_favors(efficient_producers,first_movers,X0)
| in_environment(X0,sK0(X0))
| ~ observational_period(X0) ),
inference(global_subsumption_just,[status(thm)],[c_51,c_55,c_54,c_51]) ).
tcf(c_86,plain,
! [X0: $i] :
( selection_favors(efficient_producers,first_movers,X0)
| ~ observational_period(X0)
| ~ selection_favors(efficient_producers,first_movers,end_time(sK0(X0))) ),
inference(global_subsumption_just,[status(thm)],[c_49,c_55,c_54,c_49]) ).
tcf(c_287,plain,
! [X0: $i,X1: $i] :
( greater(sK1(X1),critical_point(X1))
| ~ environment(X1)
| ~ observational_period(X0)
| ~ in_environment(X0,X1)
| ( X0 != sK2 ) ),
inference(resolution_lifted,[status(thm)],[c_53,c_67]) ).
tcf(c_288,plain,
! [X0: $i] :
( greater(sK1(X0),critical_point(X0))
| ~ observational_period(sK2)
| ~ environment(X0)
| ~ in_environment(sK2,X0) ),
inference(unflattening,[status(thm)],[c_287]) ).
tcf(c_290,plain,
! [X0: $i] :
( greater(sK1(X0),critical_point(X0))
| ~ in_environment(sK2,X0)
| ~ environment(X0) ),
inference(global_subsumption_just,[status(thm)],[c_288,c_66,c_288]) ).
tcf(c_291,plain,
! [X0: $i] :
( greater(sK1(X0),critical_point(X0))
| ~ environment(X0)
| ~ in_environment(sK2,X0) ),
inference(renaming,[status(thm)],[c_290]) ).
tcf(c_302,plain,
! [X0: $i,X1: $i] :
( in_environment(X1,sK1(X1))
| ~ environment(X1)
| ~ observational_period(X0)
| ~ in_environment(X0,X1)
| ( X0 != sK2 ) ),
inference(resolution_lifted,[status(thm)],[c_52,c_67]) ).
tcf(c_303,plain,
! [X0: $i] :
( in_environment(X0,sK1(X0))
| ~ observational_period(sK2)
| ~ environment(X0)
| ~ in_environment(sK2,X0) ),
inference(unflattening,[status(thm)],[c_302]) ).
tcf(c_305,plain,
! [X0: $i] :
( in_environment(X0,sK1(X0))
| ~ in_environment(sK2,X0)
| ~ environment(X0) ),
inference(global_subsumption_just,[status(thm)],[c_303,c_66,c_303]) ).
tcf(c_306,plain,
! [X0: $i] :
( in_environment(X0,sK1(X0))
| ~ environment(X0)
| ~ in_environment(sK2,X0) ),
inference(renaming,[status(thm)],[c_305]) ).
tcf(c_323,plain,
! [X0: $i] :
( selection_favors(efficient_producers,first_movers,X0)
| ~ selection_favors(efficient_producers,first_movers,end_time(sK0(X0)))
| ( X0 != sK2 ) ),
inference(resolution_lifted,[status(thm)],[c_86,c_66]) ).
tcf(c_324,plain,
( selection_favors(efficient_producers,first_movers,sK2)
| ~ selection_favors(efficient_producers,first_movers,end_time(sK0(sK2))) ),
inference(unflattening,[status(thm)],[c_323]) ).
tcf(c_325,plain,
~ selection_favors(efficient_producers,first_movers,end_time(sK0(sK2))),
inference(global_subsumption_just,[status(thm)],[c_324,c_65,c_324]) ).
tcf(c_330,plain,
! [X0: $i] :
( selection_favors(efficient_producers,first_movers,X0)
| in_environment(X0,sK0(X0))
| ( X0 != sK2 ) ),
inference(resolution_lifted,[status(thm)],[c_83,c_66]) ).
tcf(c_331,plain,
( in_environment(sK2,sK0(sK2))
| selection_favors(efficient_producers,first_movers,sK2) ),
inference(unflattening,[status(thm)],[c_330]) ).
tcf(c_337,plain,
! [X0: $i] :
( environment(sK0(X0))
| selection_favors(efficient_producers,first_movers,X0)
| ( X0 != sK2 ) ),
inference(resolution_lifted,[status(thm)],[c_80,c_66]) ).
tcf(c_338,plain,
( environment(sK0(sK2))
| selection_favors(efficient_producers,first_movers,sK2) ),
inference(unflattening,[status(thm)],[c_337]) ).
tcf(c_339,plain,
environment(sK0(sK2)),
inference(global_subsumption_just,[status(thm)],[c_338,c_65,c_338]) ).
tcf(c_359,plain,
! [X0: $i,X1: $i] :
( ~ environment(X1)
| ~ in_environment(X1,X0)
| ~ greater(X0,critical_point(X1))
| ( first_movers != first_movers )
| ( efficient_producers != efficient_producers )
| ( end_time(sK0(sK2)) != X0 ) ),
inference(resolution_lifted,[status(thm)],[c_64,c_325]) ).
tcf(c_360,plain,
! [X0: $i] :
( ~ environment(X0)
| ~ in_environment(X0,end_time(sK0(sK2)))
| ~ greater(end_time(sK0(sK2)),critical_point(X0)) ),
inference(unflattening,[status(thm)],[c_359]) ).
tcf(c_389,plain,
! [X0: $i] :
( ~ in_environment(X0,end_time(sK0(sK2)))
| ~ greater(end_time(sK0(sK2)),critical_point(X0))
| ( sK0(sK2) != X0 ) ),
inference(resolution_lifted,[status(thm)],[c_360,c_339]) ).
tcf(c_390,plain,
( ~ in_environment(sK0(sK2),end_time(sK0(sK2)))
| ~ greater(end_time(sK0(sK2)),critical_point(sK0(sK2))) ),
inference(unflattening,[status(thm)],[c_389]) ).
tcf(c_405,plain,
! [X0: $i] :
( in_environment(X0,sK1(X0))
| ~ in_environment(sK2,X0)
| ( sK0(sK2) != X0 ) ),
inference(resolution_lifted,[status(thm)],[c_306,c_339]) ).
tcf(c_406,plain,
( in_environment(sK0(sK2),sK1(sK0(sK2)))
| ~ in_environment(sK2,sK0(sK2)) ),
inference(unflattening,[status(thm)],[c_405]) ).
tcf(c_407,plain,
in_environment(sK0(sK2),sK1(sK0(sK2))),
inference(global_subsumption_just,[status(thm)],[c_406,c_65,c_331,c_406]) ).
tcf(c_412,plain,
! [X0: $i] :
( greater(sK1(X0),critical_point(X0))
| ~ in_environment(sK2,X0)
| ( sK0(sK2) != X0 ) ),
inference(resolution_lifted,[status(thm)],[c_291,c_339]) ).
tcf(c_413,plain,
( greater(sK1(sK0(sK2)),critical_point(sK0(sK2)))
| ~ in_environment(sK2,sK0(sK2)) ),
inference(unflattening,[status(thm)],[c_412]) ).
tcf(c_414,plain,
greater(sK1(sK0(sK2)),critical_point(sK0(sK2))),
inference(global_subsumption_just,[status(thm)],[c_413,c_65,c_331,c_413]) ).
tcf(c_419,plain,
! [X0: $i] :
( greater_or_equal(critical_point(X0),start_time(X0))
| ( sK0(sK2) != X0 ) ),
inference(resolution_lifted,[status(thm)],[c_58,c_339]) ).
tcf(c_420,plain,
greater_or_equal(critical_point(sK0(sK2)),start_time(sK0(sK2))),
inference(unflattening,[status(thm)],[c_419]) ).
tcf(c_424,plain,
! [X0: $i,X1: $i] :
( greater_or_equal(end_time(X0),X1)
| ~ in_environment(X0,X1)
| ( sK0(sK2) != X0 ) ),
inference(resolution_lifted,[status(thm)],[c_57,c_339]) ).
tcf(c_425,plain,
! [X0: $i] :
( greater_or_equal(end_time(sK0(sK2)),X0)
| ~ in_environment(sK0(sK2),X0) ),
inference(unflattening,[status(thm)],[c_424]) ).
tcf(c_433,plain,
! [X0: $i,X1: $i] :
( in_environment(X0,X1)
| ~ greater_or_equal(X1,start_time(X0))
| ~ greater_or_equal(end_time(X0),X1)
| ( sK0(sK2) != X0 ) ),
inference(resolution_lifted,[status(thm)],[c_56,c_339]) ).
tcf(c_434,plain,
! [X0: $i] :
( in_environment(sK0(sK2),X0)
| ~ greater_or_equal(X0,start_time(sK0(sK2)))
| ~ greater_or_equal(end_time(sK0(sK2)),X0) ),
inference(unflattening,[status(thm)],[c_433]) ).
tcf(c_487,plain,
( ~ greater(end_time(sK0(sK2)),critical_point(sK0(sK2)))
| ( sK0(sK2) != sK0(sK2) )
| ( end_time(sK0(sK2)) != sK1(sK0(sK2)) ) ),
inference(resolution_lifted,[status(thm)],[c_390,c_407]) ).
tcf(c_497,plain,
! [X0: $i] :
( ~ greater_or_equal(X0,start_time(sK0(sK2)))
| ~ greater_or_equal(end_time(sK0(sK2)),X0)
| ~ greater(end_time(sK0(sK2)),critical_point(sK0(sK2)))
| ( sK0(sK2) != sK0(sK2) )
| ( end_time(sK0(sK2)) != X0 ) ),
inference(resolution_lifted,[status(thm)],[c_390,c_434]) ).
tcf(c_498,plain,
( ~ greater_or_equal(end_time(sK0(sK2)),start_time(sK0(sK2)))
| ~ greater_or_equal(end_time(sK0(sK2)),end_time(sK0(sK2)))
| ~ greater(end_time(sK0(sK2)),critical_point(sK0(sK2))) ),
inference(unflattening,[status(thm)],[c_497]) ).
tcf(c_505,plain,
( ~ greater_or_equal(end_time(sK0(sK2)),start_time(sK0(sK2)))
| ~ greater(end_time(sK0(sK2)),critical_point(sK0(sK2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_498,c_61]) ).
tcf(c_529,plain,
! [X0: $i] :
( greater_or_equal(end_time(sK0(sK2)),X0)
| ( sK0(sK2) != sK0(sK2) )
| ( sK1(sK0(sK2)) != X0 ) ),
inference(resolution_lifted,[status(thm)],[c_407,c_425]) ).
tcf(c_530,plain,
greater_or_equal(end_time(sK0(sK2)),sK1(sK0(sK2))),
inference(unflattening,[status(thm)],[c_529]) ).
tcf(c_554,plain,
( ~ greater(end_time(sK0(sK2)),critical_point(sK0(sK2)))
| ( end_time(sK0(sK2)) != sK1(sK0(sK2)) ) ),
inference(equality_resolution_simp,[status(thm)],[c_487]) ).
tcf(c_679,definition,
iPr_def_10 = sK0(sK2),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_680,definition,
iPr_def_11 = end_time(iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_681,definition,
iPr_def_12 = sK1(iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_682,definition,
iPr_def_13 = critical_point(iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_684,plain,
( ~ greater(iPr_def_11,iPr_def_13)
| ( iPr_def_11 != iPr_def_12 ) ),
inference(demodulation,[status(thm)],[c_554,c_682,c_681,c_679,c_680]) ).
tcf(c_686,plain,
greater_or_equal(iPr_def_11,iPr_def_12),
inference(demodulation,[status(thm)],[c_530]) ).
tcf(c_688,plain,
( ~ greater_or_equal(iPr_def_11,iPr_def_14)
| ~ greater(iPr_def_11,iPr_def_13) ),
inference(demodulation,[status(thm)],[c_505]) ).
tcf(c_692,plain,
greater_or_equal(iPr_def_13,iPr_def_14),
inference(demodulation,[status(thm)],[c_420]) ).
tcf(c_693,plain,
greater(iPr_def_12,iPr_def_13),
inference(demodulation,[status(thm)],[c_414]) ).
tcf(c_994,plain,
! [X0: $i] :
( greater(iPr_def_12,X0)
| ~ greater(iPr_def_13,X0) ),
inference(superposition,[status(thm)],[c_693,c_59]) ).
tcf(c_1009,plain,
( greater(iPr_def_11,iPr_def_12)
| ( iPr_def_11 = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_686,c_62]) ).
tcf(c_1010,plain,
( greater(iPr_def_13,iPr_def_14)
| ( iPr_def_13 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_692,c_62]) ).
tcf(c_1023,plain,
( greater(iPr_def_12,iPr_def_14)
| ( iPr_def_13 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_1010,c_994]) ).
tcf(c_1048,plain,
! [X0: $i] :
( greater(iPr_def_11,X0)
| ( iPr_def_11 = iPr_def_12 )
| ~ greater(iPr_def_12,X0) ),
inference(superposition,[status(thm)],[c_1009,c_59]) ).
tcf(c_1066,plain,
( greater(iPr_def_11,iPr_def_13)
| ( iPr_def_11 = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_693,c_1048]) ).
tcf(c_1126,plain,
( greater(iPr_def_11,iPr_def_14)
| ( iPr_def_13 = iPr_def_14 )
| ( iPr_def_11 = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_1023,c_1048]) ).
tcf(c_1141,plain,
( greater_or_equal(iPr_def_11,iPr_def_13)
| ( iPr_def_11 = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_1066,c_60]) ).
tcf(c_1142,plain,
( ( iPr_def_11 = iPr_def_12 )
| ~ greater_or_equal(iPr_def_11,iPr_def_14) ),
inference(superposition,[status(thm)],[c_1066,c_688]) ).
tcf(c_1222,plain,
! [X0: $i] :
( greater(iPr_def_11,X0)
| ( iPr_def_13 = iPr_def_14 )
| ( iPr_def_11 = iPr_def_12 )
| ~ greater(iPr_def_14,X0) ),
inference(superposition,[status(thm)],[c_1126,c_59]) ).
tcf(c_1223,plain,
( greater_or_equal(iPr_def_11,iPr_def_14)
| ( iPr_def_13 = iPr_def_14 )
| ( iPr_def_11 = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_1126,c_60]) ).
tcf(c_1261,plain,
( ( iPr_def_11 = iPr_def_12 )
| ( iPr_def_13 = iPr_def_14 ) ),
inference(global_subsumption_just,[status(thm)],[c_1223,c_1142,c_1223]) ).
tcf(c_1262,plain,
( ( iPr_def_13 = iPr_def_14 )
| ( iPr_def_11 = iPr_def_12 ) ),
inference(renaming,[status(thm)],[c_1261]) ).
tcf(c_1268,plain,
( ( iPr_def_11 = iPr_def_12 )
| ~ greater_or_equal(iPr_def_11,iPr_def_13) ),
inference(superposition,[status(thm)],[c_1262,c_1142]) ).
tcf(c_1282,plain,
iPr_def_11 = iPr_def_12,
inference(global_subsumption_just,[status(thm)],[c_1222,c_1141,c_1268]) ).
tcf(c_1294,plain,
( ~ greater(iPr_def_11,iPr_def_13)
| ( iPr_def_11 != iPr_def_11 ) ),
inference(demodulation,[status(thm)],[c_684,c_1282]) ).
tcf(c_1298,plain,
greater(iPr_def_11,iPr_def_13),
inference(demodulation,[status(thm)],[c_693,c_1282]) ).
tcf(c_1305,plain,
~ greater(iPr_def_11,iPr_def_13),
inference(equality_resolution_simp,[status(thm)],[c_1294]) ).
tcf(c_1306,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_1305,c_1298]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT039+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.36 % Computer : n018.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.37 % DateTime : Thu Sep 24 01:11:47 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 0.11/0.42
% 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...
% 2.39/1.29 % SZS status Started for theBenchmark.p
% 2.39/1.29 % SZS status Theorem for theBenchmark.p
% 2.39/1.29
% 2.39/1.29 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.39/1.29
% 2.39/1.29 % ------ iProver source info
% 2.39/1.29
% 2.39/1.29 % git: date: 2026-07-19 20:42:38 +0200
% 2.39/1.29 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.39/1.29 % git: non_committed_changes: false
% 2.39/1.29
% 2.39/1.29 % ------ Parsing...
% 2.39/1.29 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.39/1.29
% 2.39/1.29 % ------ 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 %
% 2.39/1.29
% 2.39/1.29 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.39/1.29
% 2.39/1.29 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.39/1.29 % ------ Proving...
% 2.39/1.29 % ------ Problem Properties
% 2.39/1.29
% 2.39/1.29 %
% 2.39/1.29 % clauses 20
% 2.39/1.29 % conjectures 0
% 2.39/1.29 % EPR 15
% 2.39/1.29 % Horn 18
% 2.39/1.29 % unary 9
% 2.39/1.29 % binary 6
% 2.39/1.29 % lits 36
% 2.39/1.29 % lits eq 12
% 2.39/1.29 % fd_pure 0
% 2.39/1.29 % fd_pseudo 0
% 2.39/1.29 % fd_cond 0
% 2.39/1.29 % fd_pseudo_cond 1
% 2.39/1.29 % AC symbols 0
% 2.39/1.29
% 2.39/1.29 % ------ Schedule dynamic 5 is on
% 2.39/1.29
% 2.39/1.29 % ------ no conjectures: strip conj schedule
% 2.39/1.29
% 2.39/1.29 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 2.39/1.29
% 2.39/1.29
% 2.39/1.29 % ------
% 2.39/1.29 % Current options:
% 2.39/1.29 % ------
% 2.39/1.29
% 2.39/1.29
% 2.39/1.29 %
% 2.39/1.29
% 2.39/1.29 % ------ Proving...
% 2.39/1.29 %
% 2.39/1.29
% 2.39/1.29 % SZS status Theorem for theBenchmark.p
% 2.39/1.29
% 2.39/1.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.39/1.29
% 2.39/1.29
%------------------------------------------------------------------------------