%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : MGT080+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n016.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 02:13:02 PM UTC 2026
% Result : Theorem 2.70s 1.29s
% Output : CNFRefutation 2.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 6
% Syntax : Number of formulae : 45 ( 19 unt; 0 def)
% Number of atoms : 144 ( 55 equ)
% Maximal formula atoms : 36 ( 3 avg)
% Number of connectives : 168 ( 69 ~; 28 |; 67 &)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 37 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 13 con; 0-0 aty)
% Number of variables : 60 ( 0 sgn 48 !; 12 ?; 19 :)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0,X1] :
( ( leq(X1,X0)
& leq(X0,X1) )
=> X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT002+0.ax',leq_antisym) ).
fof(f6,axiom,
! [X0,X1] :
( less(X0,X1)
=> leq(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT002+0.ax',less_implies_leq) ).
fof(f10,axiom,
! [X0,X1,X2] :
( in_closed(X0,X1,X2)
<=> ( leq(X0,X2)
& leq(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT002+2.ax',in_closed) ).
fof(f72,axiom,
less(v600,v800),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v600_v800) ).
fof(f73,axiom,
( v600 != v800
& v500 != v800
& v500 != v600
& v300 != v800
& v300 != v600
& v300 != v500
& v150 != v800
& v150 != v600
& v150 != v500
& v150 != v300
& v100 != v800
& v100 != v600
& v100 != v500
& v100 != v300
& v100 != v150
& v32 != v800
& v32 != v600
& v32 != v500
& v32 != v300
& v32 != v150
& v32 != v100
& v8 != v800
& v8 != v600
& v8 != v500
& v8 != v300
& v8 != v150
& v8 != v100
& v8 != v32
& v0 != v800
& v0 != v600
& v0 != v500
& v0 != v300
& v0 != v150
& v0 != v100
& v0 != v32
& v0 != v8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distinct) ).
fof(f74,conjecture,
~ ? [X0,X1,X2,X3] :
( leq(v150,X3)
& in_lopen(X3,v0,v300)
& in_lopen(X2,v0,v32)
& leq(v8,X2)
& in_open(X1,v0,v500)
& less(v100,X1)
& in_closed(X0,v800,v800)
& in_closed(X0,v600,v600) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',odrl365) ).
fof(f75,negated_conjecture,
~ ~ ? [X0,X1,X2,X3] :
( leq(v150,X3)
& in_lopen(X3,v0,v300)
& in_lopen(X2,v0,v32)
& leq(v8,X2)
& in_open(X1,v0,v500)
& less(v100,X1)
& in_closed(X0,v800,v800)
& in_closed(X0,v600,v600) ),
inference(negated_conjecture,[status(cth)],[f74]) ).
fof(f76,plain,
? [X0,X1,X2,X3] :
( leq(v150,X3)
& in_lopen(X3,v0,v300)
& in_lopen(X2,v0,v32)
& leq(v8,X2)
& in_open(X1,v0,v500)
& less(v100,X1)
& in_closed(X0,v800,v800)
& in_closed(X0,v600,v600) ),
inference(flattening,[],[f75]) ).
fof(f77,plain,
! [X0,X1,X2] :
( in_closed(X0,X1,X2)
=> ( leq(X0,X2)
& leq(X1,X0) ) ),
inference(unused_predicate_definition_removal,[],[f10]) ).
fof(f91,plain,
! [X0,X1] :
( ~ leq(X1,X0)
| ~ leq(X0,X1)
| X0 = X1 ),
inference(ennf_transformation,[],[f5]) ).
fof(f92,plain,
! [X0,X1] :
( ~ leq(X1,X0)
| ~ leq(X0,X1)
| X0 = X1 ),
inference(flattening,[],[f91]) ).
fof(f93,plain,
! [X0,X1] :
( ~ less(X0,X1)
| leq(X0,X1) ),
inference(ennf_transformation,[],[f6]) ).
fof(f100,plain,
! [X0,X1,X2] :
( ~ in_closed(X0,X1,X2)
| ( leq(X0,X2)
& leq(X1,X0) ) ),
inference(ennf_transformation,[],[f77]) ).
fof(f115,plain,
( leq(v150,sK3)
& in_lopen(sK3,v0,v300)
& in_lopen(sK2,v0,v32)
& leq(v8,sK2)
& in_open(sK1,v0,v500)
& less(v100,sK1)
& in_closed(sK0,v800,v800)
& in_closed(sK0,v600,v600) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3)],[f76]) ).
fof(f122,plain,
! [X0,X1] :
( ~ leq(X1,X0)
| ~ leq(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f92]) ).
fof(f123,plain,
! [X0,X1] :
( ~ less(X0,X1)
| leq(X0,X1) ),
inference(cnf_transformation,[],[f93]) ).
fof(f127,plain,
! [X2,X0,X1] :
( ~ in_closed(X0,X1,X2)
| leq(X0,X2) ),
inference(cnf_transformation,[],[f100]) ).
fof(f128,plain,
! [X2,X0,X1] :
( ~ in_closed(X0,X1,X2)
| leq(X1,X0) ),
inference(cnf_transformation,[],[f100]) ).
fof(f181,plain,
less(v600,v800),
inference(cnf_transformation,[],[f72]) ).
fof(f182,plain,
v600 != v800,
inference(cnf_transformation,[],[f73]) ).
fof(f224,plain,
in_closed(sK0,v800,v800),
inference(cnf_transformation,[],[f115]) ).
fof(f225,plain,
in_closed(sK0,v600,v600),
inference(cnf_transformation,[],[f115]) ).
tcf(c_55,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ leq(X1,X0)
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f122]) ).
tcf(c_56,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| ~ less(X0,X1) ),
inference(cnf_transformation,[],[f123]) ).
tcf(c_60,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,X0)
| ~ in_closed(X0,X1,X2) ),
inference(cnf_transformation,[],[f128]) ).
tcf(c_61,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,X2)
| ~ in_closed(X0,X1,X2) ),
inference(cnf_transformation,[],[f127]) ).
tcf(c_114,plain,
less(v600,v800),
inference(cnf_transformation,[],[f181]) ).
tcf(c_150,plain,
v600 != v800,
inference(cnf_transformation,[],[f182]) ).
tcf(c_151,negated_conjecture,
in_closed(sK0,v600,v600),
inference(cnf_transformation,[],[f225]) ).
tcf(c_152,negated_conjecture,
in_closed(sK0,v800,v800),
inference(cnf_transformation,[],[f224]) ).
tcf(c_599,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,X2)
| ( X2 != v600 )
| ( X1 != v600 )
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_61,c_151]) ).
tcf(c_600,plain,
leq(sK0,v600),
inference(unflattening,[status(thm)],[c_599]) ).
tcf(c_609,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,X2)
| ( X2 != v800 )
| ( X1 != v800 )
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_61,c_152]) ).
tcf(c_610,plain,
leq(sK0,v800),
inference(unflattening,[status(thm)],[c_609]) ).
tcf(c_614,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,X0)
| ( X2 != v800 )
| ( X1 != v800 )
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_60,c_152]) ).
tcf(c_615,plain,
leq(v800,sK0),
inference(unflattening,[status(thm)],[c_614]) ).
tcf(c_1012,plain,
leq(v800,sK0),
inference(demodulation,[status(thm)],[c_615]) ).
tcf(c_1013,plain,
leq(sK0,v800),
inference(demodulation,[status(thm)],[c_610]) ).
tcf(c_1015,plain,
leq(sK0,v600),
inference(demodulation,[status(thm)],[c_600]) ).
tcf(c_1686,plain,
leq(v600,v800),
inference(superposition,[status(thm)],[c_114,c_56]) ).
tcf(c_2406,plain,
( ( v600 = v800 )
| ~ leq(v800,v600)
| ~ leq(v600,v800) ),
inference(instantiation,[status(thm)],[c_55]) ).
tcf(c_2708,plain,
( ( v800 = sK0 )
| ~ leq(sK0,v800) ),
inference(superposition,[status(thm)],[c_1012,c_55]) ).
tcf(c_2754,plain,
v800 = sK0,
inference(forward_subsumption_resolution,[status(thm)],[c_2708,c_1013]) ).
tcf(c_2760,plain,
leq(v800,v600),
inference(demodulation,[status(thm)],[c_1015,c_2754]) ).
tcf(c_2764,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_2760,c_2406,c_1686,c_150]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT080+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.38 % Computer : n016.cluster.edu
% 0.09/0.38 % Model : x86_64 x86_64
% 0.09/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.38 % Memory : 8046.5625MB
% 0.09/0.38 % OS : Linux 6.8.0-71-generic
% 0.09/0.38 % CPULimit : 300
% 0.09/0.38 % WCLimit : 300
% 0.09/0.38 % DateTime : Thu Sep 24 01:25:27 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 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
% 0.09/0.44 % Proving...
% 2.70/1.29 % SZS status Started for theBenchmark.p
% 2.70/1.29 % SZS status Theorem for theBenchmark.p
% 2.70/1.29
% 2.70/1.29 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.70/1.29
% 2.70/1.29 % ------ iProver source info
% 2.70/1.29
% 2.70/1.29 % git: date: 2026-07-19 20:42:38 +0200
% 2.70/1.29 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.70/1.29 % git: non_committed_changes: false
% 2.70/1.29
% 2.70/1.29 % ------ Parsing...
% 2.70/1.29 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.70/1.29
% 2.70/1.29 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sup_sim: 0 sf_s rm: 4 0s sf_e pe_s pe_e %
% 2.70/1.29
% 2.70/1.29 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.70/1.29
% 2.70/1.29 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.70/1.29 % ------ Proving...
% 2.70/1.29 % ------ Problem Properties
% 2.70/1.29
% 2.70/1.29 %
% 2.70/1.29 % clauses 108
% 2.70/1.29 % conjectures 3
% 2.70/1.29 % EPR 102
% 2.70/1.29 % Horn 102
% 2.70/1.29 % unary 94
% 2.70/1.29 % binary 3
% 2.70/1.29 % lits 136
% 2.70/1.29 % lits eq 55
% 2.70/1.29 % fd_pure 0
% 2.70/1.29 % fd_pseudo 0
% 2.70/1.29 % fd_cond 3
% 2.70/1.29 % fd_pseudo_cond 3
% 2.70/1.29 % AC symbols 0
% 2.70/1.29
% 2.70/1.29 % ------ Schedule dynamic 5 is on
% 2.70/1.29
% 2.70/1.29 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.70/1.29
% 2.70/1.29
% 2.70/1.29 % ------
% 2.70/1.29 % Current options:
% 2.70/1.29 % ------
% 2.70/1.29
% 2.70/1.29
% 2.70/1.29 %
% 2.70/1.29
% 2.70/1.29 % ------ Proving...
% 2.70/1.29 %
% 2.70/1.29
% 2.70/1.29 % SZS status Theorem for theBenchmark.p
% 2.70/1.29
% 2.70/1.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.70/1.29
% 2.70/1.29
%------------------------------------------------------------------------------