%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : MGT084+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n015.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 02:13:03 PM UTC 2026
% Result : Theorem 0.43s 1.29s
% Output : CNFRefutation 0.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of formulae : 34 ( 14 unt; 0 def)
% Number of atoms : 80 ( 10 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 70 ( 24 ~; 18 |; 24 &)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 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 : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 7 con; 0-0 aty)
% Number of variables : 48 ( 0 sgn 39 !; 9 ?; 11 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : ~ less(X0,X0),
file('/export/starexec/sandbox/benchmark/Axioms/MGT002+0.ax',irreflexive) ).
fof(f5,axiom,
! [X0,X1] :
( ( leq(X1,X0)
& leq(X0,X1) )
=> X0 = X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/MGT002+0.ax',leq_antisym) ).
fof(f6,axiom,
! [X0,X1] :
( less(X0,X1)
=> leq(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/MGT002+0.ax',less_implies_leq) ).
fof(f11,axiom,
! [X0,X1,X2] :
( in_lopen(X0,X1,X2)
<=> ( leq(X0,X2)
& less(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/MGT002+2.ax',in_lopen) ).
fof(f39,conjecture,
~ ? [X0,X1,X2] :
( leq(v200,X2)
& in_lopen(X2,v0,v200)
& less(v400,X1)
& in_lopen(X1,v0,v400)
& leq(v600,X0)
& in_lopen(X0,v0,v600) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',odrl432) ).
fof(f40,negated_conjecture,
~ ~ ? [X0,X1,X2] :
( leq(v200,X2)
& in_lopen(X2,v0,v200)
& less(v400,X1)
& in_lopen(X1,v0,v400)
& leq(v600,X0)
& in_lopen(X0,v0,v600) ),
inference(negated_conjecture,[status(cth)],[f39]) ).
fof(f41,plain,
? [X0,X1,X2] :
( leq(v200,X2)
& in_lopen(X2,v0,v200)
& less(v400,X1)
& in_lopen(X1,v0,v400)
& leq(v600,X0)
& in_lopen(X0,v0,v600) ),
inference(flattening,[],[f40]) ).
fof(f42,plain,
! [X0,X1,X2] :
( in_lopen(X0,X1,X2)
=> ( leq(X0,X2)
& less(X1,X0) ) ),
inference(unused_predicate_definition_removal,[],[f11]) ).
fof(f49,plain,
! [X0,X1] :
( ~ leq(X1,X0)
| ~ leq(X0,X1)
| X0 = X1 ),
inference(ennf_transformation,[],[f5]) ).
fof(f50,plain,
! [X0,X1] :
( ~ leq(X1,X0)
| ~ leq(X0,X1)
| X0 = X1 ),
inference(flattening,[],[f49]) ).
fof(f51,plain,
! [X0,X1] :
( ~ less(X0,X1)
| leq(X0,X1) ),
inference(ennf_transformation,[],[f6]) ).
fof(f58,plain,
! [X0,X1,X2] :
( ~ in_lopen(X0,X1,X2)
| ( leq(X0,X2)
& less(X1,X0) ) ),
inference(ennf_transformation,[],[f42]) ).
fof(f71,plain,
( leq(v200,sK2)
& in_lopen(sK2,v0,v200)
& less(v400,sK1)
& in_lopen(sK1,v0,v400)
& leq(v600,sK0)
& in_lopen(sK0,v0,v600) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f41]) ).
fof(f72,plain,
! [X0] : ~ less(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f78,plain,
! [X0,X1] :
( ~ leq(X1,X0)
| ~ leq(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f50]) ).
fof(f79,plain,
! [X0,X1] :
( ~ less(X0,X1)
| leq(X0,X1) ),
inference(cnf_transformation,[],[f51]) ).
fof(f83,plain,
! [X2,X0,X1] :
( ~ in_lopen(X0,X1,X2)
| leq(X0,X2) ),
inference(cnf_transformation,[],[f58]) ).
fof(f112,plain,
less(v400,sK1),
inference(cnf_transformation,[],[f71]) ).
fof(f113,plain,
in_lopen(sK1,v0,v400),
inference(cnf_transformation,[],[f71]) ).
tcf(c_49,plain,
! [X0: $i] : ~ less(X0,X0),
inference(cnf_transformation,[],[f72]) ).
tcf(c_55,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ leq(X1,X0)
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f78]) ).
tcf(c_56,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| ~ less(X0,X1) ),
inference(cnf_transformation,[],[f79]) ).
tcf(c_61,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,X2)
| ~ in_lopen(X0,X1,X2) ),
inference(cnf_transformation,[],[f83]) ).
tcf(c_89,negated_conjecture,
in_lopen(sK1,v0,v400),
inference(cnf_transformation,[],[f113]) ).
tcf(c_90,negated_conjecture,
less(v400,sK1),
inference(cnf_transformation,[],[f112]) ).
tcf(c_368,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,X2)
| ( X2 != v400 )
| ( X1 != v0 )
| ( X0 != sK1 ) ),
inference(resolution_lifted,[status(thm)],[c_61,c_89]) ).
tcf(c_369,plain,
leq(sK1,v400),
inference(unflattening,[status(thm)],[c_368]) ).
tcf(c_397,plain,
leq(sK1,v400),
inference(demodulation,[status(thm)],[c_369]) ).
tcf(c_401,negated_conjecture,
less(v400,sK1),
inference(demodulation,[status(thm)],[c_90]) ).
tcf(c_783,plain,
leq(v400,sK1),
inference(superposition,[status(thm)],[c_401,c_56]) ).
tcf(c_1312,plain,
( ( v400 = sK1 )
| ~ leq(sK1,v400) ),
inference(superposition,[status(thm)],[c_783,c_55]) ).
tcf(c_1322,plain,
v400 = sK1,
inference(forward_subsumption_resolution,[status(thm)],[c_1312,c_397]) ).
tcf(c_1338,plain,
less(v400,v400),
inference(demodulation,[status(thm)],[c_401,c_1322]) ).
tcf(c_1339,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_1338,c_49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT084+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.38 % Computer : n015.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Thu Sep 24 01:24:41 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.41 Running first-order theorem proving
% 0.12/0.41 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
% 0.12/0.42
% 0.12/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.42
% 0.12/0.42 % Detected problem language: tptp
% 0.12/0.44 % Proving...
% 0.43/1.29 % SZS status Started for theBenchmark.p
% 0.43/1.29 % SZS status Theorem for theBenchmark.p
% 0.43/1.29
% 0.43/1.29 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.43/1.29
% 0.43/1.29 % ------ iProver source info
% 0.43/1.29
% 0.43/1.29 % git: date: 2026-07-19 20:42:38 +0200
% 0.43/1.29 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.43/1.29 % git: non_committed_changes: false
% 0.43/1.29
% 0.43/1.29 % ------ Parsing...
% 0.43/1.29 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 0.43/1.29
% 0.43/1.29 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe_e %
% 0.43/1.29
% 0.43/1.29 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 0.43/1.29
% 0.43/1.29 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 0.43/1.29 % ------ Proving...
% 0.43/1.29 % ------ Problem Properties
% 0.43/1.29
% 0.43/1.29 %
% 0.43/1.29 % clauses 44
% 0.43/1.29 % conjectures 3
% 0.43/1.29 % EPR 38
% 0.43/1.29 % Horn 38
% 0.43/1.29 % unary 30
% 0.43/1.29 % binary 3
% 0.43/1.29 % lits 72
% 0.43/1.29 % lits eq 25
% 0.43/1.29 % fd_pure 0
% 0.43/1.29 % fd_pseudo 0
% 0.43/1.29 % fd_cond 3
% 0.43/1.29 % fd_pseudo_cond 3
% 0.43/1.29 % AC symbols 0
% 0.43/1.29
% 0.43/1.29 % ------ Schedule dynamic 5 is on
% 0.43/1.29
% 0.43/1.29 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.43/1.29
% 0.43/1.29
% 0.43/1.29 % ------
% 0.43/1.29 % Current options:
% 0.43/1.29 % ------
% 0.43/1.29
% 0.43/1.29
% 0.43/1.29 %
% 0.43/1.29
% 0.43/1.29 % ------ Proving...
% 0.43/1.29 %
% 0.43/1.29
% 0.43/1.29 % SZS status Theorem for theBenchmark.p
% 0.43/1.29
% 0.43/1.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.43/1.29
% 0.43/1.29
%------------------------------------------------------------------------------