%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : MGT077+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 : 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 02:13:02 PM UTC 2026
% Result : Theorem 2.58s 1.17s
% Output : CNFRefutation 2.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 8
% Syntax : Number of formulae : 50 ( 19 unt; 0 def)
% Number of atoms : 112 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 127 ( 65 ~; 50 |; 9 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 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 ( 4 usr; 3 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 55 ( 0 sgn 51 !; 4 ?; 20 :)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1,X2] :
( ( less(X1,X2)
& less(X0,X1) )
=> less(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT002+0.ax',transitive) ).
fof(f14,axiom,
! [X0,X1,X2] :
( in_open(X0,X1,X2)
<=> ( less(X0,X2)
& less(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT002+2.ax',in_open) ).
fof(f34,axiom,
less(v0,v100),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v0_v100) ).
fof(f35,axiom,
less(v0,v200),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v0_v200) ).
fof(f38,axiom,
less(v100,v200),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v100_v200) ).
fof(f41,axiom,
less(v200,v500),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v200_v500) ).
fof(f43,axiom,
less(v500,v800),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v500_v800) ).
fof(f45,conjecture,
? [X0,X1] :
( in_open(X1,v0,v500)
& less(v100,X1)
& in_open(X0,v0,v800)
& less(v200,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',odrl327) ).
fof(f46,negated_conjecture,
~ ? [X0,X1] :
( in_open(X1,v0,v500)
& less(v100,X1)
& in_open(X0,v0,v800)
& less(v200,X0) ),
inference(negated_conjecture,[status(cth)],[f45]) ).
fof(f47,plain,
! [X0,X1,X2] :
( ( less(X0,X2)
& less(X1,X0) )
=> in_open(X0,X1,X2) ),
inference(unused_predicate_definition_removal,[],[f14]) ).
fof(f53,plain,
! [X0,X1,X2] :
( ~ less(X1,X2)
| ~ less(X0,X1)
| less(X0,X2) ),
inference(ennf_transformation,[],[f2]) ).
fof(f54,plain,
! [X0,X1,X2] :
( ~ less(X1,X2)
| ~ less(X0,X1)
| less(X0,X2) ),
inference(flattening,[],[f53]) ).
fof(f65,plain,
! [X0,X1,X2] :
( ~ less(X0,X2)
| ~ less(X1,X0)
| in_open(X0,X1,X2) ),
inference(ennf_transformation,[],[f47]) ).
fof(f66,plain,
! [X0,X1,X2] :
( ~ less(X0,X2)
| ~ less(X1,X0)
| in_open(X0,X1,X2) ),
inference(flattening,[],[f65]) ).
fof(f77,plain,
! [X0,X1] :
( ~ in_open(X1,v0,v500)
| ~ less(v100,X1)
| ~ in_open(X0,v0,v800)
| ~ less(v200,X0) ),
inference(ennf_transformation,[],[f46]) ).
fof(f82,plain,
! [X2,X0,X1] :
( ~ less(X1,X2)
| ~ less(X0,X1)
| less(X0,X2) ),
inference(cnf_transformation,[],[f54]) ).
fof(f94,plain,
! [X2,X0,X1] :
( ~ less(X0,X2)
| ~ less(X1,X0)
| in_open(X0,X1,X2) ),
inference(cnf_transformation,[],[f66]) ).
fof(f108,plain,
less(v0,v100),
inference(cnf_transformation,[],[f34]) ).
fof(f109,plain,
less(v0,v200),
inference(cnf_transformation,[],[f35]) ).
fof(f112,plain,
less(v100,v200),
inference(cnf_transformation,[],[f38]) ).
fof(f115,plain,
less(v200,v500),
inference(cnf_transformation,[],[f41]) ).
fof(f117,plain,
less(v500,v800),
inference(cnf_transformation,[],[f43]) ).
fof(f128,plain,
! [X0,X1] :
( ~ in_open(X1,v0,v500)
| ~ less(v100,X1)
| ~ in_open(X0,v0,v800)
| ~ less(v200,X0) ),
inference(cnf_transformation,[],[f77]) ).
tcf(c_50,plain,
! [X0: $i,X1: $i,X2: $i] :
( less(X0,X2)
| ~ less(X1,X2)
| ~ less(X0,X1) ),
inference(cnf_transformation,[],[f82]) ).
tcf(c_62,plain,
! [X0: $i,X1: $i,X2: $i] :
( in_open(X0,X2,X1)
| ~ less(X2,X0)
| ~ less(X0,X1) ),
inference(cnf_transformation,[],[f94]) ).
tcf(c_76,plain,
less(v0,v100),
inference(cnf_transformation,[],[f108]) ).
tcf(c_77,plain,
less(v0,v200),
inference(cnf_transformation,[],[f109]) ).
tcf(c_80,plain,
less(v100,v200),
inference(cnf_transformation,[],[f112]) ).
tcf(c_83,plain,
less(v200,v500),
inference(cnf_transformation,[],[f115]) ).
tcf(c_85,plain,
less(v500,v800),
inference(cnf_transformation,[],[f117]) ).
tcf(c_96,negated_conjecture,
! [X0: $i,X1: $i] :
( ~ less(v200,X0)
| ~ less(v100,X1)
| ~ in_open(X1,v0,v500)
| ~ in_open(X0,v0,v800) ),
inference(cnf_transformation,[],[f128]) ).
tcf(c_668,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_10
| ~ less(v100,X0)
| ~ in_open(X0,v0,v500) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_96]) ).
tcf(c_669,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_11
| ~ less(v200,X0)
| ~ in_open(X0,v0,v800) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_96]) ).
tcf(c_670,negated_conjecture,
( iPr_def_11
| iPr_def_10 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_96]) ).
tcf(c_671,negated_conjecture,
( iPr_def_11
| iPr_def_10 ),
inference(demodulation,[status(thm)],[c_670]) ).
tcf(c_672,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_11
| ~ less(v200,X0)
| ~ in_open(X0,v0,v800) ),
inference(demodulation,[status(thm)],[c_669]) ).
tcf(c_673,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_10
| ~ less(v100,X0)
| ~ in_open(X0,v0,v500) ),
inference(demodulation,[status(thm)],[c_668]) ).
tcf(c_1138,plain,
! [X0: $i] :
( less(v0,X0)
| ~ less(v100,X0) ),
inference(superposition,[status(thm)],[c_76,c_50]) ).
tcf(c_1139,plain,
! [X0: $i] :
( less(v0,X0)
| ~ less(v200,X0) ),
inference(superposition,[status(thm)],[c_77,c_50]) ).
tcf(c_1734,plain,
! [X0: $i] :
( ~ iPr_def_11
| ~ less(v200,X0)
| ~ less(v0,X0)
| ~ less(X0,v800) ),
inference(superposition,[status(thm)],[c_62,c_672]) ).
tcf(c_1735,plain,
! [X0: $i] :
( ~ iPr_def_10
| ~ less(v100,X0)
| ~ less(v0,X0)
| ~ less(X0,v500) ),
inference(superposition,[status(thm)],[c_62,c_673]) ).
tcf(c_1757,plain,
! [X0: $i] :
( ~ iPr_def_11
| ~ less(v200,X0)
| ~ less(X0,v800) ),
inference(global_subsumption_just,[status(thm)],[c_1734,c_1139,c_1734]) ).
tcf(c_1769,plain,
( ~ iPr_def_11
| ~ less(v500,v800) ),
inference(superposition,[status(thm)],[c_83,c_1757]) ).
tcf(c_1771,plain,
~ iPr_def_11,
inference(forward_subsumption_resolution,[status(thm)],[c_1769,c_85]) ).
tcf(c_1772,plain,
iPr_def_10,
inference(backward_subsumption_resolution,[status(thm)],[c_671,c_1771]) ).
tcf(c_1773,plain,
! [X0: $i] :
( ~ less(v100,X0)
| ~ in_open(X0,v0,v500) ),
inference(backward_subsumption_resolution,[status(thm)],[c_673,c_1772]) ).
tcf(c_1781,plain,
! [X0: $i] :
( ~ less(v100,X0)
| ~ less(v0,X0)
| ~ less(X0,v500) ),
inference(superposition,[status(thm)],[c_62,c_1773]) ).
tcf(c_1786,plain,
! [X0: $i] :
( ~ less(v100,X0)
| ~ less(X0,v500) ),
inference(global_subsumption_just,[status(thm)],[c_1781,c_1138,c_1735,c_1772]) ).
tcf(c_1796,plain,
~ less(v200,v500),
inference(superposition,[status(thm)],[c_80,c_1786]) ).
tcf(c_1799,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_1796,c_83]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT077+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n011.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 01:20:27 UTC 2026
% 0.02/0.36 % CPUTime :
% 0.02/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.02/0.40 Running first-order theorem proving
% 0.02/0.40 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
% 0.02/0.41
% 0.02/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.02/0.41
% 0.02/0.41 % Detected problem language: tptp
% 0.02/0.42 % Proving...
% 2.58/1.17 % SZS status Started for theBenchmark.p
% 2.58/1.17 % SZS status Theorem for theBenchmark.p
% 2.58/1.17
% 2.58/1.17 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.58/1.17
% 2.58/1.17 % ------ iProver source info
% 2.58/1.17
% 2.58/1.17 % git: date: 2026-07-19 20:42:38 +0200
% 2.58/1.17 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.58/1.17 % git: non_committed_changes: false
% 2.58/1.17
% 2.58/1.17 % ------ Parsing...
% 2.58/1.17 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.58/1.17
% 2.58/1.17 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 2.58/1.17
% 2.58/1.17 % ------ Preprocessing... gs_s sp: 2 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.58/1.17
% 2.58/1.17 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.58/1.17 % ------ Proving...
% 2.58/1.17 % ------ Problem Properties
% 2.58/1.17
% 2.58/1.17 %
% 2.58/1.17 % clauses 49
% 2.58/1.17 % conjectures 3
% 2.58/1.17 % EPR 41
% 2.58/1.17 % Horn 42
% 2.58/1.17 % unary 29
% 2.58/1.17 % binary 6
% 2.58/1.17 % lits 86
% 2.58/1.17 % lits eq 29
% 2.58/1.17 % fd_pure 0
% 2.58/1.17 % fd_pseudo 0
% 2.58/1.17 % fd_cond 3
% 2.58/1.17 % fd_pseudo_cond 3
% 2.58/1.17 % AC symbols 0
% 2.58/1.17
% 2.58/1.17 % ------ Schedule dynamic 5 is on
% 2.58/1.17
% 2.58/1.17 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.58/1.17
% 2.58/1.17
% 2.58/1.17 % ------
% 2.58/1.17 % Current options:
% 2.58/1.17 % ------
% 2.58/1.17
% 2.58/1.17
% 2.58/1.17 %
% 2.58/1.17
% 2.58/1.17 % ------ Proving...
% 2.58/1.17 %
% 2.58/1.17
% 2.58/1.17 % SZS status Theorem for theBenchmark.p
% 2.58/1.17
% 2.58/1.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.58/1.17
% 2.58/1.17
%------------------------------------------------------------------------------