%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : MGT011-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n001.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 02:12:19 PM UTC 2026
% Result : Unsatisfiable 1.90s 6.28s
% Output : CNFRefutation 1.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 13
% Syntax : Number of formulae : 61 ( 24 unt; 0 def)
% Number of atoms : 183 ( 16 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 251 ( 129 ~; 122 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 104 ( 0 sgn 104 !; 0 ?; 79 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( inertia(X0,sk1(X1,X0),X1)
| ~ organization(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp5_20) ).
fof(f3,axiom,
! [X0,X1] :
( ~ greater(X1,X0)
| ~ greater(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp6_2_22) ).
fof(f4,axiom,
! [X0,X1] :
( class(X0,sk2(X1,X0),X1)
| ~ organization(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp9_23) ).
fof(f5,axiom,
! [X2,X3,X0,X1,X4] :
( X3 = X4
| ~ class(X0,X4,X2)
| ~ class(X0,X3,X1)
| ~ reorganization_free(X0,X1,X2)
| ~ organization(X0,X2)
| ~ organization(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp10_24) ).
fof(f6,axiom,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( greater(X8,X7)
| ~ greater(X6,X5)
| ~ inertia(X2,X8,X3)
| ~ inertia(X0,X7,X1)
| ~ size(X2,X6,X3)
| ~ size(X0,X5,X1)
| ~ class(X2,X4,X3)
| ~ class(X0,X4,X1)
| ~ organization(X2,X3)
| ~ organization(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a5_FOL_25) ).
fof(f7,axiom,
! [X2,X3,X0,X1,X4] :
( greater(X4,X3)
| ~ greater(X2,X1)
| ~ inertia(X0,X4,X2)
| ~ inertia(X0,X3,X1)
| ~ reorganization_free(X0,X1,X2)
| ~ organization(X0,X2)
| ~ organization(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_FOL_26) ).
fof(f8,negated_conjecture,
organization(sk3,sk6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t11_FOL_27) ).
fof(f9,negated_conjecture,
organization(sk3,sk7),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t11_FOL_28) ).
fof(f10,negated_conjecture,
reorganization_free(sk3,sk6,sk7),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t11_FOL_29) ).
fof(f11,negated_conjecture,
size(sk3,sk4,sk6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t11_FOL_30) ).
fof(f12,negated_conjecture,
size(sk3,sk5,sk7),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t11_FOL_31) ).
fof(f13,negated_conjecture,
greater(sk7,sk6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t11_FOL_32) ).
fof(f14,negated_conjecture,
greater(sk4,sk5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t11_FOL_33) ).
tcf(c_63,plain,
! [X0: $i,X1: $i] :
( inertia(X0,sk1(X1,X0),X1)
| ~ organization(X0,X1) ),
inference(cnf_transformation,[],[f1]) ).
tcf(c_65,plain,
! [X0: $i,X1: $i] :
( ~ greater(X1,X0)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_66,plain,
! [X0: $i,X1: $i] :
( class(X0,sk2(X1,X0),X1)
| ~ organization(X0,X1) ),
inference(cnf_transformation,[],[f4]) ).
tcf(c_67,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X1 = X3 )
| ~ organization(X0,X4)
| ~ organization(X0,X2)
| ~ reorganization_free(X0,X2,X4)
| ~ class(X0,X3,X4)
| ~ class(X0,X1,X2) ),
inference(cnf_transformation,[],[f5]) ).
tcf(c_68,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( greater(X4,X1)
| ~ greater(X8,X7)
| ~ organization(X3,X5)
| ~ organization(X0,X2)
| ~ size(X3,X8,X5)
| ~ size(X0,X7,X2)
| ~ class(X3,X6,X5)
| ~ class(X0,X6,X2)
| ~ inertia(X3,X4,X5)
| ~ inertia(X0,X1,X2) ),
inference(cnf_transformation,[],[f6]) ).
tcf(c_69,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( greater(X3,X1)
| ~ greater(X4,X2)
| ~ organization(X0,X4)
| ~ organization(X0,X2)
| ~ reorganization_free(X0,X2,X4)
| ~ inertia(X0,X3,X4)
| ~ inertia(X0,X1,X2) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_70,negated_conjecture,
organization(sk3,sk6),
inference(cnf_transformation,[],[f8]) ).
tcf(c_71,negated_conjecture,
organization(sk3,sk7),
inference(cnf_transformation,[],[f9]) ).
tcf(c_72,negated_conjecture,
reorganization_free(sk3,sk6,sk7),
inference(cnf_transformation,[],[f10]) ).
tcf(c_73,negated_conjecture,
size(sk3,sk4,sk6),
inference(cnf_transformation,[],[f11]) ).
tcf(c_74,negated_conjecture,
size(sk3,sk5,sk7),
inference(cnf_transformation,[],[f12]) ).
tcf(c_75,negated_conjecture,
greater(sk7,sk6),
inference(cnf_transformation,[],[f13]) ).
tcf(c_76,negated_conjecture,
greater(sk4,sk5),
inference(cnf_transformation,[],[f14]) ).
tcf(c_220,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( greater(X4,X3)
| ~ greater(X2,X1)
| ~ organization(X0,X2)
| ~ organization(X0,X1)
| ~ inertia(X0,X4,X2)
| ~ inertia(X0,X3,X1)
| ( X2 != sk7 )
| ( X1 != sk6 )
| ( X0 != sk3 ) ),
inference(resolution_lifted,[status(thm)],[c_69,c_72]) ).
tcf(c_221,plain,
! [X0: $i,X1: $i] :
( greater(X1,X0)
| ~ greater(sk7,sk6)
| ~ organization(sk3,sk7)
| ~ organization(sk3,sk6)
| ~ inertia(sk3,X1,sk7)
| ~ inertia(sk3,X0,sk6) ),
inference(unflattening,[status(thm)],[c_220]) ).
tcf(c_223,plain,
! [X0: $i,X1: $i] :
( greater(X1,X0)
| ~ inertia(sk3,X0,sk6)
| ~ inertia(sk3,X1,sk7) ),
inference(global_subsumption_just,[status(thm)],[c_221,c_75,c_71,c_70,c_221]) ).
tcf(c_224,plain,
! [X0: $i,X1: $i] :
( greater(X1,X0)
| ~ inertia(sk3,X1,sk7)
| ~ inertia(sk3,X0,sk6) ),
inference(renaming,[status(thm)],[c_223]) ).
tcf(c_235,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X3 = X4 )
| ~ organization(X0,X2)
| ~ organization(X0,X1)
| ~ class(X0,X4,X2)
| ~ class(X0,X3,X1)
| ( X2 != sk7 )
| ( X1 != sk6 )
| ( X0 != sk3 ) ),
inference(resolution_lifted,[status(thm)],[c_67,c_72]) ).
tcf(c_236,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ organization(sk3,sk7)
| ~ organization(sk3,sk6)
| ~ class(sk3,X1,sk7)
| ~ class(sk3,X0,sk6) ),
inference(unflattening,[status(thm)],[c_235]) ).
tcf(c_238,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ class(sk3,X1,sk7)
| ~ class(sk3,X0,sk6) ),
inference(global_subsumption_just,[status(thm)],[c_236,c_71,c_70,c_236]) ).
tcf(c_364,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ class(sk3,X1,sk7)
| ~ class(sk3,X0,sk6) ),
inference(demodulation,[status(thm)],[c_238]) ).
tcf(c_365,plain,
! [X0: $i,X1: $i] :
( greater(X1,X0)
| ~ inertia(sk3,X1,sk7)
| ~ inertia(sk3,X0,sk6) ),
inference(demodulation,[status(thm)],[c_224]) ).
tcf(c_366,negated_conjecture,
greater(sk4,sk5),
inference(demodulation,[status(thm)],[c_76]) ).
tcf(c_368,negated_conjecture,
size(sk3,sk5,sk7),
inference(demodulation,[status(thm)],[c_74]) ).
tcf(c_369,negated_conjecture,
size(sk3,sk4,sk6),
inference(demodulation,[status(thm)],[c_73]) ).
tcf(c_370,negated_conjecture,
organization(sk3,sk7),
inference(demodulation,[status(thm)],[c_71]) ).
tcf(c_371,negated_conjecture,
organization(sk3,sk6),
inference(demodulation,[status(thm)],[c_70]) ).
tcf(c_621,plain,
! [X0: $i] :
( greater(X0,sk1(sk6,sk3))
| ~ organization(sk3,sk6)
| ~ inertia(sk3,X0,sk7) ),
inference(superposition,[status(thm)],[c_63,c_365]) ).
tcf(c_622,plain,
! [X0: $i] :
( greater(X0,sk1(sk6,sk3))
| ~ inertia(sk3,X0,sk7) ),
inference(forward_subsumption_resolution,[status(thm)],[c_621,c_371]) ).
tcf(c_636,plain,
! [X0: $i] :
( ( sk2(sk6,sk3) = X0 )
| ~ organization(sk3,sk6)
| ~ class(sk3,X0,sk7) ),
inference(superposition,[status(thm)],[c_66,c_364]) ).
tcf(c_637,plain,
! [X0: $i] :
( ( sk2(sk6,sk3) = X0 )
| ~ class(sk3,X0,sk7) ),
inference(forward_subsumption_resolution,[status(thm)],[c_636,c_371]) ).
tcf(c_661,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( greater(X1,sk1(X5,X3))
| ~ greater(X7,X6)
| ~ organization(X3,X5)
| ~ organization(X0,X2)
| ~ size(X3,X6,X5)
| ~ size(X0,X7,X2)
| ~ class(X3,X4,X5)
| ~ class(X0,X4,X2)
| ~ inertia(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_63,c_68]) ).
tcf(c_675,plain,
! [X0: $i] :
( ~ inertia(sk3,X0,sk7)
| ~ greater(sk1(sk6,sk3),X0) ),
inference(superposition,[status(thm)],[c_622,c_65]) ).
tcf(c_684,plain,
( ( sk2(sk6,sk3) = sk2(sk7,sk3) )
| ~ organization(sk3,sk7) ),
inference(superposition,[status(thm)],[c_66,c_637]) ).
tcf(c_685,plain,
sk2(sk6,sk3) = sk2(sk7,sk3),
inference(forward_subsumption_resolution,[status(thm)],[c_684,c_370]) ).
tcf(c_686,plain,
( class(sk3,sk2(sk6,sk3),sk7)
| ~ organization(sk3,sk7) ),
inference(superposition,[status(thm)],[c_685,c_66]) ).
tcf(c_687,plain,
class(sk3,sk2(sk6,sk3),sk7),
inference(forward_subsumption_resolution,[status(thm)],[c_686,c_370]) ).
tcf(c_712,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( greater(X4,sk1(X3,X0))
| ~ greater(X5,X6)
| ~ organization(X2,X1)
| ~ organization(X0,X3)
| ~ size(X2,X5,X1)
| ~ size(X0,X6,X3)
| ~ inertia(X2,X4,X1)
| ~ class(X0,sk2(X1,X2),X3) ),
inference(superposition,[status(thm)],[c_66,c_661]) ).
tcf(c_800,plain,
! [X0: $i,X1: $i,X2: $i] :
( greater(X0,sk1(sk7,sk3))
| ~ organization(sk3,sk7)
| ~ organization(sk3,sk6)
| ~ greater(X2,X1)
| ~ size(sk3,X2,sk6)
| ~ size(sk3,X1,sk7)
| ~ inertia(sk3,X0,sk6) ),
inference(superposition,[status(thm)],[c_687,c_712]) ).
tcf(c_808,plain,
! [X0: $i,X1: $i,X2: $i] :
( greater(X0,sk1(sk7,sk3))
| ~ greater(X2,X1)
| ~ size(sk3,X2,sk6)
| ~ size(sk3,X1,sk7)
| ~ inertia(sk3,X0,sk6) ),
inference(forward_subsumption_resolution,[status(thm)],[c_800,c_370,c_371]) ).
tcf(c_870,plain,
! [X0: $i,X1: $i] :
( greater(X0,sk1(sk7,sk3))
| ~ greater(X1,sk5)
| ~ size(sk3,X1,sk6)
| ~ inertia(sk3,X0,sk6) ),
inference(superposition,[status(thm)],[c_368,c_808]) ).
tcf(c_884,plain,
! [X0: $i] :
( greater(X0,sk1(sk7,sk3))
| ~ greater(sk4,sk5)
| ~ inertia(sk3,X0,sk6) ),
inference(superposition,[status(thm)],[c_369,c_870]) ).
tcf(c_885,plain,
! [X0: $i] :
( greater(X0,sk1(sk7,sk3))
| ~ inertia(sk3,X0,sk6) ),
inference(forward_subsumption_resolution,[status(thm)],[c_884,c_366]) ).
tcf(c_897,plain,
( ~ inertia(sk3,sk1(sk7,sk3),sk7)
| ~ inertia(sk3,sk1(sk6,sk3),sk6) ),
inference(superposition,[status(thm)],[c_885,c_675]) ).
tcf(c_915,plain,
( ~ organization(sk3,sk6)
| ~ inertia(sk3,sk1(sk7,sk3),sk7) ),
inference(superposition,[status(thm)],[c_63,c_897]) ).
tcf(c_916,plain,
~ inertia(sk3,sk1(sk7,sk3),sk7),
inference(forward_subsumption_resolution,[status(thm)],[c_915,c_371]) ).
tcf(c_917,plain,
~ organization(sk3,sk7),
inference(superposition,[status(thm)],[c_63,c_916]) ).
tcf(c_918,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_917,c_370]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT011-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/5.37 % Computer : n001.cluster.edu
% 0.10/5.37 % Model : x86_64 x86_64
% 0.10/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.37 % Memory : 8046.5625MB
% 0.10/5.37 % OS : Linux 6.8.0-71-generic
% 0.10/5.37 % CPULimit : 300
% 0.10/5.37 % WCLimit : 300
% 0.10/5.37 % DateTime : Thu Sep 24 01:04:12 UTC 2026
% 0.10/5.37 % CPUTime :
% 0.10/5.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.16/5.40 Running first-order theorem proving
% 0.16/5.40 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
% 0.16/5.41
% 0.16/5.41 % ======== iProver multi-core TPTP/SMT =========
% 0.16/5.41
% 0.16/5.41 % Detected problem language: tptp
% 0.16/5.43 % Proving...
% 1.90/6.28 % SZS status Started for theBenchmark.p
% 1.90/6.28 % SZS status Unsatisfiable for theBenchmark.p
% 1.90/6.28
% 1.90/6.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.90/6.28
% 1.90/6.28 % ------ iProver source info
% 1.90/6.28
% 1.90/6.28 % git: date: 2026-07-19 20:42:38 +0200
% 1.90/6.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.90/6.28 % git: non_committed_changes: false
% 1.90/6.28
% 1.90/6.28 % ------ Parsing...% successful
% 1.90/6.28
% 1.90/6.28
% 1.90/6.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.90/6.28
% 1.90/6.28 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e %
% 1.90/6.28
% 1.90/6.28 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.90/6.28
% 1.90/6.28 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.90/6.28 % ------ Proving...
% 1.90/6.28 % ------ Problem Properties
% 1.90/6.28
% 1.90/6.28 %
% 1.90/6.28 % clauses 13
% 1.90/6.28 % conjectures 6
% 1.90/6.28 % EPR 11
% 1.90/6.28 % Horn 13
% 1.90/6.28 % unary 7
% 1.90/6.28 % binary 3
% 1.90/6.28 % lits 29
% 1.90/6.28 % lits eq 1
% 1.90/6.28 % fd_pure 0
% 1.90/6.28 % fd_pseudo 0
% 1.90/6.28 % fd_cond 0
% 1.90/6.28 % fd_pseudo_cond 1
% 1.90/6.28 % AC symbols 0
% 1.90/6.28
% 1.90/6.28 % ------ Schedule dynamic 5 is on
% 1.90/6.28
% 1.90/6.28 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.90/6.28
% 1.90/6.28
% 1.90/6.28 % ------
% 1.90/6.28 % Current options:
% 1.90/6.28 % ------
% 1.90/6.28
% 1.90/6.28
% 1.90/6.28 %
% 1.90/6.28
% 1.90/6.28 % ------ Proving...
% 1.90/6.28 %
% 1.90/6.28
% 1.90/6.28 % SZS status Unsatisfiable for theBenchmark.p
% 1.90/6.28
% 1.90/6.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.90/6.28
% 1.90/6.28
%------------------------------------------------------------------------------