%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV878-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n012.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 03:24:23 PM UTC 2026
% Result : Unsatisfiable 123.26s 36.72s
% Output : CNFRefutation 123.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 13
% Syntax : Number of formulae : 41 ( 17 unt; 0 def)
% Number of atoms : 75 ( 8 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 66 ( 32 ~; 34 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 8 con; 0-4 aty)
% Number of variables : 66 ( 0 sgn 66 !; 0 ?; 35 :)
% Comments :
%------------------------------------------------------------------------------
fof(f658,axiom,
! [X2,X0,X1] : c_in(X0,c_Set_Oinsert(X0,X1,X2),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insertCI_1) ).
fof(f660,axiom,
! [X2,X0,X1] :
( ~ c_in(X0,X1,X2)
| c_Set_Oinsert(X0,X1,X2) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__absorb_0) ).
fof(f689,axiom,
! [X2,X3,X0,X1,X4] :
( ~ c_in(X1,X2,X3)
| c_in(hAPP(X0,X1),c_Set_Oimage(X0,X2,X3,X4),X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_imageI_0) ).
fof(f844,axiom,
! [X2,X3,X0,X1] :
( ~ c_in(X0,X3,X2)
| ~ c_lessequals(X1,X3,tc_fun(X2,tc_bool))
| c_lessequals(c_Set_Oinsert(X0,X1,X2),X3,tc_fun(X2,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__subset_2) ).
fof(f897,axiom,
! [X0,X1] :
( ~ v_wt(X1)
| c_in(v_sko__local__Xassms__3__1(X0,v_P,v_U,v_mgt__call),v_U,tc_Com_Opname)
| hBOOL(hAPP(hAPP(v_P,X0),c_Set_Oinsert(v_mgt(X1),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_assms_I3_J_0) ).
fof(f898,axiom,
! [X0,X1] :
( ~ v_wt(X1)
| ~ hBOOL(hAPP(hAPP(v_P,X0),c_Set_Oinsert(hAPP(v_mgt__call,v_sko__local__Xassms__3__1(X0,v_P,v_U,v_mgt__call)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a)))
| hBOOL(hAPP(hAPP(v_P,X0),c_Set_Oinsert(v_mgt(X1),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_assms_I3_J_1) ).
fof(f902,axiom,
! [X2,X3,X0,X1,X4] :
( ~ c_lessequals(X1,X4,tc_fun(X2,tc_bool))
| c_lessequals(c_Set_Oimage(X0,X1,X2,X3),c_Set_Oimage(X0,X4,X2,X3),tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_image__mono_0) ).
fof(f947,axiom,
! [X0,X1] : c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X1,tc_fun(X0,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_empty__subsetI_0) ).
fof(f960,axiom,
! [X0,X1] :
( ~ c_lessequals(X1,X0,tc_fun(t_a,tc_bool))
| hBOOL(hAPP(hAPP(v_P,X0),X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_assms_I1_J_0) ).
fof(f961,axiom,
! [X2,X0,X1] : c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)) = c_Set_Oimage(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_empty__is__image_1) ).
fof(f967,negated_conjecture,
v_wt(v_c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f968,negated_conjecture,
v_G = c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f969,negated_conjecture,
~ hBOOL(hAPP(hAPP(v_P,v_G),c_Set_Oinsert(v_mgt(v_c),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).
tcf(c_1383,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(X0,c_Set_Oinsert(X0,X1,X2),X2),
inference(cnf_transformation,[],[f658]) ).
tcf(c_1385,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Set_Oinsert(X0,X1,X2) = X1 )
| ~ c_in(X0,X1,X2) ),
inference(cnf_transformation,[],[f660]) ).
tcf(c_1414,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_in(hAPP(X3,X0),c_Set_Oimage(X3,X1,X2,X4),X4)
| ~ c_in(X0,X1,X2) ),
inference(cnf_transformation,[],[f689]) ).
tcf(c_1526,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_lessequals(c_Set_Oinsert(X3,X0,X2),X1,tc_fun(X2,tc_bool))
| ~ c_in(X3,X1,X2)
| ~ c_lessequals(X0,X1,tc_fun(X2,tc_bool)) ),
inference(cnf_transformation,[],[f844]) ).
tcf(c_1565,plain,
! [X0: $i,X1: $i] :
( c_in(v_sko__local__Xassms__3__1(X1,v_P,v_U,v_mgt__call),v_U,tc_Com_Opname)
| hBOOL(hAPP(hAPP(v_P,X1),c_Set_Oinsert(v_mgt(X0),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a)))
| ~ v_wt(X0) ),
inference(cnf_transformation,[],[f897]) ).
tcf(c_1566,plain,
! [X0: $i,X1: $i] :
( hBOOL(hAPP(hAPP(v_P,X0),c_Set_Oinsert(v_mgt(X1),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a)))
| ~ v_wt(X1)
| ~ hBOOL(hAPP(hAPP(v_P,X0),c_Set_Oinsert(hAPP(v_mgt__call,v_sko__local__Xassms__3__1(X0,v_P,v_U,v_mgt__call)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a))) ),
inference(cnf_transformation,[],[f898]) ).
tcf(c_1570,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_lessequals(c_Set_Oimage(X3,X0,X2,X4),c_Set_Oimage(X3,X1,X2,X4),tc_fun(X4,tc_bool))
| ~ c_lessequals(X0,X1,tc_fun(X2,tc_bool)) ),
inference(cnf_transformation,[],[f902]) ).
tcf(c_1608,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X1,tc_fun(X0,tc_bool)),
inference(cnf_transformation,[],[f947]) ).
tcf(c_1618,plain,
! [X0: $i,X1: $i] :
( hBOOL(hAPP(hAPP(v_P,X1),X0))
| ~ c_lessequals(X0,X1,tc_fun(t_a,tc_bool)) ),
inference(cnf_transformation,[],[f960]) ).
tcf(c_1619,plain,
! [X0: $i,X1: $i,X2: $i] : c_Set_Oimage(X0,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1,X2) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),
inference(cnf_transformation,[],[f961]) ).
tcf(c_1625,negated_conjecture,
v_wt(v_c),
inference(cnf_transformation,[],[f967]) ).
tcf(c_1626,negated_conjecture,
c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a) = v_G,
inference(cnf_transformation,[],[f968]) ).
tcf(c_1627,negated_conjecture,
~ hBOOL(hAPP(hAPP(v_P,v_G),c_Set_Oinsert(v_mgt(v_c),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a))),
inference(cnf_transformation,[],[f969]) ).
tcf(c_36889,plain,
! [X0: $i] :
( c_in(hAPP(v_mgt__call,X0),v_G,t_a)
| ~ c_in(X0,v_U,tc_Com_Opname) ),
inference(superposition,[status(thm)],[c_1626,c_1414]) ).
tcf(c_36912,plain,
! [X0: $i] :
( ( c_Set_Oinsert(hAPP(v_mgt__call,X0),v_G,t_a) = v_G )
| ~ c_in(X0,v_U,tc_Com_Opname) ),
inference(superposition,[status(thm)],[c_36889,c_1385]) ).
tcf(c_36941,plain,
! [X0: $i] :
( c_in(v_sko__local__Xassms__3__1(X0,v_P,v_U,v_mgt__call),v_U,tc_Com_Opname)
| hBOOL(hAPP(hAPP(v_P,X0),c_Set_Oinsert(v_mgt(v_c),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a)))
| ~ v_wt(v_c) ),
inference(instantiation,[status(thm)],[c_1565]) ).
tcf(c_38969,plain,
! [X0: $i] :
( c_lessequals(c_Set_Oimage(v_mgt__call,X0,tc_Com_Opname,t_a),v_G,tc_fun(t_a,tc_bool))
| ~ c_lessequals(X0,v_U,tc_fun(tc_Com_Opname,tc_bool)) ),
inference(superposition,[status(thm)],[c_1626,c_1570]) ).
tcf(c_39269,plain,
( c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),v_G,tc_fun(t_a,tc_bool))
| ~ c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(tc_Com_Opname,tc_bool)),v_U,tc_fun(tc_Com_Opname,tc_bool)) ),
inference(superposition,[status(thm)],[c_1619,c_38969]) ).
tcf(c_41152,plain,
c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),v_G,tc_fun(t_a,tc_bool)),
inference(superposition,[status(thm)],[c_1608,c_39269]) ).
tcf(c_41165,plain,
( c_in(v_sko__local__Xassms__3__1(v_G,v_P,v_U,v_mgt__call),v_U,tc_Com_Opname)
| hBOOL(hAPP(hAPP(v_P,v_G),c_Set_Oinsert(v_mgt(v_c),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a)))
| ~ v_wt(v_c) ),
inference(instantiation,[status(thm)],[c_36941]) ).
tcf(c_41601,plain,
( c_in(v_sko__local__Xassms__3__1(v_G,v_P,v_U,v_mgt__call),v_U,tc_Com_Opname)
| ~ v_wt(v_c) ),
inference(superposition,[status(thm)],[c_1565,c_1627]) ).
tcf(c_41618,plain,
c_in(v_sko__local__Xassms__3__1(v_G,v_P,v_U,v_mgt__call),v_U,tc_Com_Opname),
inference(global_subsumption_just,[status(thm)],[c_41601,c_1625,c_1627,c_41165]) ).
tcf(c_41629,plain,
c_Set_Oinsert(hAPP(v_mgt__call,v_sko__local__Xassms__3__1(v_G,v_P,v_U,v_mgt__call)),v_G,t_a) = v_G,
inference(superposition,[status(thm)],[c_41618,c_36912]) ).
tcf(c_42295,plain,
c_in(hAPP(v_mgt__call,v_sko__local__Xassms__3__1(v_G,v_P,v_U,v_mgt__call)),v_G,t_a),
inference(superposition,[status(thm)],[c_41629,c_1383]) ).
tcf(c_168510,plain,
( hBOOL(hAPP(hAPP(v_P,v_G),c_Set_Oinsert(v_mgt(v_c),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a)))
| ~ v_wt(v_c)
| ~ hBOOL(hAPP(hAPP(v_P,v_G),c_Set_Oinsert(hAPP(v_mgt__call,v_sko__local__Xassms__3__1(v_G,v_P,v_U,v_mgt__call)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a))) ),
inference(instantiation,[status(thm)],[c_1566]) ).
tcf(c_171018,plain,
( hBOOL(hAPP(hAPP(v_P,v_G),c_Set_Oinsert(hAPP(v_mgt__call,v_sko__local__Xassms__3__1(v_G,v_P,v_U,v_mgt__call)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a)))
| ~ c_lessequals(c_Set_Oinsert(hAPP(v_mgt__call,v_sko__local__Xassms__3__1(v_G,v_P,v_U,v_mgt__call)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a),v_G,tc_fun(t_a,tc_bool)) ),
inference(instantiation,[status(thm)],[c_1618]) ).
tcf(c_244200,plain,
( c_lessequals(c_Set_Oinsert(hAPP(v_mgt__call,v_sko__local__Xassms__3__1(v_G,v_P,v_U,v_mgt__call)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a),v_G,tc_fun(t_a,tc_bool))
| ~ c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),v_G,tc_fun(t_a,tc_bool))
| ~ c_in(hAPP(v_mgt__call,v_sko__local__Xassms__3__1(v_G,v_P,v_U,v_mgt__call)),v_G,t_a) ),
inference(instantiation,[status(thm)],[c_1526]) ).
tcf(c_244201,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_244200,c_171018,c_168510,c_42295,c_41152,c_1627,c_1625]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SWV878-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.02 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.03/0.31 % Computer : n012.cluster.edu
% 0.03/0.31 % Model : x86_64 x86_64
% 0.03/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.31 % Memory : 8046.5625MB
% 0.03/0.31 % OS : Linux 6.8.0-71-generic
% 0.03/0.31 % CPULimit : 300
% 0.03/0.31 % WCLimit : 300
% 0.03/0.31 % DateTime : Thu Sep 24 21:13:00 UTC 2026
% 0.03/0.31 % CPUTime :
% 0.03/0.31 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.06/0.33 Running first-order theorem proving
% 0.06/0.33 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
% 0.06/0.34
% 0.06/0.34 % ======== iProver multi-core TPTP/SMT =========
% 0.06/0.34
% 0.06/0.34 % Detected problem language: tptp
% 0.06/0.35 % Proving...
% 123.26/36.72 % SZS status Started for theBenchmark.p
% 123.26/36.72 % SZS status Unsatisfiable for theBenchmark.p
% 123.26/36.72
% 123.26/36.72 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 123.26/36.72
% 123.26/36.72 % ------ iProver source info
% 123.26/36.72
% 123.26/36.72 % git: date: 2026-07-19 20:42:38 +0200
% 123.26/36.72 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 123.26/36.72 % git: non_committed_changes: false
% 123.26/36.72
% 123.26/36.72 % ------ Parsing...% successful
% 123.26/36.72
% 123.26/36.72
% 123.26/36.72 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 123.26/36.72
% 123.26/36.72 % ------ Preprocessing... sup_sim: 0 sf_s rm: 6 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe_e sup_sim: 0 sf_s rm: 6 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 6 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 6 0s sf_e pe_s pe_e %
% 123.26/36.72
% 123.26/36.72 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 123.26/36.72
% 123.26/36.72 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 123.26/36.72 % ------ Proving...
% 123.26/36.72 % ------ Problem Properties
% 123.26/36.72
% 123.26/36.72 %
% 123.26/36.72 % clauses 612
% 123.26/36.72 % conjectures 6
% 123.26/36.72 % EPR 51
% 123.26/36.72 % Horn 531
% 123.26/36.72 % unary 181
% 123.26/36.72 % binary 243
% 123.26/36.72 % lits 1300
% 123.26/36.72 % lits eq 354
% 123.26/36.72 % fd_pure 0
% 123.26/36.72 % fd_pseudo 0
% 123.26/36.72 % fd_cond 15
% 123.26/36.72 % fd_pseudo_cond 50
% 123.26/36.72 % AC symbols 0
% 123.26/36.72
% 123.26/36.72 % ------ Input Options Time Limit: Unbounded
% 123.26/36.72
% 123.26/36.72
% 123.26/36.72 % ------
% 123.26/36.72 % Current options:
% 123.26/36.72 % ------
% 123.26/36.72
% 123.26/36.72
% 123.26/36.72 %
% 123.26/36.72
% 123.26/36.72 % ------ Proving...
% 123.26/36.72 %
% 123.26/36.72
% 123.26/36.72 % ------ Proving...
% 123.26/36.72 %
% 123.26/36.72
% 123.26/36.72 % SZS status Unsatisfiable for theBenchmark.p
% 123.26/36.72
% 123.26/36.72 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 123.26/36.72
% 123.26/36.72
%------------------------------------------------------------------------------