%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV880-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n008.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 6.33s 21.77s
% Output : CNFRefutation 6.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 21 ( 12 unt; 0 def)
% Number of atoms : 30 ( 6 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 22 ( 13 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 7 con; 0-4 aty)
% Number of variables : 31 ( 0 sgn 31 !; 0 ?; 17 :)
% Comments :
%------------------------------------------------------------------------------
fof(f433,axiom,
! [X2,X3,X0,X1] :
( ~ c_lessequals(X1,X3,tc_fun(X2,tc_bool))
| c_lessequals(c_Set_Oinsert(X0,X1,X2),c_Set_Oinsert(X0,X3,X2),tc_fun(X2,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__mono_0) ).
fof(f493,axiom,
! [X0,X1] : c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X1,tc_fun(X0,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_empty__subsetI_0) ).
fof(f523,axiom,
! [X2,X0,X1] :
( ~ c_in(X0,X1,X2)
| c_Set_Oinsert(X0,X1,X2) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__absorb_0) ).
fof(f526,axiom,
! [X2,X3,X0,X1,X4] :
( c_in(hAPP(X3,X0),c_Set_Oimage(X3,X1,X2,X4),X4)
| ~ c_in(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rev__image__eqI_0) ).
fof(f532,negated_conjecture,
v_G = c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f533,negated_conjecture,
c_in(v_pn,v_U,tc_Com_Opname),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f534,negated_conjecture,
~ c_lessequals(c_Set_Oinsert(hAPP(v_mgt__call,v_pn),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a),c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),tc_fun(t_a,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
tcf(c_557,negated_conjecture,
c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a) = v_G,
inference(cnf_transformation,[],[f532]) ).
tcf(c_558,negated_conjecture,
c_in(v_pn,v_U,tc_Com_Opname),
inference(cnf_transformation,[],[f533]) ).
tcf(c_559,negated_conjecture,
~ c_lessequals(c_Set_Oinsert(hAPP(v_mgt__call,v_pn),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a),c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),tc_fun(t_a,tc_bool)),
inference(cnf_transformation,[],[f534]) ).
tcf(c_582,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,[],[f526]) ).
tcf(c_598,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Set_Oinsert(X0,X1,X2) = X1 )
| ~ c_in(X0,X1,X2) ),
inference(cnf_transformation,[],[f523]) ).
tcf(c_627,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,[],[f493]) ).
tcf(c_665,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_lessequals(c_Set_Oinsert(X3,X0,X2),c_Set_Oinsert(X3,X1,X2),tc_fun(X2,tc_bool))
| ~ c_lessequals(X0,X1,tc_fun(X2,tc_bool)) ),
inference(cnf_transformation,[],[f433]) ).
tcf(c_1530,plain,
~ c_lessequals(c_Set_Oinsert(hAPP(v_mgt__call,v_pn),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a),v_G,tc_fun(t_a,tc_bool)),
inference(light_normalisation,[status(thm)],[c_559,c_557]) ).
tcf(c_4284,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_557,c_582]) ).
tcf(c_4315,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_4284,c_598]) ).
tcf(c_4323,plain,
c_Set_Oinsert(hAPP(v_mgt__call,v_pn),v_G,t_a) = v_G,
inference(superposition,[status(thm)],[c_558,c_4315]) ).
tcf(c_6490,plain,
! [X0: $i] :
( c_lessequals(c_Set_Oinsert(hAPP(v_mgt__call,v_pn),X0,t_a),v_G,tc_fun(t_a,tc_bool))
| ~ c_lessequals(X0,v_G,tc_fun(t_a,tc_bool)) ),
inference(superposition,[status(thm)],[c_4323,c_665]) ).
tcf(c_7512,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_6490,c_1530]) ).
tcf(c_7519,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_7512,c_627]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV880-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/20.39 % Computer : n008.cluster.edu
% 0.11/20.39 % Model : x86_64 x86_64
% 0.11/20.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/20.39 % Memory : 8046.5625MB
% 0.11/20.39 % OS : Linux 6.8.0-71-generic
% 0.11/20.39 % CPULimit : 300
% 0.11/20.39 % WCLimit : 300
% 0.11/20.39 % DateTime : Thu Sep 24 21:15:18 UTC 2026
% 0.11/20.40 % CPUTime :
% 0.11/20.40 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.15/20.44 Running first-order theorem proving
% 0.15/20.44 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
% 0.15/20.45
% 0.15/20.45 % ======== iProver multi-core TPTP/SMT =========
% 0.15/20.45
% 0.15/20.45 % Detected problem language: tptp
% 0.15/20.46 % Proving...
% 6.33/21.77 % SZS status Started for theBenchmark.p
% 6.33/21.77 % SZS status Unsatisfiable for theBenchmark.p
% 6.33/21.77
% 6.33/21.77 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 6.33/21.77
% 6.33/21.77 % ------ iProver source info
% 6.33/21.77
% 6.33/21.77 % git: date: 2026-07-19 20:42:38 +0200
% 6.33/21.77 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 6.33/21.77 % git: non_committed_changes: false
% 6.33/21.77
% 6.33/21.77 % ------ Parsing...% successful
% 6.33/21.77
% 6.33/21.77
% 6.33/21.77 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 6.33/21.77
% 6.33/21.77 % ------ Preprocessing... sup_sim: 5 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 %
% 6.33/21.77
% 6.33/21.77 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 6.33/21.77
% 6.33/21.77 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 6.33/21.77 % ------ Proving...
% 6.33/21.77 % ------ Problem Properties
% 6.33/21.77
% 6.33/21.77 %
% 6.33/21.77 % clauses 128
% 6.33/21.77 % conjectures 3
% 6.33/21.77 % EPR 2
% 6.33/21.77 % Horn 109
% 6.33/21.77 % unary 43
% 6.33/21.77 % binary 42
% 6.33/21.77 % lits 265
% 6.33/21.77 % lits eq 71
% 6.33/21.77 % fd_pure 0
% 6.33/21.77 % fd_pseudo 0
% 6.33/21.77 % fd_cond 0
% 6.33/21.77 % fd_pseudo_cond 14
% 6.33/21.77 % AC symbols 0
% 6.33/21.77
% 6.33/21.77 % ------ Schedule dynamic 5 is on
% 6.33/21.77
% 6.33/21.77 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 6.33/21.77
% 6.33/21.77
% 6.33/21.77 % ------
% 6.33/21.77 % Current options:
% 6.33/21.77 % ------
% 6.33/21.77
% 6.33/21.77
% 6.33/21.77 %
% 6.33/21.77
% 6.33/21.77 % ------ Proving...
% 6.33/21.77 %
% 6.33/21.77
% 6.33/21.77 % SZS status Unsatisfiable for theBenchmark.p
% 6.33/21.77
% 6.33/21.77 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 6.33/21.77
% 6.33/21.77
%------------------------------------------------------------------------------