%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV841-1 : 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 : 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 03:24:19 PM UTC 2026
% Result : Unsatisfiable 10.69s 7.86s
% Output : CNFRefutation 10.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of formulae : 27 ( 20 unt; 0 def)
% Number of atoms : 36 ( 6 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 21 ( 12 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 7 ( 2 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 : 11 ( 11 usr; 5 con; 0-2 aty)
% Number of variables : 53 ( 0 sgn 53 !; 0 ?; 28 :)
% Comments :
%------------------------------------------------------------------------------
fof(f328,axiom,
! [X0,X1] : hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X0,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool))),X1) = c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Int__empty__left_0) ).
fof(f329,plain,
! [X0,X1] : c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X0,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool))),X1),
inference(reorient_equations,[],[f328]) ).
fof(f359,axiom,
! [X2,X0,X1] : c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X0,tc_bool)),X1),X2),X2,tc_fun(X0,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Int__lower2_0) ).
fof(f497,axiom,
! [X2,X0,X1] : c_lessequals(X0,hAPP(hAPP(c_Set_Oinsert(X1),X2),X0),tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__insertI_0) ).
fof(f498,axiom,
! [X2,X3,X0,X1] : hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X0,tc_bool)),hAPP(hAPP(c_Set_Oinsert(X0),X1),X2)),hAPP(hAPP(c_Set_Oinsert(X0),X1),X3)) = hAPP(hAPP(c_Set_Oinsert(X0),X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X0,tc_bool)),X2),X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__inter__insert_0) ).
fof(f499,plain,
! [X2,X3,X0,X1] : hAPP(hAPP(c_Set_Oinsert(X0),X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X0,tc_bool)),X2),X3)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X0,tc_bool)),hAPP(hAPP(c_Set_Oinsert(X0),X1),X2)),hAPP(hAPP(c_Set_Oinsert(X0),X1),X3)),
inference(reorient_equations,[],[f498]) ).
fof(f513,axiom,
! [X2,X0,X1] :
( ~ c_lessequals(X1,X0,tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_bool))
| c_Hoare__Mirabelle_Ohoare__derivs(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_asm_0) ).
fof(f569,axiom,
! [X2,X3,X0,X1] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(X3,X1,X2)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X0,X3,X2)
| c_Hoare__Mirabelle_Ohoare__derivs(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_cut_0) ).
fof(f587,negated_conjecture,
c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),v_ts),t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f588,negated_conjecture,
( ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,v_ts,t_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
tcf(c_576,negated_conjecture,
c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),v_ts),t_a),
inference(cnf_transformation,[],[f587]) ).
tcf(c_577,negated_conjecture,
( ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,v_ts,t_a)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) ),
inference(cnf_transformation,[],[f588]) ).
tcf(c_605,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X0,tc_bool)),hAPP(hAPP(c_Set_Oinsert(X0),X1),X2)),hAPP(hAPP(c_Set_Oinsert(X0),X1),X3)) = hAPP(hAPP(c_Set_Oinsert(X0),X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X0,tc_bool)),X2),X3)),
inference(cnf_transformation,[],[f499]) ).
tcf(c_606,plain,
! [X0: $i,X1: $i,X2: $i] : c_lessequals(X0,hAPP(hAPP(c_Set_Oinsert(X1),X2),X0),tc_fun(X1,tc_bool)),
inference(cnf_transformation,[],[f497]) ).
tcf(c_622,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Hoare__Mirabelle_Ohoare__derivs(X0,X3,X2)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,X3,X2)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X0,X1,X2) ),
inference(cnf_transformation,[],[f569]) ).
tcf(c_624,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Hoare__Mirabelle_Ohoare__derivs(X1,X0,X2)
| ~ c_lessequals(X0,X1,tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_bool)) ),
inference(cnf_transformation,[],[f513]) ).
tcf(c_688,plain,
! [X0: $i,X1: $i,X2: $i] : c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X0,tc_bool)),X1),X2),X2,tc_fun(X0,tc_bool)),
inference(cnf_transformation,[],[f359]) ).
tcf(c_699,plain,
! [X0: $i,X1: $i] : hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X0,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool))),X1) = c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),
inference(cnf_transformation,[],[f329]) ).
tcf(c_3235,plain,
! [X0: $i,X1: $i,X2: $i] : c_Hoare__Mirabelle_Ohoare__derivs(hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X0)),X1),X2),X2,X0),
inference(superposition,[status(thm)],[c_606,c_624]) ).
tcf(c_3246,plain,
! [X0: $i,X1: $i,X2: $i] : c_Hoare__Mirabelle_Ohoare__derivs(X0,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_Hoare__Mirabelle_Otriple(X1),tc_bool)),X2),X0),X1),
inference(superposition,[status(thm)],[c_688,c_624]) ).
tcf(c_3289,plain,
! [X0: $i] :
( c_Hoare__Mirabelle_Ohoare__derivs(v_G,X0,t_a)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),v_ts),X0,t_a) ),
inference(superposition,[status(thm)],[c_576,c_622]) ).
tcf(c_3341,plain,
c_Hoare__Mirabelle_Ohoare__derivs(v_G,v_ts,t_a),
inference(superposition,[status(thm)],[c_3235,c_3289]) ).
tcf(c_3342,plain,
! [X0: $i] : c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),X0),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),v_ts)),t_a),
inference(superposition,[status(thm)],[c_3246,c_3289]) ).
tcf(c_3344,plain,
~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a),
inference(backward_subsumption_resolution,[status(thm)],[c_577,c_3341]) ).
tcf(c_13381,plain,
! [X0: $i] : c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),X0),v_ts)),t_a),
inference(superposition,[status(thm)],[c_605,c_3342]) ).
tcf(c_14210,plain,
c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a),
inference(superposition,[status(thm)],[c_699,c_13381]) ).
tcf(c_14218,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_14210,c_3344]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV841-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.13/5.39 % Computer : n001.cluster.edu
% 0.13/5.39 % Model : x86_64 x86_64
% 0.13/5.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/5.39 % Memory : 8046.5625MB
% 0.13/5.39 % OS : Linux 6.8.0-71-generic
% 0.13/5.39 % CPULimit : 300
% 0.13/5.39 % WCLimit : 300
% 0.13/5.39 % DateTime : Thu Sep 24 21:14:29 UTC 2026
% 0.13/5.39 % CPUTime :
% 0.13/5.39 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.17/5.43 Running first-order theorem proving
% 0.17/5.43 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
% 0.17/5.45
% 0.17/5.45 % ======== iProver multi-core TPTP/SMT =========
% 0.17/5.45
% 0.17/5.45 % Detected problem language: tptp
% 0.17/5.46 % Proving...
% 10.69/7.86 % SZS status Started for theBenchmark.p
% 10.69/7.86 % SZS status Unsatisfiable for theBenchmark.p
% 10.69/7.86
% 10.69/7.86 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 10.69/7.86
% 10.69/7.86 % ------ iProver source info
% 10.69/7.86
% 10.69/7.86 % git: date: 2026-07-19 20:42:38 +0200
% 10.69/7.86 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 10.69/7.86 % git: non_committed_changes: false
% 10.69/7.86
% 10.69/7.86 % ------ Parsing...% successful
% 10.69/7.86
% 10.69/7.86
% 10.69/7.86 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 10.69/7.86
% 10.69/7.86 % ------ Preprocessing... sup_sim: 3 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 %
% 10.69/7.86
% 10.69/7.86 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 10.69/7.86
% 10.69/7.86 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 10.69/7.86 % ------ Proving...
% 10.69/7.86 % ------ Problem Properties
% 10.69/7.86
% 10.69/7.86 %
% 10.69/7.86 % clauses 104
% 10.69/7.86 % conjectures 2
% 10.69/7.86 % EPR 1
% 10.69/7.86 % Horn 91
% 10.69/7.86 % unary 38
% 10.69/7.86 % binary 39
% 10.69/7.86 % lits 198
% 10.69/7.86 % lits eq 65
% 10.69/7.86 % fd_pure 0
% 10.69/7.86 % fd_pseudo 0
% 10.69/7.86 % fd_cond 0
% 10.69/7.86 % fd_pseudo_cond 14
% 10.69/7.86 % AC symbols 0
% 10.69/7.86
% 10.69/7.86 % ------ Schedule dynamic 5 is on
% 10.69/7.86
% 10.69/7.86 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 10.69/7.86
% 10.69/7.86
% 10.69/7.86 % ------
% 10.69/7.86 % Current options:
% 10.69/7.86 % ------
% 10.69/7.86
% 10.69/7.86
% 10.69/7.86 %
% 10.69/7.86
% 10.69/7.86 % ------ Proving...
% 10.69/7.86 %
% 10.69/7.86
% 10.69/7.86 % SZS status Unsatisfiable for theBenchmark.p
% 10.69/7.86
% 10.69/7.86 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 10.69/7.86
% 10.69/7.86
%------------------------------------------------------------------------------