%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV858-1 : 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 : n019.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 03:24:21 PM UTC 2026
% Result : Unsatisfiable 1.25s 1.08s
% Output : CNFRefutation 1.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 14
% Syntax : Number of formulae : 44 ( 18 unt; 0 def)
% Number of atoms : 77 ( 9 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 65 ( 32 ~; 33 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 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 : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 7 con; 0-3 aty)
% Number of variables : 61 ( 0 sgn 61 !; 0 ?; 35 :)
% Comments :
%------------------------------------------------------------------------------
fof(f105,axiom,
! [X2,X3,X0,X1] :
( ~ hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0,X2,tc_fun(X3,tc_bool)),X1))
| hBOOL(hAPP(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf1E_0) ).
fof(f157,axiom,
! [X2,X0,X1] : hBOOL(hAPP(hAPP(c_in(X0),X1),c_Set_Oinsert(X1,X2,X0))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__iff_1) ).
fof(f174,axiom,
! [X2,X0,X1] :
( ~ hBOOL(hAPP(hAPP(c_in(X2),X0),X1))
| c_Set_Oinsert(X0,X1,X2) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__absorb_0) ).
fof(f361,axiom,
! [X2,X0,X1] :
( ~ c_lessequals(X2,X1,X0)
| c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X0) = X2
| ~ class_Lattices_Olower__semilattice(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__absorb2_0) ).
fof(f636,axiom,
! [X2,X0,X1] :
( ~ hBOOL(hAPP(X2,X1))
| hBOOL(hAPP(hAPP(c_in(X0),X1),X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mem__def_1) ).
fof(f637,axiom,
! [X2,X0,X1] :
( ~ hBOOL(hAPP(hAPP(c_in(X2),X1),X0))
| hBOOL(hAPP(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mem__def_0) ).
fof(f641,negated_conjecture,
c_lessequals(v_tsa,v_ts_H,tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f642,negated_conjecture,
hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_xa),v_tsa)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f643,negated_conjecture,
~ c_Hoare__Mirabelle_Otriple__valid(v_x,v_xa,t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f644,negated_conjecture,
! [X0] :
( ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X0),v_Ga))
| c_Hoare__Mirabelle_Otriple__valid(v_x,X0,t_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f645,negated_conjecture,
! [X0,X1] :
( hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_n(X0)),v_Ga))
| ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_ts_H))
| c_Hoare__Mirabelle_Otriple__valid(X0,X1,t_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).
fof(f646,negated_conjecture,
! [X0,X1] :
( ~ c_Hoare__Mirabelle_Otriple__valid(X0,v_n(X0),t_a)
| ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_ts_H))
| c_Hoare__Mirabelle_Otriple__valid(X0,X1,t_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_6) ).
fof(f649,axiom,
! [X0,X1] :
( ~ class_Lattices_Olattice(X1)
| class_Lattices_Olower__semilattice(tc_fun(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_fun__Lattices_Olower__semilattice) ).
fof(f677,axiom,
class_Lattices_Olattice(tc_bool),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__Lattices_Olattice) ).
tcf(c_643,negated_conjecture,
c_lessequals(v_tsa,v_ts_H,tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),
inference(cnf_transformation,[],[f641]) ).
tcf(c_644,negated_conjecture,
hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_xa),v_tsa)),
inference(cnf_transformation,[],[f642]) ).
tcf(c_645,negated_conjecture,
~ c_Hoare__Mirabelle_Otriple__valid(v_x,v_xa,t_a),
inference(cnf_transformation,[],[f643]) ).
tcf(c_646,negated_conjecture,
! [X0: $i] :
( c_Hoare__Mirabelle_Otriple__valid(v_x,X0,t_a)
| ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X0),v_Ga)) ),
inference(cnf_transformation,[],[f644]) ).
tcf(c_647,negated_conjecture,
! [X0: $i,X1: $i] :
( c_Hoare__Mirabelle_Otriple__valid(X1,X0,t_a)
| hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_n(X1)),v_Ga))
| ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X0),v_ts_H)) ),
inference(cnf_transformation,[],[f645]) ).
tcf(c_648,negated_conjecture,
! [X0: $i,X1: $i] :
( c_Hoare__Mirabelle_Otriple__valid(X1,X0,t_a)
| ~ c_Hoare__Mirabelle_Otriple__valid(X1,v_n(X1),t_a)
| ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X0),v_ts_H)) ),
inference(cnf_transformation,[],[f646]) ).
tcf(c_662,plain,
! [X0: $i,X1: $i,X2: $i] :
( hBOOL(hAPP(X2,X1))
| ~ hBOOL(hAPP(hAPP(c_in(X0),X1),X2)) ),
inference(cnf_transformation,[],[f637]) ).
tcf(c_663,plain,
! [X0: $i,X1: $i,X2: $i] :
( hBOOL(hAPP(hAPP(c_in(X2),X1),X0))
| ~ hBOOL(hAPP(X0,X1)) ),
inference(cnf_transformation,[],[f636]) ).
tcf(c_688,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( hBOOL(hAPP(X0,X3))
| ~ hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0,X1,tc_fun(X2,tc_bool)),X3)) ),
inference(cnf_transformation,[],[f105]) ).
tcf(c_705,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Set_Oinsert(X1,X2,X0) = X2 )
| ~ hBOOL(hAPP(hAPP(c_in(X0),X1),X2)) ),
inference(cnf_transformation,[],[f174]) ).
tcf(c_709,plain,
! [X0: $i,X1: $i,X2: $i] : hBOOL(hAPP(hAPP(c_in(X0),X1),c_Set_Oinsert(X1,X2,X0))),
inference(cnf_transformation,[],[f157]) ).
tcf(c_827,plain,
class_Lattices_Olattice(tc_bool),
inference(cnf_transformation,[],[f677]) ).
tcf(c_829,plain,
! [X0: $i,X1: $i] :
( class_Lattices_Olower__semilattice(tc_fun(X1,X0))
| ~ class_Lattices_Olattice(X0) ),
inference(cnf_transformation,[],[f649]) ).
tcf(c_920,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Lattices_Olower__semilattice__class_Oinf(X1,X0,X2) = X0 )
| ~ class_Lattices_Olower__semilattice(X2)
| ~ c_lessequals(X0,X1,X2) ),
inference(cnf_transformation,[],[f361]) ).
tcf(c_11810,plain,
hBOOL(hAPP(v_tsa,v_xa)),
inference(superposition,[status(thm)],[c_644,c_662]) ).
tcf(c_11820,plain,
! [X0: $i,X1: $i] :
( c_Hoare__Mirabelle_Otriple__valid(X1,X0,t_a)
| hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_n(X1)),v_Ga))
| ~ hBOOL(hAPP(v_ts_H,X0)) ),
inference(superposition,[status(thm)],[c_663,c_647]) ).
tcf(c_11849,plain,
( hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_n(v_x)),v_Ga))
| ~ hBOOL(hAPP(v_ts_H,v_xa)) ),
inference(superposition,[status(thm)],[c_11820,c_645]) ).
tcf(c_11872,plain,
( c_Hoare__Mirabelle_Otriple__valid(v_x,v_n(v_x),t_a)
| ~ hBOOL(hAPP(v_ts_H,v_xa)) ),
inference(superposition,[status(thm)],[c_11849,c_646]) ).
tcf(c_12332,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Set_Oinsert(X1,X0,X2) = X0 )
| ~ hBOOL(hAPP(X0,X1)) ),
inference(superposition,[status(thm)],[c_663,c_705]) ).
tcf(c_13047,plain,
( ( c_Lattices_Olower__semilattice__class_Oinf(v_ts_H,v_tsa,tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)) = v_tsa )
| ~ class_Lattices_Olower__semilattice(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)) ),
inference(superposition,[status(thm)],[c_643,c_920]) ).
tcf(c_13410,plain,
( ( c_Lattices_Olower__semilattice__class_Oinf(v_ts_H,v_tsa,tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)) = v_tsa )
| ~ class_Lattices_Olattice(tc_bool) ),
inference(superposition,[status(thm)],[c_829,c_13047]) ).
tcf(c_13411,plain,
c_Lattices_Olower__semilattice__class_Oinf(v_ts_H,v_tsa,tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)) = v_tsa,
inference(forward_subsumption_resolution,[status(thm)],[c_13410,c_827]) ).
tcf(c_13419,plain,
! [X0: $i] :
( hBOOL(hAPP(v_ts_H,X0))
| ~ hBOOL(hAPP(v_tsa,X0)) ),
inference(superposition,[status(thm)],[c_13411,c_688]) ).
tcf(c_13467,plain,
hBOOL(hAPP(v_ts_H,v_xa)),
inference(superposition,[status(thm)],[c_11810,c_13419]) ).
tcf(c_13473,plain,
c_Hoare__Mirabelle_Otriple__valid(v_x,v_n(v_x),t_a),
inference(backward_subsumption_resolution,[status(thm)],[c_11872,c_13467]) ).
tcf(c_13482,plain,
! [X0: $i] : c_Set_Oinsert(v_xa,v_ts_H,X0) = v_ts_H,
inference(superposition,[status(thm)],[c_13467,c_12332]) ).
tcf(c_13798,plain,
! [X0: $i] : hBOOL(hAPP(hAPP(c_in(X0),v_xa),v_ts_H)),
inference(superposition,[status(thm)],[c_13482,c_709]) ).
tcf(c_13811,plain,
! [X0: $i] :
( c_Hoare__Mirabelle_Otriple__valid(X0,v_xa,t_a)
| ~ c_Hoare__Mirabelle_Otriple__valid(X0,v_n(X0),t_a) ),
inference(superposition,[status(thm)],[c_13798,c_648]) ).
tcf(c_13842,plain,
c_Hoare__Mirabelle_Otriple__valid(v_x,v_xa,t_a),
inference(superposition,[status(thm)],[c_13473,c_13811]) ).
tcf(c_13843,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_13842,c_645]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV858-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.35 % Computer : n019.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Thu Sep 24 21:11:04 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.14/0.40 Running first-order theorem proving
% 0.14/0.40 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
% 0.14/0.41
% 0.14/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.41
% 0.14/0.41 % Detected problem language: tptp
% 0.14/0.42 % Proving...
% 1.25/1.08 % SZS status Started for theBenchmark.p
% 1.25/1.08 % SZS status Unsatisfiable for theBenchmark.p
% 1.25/1.08
% 1.25/1.08 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.25/1.08
% 1.25/1.08 % ------ iProver source info
% 1.25/1.08
% 1.25/1.08 % git: date: 2026-07-19 20:42:38 +0200
% 1.25/1.08 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.25/1.08 % git: non_committed_changes: false
% 1.25/1.08
% 1.25/1.08 % ------ Parsing...% successful
% 1.25/1.08
% 1.25/1.08
% 1.25/1.08 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.25/1.08
% 1.25/1.08 % ------ Preprocessing... sup_sim: 20 sf_s rm: 11 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e %
% 1.25/1.08
% 1.25/1.08 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.25/1.08
% 1.25/1.08 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.25/1.08 % ------ Proving...
% 1.25/1.08 % ------ Problem Properties
% 1.25/1.08
% 1.25/1.08 %
% 1.25/1.08 % clauses 257
% 1.25/1.08 % conjectures 6
% 1.25/1.08 % EPR 4
% 1.25/1.08 % Horn 233
% 1.25/1.08 % unary 92
% 1.25/1.08 % binary 101
% 1.25/1.08 % lits 492
% 1.25/1.08 % lits eq 152
% 1.25/1.08 % fd_pure 0
% 1.25/1.08 % fd_pseudo 0
% 1.25/1.08 % fd_cond 0
% 1.25/1.08 % fd_pseudo_cond 19
% 1.25/1.08 % AC symbols 0
% 1.25/1.08
% 1.25/1.08 % ------ Schedule dynamic 5 is on
% 1.25/1.08
% 1.25/1.08 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.25/1.08
% 1.25/1.08
% 1.25/1.08 % ------
% 1.25/1.08 % Current options:
% 1.25/1.08 % ------
% 1.25/1.08
% 1.25/1.08
% 1.25/1.08 %
% 1.25/1.08
% 1.25/1.08 % ------ Proving...
% 1.25/1.08 %
% 1.25/1.08
% 1.25/1.08 % SZS status Unsatisfiable for theBenchmark.p
% 1.25/1.08
% 1.25/1.08 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.25/1.08
% 1.25/1.08
%------------------------------------------------------------------------------