%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV879-1 : 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 : 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 03:24:23 PM UTC 2026
% Result : Unsatisfiable 50.32s 18.89s
% Output : CNFRefutation 50.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 20
% Syntax : Number of formulae : 60 ( 50 unt; 6 def)
% Number of atoms : 108 ( 37 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 25 ( 15 ~; 10 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 10 ( 8 usr; 7 prp; 0-3 aty)
% Number of functors : 18 ( 18 usr; 8 con; 0-5 aty)
% Number of variables : 91 ( 0 sgn 91 !; 0 ?; 54 :)
% Comments :
%------------------------------------------------------------------------------
fof(f616,axiom,
! [X2,X0,X1] : c_lessequals(X0,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X0),X2),tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__upper1_0) ).
fof(f741,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(f774,axiom,
! [X0,X1] : c_Collect(X0,X1) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Collect__def_0) ).
fof(f833,axiom,
! [X2,X3,X0,X1,X4] : hAPP(c_Fun_Ofun__upd(X0,X1,X2,X3,X4),X1) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_fun__upd__apply_0) ).
fof(f834,axiom,
! [X2,X3,X0,X1] : c_Fun_Ofun__upd(X0,X1,hAPP(X0,X1),X2,X3) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_fun__upd__idem__iff_1) ).
fof(f902,axiom,
! [X0,X1] : c_Collect(c_fequal(X0,X1),X1) = c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_singleton__conv2_0) ).
fof(f903,plain,
! [X0,X1] : c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1) = c_Collect(c_fequal(X0,X1),X1),
inference(reorient_equations,[],[f902]) ).
fof(f928,axiom,
! [X2,X0,X1] : c_Set_Oinsert(X0,X1,X2) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__is__Un_0) ).
fof(f958,axiom,
! [X2,X3,X0,X1,X4] : c_Set_Oimage(X0,c_Set_Oinsert(X1,X2,X3),X3,X4) = c_Set_Oinsert(hAPP(X0,X1),c_Set_Oimage(X0,X2,X3,X4),X4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_image__insert_0) ).
fof(f990,axiom,
! [X2,X0,X1] :
( ~ hBOOL(hAPP(X1,X0))
| hBOOL(c_in(X0,X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mem__def_1) ).
fof(f991,axiom,
! [X2,X0,X1] :
( ~ hBOOL(c_in(X1,X0,X2))
| hBOOL(hAPP(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mem__def_0) ).
fof(f1003,axiom,
! [X2,X0,X1] :
( ~ hBOOL(c_in(X0,X1,X2))
| c_Set_Oinsert(X0,X1,X2) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__absorb_0) ).
fof(f1011,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_1) ).
fof(f1012,negated_conjecture,
hBOOL(c_in(v_x,v_U,tc_Com_Opname)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f1013,negated_conjecture,
~ hBOOL(hAPP(hAPP(v_P,c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a)),c_Set_Oinsert(hAPP(v_mgt__call,v_x),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
tcf(c_1437,plain,
! [X0: $i,X1: $i,X2: $i] : c_lessequals(X0,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X0),X2),tc_fun(X1,tc_bool)),
inference(cnf_transformation,[],[f616]) ).
tcf(c_1534,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,[],[f741]) ).
tcf(c_1558,plain,
! [X0: $i,X1: $i] : c_Collect(X0,X1) = X0,
inference(cnf_transformation,[],[f774]) ).
tcf(c_1604,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : hAPP(c_Fun_Ofun__upd(X0,X1,X2,X3,X4),X1) = X2,
inference(cnf_transformation,[],[f833]) ).
tcf(c_1605,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Fun_Ofun__upd(X0,X1,hAPP(X0,X1),X2,X3) = X0,
inference(cnf_transformation,[],[f834]) ).
tcf(c_1662,plain,
! [X0: $i,X1: $i] : c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1) = c_Collect(c_fequal(X0,X1),X1),
inference(cnf_transformation,[],[f903]) ).
tcf(c_1679,plain,
! [X0: $i,X1: $i,X2: $i] : hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X0,tc_bool)),c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X0)),X2) = c_Set_Oinsert(X1,X2,X0),
inference(cnf_transformation,[],[f928]) ).
tcf(c_1698,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_Set_Oinsert(hAPP(X0,X1),c_Set_Oimage(X0,X2,X3,X4),X4) = c_Set_Oimage(X0,c_Set_Oinsert(X1,X2,X3),X3,X4),
inference(cnf_transformation,[],[f958]) ).
tcf(c_1725,plain,
! [X0: $i,X1: $i,X2: $i] :
( hBOOL(c_in(X1,X0,X2))
| ~ hBOOL(hAPP(X0,X1)) ),
inference(cnf_transformation,[],[f990]) ).
tcf(c_1726,plain,
! [X0: $i,X1: $i,X2: $i] :
( hBOOL(hAPP(X1,X0))
| ~ hBOOL(c_in(X0,X1,X2)) ),
inference(cnf_transformation,[],[f991]) ).
tcf(c_1735,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Set_Oinsert(X0,X1,X2) = X1 )
| ~ hBOOL(c_in(X0,X1,X2)) ),
inference(cnf_transformation,[],[f1003]) ).
tcf(c_1743,negated_conjecture,
c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a) = v_G,
inference(cnf_transformation,[],[f1011]) ).
tcf(c_1744,negated_conjecture,
hBOOL(c_in(v_x,v_U,tc_Com_Opname)),
inference(cnf_transformation,[],[f1012]) ).
tcf(c_1745,negated_conjecture,
~ hBOOL(hAPP(hAPP(v_P,c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a)),c_Set_Oinsert(hAPP(v_mgt__call,v_x),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a))),
inference(cnf_transformation,[],[f1013]) ).
tcf(c_7903,plain,
! [X0: $i,X1: $i] : c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1) = c_fequal(X0,X1),
inference(demodulation,[status(thm)],[c_1662,c_1558]) ).
tcf(c_8713,plain,
~ hBOOL(hAPP(hAPP(v_P,v_G),c_Set_Oinsert(hAPP(v_mgt__call,v_x),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a))),
inference(light_normalisation,[status(thm)],[c_1745,c_1743]) ).
tcf(c_8714,plain,
~ hBOOL(hAPP(hAPP(v_P,v_G),c_fequal(hAPP(v_mgt__call,v_x),t_a))),
inference(demodulation,[status(thm)],[c_8713,c_7903]) ).
tcf(c_8808,plain,
! [X0: $i,X1: $i,X2: $i] : hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X0,tc_bool)),c_fequal(X1,X0)),X2) = c_Set_Oinsert(X1,X2,X0),
inference(demodulation,[status(thm)],[c_1679,c_7903]) ).
tcf(c_39348,definition,
iPr_def_10 = hAPP(v_P,v_G),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_39349,definition,
iPr_def_11 = hAPP(v_mgt__call,v_x),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_39350,definition,
iPr_def_12 = c_fequal(iPr_def_11,t_a),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_39351,definition,
iPr_def_13 = hAPP(iPr_def_10,iPr_def_12),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_39352,definition,
iPr_def_14 = c_in(v_x,v_U,tc_Com_Opname),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_39353,definition,
iPr_def_15 = c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_39354,plain,
~ hBOOL(iPr_def_13),
inference(demodulation,[status(thm)],[c_8714,c_39349,c_39350,c_39348,c_39351]) ).
tcf(c_39355,negated_conjecture,
hBOOL(iPr_def_14),
inference(demodulation,[status(thm)],[c_1744,c_39352]) ).
tcf(c_39356,negated_conjecture,
iPr_def_15 = v_G,
inference(demodulation,[status(thm)],[c_1743,c_39353]) ).
tcf(c_49438,plain,
hAPP(v_P,iPr_def_15) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_39348,c_39356]) ).
tcf(c_49623,plain,
( hBOOL(hAPP(v_U,v_x))
| ~ hBOOL(iPr_def_14) ),
inference(superposition,[status(thm)],[c_39352,c_1726]) ).
tcf(c_49624,plain,
hBOOL(hAPP(v_U,v_x)),
inference(forward_subsumption_resolution,[status(thm)],[c_49623,c_39355]) ).
tcf(c_49906,plain,
! [X0: $i] : hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(t_a,tc_bool)),iPr_def_12),X0) = c_Set_Oinsert(iPr_def_11,X0,t_a),
inference(superposition,[status(thm)],[c_39350,c_8808]) ).
tcf(c_50045,plain,
! [X0: $i,X1: $i] : c_Fun_Ofun__upd(v_mgt__call,v_x,iPr_def_11,X0,X1) = v_mgt__call,
inference(superposition,[status(thm)],[c_39349,c_1605]) ).
tcf(c_50052,plain,
! [X0: $i,X1: $i] : c_Fun_Ofun__upd(iPr_def_10,iPr_def_12,iPr_def_13,X0,X1) = iPr_def_10,
inference(superposition,[status(thm)],[c_39351,c_1605]) ).
tcf(c_50069,plain,
hAPP(v_mgt__call,v_x) = iPr_def_11,
inference(superposition,[status(thm)],[c_50045,c_1604]) ).
tcf(c_50113,plain,
hAPP(iPr_def_10,iPr_def_12) = iPr_def_13,
inference(superposition,[status(thm)],[c_50052,c_1604]) ).
tcf(c_51360,plain,
! [X0: $i] : c_lessequals(iPr_def_12,c_Set_Oinsert(iPr_def_11,X0,t_a),tc_fun(t_a,tc_bool)),
inference(superposition,[status(thm)],[c_49906,c_1437]) ).
tcf(c_51553,plain,
! [X0: $i] : hBOOL(hAPP(hAPP(v_P,c_Set_Oinsert(iPr_def_11,X0,t_a)),iPr_def_12)),
inference(superposition,[status(thm)],[c_51360,c_1534]) ).
tcf(c_51683,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Set_Oinsert(X1,X0,X2) = X0 )
| ~ hBOOL(hAPP(X0,X1)) ),
inference(superposition,[status(thm)],[c_1725,c_1735]) ).
tcf(c_52115,plain,
! [X0: $i] : c_Set_Oinsert(v_x,v_U,X0) = v_U,
inference(superposition,[status(thm)],[c_49624,c_51683]) ).
tcf(c_105991,plain,
! [X0: $i,X1: $i,X2: $i] : c_Set_Oinsert(hAPP(X0,v_x),c_Set_Oimage(X0,v_U,X1,X2),X2) = c_Set_Oimage(X0,v_U,X1,X2),
inference(superposition,[status(thm)],[c_52115,c_1698]) ).
tcf(c_108680,plain,
c_Set_Oinsert(hAPP(v_mgt__call,v_x),iPr_def_15,t_a) = iPr_def_15,
inference(superposition,[status(thm)],[c_39353,c_105991]) ).
tcf(c_108716,plain,
c_Set_Oinsert(iPr_def_11,iPr_def_15,t_a) = iPr_def_15,
inference(light_normalisation,[status(thm)],[c_108680,c_50069]) ).
tcf(c_109774,plain,
hBOOL(hAPP(hAPP(v_P,iPr_def_15),iPr_def_12)),
inference(superposition,[status(thm)],[c_108716,c_51553]) ).
tcf(c_109785,plain,
hBOOL(iPr_def_13),
inference(light_normalisation,[status(thm)],[c_109774,c_49438,c_50113]) ).
tcf(c_109786,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_109785,c_39354]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWV879-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/10.42 % Computer : n019.cluster.edu
% 0.14/10.42 % Model : x86_64 x86_64
% 0.14/10.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/10.42 % Memory : 8046.5625MB
% 0.14/10.42 % OS : Linux 6.8.0-71-generic
% 0.14/10.42 % CPULimit : 300
% 0.14/10.42 % WCLimit : 300
% 0.14/10.42 % DateTime : Thu Sep 24 21:13:31 UTC 2026
% 0.14/10.43 % CPUTime :
% 0.14/10.43 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/10.46 Running first-order theorem proving
% 0.14/10.46 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
% 0.14/10.48
% 0.14/10.48 % ======== iProver multi-core TPTP/SMT =========
% 0.14/10.48
% 0.14/10.48 % Detected problem language: tptp
% 0.14/10.49 % Proving...
% 50.32/18.89 % SZS status Started for theBenchmark.p
% 50.32/18.89 % SZS status Unsatisfiable for theBenchmark.p
% 50.32/18.89
% 50.32/18.89 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 50.32/18.89
% 50.32/18.89 % ------ iProver source info
% 50.32/18.89
% 50.32/18.89 % git: date: 2026-07-19 20:42:38 +0200
% 50.32/18.89 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 50.32/18.89 % git: non_committed_changes: false
% 50.32/18.89
% 50.32/18.89 % ------ Parsing...% successful
% 50.32/18.89
% 50.32/18.89
% 50.32/18.89 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 50.32/18.89
% 50.32/18.89 % ------ Preprocessing... sup_sim: 71 sf_s rm: 10 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe_e sup_sim: 75 sf_s rm: 14 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 14 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 14 0s sf_e pe_s pe_e %
% 50.32/18.89
% 50.32/18.89 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 50.32/18.89
% 50.32/18.89 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 50.32/18.89 % ------ Proving...
% 50.32/18.89 % ------ Problem Properties
% 50.32/18.89
% 50.32/18.89 %
% 50.32/18.89 % clauses 640
% 50.32/18.89 % conjectures 3
% 50.32/18.89 % EPR 54
% 50.32/18.89 % Horn 551
% 50.32/18.89 % unary 185
% 50.32/18.89 % binary 240
% 50.32/18.89 % lits 1385
% 50.32/18.89 % lits eq 377
% 50.32/18.89 % fd_pure 0
% 50.32/18.89 % fd_pseudo 0
% 50.32/18.89 % fd_cond 15
% 50.32/18.89 % fd_pseudo_cond 45
% 50.32/18.89 % AC symbols 0
% 50.32/18.89
% 50.32/18.89 % ------ Schedule dynamic 5 is on
% 50.32/18.89
% 50.32/18.89 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 50.32/18.89
% 50.32/18.89
% 50.32/18.89 % ------
% 50.32/18.89 % Current options:
% 50.32/18.89 % ------
% 50.32/18.89
% 50.32/18.89
% 50.32/18.89 %
% 50.32/18.89
% 50.32/18.89 % ------ Proving...
% 50.32/18.89 %
% 50.32/18.89
% 50.32/18.89 % SZS status Unsatisfiable for theBenchmark.p
% 50.32/18.89
% 50.32/18.89 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 50.32/18.89
%------------------------------------------------------------------------------