%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV903-1 : 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 : n020.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 03:24:26 PM UTC 2026
% Result : Unsatisfiable 16.01s 3.28s
% Output : CNFRefutation 16.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of formulae : 23 ( 11 unt; 0 def)
% Number of atoms : 37 ( 8 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 33 ( 19 ~; 14 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 5 ( 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 : 18 ( 18 usr; 9 con; 0-5 aty)
% Number of variables : 48 ( 0 sgn 48 !; 0 ?; 26 :)
% Comments :
%------------------------------------------------------------------------------
fof(f724,axiom,
! [X2,X3,X0,X1,X4,X5] : c_Set_Oimage(X0,c_Set_Oimage(X1,X2,X3,X4),X4,X5) = c_Set_Oimage(c_COMBB(X0,X1,X4,X5,X3),X2,X3,X5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_image__image_0) ).
fof(f725,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(f750,axiom,
! [X2,X3,X0,X1,X4] :
( c_in(X1,c_Map_Odom(X0,X4,X3),X4)
| hAPP(X0,X1) != c_Option_Ooption_OSome(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_domI_0) ).
fof(f763,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(f803,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/sandbox/benchmark/theBenchmark.p',cls_rev__image__eqI_0) ).
fof(f814,negated_conjecture,
hAPP(c_Com_Obody,v_pna) = c_Option_Ooption_OSome(v_ya,tc_Com_Ocom),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_6) ).
fof(f815,negated_conjecture,
~ c_lessequals(c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,v_pna)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_7) ).
tcf(c_781,negated_conjecture,
hAPP(c_Com_Obody,v_pna) = c_Option_Ooption_OSome(v_ya,tc_Com_Ocom),
inference(cnf_transformation,[],[f814]) ).
tcf(c_782,negated_conjecture,
~ c_lessequals(c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,v_pna)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),
inference(cnf_transformation,[],[f815]) ).
tcf(c_829,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,[],[f725]) ).
tcf(c_849,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,[],[f763]) ).
tcf(c_860,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,[],[f803]) ).
tcf(c_875,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_in(X1,c_Map_Odom(X0,X4,X3),X4)
| ( hAPP(X0,X1) != c_Option_Ooption_OSome(X2,X3) ) ),
inference(cnf_transformation,[],[f750]) ).
tcf(c_886,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : c_Set_Oimage(c_COMBB(X0,X1,X2,X3,X4),X5,X4,X3) = c_Set_Oimage(X0,c_Set_Oimage(X1,X5,X4,X2),X2,X3),
inference(cnf_transformation,[],[f724]) ).
tcf(c_4055,plain,
~ c_lessequals(c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,v_pna)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Set_Oimage(c_Hoare__Mirabelle_OMGT,c_Set_Oimage(c_Com_Ocom_OBODY,c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Com_Ocom),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),
inference(demodulation,[status(thm)],[c_782,c_886]) ).
tcf(c_14555,plain,
! [X0: $i] :
( c_in(v_pna,c_Map_Odom(c_Com_Obody,X0,tc_Com_Ocom),X0)
| ( hAPP(c_Com_Obody,v_pna) != c_Option_Ooption_OSome(v_ya,tc_Com_Ocom) ) ),
inference(instantiation,[status(thm)],[c_875]) ).
tcf(c_18303,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(hAPP(X1,v_pna),c_Set_Oimage(X1,c_Map_Odom(c_Com_Obody,X0,tc_Com_Ocom),X0,X2),X2)
| ~ c_in(v_pna,c_Map_Odom(c_Com_Obody,X0,tc_Com_Ocom),X0) ),
inference(instantiation,[status(thm)],[c_860]) ).
tcf(c_25611,plain,
( ~ c_in(hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,v_pna)),c_Set_Oimage(c_Hoare__Mirabelle_OMGT,c_Set_Oimage(c_Com_Ocom_OBODY,c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Com_Ocom),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate))
| ~ c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oimage(c_Hoare__Mirabelle_OMGT,c_Set_Oimage(c_Com_Ocom_OBODY,c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Com_Ocom),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)) ),
inference(superposition,[status(thm)],[c_829,c_4055]) ).
tcf(c_25697,plain,
~ c_in(hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,v_pna)),c_Set_Oimage(c_Hoare__Mirabelle_OMGT,c_Set_Oimage(c_Com_Ocom_OBODY,c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Com_Ocom),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),
inference(forward_subsumption_resolution,[status(thm)],[c_25611,c_849]) ).
tcf(c_30651,plain,
( c_in(hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,v_pna)),c_Set_Oimage(c_Hoare__Mirabelle_OMGT,c_Set_Oimage(c_Com_Ocom_OBODY,c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Com_Ocom),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate))
| ~ c_in(hAPP(c_Com_Ocom_OBODY,v_pna),c_Set_Oimage(c_Com_Ocom_OBODY,c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Com_Ocom),tc_Com_Ocom) ),
inference(instantiation,[status(thm)],[c_860]) ).
tcf(c_46879,plain,
( c_in(hAPP(c_Com_Ocom_OBODY,v_pna),c_Set_Oimage(c_Com_Ocom_OBODY,c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Com_Ocom),tc_Com_Ocom)
| ~ c_in(v_pna,c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname) ),
inference(instantiation,[status(thm)],[c_18303]) ).
tcf(c_55732,plain,
( c_in(v_pna,c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname)
| ( hAPP(c_Com_Obody,v_pna) != c_Option_Ooption_OSome(v_ya,tc_Com_Ocom) ) ),
inference(instantiation,[status(thm)],[c_14555]) ).
tcf(c_55733,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_55732,c_46879,c_30651,c_25697,c_781]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV903-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.35 % Computer : n020.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Thu Sep 24 21:17:18 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/0.39 Running first-order theorem proving
% 0.13/0.39 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
% 0.13/0.41
% 0.13/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.41
% 0.13/0.41 % Detected problem language: tptp
% 0.13/0.42 % Proving...
% 16.01/3.28 % SZS status Started for theBenchmark.p
% 16.01/3.28 % SZS status Unsatisfiable for theBenchmark.p
% 16.01/3.28
% 16.01/3.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 16.01/3.28
% 16.01/3.28 % ------ iProver source info
% 16.01/3.28
% 16.01/3.28 % git: date: 2026-07-19 20:42:38 +0200
% 16.01/3.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 16.01/3.28 % git: non_committed_changes: false
% 16.01/3.28
% 16.01/3.28 % ------ Parsing...% successful
% 16.01/3.28
% 16.01/3.28
% 16.01/3.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 16.01/3.28
% 16.01/3.28 % ------ Preprocessing... sup_sim: 20 sf_s rm: 19 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e %
% 16.01/3.28
% 16.01/3.28 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 16.01/3.28
% 16.01/3.28 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 16.01/3.28 % ------ Proving...
% 16.01/3.28 % ------ Problem Properties
% 16.01/3.28
% 16.01/3.28 %
% 16.01/3.28 % clauses 259
% 16.01/3.28 % conjectures 4
% 16.01/3.28 % EPR 2
% 16.01/3.28 % Horn 229
% 16.01/3.28 % unary 97
% 16.01/3.28 % binary 98
% 16.01/3.28 % lits 495
% 16.01/3.28 % lits eq 176
% 16.01/3.28 % fd_pure 0
% 16.01/3.28 % fd_pseudo 0
% 16.01/3.28 % fd_cond 0
% 16.01/3.28 % fd_pseudo_cond 27
% 16.01/3.28 % AC symbols 0
% 16.01/3.28
% 16.01/3.28 % ------ Schedule dynamic 5 is on
% 16.01/3.28
% 16.01/3.28 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 16.01/3.28
% 16.01/3.28
% 16.01/3.28 % ------
% 16.01/3.28 % Current options:
% 16.01/3.28 % ------
% 16.01/3.28
% 16.01/3.28
% 16.01/3.28 %
% 16.01/3.28
% 16.01/3.28 % ------ Proving...
% 16.01/3.28 %
% 16.01/3.28
% 16.01/3.28 % SZS status Unsatisfiable for theBenchmark.p
% 16.01/3.28
% 16.01/3.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 16.01/3.28
% 16.01/3.28
%------------------------------------------------------------------------------