%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV898-1 : 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 : n009.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 03:24:25 PM UTC 2026
% Result : Unsatisfiable 8.53s 1.93s
% Output : CNFRefutation 8.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 13 ( 11 unt; 0 def)
% Number of atoms : 15 ( 2 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 10 ( 8 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 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 : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-5 aty)
% Number of variables : 20 ( 0 sgn 20 !; 0 ?; 10 :)
% Comments :
%------------------------------------------------------------------------------
fof(f655,axiom,
c_Finite__Set_Ofinite(c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_finite__dom__body_0) ).
fof(f670,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(f671,axiom,
! [X2,X3,X0,X1] :
( ~ c_Finite__Set_Ofinite(X1,X2)
| c_Finite__Set_Ofinite(c_Set_Oimage(X0,X1,X2,X3),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_finite__imageI_0) ).
fof(f686,negated_conjecture,
~ c_Finite__Set_Ofinite(c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),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_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
tcf(c_678,negated_conjecture,
~ c_Finite__Set_Ofinite(c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),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_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),
inference(cnf_transformation,[],[f686]) ).
tcf(c_728,plain,
c_Finite__Set_Ofinite(c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname),
inference(cnf_transformation,[],[f655]) ).
tcf(c_732,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,[],[f670]) ).
tcf(c_737,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Finite__Set_Ofinite(c_Set_Oimage(X2,X0,X1,X3),X3)
| ~ c_Finite__Set_Ofinite(X0,X1) ),
inference(cnf_transformation,[],[f671]) ).
tcf(c_3125,plain,
~ c_Finite__Set_Ofinite(c_Set_Oimage(c_Hoare__Mirabelle_OMGT,c_Set_Oimage(c_Option_Othe(tc_Com_Ocom),c_Set_Oimage(c_Com_Obody,c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Option_Ooption(tc_Com_Ocom)),tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),
inference(demodulation,[status(thm)],[c_678,c_732]) ).
tcf(c_8385,plain,
~ c_Finite__Set_Ofinite(c_Set_Oimage(c_Option_Othe(tc_Com_Ocom),c_Set_Oimage(c_Com_Obody,c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Option_Ooption(tc_Com_Ocom)),tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom),tc_Com_Ocom),
inference(superposition,[status(thm)],[c_737,c_3125]) ).
tcf(c_8387,plain,
~ c_Finite__Set_Ofinite(c_Set_Oimage(c_Com_Obody,c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Option_Ooption(tc_Com_Ocom)),tc_Option_Ooption(tc_Com_Ocom)),
inference(superposition,[status(thm)],[c_737,c_8385]) ).
tcf(c_8389,plain,
~ c_Finite__Set_Ofinite(c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname),
inference(superposition,[status(thm)],[c_737,c_8387]) ).
tcf(c_8390,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_8389,c_728]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV898-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/0.39 % Computer : n009.cluster.edu
% 0.14/0.39 % Model : x86_64 x86_64
% 0.14/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.39 % Memory : 8046.5625MB
% 0.14/0.39 % OS : Linux 6.8.0-71-generic
% 0.14/0.39 % CPULimit : 300
% 0.14/0.39 % WCLimit : 300
% 0.14/0.40 % DateTime : Thu Sep 24 21:16:14 UTC 2026
% 0.14/0.40 % CPUTime :
% 0.14/0.40 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/0.45 Running first-order theorem proving
% 0.14/0.45 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
% 0.14/0.47
% 0.14/0.47 % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.47
% 0.14/0.47 % Detected problem language: tptp
% 0.21/0.49 % Proving...
% 8.53/1.93 % SZS status Started for theBenchmark.p
% 8.53/1.93 % SZS status Unsatisfiable for theBenchmark.p
% 8.53/1.93
% 8.53/1.93 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 8.53/1.93
% 8.53/1.93 % ------ iProver source info
% 8.53/1.93
% 8.53/1.93 % git: date: 2026-07-19 20:42:38 +0200
% 8.53/1.93 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 8.53/1.93 % git: non_committed_changes: false
% 8.53/1.93
% 8.53/1.93 % ------ Parsing...% successful
% 8.53/1.93
% 8.53/1.93
% 8.53/1.93 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 8.53/1.93
% 8.53/1.93 % ------ Preprocessing... sup_sim: 21 sf_s rm: 16 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e %
% 8.53/1.93
% 8.53/1.93 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 8.53/1.93
% 8.53/1.93 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 8.53/1.93 % ------ Proving...
% 8.53/1.93 % ------ Problem Properties
% 8.53/1.93
% 8.53/1.93 %
% 8.53/1.93 % clauses 207
% 8.53/1.93 % conjectures 0
% 8.53/1.93 % EPR 2
% 8.53/1.93 % Horn 191
% 8.53/1.93 % unary 85
% 8.53/1.93 % binary 76
% 8.53/1.93 % lits 382
% 8.53/1.93 % lits eq 137
% 8.53/1.93 % fd_pure 0
% 8.53/1.93 % fd_pseudo 0
% 8.53/1.93 % fd_cond 0
% 8.53/1.93 % fd_pseudo_cond 22
% 8.53/1.93 % AC symbols 0
% 8.53/1.93
% 8.53/1.93 % ------ Schedule dynamic 5 is on
% 8.53/1.93
% 8.53/1.93 % ------ no conjectures: strip conj schedule
% 8.53/1.93
% 8.53/1.93 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 8.53/1.93
% 8.53/1.93
% 8.53/1.93 % ------
% 8.53/1.93 % Current options:
% 8.53/1.93 % ------
% 8.53/1.93
% 8.53/1.93
% 8.53/1.93 %
% 8.53/1.93
% 8.53/1.93 % ------ Proving...
% 8.53/1.93 %
% 8.53/1.93
% 8.53/1.93 % SZS status Unsatisfiable for theBenchmark.p
% 8.53/1.93
% 8.53/1.93 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 8.53/1.94
% 8.53/1.94
%------------------------------------------------------------------------------