%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV905-1 : 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 : n012.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 3.48s 0.98s
% Output : CNFRefutation 3.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of formulae : 20 ( 9 unt; 0 def)
% Number of atoms : 35 ( 6 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 32 ( 17 ~; 15 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 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; 3 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 6 con; 0-3 aty)
% Number of variables : 14 ( 0 sgn 14 !; 0 ?; 8 :)
% Comments :
%------------------------------------------------------------------------------
fof(f442,axiom,
! [X2,X3,X0,X1] :
( ~ hBOOL(c_in(X1,c_Map_Odom(X0,X3,X2),X3))
| hAPP(X0,X1) != c_Option_Ooption_ONone(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_domIff_0) ).
fof(f460,axiom,
! [X0] :
( hAPP(c_Com_Obody,X0) = c_Option_Ooption_ONone(tc_Com_Ocom)
| c_Com_OWT(c_Com_Ocom_OBODY(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WT_OBody_0) ).
fof(f477,axiom,
! [X0] :
( ~ c_Hoare__Mirabelle_Ostate__not__singleton
| ~ c_Com_OWT__bodies
| ~ c_Com_OWT(X0)
| c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(c_Hoare__Mirabelle_OMGT(X0),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_MGF_0) ).
fof(f512,negated_conjecture,
c_Hoare__Mirabelle_Ostate__not__singleton,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f513,negated_conjecture,
c_Com_OWT__bodies,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f515,negated_conjecture,
hBOOL(c_in(v_x,c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f516,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(c_Hoare__Mirabelle_OMGT(c_Com_Ocom_OBODY(v_x)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
tcf(c_894,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ hBOOL(c_in(X1,c_Map_Odom(X0,X3,X2),X3))
| ( hAPP(X0,X1) != c_Option_Ooption_ONone(X2) ) ),
inference(cnf_transformation,[],[f442]) ).
tcf(c_909,plain,
! [X0: $i] :
( c_Com_OWT(c_Com_Ocom_OBODY(X0))
| ( hAPP(c_Com_Obody,X0) = c_Option_Ooption_ONone(tc_Com_Ocom) ) ),
inference(cnf_transformation,[],[f460]) ).
tcf(c_926,plain,
! [X0: $i] :
( c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(c_Hoare__Mirabelle_OMGT(X0),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)
| ~ c_Hoare__Mirabelle_Ostate__not__singleton
| ~ c_Com_OWT__bodies
| ~ c_Com_OWT(X0) ),
inference(cnf_transformation,[],[f477]) ).
tcf(c_956,negated_conjecture,
c_Hoare__Mirabelle_Ostate__not__singleton,
inference(cnf_transformation,[],[f512]) ).
tcf(c_957,negated_conjecture,
c_Com_OWT__bodies,
inference(cnf_transformation,[],[f513]) ).
tcf(c_959,negated_conjecture,
hBOOL(c_in(v_x,c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname)),
inference(cnf_transformation,[],[f515]) ).
tcf(c_960,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(c_Hoare__Mirabelle_OMGT(c_Com_Ocom_OBODY(v_x)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate),
inference(cnf_transformation,[],[f516]) ).
tcf(c_1326,plain,
! [X0: $i] :
( c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(c_Hoare__Mirabelle_OMGT(X0),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)
| ~ c_Com_OWT(X0) ),
inference(global_subsumption_just,[status(thm)],[c_926,c_957,c_956,c_926]) ).
tcf(c_3649,plain,
! [X0: $i] :
( c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(c_Hoare__Mirabelle_OMGT(X0),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)
| ~ c_Com_OWT(X0) ),
inference(prop_impl_just,[status(thm)],[c_1326]) ).
tcf(c_6480,plain,
( ~ hBOOL(c_in(v_x,c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname))
| ( hAPP(c_Com_Obody,v_x) != c_Option_Ooption_ONone(tc_Com_Ocom) ) ),
inference(instantiation,[status(thm)],[c_894]) ).
tcf(c_6798,plain,
( c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(c_Hoare__Mirabelle_OMGT(c_Com_Ocom_OBODY(v_x)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)
| ~ c_Com_OWT(c_Com_Ocom_OBODY(v_x)) ),
inference(instantiation,[status(thm)],[c_3649]) ).
tcf(c_8746,plain,
( c_Com_OWT(c_Com_Ocom_OBODY(v_x))
| ( hAPP(c_Com_Obody,v_x) = c_Option_Ooption_ONone(tc_Com_Ocom) ) ),
inference(instantiation,[status(thm)],[c_909]) ).
tcf(c_8747,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_8746,c_6798,c_6480,c_960,c_959]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SWV905-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.02 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.03/0.31 % Computer : n012.cluster.edu
% 0.03/0.31 % Model : x86_64 x86_64
% 0.03/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.31 % Memory : 8046.5625MB
% 0.03/0.31 % OS : Linux 6.8.0-71-generic
% 0.03/0.31 % CPULimit : 300
% 0.03/0.31 % WCLimit : 300
% 0.03/0.31 % DateTime : Thu Sep 24 21:16:05 UTC 2026
% 0.03/0.31 % CPUTime :
% 0.03/0.31 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.07/0.33 Running first-order theorem proving
% 0.07/0.33 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
% 0.07/0.34
% 0.07/0.34 % ======== iProver multi-core TPTP/SMT =========
% 0.07/0.34
% 0.07/0.34 % Detected problem language: tptp
% 0.07/0.34 % Proving...
% 3.48/0.98 % SZS status Started for theBenchmark.p
% 3.48/0.98 % SZS status Unsatisfiable for theBenchmark.p
% 3.48/0.98
% 3.48/0.98 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.48/0.98
% 3.48/0.98 % ------ iProver source info
% 3.48/0.98
% 3.48/0.98 % git: date: 2026-07-19 20:42:38 +0200
% 3.48/0.98 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.48/0.98 % git: non_committed_changes: false
% 3.48/0.98
% 3.48/0.98 % ------ Parsing...% successful
% 3.48/0.98
% 3.48/0.98
% 3.48/0.98 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.48/0.98
% 3.48/0.98 % ------ Preprocessing... sup_sim: 0 pe_s pe:1:0s pe:2:0s pe:4:0s pe_e sup_sim: 0 pe_s pe_e %
% 3.48/0.98
% 3.48/0.98 % ------ Preprocessing... gs_s sp: 0 0s gs_e scvd_s sp: 6 0s scvd_e snvd_s sp: 0 0s snvd_e %
% 3.48/0.98
% 3.48/0.98 % ------ Preprocessing...
% 3.48/0.98 % ------ Proving...
% 3.48/0.98 % ------ Problem Properties
% 3.48/0.98
% 3.48/0.98 %
% 3.48/0.98 % clauses 420
% 3.48/0.98 % conjectures 3
% 3.48/0.98 % EPR 34
% 3.48/0.98 % Horn 367
% 3.48/0.98 % unary 126
% 3.48/0.98 % binary 199
% 3.48/0.98 % lits 826
% 3.48/0.98 % lits eq 261
% 3.48/0.98 % fd_pure 0
% 3.48/0.98 % fd_pseudo 0
% 3.48/0.98 % fd_cond 4
% 3.48/0.98 % fd_pseudo_cond 33
% 3.48/0.98 % AC symbols 0
% 3.48/0.98
% 3.48/0.98 % ------ Input Options Time Limit: Unbounded
% 3.48/0.98
% 3.48/0.98
% 3.48/0.98 % ------
% 3.48/0.98 % Current options:
% 3.48/0.98 % ------
% 3.48/0.98
% 3.48/0.98
% 3.48/0.98 %
% 3.48/0.98
% 3.48/0.98 % ------ Proving...
% 3.48/0.98 %
% 3.48/0.98
% 3.48/0.98 % SZS status Unsatisfiable for theBenchmark.p
% 3.48/0.98
% 3.48/0.98 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.48/0.98
% 3.48/0.98
%------------------------------------------------------------------------------