%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV844-1 : 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 : n002.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 03:24:20 PM UTC 2026
% Result : Unsatisfiable 3.76s 1.73s
% Output : CNFRefutation 3.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of formulae : 8 ( 6 unt; 0 def)
% Number of atoms : 10 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 6 ( 4 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 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 : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 9 con; 0-3 aty)
% Number of variables : 2 ( 0 sgn 2 !; 0 ?; 1 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1154,negated_conjecture,
c_Hoare__Mirabelle_Ohoare__derivs(v_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_b),hAPP(v_P_H,v_x)),hAPP(v_c0,v_x)),hAPP(v_Q_H,v_x)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_b),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b)),t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f1156,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_b),hAPP(v_P,v_x)),hAPP(v_c0,v_x)),hAPP(v_Q,v_x)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_b),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b)),t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f1157,negated_conjecture,
! [X0] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_b),hAPP(v_P_H,X0)),hAPP(v_c0,X0)),hAPP(v_Q_H,X0)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_b),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b)),t_b)
| c_Hoare__Mirabelle_Ohoare__derivs(v_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_b),hAPP(v_P,X0)),hAPP(v_c0,X0)),hAPP(v_Q,X0)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_b),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b)),t_b) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).
tcf(c_1967,negated_conjecture,
c_Hoare__Mirabelle_Ohoare__derivs(v_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_b),hAPP(v_P_H,v_x)),hAPP(v_c0,v_x)),hAPP(v_Q_H,v_x)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_b),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b)),t_b),
inference(cnf_transformation,[],[f1154]) ).
tcf(c_1969,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_b),hAPP(v_P,v_x)),hAPP(v_c0,v_x)),hAPP(v_Q,v_x)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_b),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b)),t_b),
inference(cnf_transformation,[],[f1156]) ).
tcf(c_1970,negated_conjecture,
! [X0: $i] :
( c_Hoare__Mirabelle_Ohoare__derivs(v_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_b),hAPP(v_P,X0)),hAPP(v_c0,X0)),hAPP(v_Q,X0)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_b),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b)),t_b)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_b),hAPP(v_P_H,X0)),hAPP(v_c0,X0)),hAPP(v_Q_H,X0)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_b),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b)),t_b) ),
inference(cnf_transformation,[],[f1157]) ).
tcf(c_3394,plain,
c_Hoare__Mirabelle_Ohoare__derivs(v_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_b),hAPP(v_P,v_x)),hAPP(v_c0,v_x)),hAPP(v_Q,v_x)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_b),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b)),t_b),
inference(superposition,[status(thm)],[c_1967,c_1970]) ).
tcf(c_3395,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_1969,c_3394]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV844-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.36 % Computer : n002.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Thu Sep 24 21:12:04 UTC 2026
% 0.02/0.36 % CPUTime :
% 0.02/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.02/0.40 Running first-order theorem proving
% 0.02/0.40 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
% 0.02/0.41
% 0.02/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.02/0.41
% 0.02/0.41 % Detected problem language: tptp
% 0.02/0.42 % Proving...
% 3.76/1.73 % SZS status Started for theBenchmark.p
% 3.76/1.73 % SZS status Unsatisfiable for theBenchmark.p
% 3.76/1.73
% 3.76/1.73 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.76/1.73
% 3.76/1.73 % ------ iProver source info
% 3.76/1.73
% 3.76/1.73 % git: date: 2026-07-19 20:42:38 +0200
% 3.76/1.73 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.76/1.73 % git: non_committed_changes: false
% 3.76/1.73
% 3.76/1.73 % ------ Parsing...% successful
% 3.76/1.73
% 3.76/1.73
% 3.76/1.73 % ------ Clausification by vclausify_rel & Parsing by iProver...
% 3.76/1.73 % ------ Proving...
% 3.76/1.73 % ------ Problem Properties
% 3.76/1.73
% 3.76/1.73 %
% 3.76/1.73 % clauses 938
% 3.76/1.73 % conjectures 7
% 3.76/1.73 % EPR 42
% 3.76/1.73 % Horn 805
% 3.76/1.73 % unary 199
% 3.76/1.73 % binary 339
% 3.76/1.73 % lits 2264
% 3.76/1.73 % lits eq 521
% 3.76/1.73 % fd_pure 0
% 3.76/1.73 % fd_pseudo 0
% 3.76/1.73 % fd_cond 0
% 3.76/1.73 % fd_pseudo_cond 108
% 3.76/1.73 % AC symbols 0
% 3.76/1.73
% 3.76/1.73 % ------ Input Options Time Limit: Unbounded
% 3.76/1.73
% 3.76/1.73
% 3.76/1.73 % ------
% 3.76/1.73 % Current options:
% 3.76/1.73 % ------
% 3.76/1.73
% 3.76/1.73
% 3.76/1.73 %
% 3.76/1.73
% 3.76/1.73 % ------ Proving...
% 3.76/1.73 %
% 3.76/1.73
% 3.76/1.73 % SZS status Unsatisfiable for theBenchmark.p
% 3.76/1.73
% 3.76/1.73 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.76/1.73
% 3.76/1.73
%------------------------------------------------------------------------------