%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV911-1 : 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 : 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 03:24:27 PM UTC 2026
% Result : Unsatisfiable 5.29s 1.95s
% Output : CNFRefutation 5.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 20 ( 10 unt; 0 def)
% Number of atoms : 32 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 30 ( 18 ~; 12 |; 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 : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 10 con; 0-4 aty)
% Number of variables : 16 ( 0 sgn 16 !; 0 ?; 9 :)
% Comments :
%------------------------------------------------------------------------------
fof(f605,negated_conjecture,
c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(v_P,v_c,v_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f606,negated_conjecture,
c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(v_P_H,v_c,v_Q_H,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f607,negated_conjecture,
( hBOOL(hAPP(hAPP(v_P,v_x),v_xa))
| hBOOL(hAPP(hAPP(v_P_H,v_x),v_xa)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f608,negated_conjecture,
! [X0,X1] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X0,v_c,X1,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)
| ~ hBOOL(hAPP(hAPP(v_Q,v_x),v_xb(X0,X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f609,negated_conjecture,
! [X0,X1] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X0,v_c,X1,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)
| ~ hBOOL(hAPP(hAPP(v_Q_H,v_x),v_xb(X0,X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f610,negated_conjecture,
! [X2,X0,X1] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X2,v_c,X0,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)
| ~ hBOOL(hAPP(hAPP(X2,X1),v_xa))
| hBOOL(hAPP(hAPP(X0,X1),v_xb(X2,X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).
tcf(c_614,negated_conjecture,
c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(v_P,v_c,v_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a),
inference(cnf_transformation,[],[f605]) ).
tcf(c_615,negated_conjecture,
c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(v_P_H,v_c,v_Q_H,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a),
inference(cnf_transformation,[],[f606]) ).
tcf(c_616,negated_conjecture,
( hBOOL(hAPP(hAPP(v_P_H,v_x),v_xa))
| hBOOL(hAPP(hAPP(v_P,v_x),v_xa)) ),
inference(cnf_transformation,[],[f607]) ).
tcf(c_617,negated_conjecture,
! [X0: $i,X1: $i] :
( ~ hBOOL(hAPP(hAPP(v_Q,v_x),v_xb(X0,X1)))
| ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X0,v_c,X1,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) ),
inference(cnf_transformation,[],[f608]) ).
tcf(c_618,negated_conjecture,
! [X0: $i,X1: $i] :
( ~ hBOOL(hAPP(hAPP(v_Q_H,v_x),v_xb(X0,X1)))
| ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X0,v_c,X1,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) ),
inference(cnf_transformation,[],[f609]) ).
tcf(c_619,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( hBOOL(hAPP(hAPP(X1,X2),v_xb(X0,X1)))
| ~ hBOOL(hAPP(hAPP(X0,X2),v_xa))
| ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X0,v_c,X1,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) ),
inference(cnf_transformation,[],[f610]) ).
tcf(c_18617,plain,
~ hBOOL(hAPP(hAPP(v_Q,v_x),v_xb(v_P,v_Q))),
inference(superposition,[status(thm)],[c_614,c_617]) ).
tcf(c_18624,plain,
~ hBOOL(hAPP(hAPP(v_Q_H,v_x),v_xb(v_P_H,v_Q_H))),
inference(superposition,[status(thm)],[c_615,c_618]) ).
tcf(c_18631,plain,
! [X0: $i] :
( hBOOL(hAPP(hAPP(v_Q,X0),v_xb(v_P,v_Q)))
| ~ hBOOL(hAPP(hAPP(v_P,X0),v_xa)) ),
inference(superposition,[status(thm)],[c_614,c_619]) ).
tcf(c_18632,plain,
! [X0: $i] :
( hBOOL(hAPP(hAPP(v_Q_H,X0),v_xb(v_P_H,v_Q_H)))
| ~ hBOOL(hAPP(hAPP(v_P_H,X0),v_xa)) ),
inference(superposition,[status(thm)],[c_615,c_619]) ).
tcf(c_18643,plain,
~ hBOOL(hAPP(hAPP(v_P,v_x),v_xa)),
inference(superposition,[status(thm)],[c_18631,c_18617]) ).
tcf(c_18644,plain,
hBOOL(hAPP(hAPP(v_P_H,v_x),v_xa)),
inference(backward_subsumption_resolution,[status(thm)],[c_616,c_18643]) ).
tcf(c_18649,plain,
~ hBOOL(hAPP(hAPP(v_P_H,v_x),v_xa)),
inference(superposition,[status(thm)],[c_18632,c_18624]) ).
tcf(c_18650,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_18649,c_18644]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWV911-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.15/0.42 % Computer : n019.cluster.edu
% 0.15/0.42 % Model : x86_64 x86_64
% 0.15/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.42 % Memory : 8046.5625MB
% 0.15/0.42 % OS : Linux 6.8.0-71-generic
% 0.15/0.42 % CPULimit : 300
% 0.15/0.42 % WCLimit : 300
% 0.15/0.42 % DateTime : Thu Sep 24 21:17:05 UTC 2026
% 0.15/0.42 % CPUTime :
% 0.15/0.42 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.15/0.48 Running first-order theorem proving
% 0.15/0.48 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
% 0.15/0.50
% 0.15/0.50 % ======== iProver multi-core TPTP/SMT =========
% 0.15/0.50
% 0.15/0.50 % Detected problem language: tptp
% 0.23/0.51 % Proving...
% 5.29/1.95 % SZS status Started for theBenchmark.p
% 5.29/1.95 % SZS status Unsatisfiable for theBenchmark.p
% 5.29/1.95
% 5.29/1.95 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 5.29/1.95
% 5.29/1.95 % ------ iProver source info
% 5.29/1.95
% 5.29/1.95 % git: date: 2026-07-19 20:42:38 +0200
% 5.29/1.95 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 5.29/1.95 % git: non_committed_changes: false
% 5.29/1.95
% 5.29/1.95 % ------ Parsing...% successful
% 5.29/1.95
% 5.29/1.95
% 5.29/1.95 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 5.29/1.95
% 5.29/1.95 % ------ Preprocessing... sup_sim: 9 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e %
% 5.29/1.95
% 5.29/1.95 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 5.29/1.95
% 5.29/1.95 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 5.29/1.95 % ------ Proving...
% 5.29/1.95 % ------ Problem Properties
% 5.29/1.95
% 5.29/1.95 %
% 5.29/1.95 % clauses 267
% 5.29/1.95 % conjectures 6
% 5.29/1.95 % EPR 38
% 5.29/1.95 % Horn 233
% 5.29/1.95 % unary 78
% 5.29/1.95 % binary 98
% 5.29/1.95 % lits 569
% 5.29/1.95 % lits eq 134
% 5.29/1.95 % fd_pure 0
% 5.29/1.95 % fd_pseudo 0
% 5.29/1.95 % fd_cond 0
% 5.29/1.95 % fd_pseudo_cond 28
% 5.29/1.95 % AC symbols 0
% 5.29/1.95
% 5.29/1.95 % ------ Schedule dynamic 5 is on
% 5.29/1.95
% 5.29/1.95 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 5.29/1.95
% 5.29/1.95
% 5.29/1.95 % ------
% 5.29/1.95 % Current options:
% 5.29/1.95 % ------
% 5.29/1.95
% 5.29/1.95
% 5.29/1.95 %
% 5.29/1.95
% 5.29/1.95 % ------ Proving...
% 5.29/1.95 %
% 5.29/1.95
% 5.29/1.95 % SZS status Unsatisfiable for theBenchmark.p
% 5.29/1.95
% 5.29/1.95 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 5.29/1.95
% 5.29/1.95
%------------------------------------------------------------------------------