%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV854-1 : 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 : n005.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 03:24:21 PM UTC 2026
% Result : Unsatisfiable 7.12s 1.75s
% Output : CNFRefutation 7.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 11 ( 6 unt; 0 def)
% Number of atoms : 16 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 13 ( 8 ~; 5 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 1 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 : 15 ( 15 usr; 9 con; 0-4 aty)
% Number of variables : 13 ( 0 sgn 13 !; 0 ?; 7 :)
% Comments :
%------------------------------------------------------------------------------
fof(f856,axiom,
! [X2,X3,X0,X1,X4] :
( ~ c_Hoare__Mirabelle_Otriple__valid(X0,c_Hoare__Mirabelle_Otriple_Otriple(X1,c_Option_Othe(c_Com_Obody(X2),tc_Com_Ocom),X3,X4),X4)
| c_Hoare__Mirabelle_Otriple__valid(hAPP(c_Suc,X0),c_Hoare__Mirabelle_Otriple_Otriple(X1,c_Com_Ocom_OBODY(X2),X3,X4),X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Body__triple__valid__Suc_0) ).
fof(f860,negated_conjecture,
hBOOL(c_in(v_x,v_Procs,tc_Com_Opname)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f861,negated_conjecture,
~ c_Hoare__Mirabelle_Otriple__valid(hAPP(c_Suc,v_na),c_Hoare__Mirabelle_Otriple_Otriple(hAPP(v_P,v_x),c_Com_Ocom_OBODY(v_x),hAPP(v_Q,v_x),t_a),t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f864,negated_conjecture,
! [X0] :
( ~ hBOOL(c_in(X0,v_Procs,tc_Com_Opname))
| c_Hoare__Mirabelle_Otriple__valid(v_na,c_Hoare__Mirabelle_Otriple_Otriple(hAPP(v_P,X0),c_Option_Othe(c_Com_Obody(X0),tc_Com_Ocom),hAPP(v_Q,X0),t_a),t_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
tcf(c_1451,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Hoare__Mirabelle_Otriple__valid(hAPP(c_Suc,X0),c_Hoare__Mirabelle_Otriple_Otriple(X1,c_Com_Ocom_OBODY(X2),X3,X4),X4)
| ~ c_Hoare__Mirabelle_Otriple__valid(X0,c_Hoare__Mirabelle_Otriple_Otriple(X1,c_Option_Othe(c_Com_Obody(X2),tc_Com_Ocom),X3,X4),X4) ),
inference(cnf_transformation,[],[f856]) ).
tcf(c_1454,negated_conjecture,
hBOOL(c_in(v_x,v_Procs,tc_Com_Opname)),
inference(cnf_transformation,[],[f860]) ).
tcf(c_1455,negated_conjecture,
~ c_Hoare__Mirabelle_Otriple__valid(hAPP(c_Suc,v_na),c_Hoare__Mirabelle_Otriple_Otriple(hAPP(v_P,v_x),c_Com_Ocom_OBODY(v_x),hAPP(v_Q,v_x),t_a),t_a),
inference(cnf_transformation,[],[f861]) ).
tcf(c_1458,negated_conjecture,
! [X0: $i] :
( c_Hoare__Mirabelle_Otriple__valid(v_na,c_Hoare__Mirabelle_Otriple_Otriple(hAPP(v_P,X0),c_Option_Othe(c_Com_Obody(X0),tc_Com_Ocom),hAPP(v_Q,X0),t_a),t_a)
| ~ hBOOL(c_in(X0,v_Procs,tc_Com_Opname)) ),
inference(cnf_transformation,[],[f864]) ).
tcf(c_2012,plain,
! [X0: $i] :
( c_Hoare__Mirabelle_Otriple__valid(hAPP(c_Suc,v_na),c_Hoare__Mirabelle_Otriple_Otriple(hAPP(v_P,X0),c_Com_Ocom_OBODY(X0),hAPP(v_Q,X0),t_a),t_a)
| ~ hBOOL(c_in(X0,v_Procs,tc_Com_Opname)) ),
inference(superposition,[status(thm)],[c_1458,c_1451]) ).
tcf(c_4240,plain,
~ hBOOL(c_in(v_x,v_Procs,tc_Com_Opname)),
inference(superposition,[status(thm)],[c_2012,c_1455]) ).
tcf(c_4241,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_1454,c_4240]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV854-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.38 % Computer : n005.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Thu Sep 24 21:10:02 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.39 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.43 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
% 0.11/0.44
% 0.11/0.44 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.44
% 0.11/0.44 % Detected problem language: tptp
% 0.11/0.45 % Proving...
% 7.12/1.75 % SZS status Started for theBenchmark.p
% 7.12/1.75 % SZS status Unsatisfiable for theBenchmark.p
% 7.12/1.75
% 7.12/1.75 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 7.12/1.75
% 7.12/1.75 % ------ iProver source info
% 7.12/1.75
% 7.12/1.75 % git: date: 2026-07-19 20:42:38 +0200
% 7.12/1.75 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 7.12/1.75 % git: non_committed_changes: false
% 7.12/1.75
% 7.12/1.75 % ------ Parsing...% successful
% 7.12/1.75
% 7.12/1.75
% 7.12/1.75 % ------ Clausification by vclausify_rel & Parsing by iProver...
% 7.12/1.75 % ------ Proving...
% 7.12/1.75 % ------ Problem Properties
% 7.12/1.75
% 7.12/1.75 %
% 7.12/1.75 % clauses 672
% 7.12/1.75 % conjectures 5
% 7.12/1.75 % EPR 92
% 7.12/1.75 % Horn 599
% 7.12/1.75 % unary 223
% 7.12/1.75 % binary 244
% 7.12/1.75 % lits 1412
% 7.12/1.75 % lits eq 419
% 7.12/1.75 % fd_pure 0
% 7.12/1.75 % fd_pseudo 0
% 7.12/1.75 % fd_cond 15
% 7.12/1.75 % fd_pseudo_cond 79
% 7.12/1.75 % AC symbols 0
% 7.12/1.75
% 7.12/1.75 % ------ Input Options Time Limit: Unbounded
% 7.12/1.75
% 7.12/1.75
% 7.12/1.75 % ------
% 7.12/1.75 % Current options:
% 7.12/1.75 % ------
% 7.12/1.75
% 7.12/1.75
% 7.12/1.75 %
% 7.12/1.75
% 7.12/1.75 % ------ Proving...
% 7.12/1.75 %
% 7.12/1.75
% 7.12/1.75 % SZS status Unsatisfiable for theBenchmark.p
% 7.12/1.75
% 7.12/1.75 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.12/1.75
% 7.12/1.75
%------------------------------------------------------------------------------