%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV857-1 : 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 : n018.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 4.86s 1.54s
% Output : CNFRefutation 4.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 13 ( 7 unt; 0 def)
% Number of atoms : 21 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 18 ( 10 ~; 8 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 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 : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 11 ( 0 sgn 11 !; 0 ?; 6 :)
% Comments :
%------------------------------------------------------------------------------
fof(f624,axiom,
! [X2,X3,X0,X1] :
( ~ c_lessequals(X3,X2,tc_fun(X0,tc_bool))
| ~ hBOOL(hAPP(hAPP(c_in(X0),X1),X3))
| hBOOL(hAPP(hAPP(c_in(X0),X1),X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_set__mp_0) ).
fof(f635,negated_conjecture,
c_lessequals(v_tsa,v_Ga,tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f636,negated_conjecture,
hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_xa),v_tsa)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f637,negated_conjecture,
~ c_Hoare__Mirabelle_Otriple__valid(v_x,v_xa,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f638,negated_conjecture,
! [X0] :
( ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X0),v_Ga))
| c_Hoare__Mirabelle_Otriple__valid(v_x,X0,t_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
tcf(c_1139,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( hBOOL(hAPP(hAPP(c_in(X0),X1),X3))
| ~ c_lessequals(X2,X3,tc_fun(X0,tc_bool))
| ~ hBOOL(hAPP(hAPP(c_in(X0),X1),X2)) ),
inference(cnf_transformation,[],[f624]) ).
tcf(c_1150,negated_conjecture,
c_lessequals(v_tsa,v_Ga,tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),
inference(cnf_transformation,[],[f635]) ).
tcf(c_1151,negated_conjecture,
hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_xa),v_tsa)),
inference(cnf_transformation,[],[f636]) ).
tcf(c_1152,negated_conjecture,
~ c_Hoare__Mirabelle_Otriple__valid(v_x,v_xa,t_a),
inference(cnf_transformation,[],[f637]) ).
tcf(c_1153,negated_conjecture,
! [X0: $i] :
( c_Hoare__Mirabelle_Otriple__valid(v_x,X0,t_a)
| ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X0),v_Ga)) ),
inference(cnf_transformation,[],[f638]) ).
tcf(c_1381,plain,
! [X0: $i] :
( hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_xa),X0))
| ~ c_lessequals(v_tsa,X0,tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)) ),
inference(superposition,[status(thm)],[c_1151,c_1139]) ).
tcf(c_1459,plain,
( c_Hoare__Mirabelle_Otriple__valid(v_x,v_xa,t_a)
| ~ c_lessequals(v_tsa,v_Ga,tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)) ),
inference(superposition,[status(thm)],[c_1381,c_1153]) ).
tcf(c_1460,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_1459,c_1150,c_1152]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWV857-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.16/0.43 % Computer : n018.cluster.edu
% 0.16/0.43 % Model : x86_64 x86_64
% 0.16/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.43 % Memory : 8046.5625MB
% 0.16/0.43 % OS : Linux 6.8.0-71-generic
% 0.16/0.43 % CPULimit : 300
% 0.16/0.43 % WCLimit : 300
% 0.16/0.43 % DateTime : Thu Sep 24 21:13:04 UTC 2026
% 0.16/0.44 % CPUTime :
% 0.16/0.44 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.16/0.50 Running first-order theorem proving
% 0.16/0.50 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
% 0.25/0.51
% 0.25/0.51 % ======== iProver multi-core TPTP/SMT =========
% 0.25/0.51
% 0.25/0.51 % Detected problem language: tptp
% 0.25/0.53 % Proving...
% 4.86/1.54 % SZS status Started for theBenchmark.p
% 4.86/1.54 % SZS status Unsatisfiable for theBenchmark.p
% 4.86/1.54
% 4.86/1.54 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.86/1.54
% 4.86/1.54 % ------ iProver source info
% 4.86/1.54
% 4.86/1.54 % git: date: 2026-07-19 20:42:38 +0200
% 4.86/1.54 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.86/1.54 % git: non_committed_changes: false
% 4.86/1.54
% 4.86/1.54 % ------ Parsing...% successful
% 4.86/1.54
% 4.86/1.54
% 4.86/1.54 % ------ Clausification by vclausify_rel & Parsing by iProver...
% 4.86/1.54 % ------ Proving...
% 4.86/1.54 % ------ Problem Properties
% 4.86/1.54
% 4.86/1.54 %
% 4.86/1.54 % clauses 557
% 4.86/1.54 % conjectures 4
% 4.86/1.54 % EPR 71
% 4.86/1.54 % Horn 494
% 4.86/1.54 % unary 151
% 4.86/1.54 % binary 191
% 4.86/1.54 % lits 1238
% 4.86/1.54 % lits eq 294
% 4.86/1.54 % fd_pure 0
% 4.86/1.54 % fd_pseudo 0
% 4.86/1.54 % fd_cond 0
% 4.86/1.54 % fd_pseudo_cond 48
% 4.86/1.54 % AC symbols 0
% 4.86/1.54
% 4.86/1.54 % ------ Input Options Time Limit: Unbounded
% 4.86/1.54
% 4.86/1.54
% 4.86/1.54 % ------
% 4.86/1.54 % Current options:
% 4.86/1.54 % ------
% 4.86/1.54
% 4.86/1.54
% 4.86/1.54 %
% 4.86/1.54
% 4.86/1.54 % ------ Proving...
% 4.86/1.54 %
% 4.86/1.54
% 4.86/1.54 % SZS status Unsatisfiable for theBenchmark.p
% 4.86/1.54
% 4.86/1.54 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.86/1.54
% 4.86/1.54
%------------------------------------------------------------------------------