%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV856-1 : 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 : n004.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 3.12s 1.29s
% Output : CNFRefutation 3.12s
% 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 : 9 ( 7 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 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 : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 12 ( 0 sgn 12 !; 0 ?; 7 :)
% Comments :
%------------------------------------------------------------------------------
fof(f652,axiom,
! [X0,X1] : ~ hBOOL(hAPP(hAPP(c_in(X0),X1),c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_emptyE_0) ).
fof(f659,axiom,
! [X2,X0,X1] :
( ~ hBOOL(hAPP(hAPP(c_in(X2),X1),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))))
| ~ hBOOL(hAPP(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_bex__empty_0) ).
fof(f660,negated_conjecture,
hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_xa),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
tcf(c_1208,plain,
! [X0: $i,X1: $i] : ~ hBOOL(hAPP(hAPP(c_in(X0),X1),c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)))),
inference(cnf_transformation,[],[f652]) ).
tcf(c_1214,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ hBOOL(hAPP(X2,X1))
| ~ hBOOL(hAPP(hAPP(c_in(X0),X1),c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)))) ),
inference(cnf_transformation,[],[f659]) ).
tcf(c_1215,negated_conjecture,
hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_xa),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)))),
inference(cnf_transformation,[],[f660]) ).
tcf(c_1661,plain,
! [X0: $i,X1: $i] : ~ hBOOL(hAPP(hAPP(c_in(X0),X1),c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)))),
inference(global_subsumption_just,[status(thm)],[c_1214,c_1208]) ).
tcf(c_1783,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_1215,c_1661]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV856-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.37 % Computer : n004.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Thu Sep 24 21:10:05 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 0.11/0.42
% 0.11/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.42
% 0.11/0.42 % Detected problem language: tptp
% 0.11/0.43 % Proving...
% 3.12/1.29 % SZS status Started for theBenchmark.p
% 3.12/1.29 % SZS status Unsatisfiable for theBenchmark.p
% 3.12/1.29
% 3.12/1.29 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.12/1.29
% 3.12/1.29 % ------ iProver source info
% 3.12/1.29
% 3.12/1.29 % git: date: 2026-07-19 20:42:38 +0200
% 3.12/1.29 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.12/1.29 % git: non_committed_changes: false
% 3.12/1.29
% 3.12/1.29 % ------ Parsing...% successful
% 3.12/1.29
% 3.12/1.29
% 3.12/1.29 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.12/1.29
% 3.12/1.29 % ------ Preprocessing...%
% 3.12/1.29
% 3.12/1.29 % SZS status Unsatisfiable for theBenchmark.p
% 3.12/1.29
% 3.12/1.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.12/1.29
% 3.12/1.29
%------------------------------------------------------------------------------