%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP033-3 : TPTP v9.3.1. Bugfixed v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n001.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 01:29:59 PM UTC 2026
% Result : Unsatisfiable 2.30s 1.16s
% Output : CNFRefutation 2.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 20 ( 11 unt; 0 def)
% Number of atoms : 40 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 45 ( 25 ~; 20 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 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 : 4 ( 4 usr; 2 con; 0-1 aty)
% Number of variables : 18 ( 0 sgn 18 !; 0 ?; 11 :)
% Comments :
%------------------------------------------------------------------------------
fof(f11,axiom,
! [X0] : product(identity,X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f12,axiom,
! [X0] : product(X0,identity,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_identity) ).
fof(f14,axiom,
! [X0] : product(X0,inverse(X0),identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_inverse) ).
fof(f19,axiom,
! [X2,X0,X1] :
( subgroup_member(X2)
| ~ product(X0,inverse(X1),X2)
| ~ subgroup_member(X1)
| ~ subgroup_member(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',closure_of_product_and_inverse) ).
fof(f20,axiom,
subgroup_member(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_in_subgroup) ).
fof(f22,negated_conjecture,
! [X0] :
( ~ subgroup_member(X0)
| ~ product(X0,j(X0),j(X0))
| ~ product(j(X0),X0,j(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_subgr2) ).
tcf(c_81,plain,
! [X0: $i] : product(identity,X0,X0),
inference(cnf_transformation,[],[f11]) ).
tcf(c_82,plain,
! [X0: $i] : product(X0,identity,X0),
inference(cnf_transformation,[],[f12]) ).
tcf(c_84,plain,
! [X0: $i] : product(X0,inverse(X0),identity),
inference(cnf_transformation,[],[f14]) ).
tcf(c_89,plain,
! [X0: $i,X1: $i,X2: $i] :
( subgroup_member(X2)
| ~ subgroup_member(X1)
| ~ subgroup_member(X0)
| ~ product(X0,inverse(X1),X2) ),
inference(cnf_transformation,[],[f19]) ).
tcf(c_90,plain,
subgroup_member(a),
inference(cnf_transformation,[],[f20]) ).
tcf(c_92,negated_conjecture,
! [X0: $i] :
( ~ subgroup_member(X0)
| ~ product(X0,j(X0),j(X0))
| ~ product(j(X0),X0,j(X0)) ),
inference(cnf_transformation,[],[f22]) ).
tcf(c_202,negated_conjecture,
! [X0: $i] :
( ~ subgroup_member(X0)
| ~ product(X0,j(X0),j(X0))
| ~ product(j(X0),X0,j(X0)) ),
inference(demodulation,[status(thm)],[c_92]) ).
tcf(c_207,plain,
! [X0: $i,X1: $i] :
( subgroup_member(X1)
| ~ subgroup_member(a)
| ~ subgroup_member(X0)
| ~ product(a,inverse(X0),X1) ),
inference(instantiation,[status(thm)],[c_89]) ).
tcf(c_229,plain,
! [X0: $i] :
( subgroup_member(X0)
| ~ subgroup_member(a)
| ~ product(a,inverse(a),X0) ),
inference(instantiation,[status(thm)],[c_207]) ).
tcf(c_230,plain,
( subgroup_member(identity)
| ~ subgroup_member(a)
| ~ product(a,inverse(a),identity) ),
inference(instantiation,[status(thm)],[c_229]) ).
tcf(c_310,plain,
product(a,inverse(a),identity),
inference(instantiation,[status(thm)],[c_84]) ).
tcf(c_387,plain,
( ~ subgroup_member(identity)
| ~ product(identity,j(identity),j(identity)) ),
inference(superposition,[status(thm)],[c_82,c_202]) ).
tcf(c_388,plain,
~ subgroup_member(identity),
inference(forward_subsumption_resolution,[status(thm)],[c_387,c_81]) ).
tcf(c_389,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_388,c_310,c_230,c_90]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP033-3 : TPTP v9.3.1. Bugfixed v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.08/0.35 % Computer : n001.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Wed Sep 23 13:25:19 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.13/0.39 Running first-order theorem proving
% 0.13/0.39 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
% 0.13/0.40
% 0.13/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.40
% 0.13/0.40 % Detected problem language: tptp
% 0.13/0.42 % Proving...
% 2.30/1.16 % SZS status Started for theBenchmark.p
% 2.30/1.16 % SZS status Unsatisfiable for theBenchmark.p
% 2.30/1.16
% 2.30/1.16 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.30/1.16
% 2.30/1.16 % ------ iProver source info
% 2.30/1.16
% 2.30/1.16 % git: date: 2026-07-19 20:42:38 +0200
% 2.30/1.16 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.30/1.16 % git: non_committed_changes: false
% 2.30/1.16
% 2.30/1.16 % ------ Parsing...% successful
% 2.30/1.16
% 2.30/1.16
% 2.30/1.16 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.30/1.16
% 2.30/1.16 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 2.30/1.16
% 2.30/1.16 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.30/1.16 % ------ Proving...
% 2.30/1.16 % ------ Problem Properties
% 2.30/1.16
% 2.30/1.16 %
% 2.30/1.16 % clauses 22
% 2.30/1.16 % conjectures 1
% 2.30/1.16 % EPR 13
% 2.30/1.16 % Horn 22
% 2.30/1.16 % unary 7
% 2.30/1.16 % binary 5
% 2.30/1.16 % lits 50
% 2.30/1.16 % lits eq 0
% 2.30/1.16 % fd_pure 0
% 2.30/1.16 % fd_pseudo 0
% 2.30/1.16 % fd_cond 0
% 2.30/1.16 % fd_pseudo_cond 0
% 2.30/1.16 % AC symbols 0
% 2.30/1.16
% 2.30/1.16 % ------ Schedule dynamic 5 is on
% 2.30/1.16
% 2.30/1.16 % ------ no equalities: superposition off
% 2.30/1.16
% 2.30/1.16 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.30/1.16
% 2.30/1.16
% 2.30/1.16 % ------
% 2.30/1.16 % Current options:
% 2.30/1.16 % ------
% 2.30/1.16
% 2.30/1.16
% 2.30/1.16 %
% 2.30/1.16
% 2.30/1.16 % ------ Proving...
% 2.30/1.16 %
% 2.30/1.16
% 2.30/1.16 % SZS status Unsatisfiable for theBenchmark.p
% 2.30/1.16
% 2.30/1.16 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.30/1.16
% 2.30/1.16
%------------------------------------------------------------------------------