%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP005-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n016.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 01:29:52 PM UTC 2026
% Result : Unsatisfiable 1.67s 1.25s
% Output : CNFRefutation 1.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 13 ( 8 unt; 0 def)
% Number of atoms : 26 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 28 ( 15 ~; 13 |; 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 : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 11 ( 0 sgn 11 !; 0 ?; 7 :)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] : product(X0,inverse(X0),identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_inverse) ).
fof(f5,axiom,
an_element(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_of_set) ).
fof(f6,axiom,
! [X2,X0,X1] :
( an_element(X2)
| ~ product(X0,inverse(X1),X2)
| ~ an_element(X1)
| ~ an_element(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',condition) ).
fof(f9,negated_conjecture,
~ an_element(identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_identity_is_an_element) ).
tcf(c_60,plain,
! [X0: $i] : product(X0,inverse(X0),identity),
inference(cnf_transformation,[],[f3]) ).
tcf(c_62,plain,
an_element(a),
inference(cnf_transformation,[],[f5]) ).
tcf(c_63,plain,
! [X0: $i,X1: $i,X2: $i] :
( an_element(X2)
| ~ an_element(X1)
| ~ an_element(X0)
| ~ product(X0,inverse(X1),X2) ),
inference(cnf_transformation,[],[f6]) ).
tcf(c_66,negated_conjecture,
~ an_element(identity),
inference(cnf_transformation,[],[f9]) ).
tcf(c_107,plain,
! [X0: $i,X1: $i] :
( an_element(X1)
| ~ an_element(a)
| ~ an_element(X0)
| ~ product(a,inverse(X0),X1) ),
inference(instantiation,[status(thm)],[c_63]) ).
tcf(c_108,plain,
! [X0: $i] :
( an_element(X0)
| ~ an_element(a)
| ~ product(a,inverse(a),X0) ),
inference(instantiation,[status(thm)],[c_107]) ).
tcf(c_109,plain,
( an_element(identity)
| ~ an_element(a)
| ~ product(a,inverse(a),identity) ),
inference(instantiation,[status(thm)],[c_108]) ).
tcf(c_111,plain,
product(a,inverse(a),identity),
inference(instantiation,[status(thm)],[c_60]) ).
tcf(c_112,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_111,c_109,c_66,c_62]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP005-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.33 % Computer : n016.cluster.edu
% 0.08/0.33 % Model : x86_64 x86_64
% 0.08/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.33 % Memory : 8046.5625MB
% 0.08/0.33 % OS : Linux 6.8.0-71-generic
% 0.08/0.33 % CPULimit : 300
% 0.08/0.33 % WCLimit : 300
% 0.08/0.33 % DateTime : Wed Sep 23 13:16:55 UTC 2026
% 0.08/0.33 % CPUTime :
% 0.08/0.33 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/0.37 Running first-order theorem proving
% 0.13/0.37 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
% 0.13/0.38
% 0.13/0.38 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.38
% 0.13/0.38 % Detected problem language: tptp
% 0.13/0.39 % Proving...
% 1.67/1.25 % SZS status Started for theBenchmark.p
% 1.67/1.25 % SZS status Unsatisfiable for theBenchmark.p
% 1.67/1.25
% 1.67/1.25 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.67/1.25
% 1.67/1.25 % ------ iProver source info
% 1.67/1.25
% 1.67/1.25 % git: date: 2026-07-19 20:42:38 +0200
% 1.67/1.25 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.67/1.25 % git: non_committed_changes: false
% 1.67/1.25
% 1.67/1.25 % ------ Parsing...% successful
% 1.67/1.25
% 1.67/1.25
% 1.67/1.25 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.67/1.25
% 1.67/1.25 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 1.67/1.25
% 1.67/1.25 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.67/1.25 % ------ Proving...
% 1.67/1.25 % ------ Problem Properties
% 1.67/1.25
% 1.67/1.25 %
% 1.67/1.25 % clauses 9
% 1.67/1.25 % conjectures 1
% 1.67/1.25 % EPR 6
% 1.67/1.25 % Horn 9
% 1.67/1.25 % unary 6
% 1.67/1.25 % binary 0
% 1.67/1.25 % lits 18
% 1.67/1.25 % lits eq 0
% 1.67/1.25 % fd_pure 0
% 1.67/1.25 % fd_pseudo 0
% 1.67/1.25 % fd_cond 0
% 1.67/1.25 % fd_pseudo_cond 0
% 1.67/1.25 % AC symbols 0
% 1.67/1.25
% 1.67/1.25 % ------ Schedule dynamic 5 is on
% 1.67/1.25
% 1.67/1.25 % ------ no equalities: superposition off
% 1.67/1.25
% 1.67/1.25 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.67/1.25
% 1.67/1.25
% 1.67/1.25 % ------
% 1.67/1.25 % Current options:
% 1.67/1.25 % ------
% 1.67/1.25
% 1.67/1.25
% 1.67/1.25 %
% 1.67/1.25
% 1.67/1.25 % ------ Proving...
% 1.67/1.25 %
% 1.67/1.25
% 1.67/1.25 % SZS status Unsatisfiable for theBenchmark.p
% 1.67/1.25
% 1.67/1.25 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.67/1.25
% 1.67/1.25
%------------------------------------------------------------------------------