%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP038-3 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n013.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 01:30:00 PM UTC 2026
% Result : Unsatisfiable 1.39s 11.40s
% Output : CNFRefutation 1.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 16 ( 11 unt; 0 def)
% Number of atoms : 32 ( 2 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 29 ( 16 ~; 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 : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 11 ( 0 sgn 11 !; 0 ?; 8 :)
% Comments :
%------------------------------------------------------------------------------
fof(f9,axiom,
! [X2,X0,X1] :
( subgroup_member(X2)
| ~ product(X0,inverse(X1),X2)
| ~ subgroup_member(X1)
| ~ subgroup_member(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP003-2.ax',closure_of_product_and_inverse) ).
fof(f12,axiom,
subgroup_member(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_in_subgroup) ).
fof(f13,axiom,
subgroup_member(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_is_in_subgroup) ).
fof(f14,axiom,
product(a,inverse(b),c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_times_inverse_b_is_c) ).
fof(f15,negated_conjecture,
~ subgroup_member(c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_c_is_in_subgroup) ).
tcf(c_72,plain,
! [X0: $i,X1: $i,X2: $i] :
( subgroup_member(X2)
| ~ subgroup_member(X1)
| ~ subgroup_member(X0)
| ~ product(X0,inverse(X1),X2) ),
inference(cnf_transformation,[],[f9]) ).
tcf(c_75,plain,
subgroup_member(a),
inference(cnf_transformation,[],[f12]) ).
tcf(c_76,plain,
subgroup_member(b),
inference(cnf_transformation,[],[f13]) ).
tcf(c_77,plain,
product(a,inverse(b),c),
inference(cnf_transformation,[],[f14]) ).
tcf(c_78,negated_conjecture,
~ subgroup_member(c),
inference(cnf_transformation,[],[f15]) ).
tcf(c_85,plain,
multiply(a,inverse(b)) = c,
inference(well_definedness,[status(thm)],[c_77]) ).
tcf(c_86,plain,
! [X0: $i,X1: $i,X2: $i] :
( subgroup_member(X2)
| ~ subgroup_member(X1)
| ~ subgroup_member(X0)
| ( multiply(X0,inverse(X1)) != X2 ) ),
inference(well_definedness,[status(thm)],[c_72]) ).
tcf(c_160,plain,
! [X0: $i,X1: $i] :
( subgroup_member(multiply(X0,inverse(X1)))
| ~ subgroup_member(X1)
| ~ subgroup_member(X0) ),
inference(unflattening,[status(thm)],[c_86]) ).
tcf(c_222,negated_conjecture,
~ subgroup_member(c),
inference(demodulation,[status(thm)],[c_78]) ).
tcf(c_350,plain,
( subgroup_member(c)
| ~ subgroup_member(b)
| ~ subgroup_member(a) ),
inference(superposition,[status(thm)],[c_85,c_160]) ).
tcf(c_352,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_350,c_222,c_76,c_75]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP038-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/10.59 % Computer : n013.cluster.edu
% 0.10/10.59 % Model : x86_64 x86_64
% 0.10/10.59 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/10.59 % Memory : 8046.5625MB
% 0.10/10.59 % OS : Linux 6.8.0-71-generic
% 0.10/10.59 % CPULimit : 300
% 0.10/10.59 % WCLimit : 300
% 0.10/10.59 % DateTime : Wed Sep 23 13:20:20 UTC 2026
% 0.10/10.60 % CPUTime :
% 0.10/10.60 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.14/10.63 Running first-order theorem proving
% 0.14/10.63 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
% 0.14/10.64
% 0.14/10.64 % ======== iProver multi-core TPTP/SMT =========
% 0.14/10.64
% 0.14/10.64 % Detected problem language: tptp
% 0.14/10.66 % Proving...
% 1.39/11.40 % SZS status Started for theBenchmark.p
% 1.39/11.40 % SZS status Unsatisfiable for theBenchmark.p
% 1.39/11.40
% 1.39/11.40 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.39/11.40
% 1.39/11.40 % ------ iProver source info
% 1.39/11.40
% 1.39/11.40 % git: date: 2026-07-19 20:42:38 +0200
% 1.39/11.40 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.39/11.40 % git: non_committed_changes: false
% 1.39/11.40
% 1.39/11.40 % ------ Parsing...% successful
% 1.39/11.40
% 1.39/11.40
% 1.39/11.40 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.39/11.40
% 1.39/11.40 % ------ Preprocessing... sup_sim: 5 sf_s rm: 1 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 1.39/11.40
% 1.39/11.40 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.39/11.40
% 1.39/11.40 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.39/11.40 % ------ Proving...
% 1.39/11.40 % ------ Problem Properties
% 1.39/11.40
% 1.39/11.40 %
% 1.39/11.40 % clauses 12
% 1.39/11.40 % conjectures 1
% 1.39/11.40 % EPR 4
% 1.39/11.40 % Horn 12
% 1.39/11.40 % unary 10
% 1.39/11.40 % binary 1
% 1.39/11.40 % lits 15
% 1.39/11.40 % lits eq 6
% 1.39/11.40 % fd_pure 0
% 1.39/11.40 % fd_pseudo 0
% 1.39/11.40 % fd_cond 0
% 1.39/11.40 % fd_pseudo_cond 0
% 1.39/11.40 % AC symbols 0
% 1.39/11.40
% 1.39/11.40 % ------ Schedule dynamic 5 is on
% 1.39/11.40
% 1.39/11.40 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.39/11.40
% 1.39/11.40
% 1.39/11.40 % ------
% 1.39/11.40 % Current options:
% 1.39/11.40 % ------
% 1.39/11.40
% 1.39/11.40
% 1.39/11.40 %
% 1.39/11.40
% 1.39/11.40 % ------ Proving...
% 1.39/11.40 %
% 1.39/11.40
% 1.39/11.40 % SZS status Unsatisfiable for theBenchmark.p
% 1.39/11.40
% 1.39/11.40 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.39/11.40
% 1.39/11.40
%------------------------------------------------------------------------------