%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP006-1 : 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 : 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 01:29:52 PM UTC 2026
% Result : Unsatisfiable 0.58s 1.29s
% Output : CNFRefutation 0.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 18 ( 12 unt; 1 def)
% Number of atoms : 32 ( 1 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 25 ( 14 ~; 11 |; 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; 2 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 13 ( 0 sgn 13 !; 0 ?; 8 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : product(identity,X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f3,axiom,
! [X0] : product(X0,inverse(X0),identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_inverse) ).
fof(f5,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(f8,axiom,
an_element(the_element),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_of_set) ).
fof(f9,negated_conjecture,
~ an_element(inverse(the_element)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_b_inverse_is_in_set) ).
tcf(c_58,plain,
! [X0: $i] : product(identity,X0,X0),
inference(cnf_transformation,[],[f1]) ).
tcf(c_60,plain,
! [X0: $i] : product(X0,inverse(X0),identity),
inference(cnf_transformation,[],[f3]) ).
tcf(c_62,plain,
! [X0: $i,X1: $i,X2: $i] :
( an_element(X2)
| ~ an_element(X1)
| ~ an_element(X0)
| ~ product(X0,inverse(X1),X2) ),
inference(cnf_transformation,[],[f5]) ).
tcf(c_65,plain,
an_element(the_element),
inference(cnf_transformation,[],[f8]) ).
tcf(c_66,negated_conjecture,
~ an_element(inverse(the_element)),
inference(cnf_transformation,[],[f9]) ).
tcf(c_106,definition,
iPr_def_10 = inverse(the_element),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_107,negated_conjecture,
~ an_element(iPr_def_10),
inference(demodulation,[status(thm)],[c_66,c_106]) ).
tcf(c_257,plain,
! [X0: $i] :
( an_element(inverse(X0))
| ~ an_element(identity)
| ~ an_element(X0) ),
inference(superposition,[status(thm)],[c_58,c_62]) ).
tcf(c_258,plain,
! [X0: $i] :
( an_element(identity)
| ~ an_element(X0) ),
inference(superposition,[status(thm)],[c_60,c_62]) ).
tcf(c_343,plain,
an_element(identity),
inference(superposition,[status(thm)],[c_65,c_258]) ).
tcf(c_345,plain,
! [X0: $i] :
( an_element(inverse(X0))
| ~ an_element(X0) ),
inference(global_subsumption_just,[status(thm)],[c_257,c_257,c_343]) ).
tcf(c_351,plain,
( an_element(iPr_def_10)
| ~ an_element(the_element) ),
inference(superposition,[status(thm)],[c_106,c_345]) ).
tcf(c_352,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_351,c_107,c_65]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP006-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.36 % Computer : n001.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Wed Sep 23 13:17:49 UTC 2026
% 0.17/0.36 % CPUTime :
% 0.17/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.17/0.40 Running first-order theorem proving
% 0.17/0.40 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
% 0.17/0.42
% 0.17/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.17/0.42
% 0.17/0.42 % Detected problem language: tptp
% 0.17/0.43 % Proving...
% 0.58/1.29 % SZS status Started for theBenchmark.p
% 0.58/1.29 % SZS status Unsatisfiable for theBenchmark.p
% 0.58/1.29
% 0.58/1.29 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.58/1.29
% 0.58/1.29 % ------ iProver source info
% 0.58/1.29
% 0.58/1.29 % git: date: 2026-07-19 20:42:38 +0200
% 0.58/1.29 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.58/1.29 % git: non_committed_changes: false
% 0.58/1.29
% 0.58/1.29 % ------ Parsing...% successful
% 0.58/1.29
% 0.58/1.29
% 0.58/1.29 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 0.58/1.29
% 0.58/1.29 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 0.58/1.29
% 0.58/1.29 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 0.58/1.29
% 0.58/1.29 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 0.58/1.29 % ------ Proving...
% 0.58/1.29 % ------ Problem Properties
% 0.58/1.29
% 0.58/1.29 %
% 0.58/1.29 % clauses 10
% 0.58/1.29 % conjectures 1
% 0.58/1.29 % EPR 6
% 0.58/1.29 % Horn 10
% 0.58/1.29 % unary 7
% 0.58/1.29 % binary 0
% 0.58/1.29 % lits 19
% 0.58/1.29 % lits eq 1
% 0.58/1.29 % fd_pure 0
% 0.58/1.29 % fd_pseudo 0
% 0.58/1.29 % fd_cond 0
% 0.58/1.29 % fd_pseudo_cond 0
% 0.58/1.29 % AC symbols 0
% 0.58/1.29
% 0.58/1.29 % ------ Schedule dynamic 5 is on
% 0.58/1.29
% 0.58/1.29 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.58/1.29
% 0.58/1.29
% 0.58/1.29 % ------
% 0.58/1.29 % Current options:
% 0.58/1.29 % ------
% 0.58/1.29
% 0.58/1.29
% 0.58/1.29 %
% 0.58/1.29
% 0.58/1.29 % ------ Proving...
% 0.58/1.29 %
% 0.58/1.29
% 0.58/1.29 % SZS status Unsatisfiable for theBenchmark.p
% 0.58/1.29
% 0.58/1.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.58/1.29
% 0.58/1.29
%------------------------------------------------------------------------------