%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : CSR068+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n026.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 01:10:26 PM UTC 2026
% Result : Theorem 1.64s 1.27s
% Output : CNFRefutation 1.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 28 ( 13 unt; 0 def)
% Number of atoms : 53 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 48 ( 23 ~; 18 |; 3 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 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 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 16 ( 0 sgn 16 !; 0 ?; 4 :)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
genlmt(c_tptp_member2356_mt,c_tptp_spindleheadmt),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just7) ).
fof(f8,axiom,
furpelt(c_theprototypicalfurpelt),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just8) ).
fof(f9,axiom,
! [X0] :
( ( furpelt(X0)
& mtvisible(c_tptp_spindleheadmt) )
=> tptpofobject(X0,f_tptpquantityfn_1(n_328)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just9) ).
fof(f47,axiom,
! [X0,X1] :
( ( genlmt(X0,X1)
& mtvisible(X0) )
=> mtvisible(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just47) ).
fof(f56,conjecture,
( mtvisible(c_tptp_member2356_mt)
=> tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query68) ).
fof(f57,negated_conjecture,
~ ( mtvisible(c_tptp_member2356_mt)
=> tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328)) ),
inference(negated_conjecture,[status(cth)],[f56]) ).
fof(f78,plain,
! [X0] :
( ~ furpelt(X0)
| ~ mtvisible(c_tptp_spindleheadmt)
| tptpofobject(X0,f_tptpquantityfn_1(n_328)) ),
inference(ennf_transformation,[],[f9]) ).
fof(f79,plain,
! [X0] :
( ~ furpelt(X0)
| ~ mtvisible(c_tptp_spindleheadmt)
| tptpofobject(X0,f_tptpquantityfn_1(n_328)) ),
inference(flattening,[],[f78]) ).
fof(f100,plain,
! [X0,X1] :
( ~ genlmt(X0,X1)
| ~ mtvisible(X0)
| mtvisible(X1) ),
inference(ennf_transformation,[],[f47]) ).
fof(f101,plain,
! [X0,X1] :
( ~ genlmt(X0,X1)
| ~ mtvisible(X0)
| mtvisible(X1) ),
inference(flattening,[],[f100]) ).
fof(f110,plain,
( mtvisible(c_tptp_member2356_mt)
& ~ tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328)) ),
inference(ennf_transformation,[],[f57]) ).
fof(f117,plain,
genlmt(c_tptp_member2356_mt,c_tptp_spindleheadmt),
inference(cnf_transformation,[],[f7]) ).
fof(f118,plain,
furpelt(c_theprototypicalfurpelt),
inference(cnf_transformation,[],[f8]) ).
fof(f119,plain,
! [X0] :
( ~ furpelt(X0)
| ~ mtvisible(c_tptp_spindleheadmt)
| tptpofobject(X0,f_tptpquantityfn_1(n_328)) ),
inference(cnf_transformation,[],[f79]) ).
fof(f137,plain,
! [X0,X1] :
( ~ genlmt(X0,X1)
| ~ mtvisible(X0)
| mtvisible(X1) ),
inference(cnf_transformation,[],[f101]) ).
fof(f146,plain,
mtvisible(c_tptp_member2356_mt),
inference(cnf_transformation,[],[f110]) ).
fof(f147,plain,
~ tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328)),
inference(cnf_transformation,[],[f110]) ).
tcf(c_55,plain,
genlmt(c_tptp_member2356_mt,c_tptp_spindleheadmt),
inference(cnf_transformation,[],[f117]) ).
tcf(c_56,plain,
furpelt(c_theprototypicalfurpelt),
inference(cnf_transformation,[],[f118]) ).
tcf(c_57,plain,
! [X0: $i] :
( tptpofobject(X0,f_tptpquantityfn_1(n_328))
| ~ mtvisible(c_tptp_spindleheadmt)
| ~ furpelt(X0) ),
inference(cnf_transformation,[],[f119]) ).
tcf(c_75,plain,
! [X0: $i,X1: $i] :
( mtvisible(X1)
| ~ mtvisible(X0)
| ~ genlmt(X0,X1) ),
inference(cnf_transformation,[],[f137]) ).
tcf(c_84,negated_conjecture,
~ tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328)),
inference(cnf_transformation,[],[f147]) ).
tcf(c_85,negated_conjecture,
mtvisible(c_tptp_member2356_mt),
inference(cnf_transformation,[],[f146]) ).
tcf(c_301,plain,
( ~ mtvisible(c_tptp_spindleheadmt)
| ~ furpelt(c_theprototypicalfurpelt) ),
inference(resolution,[status(thm)],[c_57,c_84]) ).
tcf(c_390,negated_conjecture,
mtvisible(c_tptp_member2356_mt),
inference(demodulation,[status(thm)],[c_85]) ).
tcf(c_393,plain,
! [X0: $i] :
( mtvisible(X0)
| ~ genlmt(c_tptp_member2356_mt,X0) ),
inference(resolution,[status(thm)],[c_75,c_390]) ).
tcf(c_394,plain,
mtvisible(c_tptp_spindleheadmt),
inference(resolution,[status(thm)],[c_393,c_55]) ).
tcf(c_395,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_394,c_301,c_56]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR068+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.37 % Computer : n026.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Fri Sep 25 08:55:09 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.41 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
% 0.09/0.42
% 0.09/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.42
% 0.09/0.42 % Detected problem language: tptp
% 0.09/0.43 % Proving...
% 1.64/1.27 % SZS status Started for theBenchmark.p
% 1.64/1.27 % SZS status Theorem for theBenchmark.p
% 1.64/1.27
% 1.64/1.27 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.64/1.27
% 1.64/1.27 % ------ iProver source info
% 1.64/1.27
% 1.64/1.27 % git: date: 2026-07-19 20:42:38 +0200
% 1.64/1.27 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.64/1.27 % git: non_committed_changes: false
% 1.64/1.27
% 1.64/1.27 % ------ Parsing...
% 1.64/1.27 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.64/1.27
% 1.64/1.27 % ------ Preprocessing... sf_s rm: 12 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 1.64/1.27
% 1.64/1.27 % ------ Preprocessing...% ------ preprocesses with Option_epr_horn
% 1.64/1.27 gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.64/1.27 % ------ Proving...
% 1.64/1.27 % ------ Problem Properties
% 1.64/1.27
% 1.64/1.27 %
% 1.64/1.27 % clauses 15
% 1.64/1.27 % conjectures 1
% 1.64/1.27 % EPR 15
% 1.64/1.27 % Horn 15
% 1.64/1.27 % unary 10
% 1.64/1.27 % binary 3
% 1.64/1.27 % lits 22
% 1.64/1.27 % lits eq 0
% 1.64/1.27 % fd_pure 0
% 1.64/1.27 % fd_pseudo 0
% 1.64/1.27 % fd_cond 0
% 1.64/1.27 % fd_pseudo_cond 0
% 1.64/1.27 % AC symbols 0
% 1.64/1.27
% 1.64/1.27 % ------ Schedule EPR Horn non eq is on
% 1.64/1.27
% 1.64/1.27 % ------ no equalities: superposition off
% 1.64/1.27
% 1.64/1.27 % ------ Option_epr_horn Time Limit: Unbounded
% 1.64/1.27
% 1.64/1.27
% 1.64/1.27 % ------
% 1.64/1.27 % Current options:
% 1.64/1.27 % ------
% 1.64/1.27
% 1.64/1.27
% 1.64/1.27 %
% 1.64/1.27
% 1.64/1.27 % ------ Proving...
% 1.64/1.27 %
% 1.64/1.27
% 1.64/1.27 % SZS status Theorem for theBenchmark.p
% 1.64/1.27
% 1.64/1.27 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.64/1.28
% 1.64/1.28
%------------------------------------------------------------------------------