%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : CSR068+3 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n006.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 2.39s 1.29s
% Output : CNFRefutation 2.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 27 ( 11 unt; 0 def)
% Number of atoms : 53 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 50 ( 24 ~; 19 |; 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(f385,axiom,
furpelt(c_theprototypicalfurpelt),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+2.ax',ax2_385) ).
fof(f1607,axiom,
genlmt(c_tptp_member2356_mt,c_tptp_spindleheadmt),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+2.ax',ax2_1607) ).
fof(f2460,axiom,
! [X0] :
( ( furpelt(X0)
& mtvisible(c_tptp_spindleheadmt) )
=> tptpofobject(X0,f_tptpquantityfn_1(n_328)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+2.ax',ax2_2460) ).
fof(f7997,axiom,
! [X0,X1] :
( ( genlmt(X0,X1)
& mtvisible(X0) )
=> mtvisible(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+2.ax',ax2_7997) ).
fof(f8006,conjecture,
( mtvisible(c_tptp_member2356_mt)
=> tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query168) ).
fof(f8007,negated_conjecture,
~ ( mtvisible(c_tptp_member2356_mt)
=> tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328)) ),
inference(negated_conjecture,[status(cth)],[f8006]) ).
fof(f8030,plain,
( mtvisible(c_tptp_member2356_mt)
& ~ tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328)) ),
inference(ennf_transformation,[],[f8007]) ).
fof(f8031,plain,
! [X0,X1] :
( ~ genlmt(X0,X1)
| ~ mtvisible(X0)
| mtvisible(X1) ),
inference(ennf_transformation,[],[f7997]) ).
fof(f8032,plain,
! [X0,X1] :
( ~ genlmt(X0,X1)
| ~ mtvisible(X0)
| mtvisible(X1) ),
inference(flattening,[],[f8031]) ).
fof(f8035,plain,
! [X0] :
( ~ furpelt(X0)
| ~ mtvisible(c_tptp_spindleheadmt)
| tptpofobject(X0,f_tptpquantityfn_1(n_328)) ),
inference(ennf_transformation,[],[f2460]) ).
fof(f8036,plain,
! [X0] :
( ~ furpelt(X0)
| ~ mtvisible(c_tptp_spindleheadmt)
| tptpofobject(X0,f_tptpquantityfn_1(n_328)) ),
inference(flattening,[],[f8035]) ).
fof(f8067,plain,
mtvisible(c_tptp_member2356_mt),
inference(cnf_transformation,[],[f8030]) ).
fof(f8068,plain,
~ tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328)),
inference(cnf_transformation,[],[f8030]) ).
fof(f8069,plain,
! [X0,X1] :
( ~ genlmt(X0,X1)
| ~ mtvisible(X0)
| mtvisible(X1) ),
inference(cnf_transformation,[],[f8032]) ).
fof(f8072,plain,
furpelt(c_theprototypicalfurpelt),
inference(cnf_transformation,[],[f385]) ).
fof(f8074,plain,
! [X0] :
( ~ furpelt(X0)
| ~ mtvisible(c_tptp_spindleheadmt)
| tptpofobject(X0,f_tptpquantityfn_1(n_328)) ),
inference(cnf_transformation,[],[f8036]) ).
fof(f8079,plain,
genlmt(c_tptp_member2356_mt,c_tptp_spindleheadmt),
inference(cnf_transformation,[],[f1607]) ).
tcf(c_49,negated_conjecture,
~ tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328)),
inference(cnf_transformation,[],[f8068]) ).
tcf(c_50,negated_conjecture,
mtvisible(c_tptp_member2356_mt),
inference(cnf_transformation,[],[f8067]) ).
tcf(c_51,plain,
! [X0: $i,X1: $i] :
( mtvisible(X1)
| ~ mtvisible(X0)
| ~ genlmt(X0,X1) ),
inference(cnf_transformation,[],[f8069]) ).
tcf(c_54,plain,
furpelt(c_theprototypicalfurpelt),
inference(cnf_transformation,[],[f8072]) ).
tcf(c_56,plain,
! [X0: $i] :
( tptpofobject(X0,f_tptpquantityfn_1(n_328))
| ~ mtvisible(c_tptp_spindleheadmt)
| ~ furpelt(X0) ),
inference(cnf_transformation,[],[f8074]) ).
tcf(c_61,plain,
genlmt(c_tptp_member2356_mt,c_tptp_spindleheadmt),
inference(cnf_transformation,[],[f8079]) ).
tcf(c_310,plain,
( ~ furpelt(c_theprototypicalfurpelt)
| ~ mtvisible(c_tptp_spindleheadmt) ),
inference(resolution,[status(thm)],[c_49,c_56]) ).
tcf(c_483,plain,
! [X0: $i] :
( mtvisible(X0)
| ~ genlmt(c_tptp_member2356_mt,X0) ),
inference(resolution,[status(thm)],[c_51,c_50]) ).
tcf(c_484,plain,
( mtvisible(c_tptp_spindleheadmt)
| ~ genlmt(c_tptp_member2356_mt,c_tptp_spindleheadmt) ),
inference(instantiation,[status(thm)],[c_483]) ).
tcf(c_485,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_484,c_310,c_61,c_54]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR068+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.38 % Computer : n006.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Fri Sep 25 08:52:41 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 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
% 0.10/0.43
% 0.10/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.43
% 0.10/0.43 % Detected problem language: tptp
% 0.10/0.44 % Proving...
% 2.39/1.29 % SZS status Started for theBenchmark.p
% 2.39/1.29 % SZS status Theorem for theBenchmark.p
% 2.39/1.29
% 2.39/1.29 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.39/1.29
% 2.39/1.29 % ------ iProver source info
% 2.39/1.29
% 2.39/1.29 % git: date: 2026-07-19 20:42:38 +0200
% 2.39/1.29 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.39/1.29 % git: non_committed_changes: false
% 2.39/1.29
% 2.39/1.29 % ------ Parsing...
% 2.39/1.29 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.39/1.29
% 2.39/1.29 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe_e sf_s rm: 12 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 2.39/1.29
% 2.39/1.29 % ------ Preprocessing...% ------ preprocesses with Option_epr_horn
% 2.39/1.29 gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.39/1.29 % ------ Proving...
% 2.39/1.29 % ------ Problem Properties
% 2.39/1.29
% 2.39/1.29 %
% 2.39/1.29 % clauses 11
% 2.39/1.29 % conjectures 1
% 2.39/1.29 % EPR 11
% 2.39/1.29 % Horn 11
% 2.39/1.29 % unary 9
% 2.39/1.29 % binary 0
% 2.39/1.29 % lits 15
% 2.39/1.30 % lits eq 0
% 2.39/1.30 % fd_pure 0
% 2.39/1.30 % fd_pseudo 0
% 2.39/1.30 % fd_cond 0
% 2.39/1.30 % fd_pseudo_cond 0
% 2.39/1.30 % AC symbols 0
% 2.39/1.30
% 2.39/1.30 % ------ Schedule EPR Horn non eq is on
% 2.39/1.30
% 2.39/1.30 % ------ no equalities: superposition off
% 2.39/1.30
% 2.39/1.30 % ------ Option_epr_horn Time Limit: Unbounded
% 2.39/1.30
% 2.39/1.30
% 2.39/1.30 % ------
% 2.39/1.30 % Current options:
% 2.39/1.30 % ------
% 2.39/1.30
% 2.39/1.30
% 2.39/1.30 %
% 2.39/1.30
% 2.39/1.30 % ------ Proving...
% 2.39/1.30 %
% 2.39/1.30
% 2.39/1.30 % SZS status Theorem for theBenchmark.p
% 2.39/1.30
% 2.39/1.30 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.39/1.30
% 2.39/1.30
%------------------------------------------------------------------------------