%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : CSR068+2 : 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 : 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 01:10:26 PM UTC 2026
% Result : Theorem 3.39s 6.08s
% Output : CNFRefutation 3.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 27 ( 11 unt; 0 def)
% Number of atoms : 55 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 54 ( 26 ~; 21 |; 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(f80,axiom,
! [X0] :
( ( furpelt(X0)
& mtvisible(c_tptp_spindleheadmt) )
=> tptpofobject(X0,f_tptpquantityfn_1(n_328)) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_80) ).
fof(f260,axiom,
furpelt(c_theprototypicalfurpelt),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_260) ).
fof(f446,axiom,
genlmt(c_tptp_member2356_mt,c_tptp_spindleheadmt),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_446) ).
fof(f1123,axiom,
! [X0,X1] :
( ( genlmt(X0,X1)
& mtvisible(X0) )
=> mtvisible(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_1123) ).
fof(f1132,conjecture,
( mtvisible(c_tptp_member2356_mt)
=> tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query118) ).
fof(f1133,negated_conjecture,
~ ( mtvisible(c_tptp_member2356_mt)
=> tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328)) ),
inference(negated_conjecture,[status(cth)],[f1132]) ).
fof(f1179,plain,
( mtvisible(c_tptp_member2356_mt)
& ~ tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328)) ),
inference(ennf_transformation,[],[f1133]) ).
fof(f1180,plain,
! [X0,X1] :
( ~ genlmt(X0,X1)
| ~ mtvisible(X0)
| mtvisible(X1) ),
inference(ennf_transformation,[],[f1123]) ).
fof(f1181,plain,
! [X0,X1] :
( ~ genlmt(X0,X1)
| ~ mtvisible(X0)
| mtvisible(X1) ),
inference(flattening,[],[f1180]) ).
fof(f1184,plain,
! [X0] :
( ~ furpelt(X0)
| ~ mtvisible(c_tptp_spindleheadmt)
| tptpofobject(X0,f_tptpquantityfn_1(n_328)) ),
inference(ennf_transformation,[],[f80]) ).
fof(f1185,plain,
! [X0] :
( ~ furpelt(X0)
| ~ mtvisible(c_tptp_spindleheadmt)
| tptpofobject(X0,f_tptpquantityfn_1(n_328)) ),
inference(flattening,[],[f1184]) ).
fof(f1225,plain,
mtvisible(c_tptp_member2356_mt),
inference(cnf_transformation,[],[f1179]) ).
fof(f1226,plain,
~ tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328)),
inference(cnf_transformation,[],[f1179]) ).
fof(f1227,plain,
! [X0,X1] :
( ~ genlmt(X0,X1)
| ~ mtvisible(X0)
| mtvisible(X1) ),
inference(cnf_transformation,[],[f1181]) ).
fof(f1230,plain,
! [X0] :
( ~ furpelt(X0)
| ~ mtvisible(c_tptp_spindleheadmt)
| tptpofobject(X0,f_tptpquantityfn_1(n_328)) ),
inference(cnf_transformation,[],[f1185]) ).
fof(f1231,plain,
furpelt(c_theprototypicalfurpelt),
inference(cnf_transformation,[],[f260]) ).
fof(f1232,plain,
genlmt(c_tptp_member2356_mt,c_tptp_spindleheadmt),
inference(cnf_transformation,[],[f446]) ).
tcf(c_49,negated_conjecture,
~ tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328)),
inference(cnf_transformation,[],[f1226]) ).
tcf(c_50,negated_conjecture,
mtvisible(c_tptp_member2356_mt),
inference(cnf_transformation,[],[f1225]) ).
tcf(c_51,plain,
! [X0: $i,X1: $i] :
( mtvisible(X1)
| ~ mtvisible(X0)
| ~ genlmt(X0,X1) ),
inference(cnf_transformation,[],[f1227]) ).
tcf(c_54,plain,
! [X0: $i] :
( tptpofobject(X0,f_tptpquantityfn_1(n_328))
| ~ mtvisible(c_tptp_spindleheadmt)
| ~ furpelt(X0) ),
inference(cnf_transformation,[],[f1230]) ).
tcf(c_55,plain,
furpelt(c_theprototypicalfurpelt),
inference(cnf_transformation,[],[f1231]) ).
tcf(c_56,plain,
genlmt(c_tptp_member2356_mt,c_tptp_spindleheadmt),
inference(cnf_transformation,[],[f1232]) ).
tcf(c_393,plain,
( ~ furpelt(c_theprototypicalfurpelt)
| ~ mtvisible(c_tptp_spindleheadmt) ),
inference(resolution,[status(thm)],[c_49,c_54]) ).
tcf(c_607,plain,
! [X0: $i] :
( mtvisible(X0)
| ~ mtvisible(c_tptp_member2356_mt)
| ~ genlmt(c_tptp_member2356_mt,X0) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_614,plain,
( mtvisible(c_tptp_spindleheadmt)
| ~ mtvisible(c_tptp_member2356_mt)
| ~ genlmt(c_tptp_member2356_mt,c_tptp_spindleheadmt) ),
inference(instantiation,[status(thm)],[c_607]) ).
tcf(c_615,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_614,c_393,c_56,c_55,c_50]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR068+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/5.38 % Computer : n016.cluster.edu
% 0.11/5.38 % Model : x86_64 x86_64
% 0.11/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.38 % Memory : 8046.5625MB
% 0.11/5.38 % OS : Linux 6.8.0-71-generic
% 0.11/5.38 % CPULimit : 300
% 0.11/5.38 % WCLimit : 300
% 0.11/5.38 % DateTime : Fri Sep 25 08:57:49 UTC 2026
% 0.11/5.38 % CPUTime :
% 0.11/5.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/5.41 Running first-order theorem proving
% 0.14/5.42 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
% 0.14/5.43
% 0.14/5.43 % ======== iProver multi-core TPTP/SMT =========
% 0.14/5.43
% 0.14/5.43 % Detected problem language: tptp
% 0.14/5.44 % Proving...
% 3.39/6.08 % SZS status Started for theBenchmark.p
% 3.39/6.08 % SZS status Theorem for theBenchmark.p
% 3.39/6.08
% 3.39/6.08 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.39/6.08
% 3.39/6.08 % ------ iProver source info
% 3.39/6.08
% 3.39/6.08 % git: date: 2026-07-19 20:42:38 +0200
% 3.39/6.08 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.39/6.08 % git: non_committed_changes: false
% 3.39/6.08
% 3.39/6.08 % ------ Parsing...
% 3.39/6.08 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.39/6.08
% 3.39/6.08 % ------ Preprocessing... sf_s rm: 9 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe_e sf_s rm: 8 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 3.39/6.08
% 3.39/6.08 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.39/6.08 % ------ Proving...
% 3.39/6.08 % ------ Problem Properties
% 3.39/6.08
% 3.39/6.08 %
% 3.39/6.08 % clauses 9
% 3.39/6.08 % conjectures 1
% 3.39/6.08 % EPR 8
% 3.39/6.08 % Horn 9
% 3.39/6.08 % unary 4
% 3.39/6.08 % binary 3
% 3.39/6.08 % lits 16
% 3.39/6.08 % lits eq 0
% 3.39/6.08 % fd_pure 0
% 3.39/6.08 % fd_pseudo 0
% 3.39/6.08 % fd_cond 0
% 3.39/6.08 % fd_pseudo_cond 0
% 3.39/6.08 % AC symbols 0
% 3.39/6.08
% 3.39/6.08 % ------ Schedule dynamic 5 is on
% 3.39/6.08
% 3.39/6.08 % ------ no equalities: superposition off
% 3.39/6.08
% 3.39/6.08 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.39/6.08
% 3.39/6.08
% 3.39/6.08 % ------
% 3.39/6.08 % Current options:
% 3.39/6.08 % ------
% 3.39/6.08
% 3.39/6.08
% 3.39/6.08 %
% 3.39/6.08
% 3.39/6.08 % ------ Proving...
% 3.39/6.08 %
% 3.39/6.08
% 3.39/6.08 % SZS status Theorem for theBenchmark.p
% 3.39/6.08
% 3.39/6.08 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.39/6.09
% 3.39/6.09
%------------------------------------------------------------------------------