%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : CSR030+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 : n002.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 01:09:58 PM UTC 2026
% Result : Theorem 2.43s 1.42s
% Output : CNFRefutation 2.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of formulae : 41 ( 15 unt; 0 def)
% Number of atoms : 73 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 63 ( 31 ~; 24 |; 2 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 9 ( 8 usr; 4 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 40 ( 0 sgn 38 !; 2 ?; 16 :)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
! [X0,X1] :
( tptptypes_6_388(X0,X1)
=> tptptypes_5_387(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just7) ).
fof(f9,axiom,
! [X0,X1] :
( tptptypes_7_389(X0,X1)
=> tptptypes_6_388(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just9) ).
fof(f11,axiom,
genlmt(c_tptp_member3393_mt,c_tptp_spindleheadmt),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just11) ).
fof(f12,axiom,
( mtvisible(c_tptp_spindleheadmt)
=> tptptypes_7_389(c_pushingwithopenhand,c_tptpcol_16_4451) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just12) ).
fof(f49,axiom,
! [X0,X1] :
( ( genlmt(X0,X1)
& mtvisible(X0) )
=> mtvisible(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just49) ).
fof(f58,conjecture,
? [X0] :
( mtvisible(c_tptp_member3393_mt)
=> tptptypes_5_387(X0,c_pushingwithopenhand) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query30) ).
fof(f59,negated_conjecture,
~ ? [X0] :
( mtvisible(c_tptp_member3393_mt)
=> tptptypes_5_387(X0,c_pushingwithopenhand) ),
inference(negated_conjecture,[status(cth)],[f58]) ).
fof(f77,plain,
! [X0,X1] :
( ~ tptptypes_6_388(X0,X1)
| tptptypes_5_387(X0,X1) ),
inference(ennf_transformation,[],[f7]) ).
fof(f78,plain,
! [X0,X1] :
( ~ tptptypes_7_389(X0,X1)
| tptptypes_6_388(X1,X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f79,plain,
( ~ mtvisible(c_tptp_spindleheadmt)
| tptptypes_7_389(c_pushingwithopenhand,c_tptpcol_16_4451) ),
inference(ennf_transformation,[],[f12]) ).
fof(f102,plain,
! [X0,X1] :
( ~ genlmt(X0,X1)
| ~ mtvisible(X0)
| mtvisible(X1) ),
inference(ennf_transformation,[],[f49]) ).
fof(f103,plain,
! [X0,X1] :
( ~ genlmt(X0,X1)
| ~ mtvisible(X0)
| mtvisible(X1) ),
inference(flattening,[],[f102]) ).
fof(f112,plain,
! [X0] :
( mtvisible(c_tptp_member3393_mt)
& ~ tptptypes_5_387(X0,c_pushingwithopenhand) ),
inference(ennf_transformation,[],[f59]) ).
fof(f119,plain,
! [X0,X1] :
( ~ tptptypes_6_388(X0,X1)
| tptptypes_5_387(X0,X1) ),
inference(cnf_transformation,[],[f77]) ).
fof(f121,plain,
! [X0,X1] :
( ~ tptptypes_7_389(X0,X1)
| tptptypes_6_388(X1,X0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f123,plain,
genlmt(c_tptp_member3393_mt,c_tptp_spindleheadmt),
inference(cnf_transformation,[],[f11]) ).
fof(f124,plain,
( ~ mtvisible(c_tptp_spindleheadmt)
| tptptypes_7_389(c_pushingwithopenhand,c_tptpcol_16_4451) ),
inference(cnf_transformation,[],[f79]) ).
fof(f144,plain,
! [X0,X1] :
( ~ genlmt(X0,X1)
| ~ mtvisible(X0)
| mtvisible(X1) ),
inference(cnf_transformation,[],[f103]) ).
fof(f153,plain,
mtvisible(c_tptp_member3393_mt),
inference(cnf_transformation,[],[f112]) ).
fof(f154,plain,
! [X0] : ~ tptptypes_5_387(X0,c_pushingwithopenhand),
inference(cnf_transformation,[],[f112]) ).
tcf(c_55,plain,
! [X0: $i,X1: $i] :
( tptptypes_5_387(X0,X1)
| ~ tptptypes_6_388(X0,X1) ),
inference(cnf_transformation,[],[f119]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i] :
( tptptypes_6_388(X1,X0)
| ~ tptptypes_7_389(X0,X1) ),
inference(cnf_transformation,[],[f121]) ).
tcf(c_59,plain,
genlmt(c_tptp_member3393_mt,c_tptp_spindleheadmt),
inference(cnf_transformation,[],[f123]) ).
tcf(c_60,plain,
( tptptypes_7_389(c_pushingwithopenhand,c_tptpcol_16_4451)
| ~ mtvisible(c_tptp_spindleheadmt) ),
inference(cnf_transformation,[],[f124]) ).
tcf(c_80,plain,
! [X0: $i,X1: $i] :
( mtvisible(X1)
| ~ mtvisible(X0)
| ~ genlmt(X0,X1) ),
inference(cnf_transformation,[],[f144]) ).
tcf(c_89,negated_conjecture,
! [X0: $i] : ~ tptptypes_5_387(X0,c_pushingwithopenhand),
inference(cnf_transformation,[],[f154]) ).
tcf(c_90,negated_conjecture,
mtvisible(c_tptp_member3393_mt),
inference(cnf_transformation,[],[f153]) ).
tcf(c_221,negated_conjecture,
mtvisible(c_tptp_member3393_mt),
inference(subtyping,[status(esa)],[c_90]) ).
tcf(c_222,negated_conjecture,
! [X0_iProver_tptptypes_7_389_2: iProver_tptptypes_7_389_2] : ~ tptptypes_5_387(X0_iProver_tptptypes_7_389_2,c_pushingwithopenhand),
inference(subtyping,[status(esa)],[c_89]) ).
tcf(c_228,plain,
! [X0_iProver_mtvisible_1: iProver_mtvisible_1,X1_iProver_mtvisible_1: iProver_mtvisible_1] :
( mtvisible(X1_iProver_mtvisible_1)
| ~ mtvisible(X0_iProver_mtvisible_1)
| ~ genlmt(X0_iProver_mtvisible_1,X1_iProver_mtvisible_1) ),
inference(subtyping,[status(esa)],[c_80]) ).
tcf(c_231,plain,
genlmt(c_tptp_member3393_mt,c_tptp_spindleheadmt),
inference(subtyping,[status(esa)],[c_59]) ).
tcf(c_233,plain,
! [X0_iProver_tptptypes_7_389_2: iProver_tptptypes_7_389_2,X0_iProver_tptptypes_5_387_2: iProver_tptptypes_5_387_2] :
( tptptypes_6_388(X0_iProver_tptptypes_7_389_2,X0_iProver_tptptypes_5_387_2)
| ~ tptptypes_7_389(X0_iProver_tptptypes_5_387_2,X0_iProver_tptptypes_7_389_2) ),
inference(subtyping,[status(esa)],[c_57]) ).
tcf(c_234,plain,
! [X0_iProver_tptptypes_7_389_2: iProver_tptptypes_7_389_2,X0_iProver_tptptypes_5_387_2: iProver_tptptypes_5_387_2] :
( tptptypes_5_387(X0_iProver_tptptypes_7_389_2,X0_iProver_tptptypes_5_387_2)
| ~ tptptypes_6_388(X0_iProver_tptptypes_7_389_2,X0_iProver_tptptypes_5_387_2) ),
inference(subtyping,[status(esa)],[c_55]) ).
tcf(c_239,negated_conjecture,
! [X0_iProver_tptptypes_7_389_2: iProver_tptptypes_7_389_2] : ~ tptptypes_5_387(X0_iProver_tptptypes_7_389_2,c_pushingwithopenhand),
inference(demodulation,[status(thm)],[c_222]) ).
tcf(c_240,negated_conjecture,
mtvisible(c_tptp_member3393_mt),
inference(demodulation,[status(thm)],[c_221]) ).
tcf(c_241,plain,
~ tptptypes_5_387(c_tptpcol_16_4451,c_pushingwithopenhand),
inference(instantiation,[status(thm)],[c_239]) ).
tcf(c_244,plain,
( tptptypes_6_388(c_tptpcol_16_4451,c_pushingwithopenhand)
| ~ tptptypes_7_389(c_pushingwithopenhand,c_tptpcol_16_4451) ),
inference(instantiation,[status(thm)],[c_233]) ).
tcf(c_245,plain,
( tptptypes_5_387(c_tptpcol_16_4451,c_pushingwithopenhand)
| ~ tptptypes_6_388(c_tptpcol_16_4451,c_pushingwithopenhand) ),
inference(instantiation,[status(thm)],[c_234]) ).
tcf(c_250,plain,
! [X0_iProver_mtvisible_1: iProver_mtvisible_1] :
( mtvisible(X0_iProver_mtvisible_1)
| ~ genlmt(c_tptp_member3393_mt,X0_iProver_mtvisible_1) ),
inference(resolution,[status(thm)],[c_228,c_240]) ).
tcf(c_251,plain,
mtvisible(c_tptp_spindleheadmt),
inference(resolution,[status(thm)],[c_250,c_231]) ).
tcf(c_252,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_251,c_245,c_244,c_241,c_60]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR030+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.36 % Computer : n002.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Fri Sep 25 08:16:38 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/0.42 Running first-order theorem proving
% 0.14/0.42 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
% 0.14/0.44
% 0.14/0.44 % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.44
% 0.14/0.44 % Detected problem language: tptp
% 0.14/0.46 % Proving...
% 2.43/1.42 % SZS status Started for theBenchmark.p
% 2.43/1.42 % SZS status Theorem for theBenchmark.p
% 2.43/1.42
% 2.43/1.42 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.43/1.42
% 2.43/1.42 % ------ iProver source info
% 2.43/1.42
% 2.43/1.42 % git: date: 2026-07-19 20:42:38 +0200
% 2.43/1.42 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.43/1.42 % git: non_committed_changes: false
% 2.43/1.42
% 2.43/1.42 % ------ Parsing...
% 2.43/1.42 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_horn
% 2.43/1.42 %
% 2.43/1.42
% 2.43/1.42 % ------ Preprocessing... sf_s rm: 18 0s sf_e sf_s rm: 0 0s sf_e %
% 2.43/1.42
% 2.43/1.42 % ------ Preprocessing...% ------ preprocesses with Option_epr_horn
% 2.43/1.42 gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.43/1.42 % ------ Proving...
% 2.43/1.42 % ------ Problem Properties
% 2.43/1.42
% 2.43/1.42 %
% 2.43/1.42 % clauses 18
% 2.43/1.42 % conjectures 2
% 2.43/1.42 % EPR 18
% 2.43/1.42 % Horn 18
% 2.43/1.42 % unary 10
% 2.43/1.42 % binary 6
% 2.43/1.42 % lits 28
% 2.43/1.42 % lits eq 0
% 2.43/1.42 % fd_pure 0
% 2.43/1.42 % fd_pseudo 0
% 2.43/1.42 % fd_cond 0
% 2.43/1.42 % fd_pseudo_cond 0
% 2.43/1.42 % AC symbols 0
% 2.43/1.42
% 2.43/1.42 % ------ Schedule EPR Horn non eq is on
% 2.43/1.42
% 2.43/1.42 % ------ no equalities: superposition off
% 2.43/1.42
% 2.43/1.42 % ------ Option_epr_horn Time Limit: Unbounded
% 2.43/1.42
% 2.43/1.42
% 2.43/1.42 % ------
% 2.43/1.42 % Current options:
% 2.43/1.42 % ------
% 2.43/1.42
% 2.43/1.42
% 2.43/1.42 %
% 2.43/1.42
% 2.43/1.42 % ------ Proving...
% 2.43/1.42 %
% 2.43/1.42
% 2.43/1.42 % SZS status Theorem for theBenchmark.p
% 2.43/1.42
% 2.43/1.42 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.43/1.43
% 2.43/1.43
%------------------------------------------------------------------------------