%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : CSR062+1 : 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 : n008.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 01:10:21 PM UTC 2026
% Result : Theorem 0.44s 1.29s
% Output : CNFRefutation 0.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of formulae : 53 ( 20 unt; 0 def)
% Number of atoms : 92 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 76 ( 37 ~; 30 |; 2 &)
% ( 0 <=>; 7 =>; 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 : 10 ( 9 usr; 4 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 51 ( 0 sgn 49 !; 2 ?; 21 :)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
! [X0,X1] :
( tptptypes_6_388(X0,X1)
=> tptptypes_5_387(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just7) ).
fof(f9,axiom,
! [X0,X1] :
( tptptypes_7_389(X0,X1)
=> tptptypes_6_388(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just9) ).
fof(f11,axiom,
! [X0,X1] :
( tptptypes_8_390(X0,X1)
=> tptptypes_7_389(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just11) ).
fof(f12,axiom,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just12) ).
fof(f13,axiom,
genlmt(c_tptp_member3205_mt,c_tptp_spindleheadmt),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just13) ).
fof(f14,axiom,
( mtvisible(c_cyclistsmt)
=> tptptypes_8_390(c_pushingwithfingers,c_tptpcol_15_4027) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just14) ).
fof(f53,axiom,
! [X0,X1] :
( ( genlmt(X0,X1)
& mtvisible(X0) )
=> mtvisible(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just53) ).
fof(f62,conjecture,
? [X0] :
( mtvisible(c_tptp_member3205_mt)
=> tptptypes_5_387(X0,c_pushingwithfingers) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query62) ).
fof(f63,negated_conjecture,
~ ? [X0] :
( mtvisible(c_tptp_member3205_mt)
=> tptptypes_5_387(X0,c_pushingwithfingers) ),
inference(negated_conjecture,[status(cth)],[f62]) ).
fof(f83,plain,
! [X0,X1] :
( ~ tptptypes_6_388(X0,X1)
| tptptypes_5_387(X0,X1) ),
inference(ennf_transformation,[],[f7]) ).
fof(f84,plain,
! [X0,X1] :
( ~ tptptypes_7_389(X0,X1)
| tptptypes_6_388(X1,X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f85,plain,
! [X0,X1] :
( ~ tptptypes_8_390(X0,X1)
| tptptypes_7_389(X0,X1) ),
inference(ennf_transformation,[],[f11]) ).
fof(f86,plain,
( ~ mtvisible(c_cyclistsmt)
| tptptypes_8_390(c_pushingwithfingers,c_tptpcol_15_4027) ),
inference(ennf_transformation,[],[f14]) ).
fof(f109,plain,
! [X0,X1] :
( ~ genlmt(X0,X1)
| ~ mtvisible(X0)
| mtvisible(X1) ),
inference(ennf_transformation,[],[f53]) ).
fof(f110,plain,
! [X0,X1] :
( ~ genlmt(X0,X1)
| ~ mtvisible(X0)
| mtvisible(X1) ),
inference(flattening,[],[f109]) ).
fof(f119,plain,
! [X0] :
( mtvisible(c_tptp_member3205_mt)
& ~ tptptypes_5_387(X0,c_pushingwithfingers) ),
inference(ennf_transformation,[],[f63]) ).
fof(f126,plain,
! [X0,X1] :
( ~ tptptypes_6_388(X0,X1)
| tptptypes_5_387(X0,X1) ),
inference(cnf_transformation,[],[f83]) ).
fof(f128,plain,
! [X0,X1] :
( ~ tptptypes_7_389(X0,X1)
| tptptypes_6_388(X1,X0) ),
inference(cnf_transformation,[],[f84]) ).
fof(f130,plain,
! [X0,X1] :
( ~ tptptypes_8_390(X0,X1)
| tptptypes_7_389(X0,X1) ),
inference(cnf_transformation,[],[f85]) ).
fof(f131,plain,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
inference(cnf_transformation,[],[f12]) ).
fof(f132,plain,
genlmt(c_tptp_member3205_mt,c_tptp_spindleheadmt),
inference(cnf_transformation,[],[f13]) ).
fof(f133,plain,
( ~ mtvisible(c_cyclistsmt)
| tptptypes_8_390(c_pushingwithfingers,c_tptpcol_15_4027) ),
inference(cnf_transformation,[],[f86]) ).
fof(f153,plain,
! [X0,X1] :
( ~ genlmt(X0,X1)
| ~ mtvisible(X0)
| mtvisible(X1) ),
inference(cnf_transformation,[],[f110]) ).
fof(f162,plain,
mtvisible(c_tptp_member3205_mt),
inference(cnf_transformation,[],[f119]) ).
fof(f163,plain,
! [X0] : ~ tptptypes_5_387(X0,c_pushingwithfingers),
inference(cnf_transformation,[],[f119]) ).
tcf(c_55,plain,
! [X0: $i,X1: $i] :
( tptptypes_5_387(X0,X1)
| ~ tptptypes_6_388(X0,X1) ),
inference(cnf_transformation,[],[f126]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i] :
( tptptypes_6_388(X1,X0)
| ~ tptptypes_7_389(X0,X1) ),
inference(cnf_transformation,[],[f128]) ).
tcf(c_59,plain,
! [X0: $i,X1: $i] :
( tptptypes_7_389(X0,X1)
| ~ tptptypes_8_390(X0,X1) ),
inference(cnf_transformation,[],[f130]) ).
tcf(c_60,plain,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
inference(cnf_transformation,[],[f131]) ).
tcf(c_61,plain,
genlmt(c_tptp_member3205_mt,c_tptp_spindleheadmt),
inference(cnf_transformation,[],[f132]) ).
tcf(c_62,plain,
( tptptypes_8_390(c_pushingwithfingers,c_tptpcol_15_4027)
| ~ mtvisible(c_cyclistsmt) ),
inference(cnf_transformation,[],[f133]) ).
tcf(c_82,plain,
! [X0: $i,X1: $i] :
( mtvisible(X1)
| ~ mtvisible(X0)
| ~ genlmt(X0,X1) ),
inference(cnf_transformation,[],[f153]) ).
tcf(c_91,negated_conjecture,
! [X0: $i] : ~ tptptypes_5_387(X0,c_pushingwithfingers),
inference(cnf_transformation,[],[f163]) ).
tcf(c_92,negated_conjecture,
mtvisible(c_tptp_member3205_mt),
inference(cnf_transformation,[],[f162]) ).
tcf(c_231,negated_conjecture,
mtvisible(c_tptp_member3205_mt),
inference(subtyping,[status(esa)],[c_92]) ).
tcf(c_232,negated_conjecture,
! [X0_iProver_tptptypes_8_390_2: iProver_tptptypes_8_390_2] : ~ tptptypes_5_387(X0_iProver_tptptypes_8_390_2,c_pushingwithfingers),
inference(subtyping,[status(esa)],[c_91]) ).
tcf(c_238,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_82]) ).
tcf(c_241,plain,
genlmt(c_tptp_member3205_mt,c_tptp_spindleheadmt),
inference(subtyping,[status(esa)],[c_61]) ).
tcf(c_242,plain,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
inference(subtyping,[status(esa)],[c_60]) ).
tcf(c_243,plain,
! [X0_iProver_tptptypes_8_390_2: iProver_tptptypes_8_390_2,X0_iProver_tptptypes_5_387_2: iProver_tptptypes_5_387_2] :
( tptptypes_7_389(X0_iProver_tptptypes_5_387_2,X0_iProver_tptptypes_8_390_2)
| ~ tptptypes_8_390(X0_iProver_tptptypes_5_387_2,X0_iProver_tptptypes_8_390_2) ),
inference(subtyping,[status(esa)],[c_59]) ).
tcf(c_244,plain,
! [X0_iProver_tptptypes_8_390_2: iProver_tptptypes_8_390_2,X0_iProver_tptptypes_5_387_2: iProver_tptptypes_5_387_2] :
( tptptypes_6_388(X0_iProver_tptptypes_8_390_2,X0_iProver_tptptypes_5_387_2)
| ~ tptptypes_7_389(X0_iProver_tptptypes_5_387_2,X0_iProver_tptptypes_8_390_2) ),
inference(subtyping,[status(esa)],[c_57]) ).
tcf(c_245,plain,
! [X0_iProver_tptptypes_8_390_2: iProver_tptptypes_8_390_2,X0_iProver_tptptypes_5_387_2: iProver_tptptypes_5_387_2] :
( tptptypes_5_387(X0_iProver_tptptypes_8_390_2,X0_iProver_tptptypes_5_387_2)
| ~ tptptypes_6_388(X0_iProver_tptptypes_8_390_2,X0_iProver_tptptypes_5_387_2) ),
inference(subtyping,[status(esa)],[c_55]) ).
tcf(c_250,negated_conjecture,
! [X0_iProver_tptptypes_8_390_2: iProver_tptptypes_8_390_2] : ~ tptptypes_5_387(X0_iProver_tptptypes_8_390_2,c_pushingwithfingers),
inference(demodulation,[status(thm)],[c_232]) ).
tcf(c_251,negated_conjecture,
mtvisible(c_tptp_member3205_mt),
inference(demodulation,[status(thm)],[c_231]) ).
tcf(c_252,plain,
~ tptptypes_5_387(c_tptpcol_15_4027,c_pushingwithfingers),
inference(instantiation,[status(thm)],[c_250]) ).
tcf(c_255,plain,
( tptptypes_7_389(c_pushingwithfingers,c_tptpcol_15_4027)
| ~ tptptypes_8_390(c_pushingwithfingers,c_tptpcol_15_4027) ),
inference(instantiation,[status(thm)],[c_243]) ).
tcf(c_256,plain,
( tptptypes_6_388(c_tptpcol_15_4027,c_pushingwithfingers)
| ~ tptptypes_7_389(c_pushingwithfingers,c_tptpcol_15_4027) ),
inference(instantiation,[status(thm)],[c_244]) ).
tcf(c_257,plain,
( tptptypes_5_387(c_tptpcol_15_4027,c_pushingwithfingers)
| ~ tptptypes_6_388(c_tptpcol_15_4027,c_pushingwithfingers) ),
inference(instantiation,[status(thm)],[c_245]) ).
tcf(c_262,plain,
! [X0_iProver_mtvisible_1: iProver_mtvisible_1] :
( mtvisible(X0_iProver_mtvisible_1)
| ~ genlmt(c_tptp_member3205_mt,X0_iProver_mtvisible_1) ),
inference(resolution,[status(thm)],[c_238,c_251]) ).
tcf(c_263,plain,
mtvisible(c_tptp_spindleheadmt),
inference(resolution,[status(thm)],[c_262,c_241]) ).
tcf(c_264,plain,
! [X0_iProver_mtvisible_1: iProver_mtvisible_1] :
( mtvisible(X0_iProver_mtvisible_1)
| ~ genlmt(c_tptp_spindleheadmt,X0_iProver_mtvisible_1) ),
inference(resolution,[status(thm)],[c_263,c_238]) ).
tcf(c_265,plain,
mtvisible(c_cyclistsmt),
inference(resolution,[status(thm)],[c_264,c_242]) ).
tcf(c_266,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_265,c_257,c_256,c_255,c_252,c_62]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR062+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.38 % Computer : n008.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Fri Sep 25 08:47:24 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.15/0.42 Running first-order theorem proving
% 0.15/0.42 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
% 0.15/0.43
% 0.15/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.15/0.43
% 0.15/0.43 % Detected problem language: tptp
% 0.15/0.44 % Proving...
% 0.44/1.29 % SZS status Started for theBenchmark.p
% 0.44/1.29 % SZS status Theorem for theBenchmark.p
% 0.44/1.29
% 0.44/1.29 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.44/1.29
% 0.44/1.29 % ------ iProver source info
% 0.44/1.29
% 0.44/1.29 % git: date: 2026-07-19 20:42:38 +0200
% 0.44/1.29 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.44/1.29 % git: non_committed_changes: false
% 0.44/1.29
% 0.44/1.29 % ------ Parsing...
% 0.44/1.29 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_horn
% 0.44/1.29 %
% 0.44/1.29
% 0.44/1.29 % ------ Preprocessing... sf_s rm: 19 0s sf_e sf_s rm: 0 0s sf_e %
% 0.44/1.29
% 0.44/1.29 % ------ Preprocessing...% ------ preprocesses with Option_epr_horn
% 0.44/1.29 gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.44/1.29 % ------ Proving...
% 0.44/1.29 % ------ Problem Properties
% 0.44/1.29
% 0.44/1.29 %
% 0.44/1.29 % clauses 19
% 0.44/1.29 % conjectures 2
% 0.44/1.29 % EPR 19
% 0.44/1.29 % Horn 19
% 0.44/1.29 % unary 10
% 0.44/1.29 % binary 7
% 0.44/1.29 % lits 30
% 0.44/1.29 % lits eq 0
% 0.44/1.29 % fd_pure 0
% 0.44/1.29 % fd_pseudo 0
% 0.44/1.29 % fd_cond 0
% 0.44/1.29 % fd_pseudo_cond 0
% 0.44/1.29 % AC symbols 0
% 0.44/1.29
% 0.44/1.29 % ------ Schedule EPR Horn non eq is on
% 0.44/1.29
% 0.44/1.29 % ------ no equalities: superposition off
% 0.44/1.29
% 0.44/1.29 % ------ Option_epr_horn Time Limit: Unbounded
% 0.44/1.29
% 0.44/1.29
% 0.44/1.29 % ------
% 0.44/1.29 % Current options:
% 0.44/1.29 % ------
% 0.44/1.29
% 0.44/1.29
% 0.44/1.29 %
% 0.44/1.29
% 0.44/1.29 % ------ Proving...
% 0.44/1.29 %
% 0.44/1.29
% 0.44/1.29 % SZS status Theorem for theBenchmark.p
% 0.44/1.29
% 0.44/1.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.44/1.30
% 0.44/1.30
%------------------------------------------------------------------------------