%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : CSR044+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 : n004.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 01:10:08 PM UTC 2026
% Result : Theorem 1.66s 1.27s
% Output : CNFRefutation 1.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 11
% Syntax : Number of formulae : 64 ( 13 unt; 0 def)
% Number of atoms : 145 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 154 ( 73 ~; 65 |; 7 &)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 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 : 8 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-4 aty)
% Number of variables : 72 ( 0 sgn 70 !; 2 ?; 22 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2,X3] :
( ( relationallexists(X2,X1,X3)
& isa(X0,X1) )
=> isa(f_relationallexistsfn(X0,X2,X1,X3),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just1) ).
fof(f8,axiom,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just8) ).
fof(f9,axiom,
genlmt(c_tptp_member3633_mt,c_tptp_spindleheadmt),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just9) ).
fof(f10,axiom,
! [X0] :
( ( executionbyfiringsquad(X0)
& mtvisible(c_cyclistsmt) )
=> tptp_9_720(X0,f_relationallexistsfn(X0,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just10) ).
fof(f11,axiom,
( mtvisible(c_cyclistsmt)
=> relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just11) ).
fof(f12,axiom,
executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just12) ).
fof(f31,axiom,
! [X0] :
( isa(X0,c_tptpcol_16_29490)
=> tptpcol_16_29490(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just31) ).
fof(f34,axiom,
! [X0] :
( executionbyfiringsquad(X0)
=> isa(X0,c_executionbyfiringsquad) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just34) ).
fof(f48,axiom,
! [X0,X1] :
( ( genlmt(X0,X1)
& mtvisible(X0) )
=> mtvisible(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just48) ).
fof(f53,axiom,
! [X0,X1,X2] :
( ( genlmt(X1,X2)
& genlmt(X0,X1) )
=> genlmt(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just53) ).
fof(f65,conjecture,
? [X0] :
( mtvisible(c_tptp_member3633_mt)
=> ( tptpcol_16_29490(X0)
& tptp_9_720(c_tptpexecutionbyfiringsquad_90,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query44) ).
fof(f66,negated_conjecture,
~ ? [X0] :
( mtvisible(c_tptp_member3633_mt)
=> ( tptpcol_16_29490(X0)
& tptp_9_720(c_tptpexecutionbyfiringsquad_90,X0) ) ),
inference(negated_conjecture,[status(cth)],[f65]) ).
fof(f91,plain,
! [X0,X1,X2,X3] :
( ~ relationallexists(X2,X1,X3)
| ~ isa(X0,X1)
| isa(f_relationallexistsfn(X0,X2,X1,X3),X3) ),
inference(ennf_transformation,[],[f1]) ).
fof(f92,plain,
! [X0,X1,X2,X3] :
( ~ relationallexists(X2,X1,X3)
| ~ isa(X0,X1)
| isa(f_relationallexistsfn(X0,X2,X1,X3),X3) ),
inference(flattening,[],[f91]) ).
fof(f93,plain,
! [X0] :
( ~ executionbyfiringsquad(X0)
| ~ mtvisible(c_cyclistsmt)
| tptp_9_720(X0,f_relationallexistsfn(X0,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)) ),
inference(ennf_transformation,[],[f10]) ).
fof(f94,plain,
! [X0] :
( ~ executionbyfiringsquad(X0)
| ~ mtvisible(c_cyclistsmt)
| tptp_9_720(X0,f_relationallexistsfn(X0,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)) ),
inference(flattening,[],[f93]) ).
fof(f95,plain,
( ~ mtvisible(c_cyclistsmt)
| relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490) ),
inference(ennf_transformation,[],[f11]) ).
fof(f112,plain,
! [X0] :
( ~ isa(X0,c_tptpcol_16_29490)
| tptpcol_16_29490(X0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f115,plain,
! [X0] :
( ~ executionbyfiringsquad(X0)
| isa(X0,c_executionbyfiringsquad) ),
inference(ennf_transformation,[],[f34]) ).
fof(f119,plain,
! [X0,X1] :
( ~ genlmt(X0,X1)
| ~ mtvisible(X0)
| mtvisible(X1) ),
inference(ennf_transformation,[],[f48]) ).
fof(f120,plain,
! [X0,X1] :
( ~ genlmt(X0,X1)
| ~ mtvisible(X0)
| mtvisible(X1) ),
inference(flattening,[],[f119]) ).
fof(f125,plain,
! [X0,X1,X2] :
( ~ genlmt(X1,X2)
| ~ genlmt(X0,X1)
| genlmt(X0,X2) ),
inference(ennf_transformation,[],[f53]) ).
fof(f126,plain,
! [X0,X1,X2] :
( ~ genlmt(X1,X2)
| ~ genlmt(X0,X1)
| genlmt(X0,X2) ),
inference(flattening,[],[f125]) ).
fof(f129,plain,
! [X0] :
( mtvisible(c_tptp_member3633_mt)
& ( ~ tptpcol_16_29490(X0)
| ~ tptp_9_720(c_tptpexecutionbyfiringsquad_90,X0) ) ),
inference(ennf_transformation,[],[f66]) ).
fof(f130,plain,
! [X2,X3,X0,X1] :
( ~ relationallexists(X2,X1,X3)
| ~ isa(X0,X1)
| isa(f_relationallexistsfn(X0,X2,X1,X3),X3) ),
inference(cnf_transformation,[],[f92]) ).
fof(f136,plain,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
inference(cnf_transformation,[],[f8]) ).
fof(f137,plain,
genlmt(c_tptp_member3633_mt,c_tptp_spindleheadmt),
inference(cnf_transformation,[],[f9]) ).
fof(f138,plain,
! [X0] :
( ~ executionbyfiringsquad(X0)
| ~ mtvisible(c_cyclistsmt)
| tptp_9_720(X0,f_relationallexistsfn(X0,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)) ),
inference(cnf_transformation,[],[f94]) ).
fof(f139,plain,
( ~ mtvisible(c_cyclistsmt)
| relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490) ),
inference(cnf_transformation,[],[f95]) ).
fof(f140,plain,
executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90),
inference(cnf_transformation,[],[f12]) ).
fof(f153,plain,
! [X0] :
( ~ isa(X0,c_tptpcol_16_29490)
| tptpcol_16_29490(X0) ),
inference(cnf_transformation,[],[f112]) ).
fof(f156,plain,
! [X0] :
( ~ executionbyfiringsquad(X0)
| isa(X0,c_executionbyfiringsquad) ),
inference(cnf_transformation,[],[f115]) ).
fof(f161,plain,
! [X0,X1] :
( ~ genlmt(X0,X1)
| ~ mtvisible(X0)
| mtvisible(X1) ),
inference(cnf_transformation,[],[f120]) ).
fof(f166,plain,
! [X2,X0,X1] :
( ~ genlmt(X1,X2)
| ~ genlmt(X0,X1)
| genlmt(X0,X2) ),
inference(cnf_transformation,[],[f126]) ).
fof(f170,plain,
mtvisible(c_tptp_member3633_mt),
inference(cnf_transformation,[],[f129]) ).
fof(f171,plain,
! [X0] :
( ~ tptpcol_16_29490(X0)
| ~ tptp_9_720(c_tptpexecutionbyfiringsquad_90,X0) ),
inference(cnf_transformation,[],[f129]) ).
tcf(c_49,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( isa(f_relationallexistsfn(X3,X0,X1,X2),X2)
| ~ isa(X3,X1)
| ~ relationallexists(X0,X1,X2) ),
inference(cnf_transformation,[],[f130]) ).
tcf(c_55,plain,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
inference(cnf_transformation,[],[f136]) ).
tcf(c_56,plain,
genlmt(c_tptp_member3633_mt,c_tptp_spindleheadmt),
inference(cnf_transformation,[],[f137]) ).
tcf(c_57,plain,
! [X0: $i] :
( tptp_9_720(X0,f_relationallexistsfn(X0,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490))
| ~ mtvisible(c_cyclistsmt)
| ~ executionbyfiringsquad(X0) ),
inference(cnf_transformation,[],[f138]) ).
tcf(c_58,plain,
( relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)
| ~ mtvisible(c_cyclistsmt) ),
inference(cnf_transformation,[],[f139]) ).
tcf(c_59,plain,
executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90),
inference(cnf_transformation,[],[f140]) ).
tcf(c_72,plain,
! [X0: $i] :
( tptpcol_16_29490(X0)
| ~ isa(X0,c_tptpcol_16_29490) ),
inference(cnf_transformation,[],[f153]) ).
tcf(c_75,plain,
! [X0: $i] :
( isa(X0,c_executionbyfiringsquad)
| ~ executionbyfiringsquad(X0) ),
inference(cnf_transformation,[],[f156]) ).
tcf(c_80,plain,
! [X0: $i,X1: $i] :
( mtvisible(X1)
| ~ mtvisible(X0)
| ~ genlmt(X0,X1) ),
inference(cnf_transformation,[],[f161]) ).
tcf(c_85,plain,
! [X0: $i,X1: $i,X2: $i] :
( genlmt(X0,X2)
| ~ genlmt(X1,X2)
| ~ genlmt(X0,X1) ),
inference(cnf_transformation,[],[f166]) ).
tcf(c_89,negated_conjecture,
! [X0: $i] :
( ~ tptpcol_16_29490(X0)
| ~ tptp_9_720(c_tptpexecutionbyfiringsquad_90,X0) ),
inference(cnf_transformation,[],[f171]) ).
tcf(c_90,negated_conjecture,
mtvisible(c_tptp_member3633_mt),
inference(cnf_transformation,[],[f170]) ).
tcf(c_107,plain,
! [X0: $i] :
( ~ isa(X0,c_tptpcol_16_29490)
| tptpcol_16_29490(X0) ),
inference(prop_impl_just,[status(thm)],[c_72]) ).
tcf(c_108,plain,
! [X0: $i] :
( tptpcol_16_29490(X0)
| ~ isa(X0,c_tptpcol_16_29490) ),
inference(renaming,[status(thm)],[c_107]) ).
tcf(c_113,plain,
! [X0: $i] :
( isa(X0,c_executionbyfiringsquad)
| ~ executionbyfiringsquad(X0) ),
inference(prop_impl_just,[status(thm)],[c_75]) ).
tcf(c_119,plain,
( relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)
| ~ mtvisible(c_cyclistsmt) ),
inference(prop_impl_just,[status(thm)],[c_58]) ).
tcf(c_133,plain,
! [X0: $i] :
( ~ tptp_9_720(c_tptpexecutionbyfiringsquad_90,X0)
| ~ tptpcol_16_29490(X0) ),
inference(prop_impl_just,[status(thm)],[c_89]) ).
tcf(c_134,plain,
! [X0: $i] :
( ~ tptpcol_16_29490(X0)
| ~ tptp_9_720(c_tptpexecutionbyfiringsquad_90,X0) ),
inference(renaming,[status(thm)],[c_133]) ).
tcf(c_362,plain,
! [X0: $i] :
( isa(f_relationallexistsfn(X0,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490),c_tptpcol_16_29490)
| ~ mtvisible(c_cyclistsmt)
| ~ isa(X0,c_executionbyfiringsquad) ),
inference(resolution,[status(thm)],[c_49,c_119]) ).
tcf(c_382,plain,
! [X0: $i] :
( ~ tptp_9_720(c_tptpexecutionbyfiringsquad_90,X0)
| ~ isa(X0,c_tptpcol_16_29490) ),
inference(resolution,[status(thm)],[c_108,c_134]) ).
tcf(c_412,plain,
( ~ executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90)
| ~ mtvisible(c_cyclistsmt)
| ~ isa(f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490),c_tptpcol_16_29490) ),
inference(resolution,[status(thm)],[c_57,c_382]) ).
tcf(c_424,plain,
isa(c_tptpexecutionbyfiringsquad_90,c_executionbyfiringsquad),
inference(resolution,[status(thm)],[c_113,c_59]) ).
tcf(c_580,plain,
! [X0: $i] :
( mtvisible(X0)
| ~ mtvisible(c_tptp_member3633_mt)
| ~ genlmt(c_tptp_member3633_mt,X0) ),
inference(instantiation,[status(thm)],[c_80]) ).
tcf(c_581,plain,
( mtvisible(c_cyclistsmt)
| ~ mtvisible(c_tptp_member3633_mt)
| ~ genlmt(c_tptp_member3633_mt,c_cyclistsmt) ),
inference(instantiation,[status(thm)],[c_580]) ).
tcf(c_603,plain,
! [X0: $i] :
( genlmt(c_tptp_member3633_mt,X0)
| ~ genlmt(c_tptp_member3633_mt,c_tptp_spindleheadmt)
| ~ genlmt(c_tptp_spindleheadmt,X0) ),
inference(instantiation,[status(thm)],[c_85]) ).
tcf(c_604,plain,
( genlmt(c_tptp_member3633_mt,c_cyclistsmt)
| ~ genlmt(c_tptp_member3633_mt,c_tptp_spindleheadmt)
| ~ genlmt(c_tptp_spindleheadmt,c_cyclistsmt) ),
inference(instantiation,[status(thm)],[c_603]) ).
tcf(c_605,plain,
( isa(f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490),c_tptpcol_16_29490)
| ~ mtvisible(c_cyclistsmt)
| ~ isa(c_tptpexecutionbyfiringsquad_90,c_executionbyfiringsquad) ),
inference(instantiation,[status(thm)],[c_362]) ).
tcf(c_606,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_605,c_604,c_581,c_424,c_412,c_55,c_56,c_59,c_90]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR044+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.37 % Computer : n004.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Fri Sep 25 08:27:54 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.40 Running first-order theorem proving
% 0.11/0.40 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
% 0.11/0.41
% 0.11/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.41
% 0.11/0.42 % Detected problem language: tptp
% 0.11/0.43 % Proving...
% 1.66/1.27 % SZS status Started for theBenchmark.p
% 1.66/1.27 % SZS status Theorem for theBenchmark.p
% 1.66/1.27
% 1.66/1.27 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.66/1.27
% 1.66/1.27 % ------ iProver source info
% 1.66/1.27
% 1.66/1.27 % git: date: 2026-07-19 20:42:38 +0200
% 1.66/1.27 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.66/1.27 % git: non_committed_changes: false
% 1.66/1.27
% 1.66/1.27 % ------ Parsing...
% 1.66/1.27 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.66/1.27
% 1.66/1.27 % ------ Preprocessing... sf_s rm: 9 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe_e sf_s rm: 1 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 1.66/1.27
% 1.66/1.27 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.66/1.27 % ------ Proving...
% 1.66/1.27 % ------ Problem Properties
% 1.66/1.27
% 1.66/1.27 %
% 1.66/1.27 % clauses 17
% 1.66/1.27 % conjectures 1
% 1.66/1.27 % EPR 15
% 1.66/1.27 % Horn 17
% 1.66/1.27 % unary 10
% 1.66/1.27 % binary 4
% 1.66/1.27 % lits 27
% 1.66/1.27 % lits eq 0
% 1.66/1.27 % fd_pure 0
% 1.66/1.27 % fd_pseudo 0
% 1.66/1.27 % fd_cond 0
% 1.66/1.27 % fd_pseudo_cond 0
% 1.66/1.27 % AC symbols 0
% 1.66/1.27
% 1.66/1.27 % ------ Schedule dynamic 5 is on
% 1.66/1.27
% 1.66/1.27 % ------ no equalities: superposition off
% 1.66/1.27
% 1.66/1.27 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.66/1.27
% 1.66/1.27
% 1.66/1.27 % ------
% 1.66/1.27 % Current options:
% 1.66/1.27 % ------
% 1.66/1.27
% 1.66/1.27
% 1.66/1.27 %
% 1.66/1.27
% 1.66/1.27 % ------ Proving...
% 1.66/1.27 %
% 1.66/1.27
% 1.66/1.27 % SZS status Theorem for theBenchmark.p
% 1.66/1.27
% 1.66/1.27 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.66/1.27
% 1.66/1.27
%------------------------------------------------------------------------------