%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : CSR044+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 : 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 01:10:09 PM UTC 2026
% Result : Theorem 4.49s 1.40s
% Output : CNFRefutation 4.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 10
% Syntax : Number of formulae : 54 ( 12 unt; 0 def)
% Number of atoms : 118 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 125 ( 61 ~; 50 |; 6 &)
% ( 0 <=>; 8 =>; 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 : 51 ( 0 sgn 49 !; 2 ?; 13 :)
% Comments :
%------------------------------------------------------------------------------
fof(f94,axiom,
executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_94) ).
fof(f164,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/Axioms/CSR002+1.ax',ax1_164) ).
fof(f165,axiom,
( mtvisible(c_cyclistsmt)
=> relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_165) ).
fof(f243,axiom,
genlmt(c_tptp_member3633_mt,c_tptp_spindleheadmt),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_243) ).
fof(f254,axiom,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_254) ).
fof(f297,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/Axioms/CSR002+1.ax',ax1_297) ).
fof(f783,axiom,
! [X0] :
( isa(X0,c_tptpcol_16_29490)
=> tptpcol_16_29490(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_783) ).
fof(f919,axiom,
! [X0] :
( executionbyfiringsquad(X0)
=> isa(X0,c_executionbyfiringsquad) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_919) ).
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,
? [X0] :
( mtvisible(c_tptp_member3633_mt)
=> ( tptpcol_16_29490(X0)
& tptp_9_720(c_tptpexecutionbyfiringsquad_90,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query94) ).
fof(f1133,negated_conjecture,
~ ? [X0] :
( mtvisible(c_tptp_member3633_mt)
=> ( tptpcol_16_29490(X0)
& tptp_9_720(c_tptpexecutionbyfiringsquad_90,X0) ) ),
inference(negated_conjecture,[status(cth)],[f1132]) ).
fof(f1305,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,[],[f164]) ).
fof(f1306,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,[],[f1305]) ).
fof(f1307,plain,
( ~ mtvisible(c_cyclistsmt)
| relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490) ),
inference(ennf_transformation,[],[f165]) ).
fof(f1367,plain,
! [X0,X1,X2,X3] :
( ~ relationallexists(X2,X1,X3)
| ~ isa(X0,X1)
| isa(f_relationallexistsfn(X0,X2,X1,X3),X3) ),
inference(ennf_transformation,[],[f297]) ).
fof(f1368,plain,
! [X0,X1,X2,X3] :
( ~ relationallexists(X2,X1,X3)
| ~ isa(X0,X1)
| isa(f_relationallexistsfn(X0,X2,X1,X3),X3) ),
inference(flattening,[],[f1367]) ).
fof(f1706,plain,
! [X0] :
( ~ isa(X0,c_tptpcol_16_29490)
| tptpcol_16_29490(X0) ),
inference(ennf_transformation,[],[f783]) ).
fof(f1818,plain,
! [X0] :
( ~ executionbyfiringsquad(X0)
| isa(X0,c_executionbyfiringsquad) ),
inference(ennf_transformation,[],[f919]) ).
fof(f2012,plain,
! [X0,X1] :
( ~ genlmt(X0,X1)
| ~ mtvisible(X0)
| mtvisible(X1) ),
inference(ennf_transformation,[],[f1123]) ).
fof(f2013,plain,
! [X0,X1] :
( ~ genlmt(X0,X1)
| ~ mtvisible(X0)
| mtvisible(X1) ),
inference(flattening,[],[f2012]) ).
fof(f2022,plain,
! [X0] :
( mtvisible(c_tptp_member3633_mt)
& ( ~ tptpcol_16_29490(X0)
| ~ tptp_9_720(c_tptpexecutionbyfiringsquad_90,X0) ) ),
inference(ennf_transformation,[],[f1133]) ).
fof(f2115,plain,
executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90),
inference(cnf_transformation,[],[f94]) ).
fof(f2185,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,[],[f1306]) ).
fof(f2186,plain,
( ~ mtvisible(c_cyclistsmt)
| relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490) ),
inference(cnf_transformation,[],[f1307]) ).
fof(f2264,plain,
genlmt(c_tptp_member3633_mt,c_tptp_spindleheadmt),
inference(cnf_transformation,[],[f243]) ).
fof(f2275,plain,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
inference(cnf_transformation,[],[f254]) ).
fof(f2318,plain,
! [X2,X3,X0,X1] :
( ~ relationallexists(X2,X1,X3)
| ~ isa(X0,X1)
| isa(f_relationallexistsfn(X0,X2,X1,X3),X3) ),
inference(cnf_transformation,[],[f1368]) ).
fof(f2756,plain,
! [X0] :
( ~ isa(X0,c_tptpcol_16_29490)
| tptpcol_16_29490(X0) ),
inference(cnf_transformation,[],[f1706]) ).
fof(f2871,plain,
! [X0] :
( ~ executionbyfiringsquad(X0)
| isa(X0,c_executionbyfiringsquad) ),
inference(cnf_transformation,[],[f1818]) ).
fof(f3053,plain,
! [X0,X1] :
( ~ genlmt(X0,X1)
| ~ mtvisible(X0)
| mtvisible(X1) ),
inference(cnf_transformation,[],[f2013]) ).
fof(f3062,plain,
mtvisible(c_tptp_member3633_mt),
inference(cnf_transformation,[],[f2022]) ).
fof(f3063,plain,
! [X0] :
( ~ tptpcol_16_29490(X0)
| ~ tptp_9_720(c_tptpexecutionbyfiringsquad_90,X0) ),
inference(cnf_transformation,[],[f2022]) ).
tcf(c_141,plain,
executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90),
inference(cnf_transformation,[],[f2115]) ).
tcf(c_211,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,[],[f2185]) ).
tcf(c_212,plain,
( relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)
| ~ mtvisible(c_cyclistsmt) ),
inference(cnf_transformation,[],[f2186]) ).
tcf(c_290,plain,
genlmt(c_tptp_member3633_mt,c_tptp_spindleheadmt),
inference(cnf_transformation,[],[f2264]) ).
tcf(c_301,plain,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
inference(cnf_transformation,[],[f2275]) ).
tcf(c_344,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,[],[f2318]) ).
tcf(c_782,plain,
! [X0: $i] :
( tptpcol_16_29490(X0)
| ~ isa(X0,c_tptpcol_16_29490) ),
inference(cnf_transformation,[],[f2756]) ).
tcf(c_897,plain,
! [X0: $i] :
( isa(X0,c_executionbyfiringsquad)
| ~ executionbyfiringsquad(X0) ),
inference(cnf_transformation,[],[f2871]) ).
tcf(c_1079,plain,
! [X0: $i,X1: $i] :
( mtvisible(X1)
| ~ mtvisible(X0)
| ~ genlmt(X0,X1) ),
inference(cnf_transformation,[],[f3053]) ).
tcf(c_1088,negated_conjecture,
! [X0: $i] :
( ~ tptpcol_16_29490(X0)
| ~ tptp_9_720(c_tptpexecutionbyfiringsquad_90,X0) ),
inference(cnf_transformation,[],[f3063]) ).
tcf(c_1089,negated_conjecture,
mtvisible(c_tptp_member3633_mt),
inference(cnf_transformation,[],[f3062]) ).
tcf(c_1123,plain,
( ~ executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90)
| ~ mtvisible(c_cyclistsmt)
| ~ tptpcol_16_29490(f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)) ),
inference(superposition,[status(thm)],[c_211,c_1088]) ).
tcf(c_1151,plain,
( mtvisible(c_cyclistsmt)
| ~ mtvisible(c_tptp_spindleheadmt) ),
inference(superposition,[status(thm)],[c_301,c_1079]) ).
tcf(c_1235,plain,
( ~ executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90)
| ~ mtvisible(c_cyclistsmt)
| ~ tptpcol_16_29490(f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)) ),
inference(superposition,[status(thm)],[c_211,c_1088]) ).
tcf(c_1242,plain,
! [X0: $i,X1: $i,X2: $i] :
( tptpcol_16_29490(f_relationallexistsfn(X2,X0,X1,c_tptpcol_16_29490))
| ~ isa(X2,X1)
| ~ relationallexists(X0,X1,c_tptpcol_16_29490) ),
inference(superposition,[status(thm)],[c_344,c_782]) ).
tcf(c_1254,plain,
( ~ tptpcol_16_29490(f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490))
| ~ mtvisible(c_cyclistsmt) ),
inference(global_subsumption_just,[status(thm)],[c_1235,c_1123,c_141]) ).
tcf(c_1255,plain,
( ~ mtvisible(c_cyclistsmt)
| ~ tptpcol_16_29490(f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)) ),
inference(renaming,[status(thm)],[c_1254]) ).
tcf(c_1272,plain,
( ~ mtvisible(c_cyclistsmt)
| ~ isa(c_tptpexecutionbyfiringsquad_90,c_executionbyfiringsquad)
| ~ relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490) ),
inference(superposition,[status(thm)],[c_1242,c_1255]) ).
tcf(c_1273,plain,
( ~ mtvisible(c_cyclistsmt)
| ~ isa(c_tptpexecutionbyfiringsquad_90,c_executionbyfiringsquad) ),
inference(global_subsumption_just,[status(thm)],[c_1272,c_212,c_1272]) ).
tcf(c_1279,plain,
( ~ executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90)
| ~ mtvisible(c_cyclistsmt) ),
inference(superposition,[status(thm)],[c_897,c_1273]) ).
tcf(c_1337,plain,
( mtvisible(c_tptp_spindleheadmt)
| ~ mtvisible(c_tptp_member3633_mt) ),
inference(superposition,[status(thm)],[c_290,c_1079]) ).
tcf(c_1343,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_1337,c_1279,c_1151,c_141,c_1089]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : CSR044+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/0.41 % Computer : n002.cluster.edu
% 0.14/0.41 % Model : x86_64 x86_64
% 0.14/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.41 % Memory : 8046.5625MB
% 0.14/0.41 % OS : Linux 6.8.0-71-generic
% 0.14/0.42 % CPULimit : 300
% 0.14/0.42 % WCLimit : 300
% 0.14/0.42 % DateTime : Fri Sep 25 08:31:36 UTC 2026
% 0.14/0.42 % CPUTime :
% 0.14/0.42 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/0.48 Running first-order theorem proving
% 0.14/0.48 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
% 0.22/0.50
% 0.22/0.50 % ======== iProver multi-core TPTP/SMT =========
% 0.22/0.50
% 0.22/0.50 % Detected problem language: tptp
% 0.22/0.52 % Proving...
% 4.49/1.40 % SZS status Started for theBenchmark.p
% 4.49/1.40 % SZS status Theorem for theBenchmark.p
% 4.49/1.40
% 4.49/1.40 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.49/1.40
% 4.49/1.40 % ------ iProver source info
% 4.49/1.40
% 4.49/1.40 % git: date: 2026-07-19 20:42:38 +0200
% 4.49/1.40 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.49/1.40 % git: non_committed_changes: false
% 4.49/1.40
% 4.49/1.40 % ------ Parsing...
% 4.49/1.40 % ------ Clausification by vclausify_rel & Parsing by iProver...
% 4.49/1.40 % ------ Proving...
% 4.49/1.40 % ------ Problem Properties
% 4.49/1.40
% 4.49/1.40 %
% 4.49/1.40 % clauses 1041
% 4.49/1.40 % conjectures 2
% 4.49/1.40 % EPR 980
% 4.49/1.40 % Horn 1041
% 4.49/1.40 % unary 287
% 4.49/1.40 % binary 710
% 4.49/1.40 % lits 1839
% 4.49/1.40 % lits eq 0
% 4.49/1.40 % fd_pure 0
% 4.49/1.40 % fd_pseudo 0
% 4.49/1.40 % fd_cond 0
% 4.49/1.40 % fd_pseudo_cond 0
% 4.49/1.40 % AC symbols 0
% 4.49/1.40
% 4.49/1.40 % ------ Input Options Time Limit: Unbounded
% 4.49/1.40
% 4.49/1.40
% 4.49/1.40 % ------
% 4.49/1.40 % Current options:
% 4.49/1.40 % ------
% 4.49/1.40
% 4.49/1.40
% 4.49/1.40 %
% 4.49/1.40
% 4.49/1.40 % ------ Proving...
% 4.49/1.40 %
% 4.49/1.40
% 4.49/1.40 % ------ Proving...
% 4.49/1.40 %
% 4.49/1.40
% 4.49/1.40 % ------ Proving...
% 4.49/1.40 %
% 4.49/1.40
% 4.49/1.40 % ------ Proving...
% 4.49/1.40 %
% 4.49/1.40
% 4.49/1.40 % SZS status Theorem for theBenchmark.p
% 4.49/1.40
% 4.49/1.40 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.49/1.40
% 4.49/1.40
%------------------------------------------------------------------------------