%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : CSR019+1 : TPTP v9.3.1. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n014.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 01:09:54 PM UTC 2026
% Result : Theorem 3.93s 1.43s
% Output : CNFRefutation 3.93s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f70ERROR: Could not build tree for root c_6581ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f10,axiom,
! [X0,X1,X2] :
( ( terminates(X0,X2,X1)
& happens(X0,X1) )
=> ~ holdsAt(X2,plus(X1,n1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR001+0.ax',happens_terminates_not_holds) ).
fof(f25,axiom,
plus(n1,n1) = n2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',plus1_1) ).
fof(f48,conjecture,
~ holdsAt(forwards,n2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_forwards_2) ).
fof(f49,negated_conjecture,
~ ~ holdsAt(forwards,n2),
inference(negated_conjecture,[status(cth)],[f48]) ).
fof(f50,plain,
holdsAt(forwards,n2),
inference(flattening,[],[f49]) ).
fof(f52,plain,
! [X0,X1,X2] :
( ~ terminates(X0,X2,X1)
| ~ happens(X0,X1)
| ~ holdsAt(X2,plus(X1,n1)) ),
inference(ennf_transformation,[],[f10]) ).
fof(f53,plain,
! [X0,X1,X2] :
( ~ terminates(X0,X2,X1)
| ~ happens(X0,X1)
| ~ holdsAt(X2,plus(X1,n1)) ),
inference(flattening,[],[f52]) ).
fof(f78,plain,
! [X0,X1,X2] :
( ( ~ sP5(X0,X1,X2)
| sP0(X0,X1,X2)
| sP1(X0,X1,X2)
| sP2(X0,X1,X2)
| sP3(X0,X1,X2)
| sP4(X0,X1,X2)
| ( ~ happens(pull,X2)
& X1 = backwards
& X0 = push ) )
& ( ( ~ sP0(X0,X1,X2)
& ~ sP1(X0,X1,X2)
& ~ sP2(X0,X1,X2)
& ~ sP3(X0,X1,X2)
& ~ sP4(X0,X1,X2)
& ( happens(pull,X2)
| backwards != X1
| push != X0 ) )
| sP5(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f69]) ).
fof(f79,plain,
! [X0,X1,X2] :
( ( ~ sP5(X0,X1,X2)
| sP0(X0,X1,X2)
| sP1(X0,X1,X2)
| sP2(X0,X1,X2)
| sP3(X0,X1,X2)
| sP4(X0,X1,X2)
| ( ~ happens(pull,X2)
& X1 = backwards
& X0 = push ) )
& ( ( ~ sP0(X0,X1,X2)
& ~ sP1(X0,X1,X2)
& ~ sP2(X0,X1,X2)
& ~ sP3(X0,X1,X2)
& ~ sP4(X0,X1,X2)
& ( happens(pull,X2)
| backwards != X1
| push != X0 ) )
| sP5(X0,X1,X2) ) ),
inference(flattening,[],[f78]) ).
fof(f80,plain,
! [X0,X1,X2] :
( ( ~ sP4(X0,X1,X2)
| ( ~ happens(push,X2)
& X1 = forwards
& X0 = pull ) )
& ( happens(push,X2)
| forwards != X1
| pull != X0
| sP4(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f68]) ).
fof(f81,plain,
! [X0,X1,X2] :
( ( ~ sP4(X0,X1,X2)
| ( ~ happens(push,X2)
& X1 = forwards
& X0 = pull ) )
& ( happens(push,X2)
| forwards != X1
| pull != X0
| sP4(X0,X1,X2) ) ),
inference(flattening,[],[f80]) ).
fof(f82,plain,
! [X0,X1,X2] :
( ( ~ sP3(X0,X1,X2)
| ( happens(push,X2)
& X1 = forwards
& X0 = pull ) )
& ( ~ happens(push,X2)
| forwards != X1
| pull != X0
| sP3(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f67]) ).
fof(f83,plain,
! [X0,X1,X2] :
( ( ~ sP3(X0,X1,X2)
| ( happens(push,X2)
& X1 = forwards
& X0 = pull ) )
& ( ~ happens(push,X2)
| forwards != X1
| pull != X0
| sP3(X0,X1,X2) ) ),
inference(flattening,[],[f82]) ).
fof(f90,plain,
! [X0,X1,X2] :
( ( ~ terminates(X0,X1,X2)
| sP5(X0,X1,X2) )
& ( ~ sP5(X0,X1,X2)
| terminates(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f70]) ).
fof(f106,plain,
! [X0,X1] :
( ( ~ sP9(X0,X1)
| sP8(X0,X1)
| ( X1 = n2
& X0 = pull )
| ( X1 = n1
& X0 = pull )
| ( X1 = n0
& X0 = push ) )
& ( ( ~ sP8(X0,X1)
& ( n2 != X1
| pull != X0 )
& ( n1 != X1
| pull != X0 )
& ( n0 != X1
| push != X0 ) )
| sP9(X0,X1) ) ),
inference(nnf_transformation,[],[f75]) ).
fof(f107,plain,
! [X0,X1] :
( ( ~ sP9(X0,X1)
| sP8(X0,X1)
| ( X1 = n2
& X0 = pull )
| ( X1 = n1
& X0 = pull )
| ( X1 = n0
& X0 = push ) )
& ( ( ~ sP8(X0,X1)
& ( n2 != X1
| pull != X0 )
& ( n1 != X1
| pull != X0 )
& ( n0 != X1
| push != X0 ) )
| sP9(X0,X1) ) ),
inference(flattening,[],[f106]) ).
fof(f110,plain,
! [X0,X1] :
( ( ~ happens(X0,X1)
| sP9(X0,X1) )
& ( ~ sP9(X0,X1)
| happens(X0,X1) ) ),
inference(nnf_transformation,[],[f76]) ).
fof(f115,plain,
holdsAt(forwards,n2),
inference(cnf_transformation,[],[f50]) ).
fof(f130,plain,
! [X2,X0,X1] :
( ~ sP3(X0,X1,X2)
| sP5(X0,X1,X2) ),
inference(cnf_transformation,[],[f79]) ).
fof(f131,plain,
! [X2,X0,X1] :
( ~ sP4(X0,X1,X2)
| sP5(X0,X1,X2) ),
inference(cnf_transformation,[],[f79]) ).
fof(f136,plain,
! [X2,X0,X1] :
( happens(push,X2)
| forwards != X1
| pull != X0
| sP4(X0,X1,X2) ),
inference(cnf_transformation,[],[f81]) ).
fof(f140,plain,
! [X2,X0,X1] :
( ~ happens(push,X2)
| forwards != X1
| pull != X0
| sP3(X0,X1,X2) ),
inference(cnf_transformation,[],[f83]) ).
fof(f154,plain,
! [X2,X0,X1] :
( ~ sP5(X0,X1,X2)
| terminates(X0,X1,X2) ),
inference(cnf_transformation,[],[f90]) ).
fof(f169,plain,
! [X2,X0,X1] :
( ~ terminates(X0,X2,X1)
| ~ happens(X0,X1)
| ~ holdsAt(X2,plus(X1,n1)) ),
inference(cnf_transformation,[],[f53]) ).
fof(f185,plain,
n2 = plus(n1,n1),
inference(cnf_transformation,[],[f25]) ).
fof(f204,plain,
! [X0,X1] :
( n1 != X1
| pull != X0
| sP9(X0,X1) ),
inference(cnf_transformation,[],[f107]) ).
fof(f210,plain,
! [X0,X1] :
( ~ sP9(X0,X1)
| happens(X0,X1) ),
inference(cnf_transformation,[],[f110]) ).
fof(f214,plain,
! [X2,X1] :
( happens(push,X2)
| forwards != X1
| sP4(pull,X1,X2) ),
inference(equality_resolution,[],[f136]) ).
fof(f215,plain,
! [X2] :
( happens(push,X2)
| sP4(pull,forwards,X2) ),
inference(equality_resolution,[],[f214]) ).
fof(f216,plain,
! [X2,X1] :
( ~ happens(push,X2)
| forwards != X1
| sP3(pull,X1,X2) ),
inference(equality_resolution,[],[f140]) ).
fof(f217,plain,
! [X2] :
( ~ happens(push,X2)
| sP3(pull,forwards,X2) ),
inference(equality_resolution,[],[f216]) ).
fof(f234,plain,
! [X1] :
( n1 != X1
| sP9(pull,X1) ),
inference(equality_resolution,[],[f204]) ).
fof(f235,plain,
sP9(pull,n1),
inference(equality_resolution,[],[f234]) ).
tcf(c_53,negated_conjecture,
holdsAt(forwards,n2),
inference(cnf_transformation,[],[f115]) ).
tcf(c_63,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP5(X0,X1,X2)
| ~ sP4(X0,X1,X2) ),
inference(cnf_transformation,[],[f131]) ).
tcf(c_64,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP5(X0,X1,X2)
| ~ sP3(X0,X1,X2) ),
inference(cnf_transformation,[],[f130]) ).
tcf(c_71,plain,
! [X0: $i] :
( happens(push,X0)
| sP4(pull,forwards,X0) ),
inference(cnf_transformation,[],[f215]) ).
tcf(c_75,plain,
! [X0: $i] :
( sP3(pull,forwards,X0)
| ~ happens(push,X0) ),
inference(cnf_transformation,[],[f217]) ).
tcf(c_91,plain,
! [X0: $i,X1: $i,X2: $i] :
( terminates(X0,X1,X2)
| ~ sP5(X0,X1,X2) ),
inference(cnf_transformation,[],[f154]) ).
tcf(c_107,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ happens(X2,X1)
| ~ terminates(X2,X0,X1)
| ~ holdsAt(X0,plus(X1,n1)) ),
inference(cnf_transformation,[],[f169]) ).
tcf(c_123,plain,
plus(n1,n1) = n2,
inference(cnf_transformation,[],[f185]) ).
tcf(c_133,plain,
sP9(pull,n1),
inference(cnf_transformation,[],[f235]) ).
tcf(c_147,plain,
! [X0: $i,X1: $i] :
( happens(X0,X1)
| ~ sP9(X0,X1) ),
inference(cnf_transformation,[],[f210]) ).
tcf(c_265,plain,
! [X0: $i,X1: $i] :
( happens(X0,X1)
| ~ sP9(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_147]) ).
tcf(c_283,plain,
! [X0: $i,X1: $i,X2: $i] :
( terminates(X0,X1,X2)
| ~ sP4(X0,X1,X2) ),
inference(prop_impl_just,[status(thm)],[c_91,c_63]) ).
tcf(c_291,plain,
! [X0: $i,X1: $i,X2: $i] :
( terminates(X0,X1,X2)
| ~ sP3(X0,X1,X2) ),
inference(prop_impl_just,[status(thm)],[c_91,c_64]) ).
tcf(c_323,plain,
! [X0: $i] :
( sP3(pull,forwards,X0)
| ~ happens(push,X0) ),
inference(prop_impl_just,[status(thm)],[c_75]) ).
tcf(c_335,plain,
! [X0: $i] :
( sP4(pull,forwards,X0)
| happens(push,X0) ),
inference(prop_impl_just,[status(thm)],[c_71]) ).
tcf(c_336,plain,
! [X0: $i] :
( happens(push,X0)
| sP4(pull,forwards,X0) ),
inference(renaming,[status(thm)],[c_335]) ).
tcf(c_2403,plain,
! [X0: $i,X1: $i] :
( happens(X1,X0)
| ( X1 != pull )
| ( X0 != n1 ) ),
inference(resolution_lifted,[status(thm)],[c_133,c_265]) ).
tcf(c_2404,plain,
happens(pull,n1),
inference(unflattening,[status(thm)],[c_2403]) ).
tcf(c_2631,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( happens(push,X3)
| terminates(X0,X1,X2)
| ( X2 != X3 )
| ( X1 != forwards )
| ( X0 != pull ) ),
inference(resolution_lifted,[status(thm)],[c_283,c_336]) ).
tcf(c_2632,plain,
! [X0: $i] :
( happens(push,X0)
| terminates(pull,forwards,X0) ),
inference(unflattening,[status(thm)],[c_2631]) ).
tcf(c_2950,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( terminates(X0,X1,X2)
| ~ happens(push,X3)
| ( X2 != X3 )
| ( X1 != forwards )
| ( X0 != pull ) ),
inference(resolution_lifted,[status(thm)],[c_291,c_323]) ).
tcf(c_2951,plain,
! [X0: $i] :
( terminates(pull,forwards,X0)
| ~ happens(push,X0) ),
inference(unflattening,[status(thm)],[c_2950]) ).
tcf(c_2953,plain,
! [X0: $i] : terminates(pull,forwards,X0),
inference(global_subsumption_just,[status(thm)],[c_2951,c_2632,c_2951]) ).
tcf(c_6102,plain,
! [X0: $i,X1: $i] :
( ~ happens(X0,n1)
| ~ holdsAt(X1,n2)
| ~ terminates(X0,X1,n1) ),
inference(superposition,[status(thm)],[c_123,c_107]) ).
tcf(c_6579,plain,
( ~ happens(pull,n1)
| ~ holdsAt(forwards,n2) ),
inference(superposition,[status(thm)],[c_2953,c_6102]) ).
tcf(c_6581,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_6579,c_2404,c_53]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : CSR019+1 : TPTP v9.3.1. Bugfixed v3.1.0.
% 0.00/0.07 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.18/0.45 % Computer : n014.cluster.edu
% 0.18/0.45 % Model : x86_64 x86_64
% 0.18/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.45 % Memory : 8046.5625MB
% 0.18/0.45 % OS : Linux 6.8.0-71-generic
% 0.18/0.45 % CPULimit : 300
% 0.18/0.45 % WCLimit : 300
% 0.18/0.45 % DateTime : Fri Sep 25 08:07:04 UTC 2026
% 0.18/0.45 % CPUTime :
% 0.18/0.45 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.22/0.52 Running first-order theorem proving
% 0.22/0.52 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
% 0.22/0.53
% 0.22/0.53 % ======== iProver multi-core TPTP/SMT =========
% 0.22/0.53
% 0.22/0.54 % Detected problem language: tptp
% 0.22/0.56 % Proving...
% 3.93/1.43 % SZS status Started for theBenchmark.p
% 3.93/1.43 % SZS status Theorem for theBenchmark.p
% 3.93/1.43
% 3.93/1.43 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.93/1.43
% 3.93/1.43 % ------ iProver source info
% 3.93/1.43
% 3.93/1.43 % git: date: 2026-07-19 20:42:38 +0200
% 3.93/1.43 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.93/1.43 % git: non_committed_changes: false
% 3.93/1.43
% 3.93/1.43 % ------ Parsing...
% 3.93/1.43 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.93/1.43
% 3.93/1.43 % ------ Preprocessing... sup_sim: 1 sf_s rm: 2 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe_e sup_sim: 0 sf_s rm: 10 0s sf_e pe_s pe_e %
% 3.93/1.43
% 3.93/1.43 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.93/1.43
% 3.93/1.43 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.93/1.43 % ------ Proving...
% 3.93/1.43 % ------ Problem Properties
% 3.93/1.43
% 3.93/1.43 %
% 3.93/1.43 % clauses 72
% 3.93/1.43 % conjectures 1
% 3.93/1.43 % EPR 59
% 3.93/1.43 % Horn 46
% 3.93/1.43 % unary 27
% 3.93/1.43 % binary 20
% 3.93/1.43 % lits 158
% 3.93/1.43 % lits eq 54
% 3.93/1.43 % fd_pure 0
% 3.93/1.43 % fd_pseudo 0
% 3.93/1.43 % fd_cond 21
% 3.93/1.43 % fd_pseudo_cond 1
% 3.93/1.43 % AC symbols 0
% 3.93/1.43
% 3.93/1.43 % ------ Schedule dynamic 5 is on
% 3.93/1.43
% 3.93/1.43 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.93/1.43
% 3.93/1.43
% 3.93/1.43 % ------
% 3.93/1.43 % Current options:
% 3.93/1.43 % ------
% 3.93/1.43
% 3.93/1.43
% 3.93/1.43 %
% 3.93/1.43
% 3.93/1.43 % ------ Proving...
% 3.93/1.43 %
% 3.93/1.43
% 3.93/1.43 % SZS status Theorem for theBenchmark.p
% 3.93/1.43
% 3.93/1.43 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.93/1.43
%------------------------------------------------------------------------------