%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : MSC017+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n006.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 02:14:14 PM UTC 2026
% Result : Theorem 1.21s 1.27s
% Output : CNFRefutation 1.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 5
% Syntax : Number of formulae : 46 ( 10 unt; 0 def)
% Number of atoms : 130 ( 15 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 158 ( 74 ~; 59 |; 12 &)
% ( 4 <=>; 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 : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-1 aty)
% Number of variables : 42 ( 0 sgn 40 !; 2 ?; 14 :)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0] :
( dive(X0)
=> ( ( greater(time(X0),time_limit)
| greater(depth(X0),depth_limit) )
<=> greater(nitrogen(X0),nitrogen_limit) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',depth_and_time_and_nitrogen) ).
fof(f3,axiom,
! [X0] :
( dive(X0)
=> ( greater(nitrogen(X0),nitrogen_limit)
<=> outcome(X0,dci) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',too_much_nitrogen) ).
fof(f5,axiom,
! [X0] :
( dive(X0)
=> ! [X1] :
( ( bad(X1)
& outcome(X0,X1) )
=> X1 = dci ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dci_is_the_only_bad_outcome) ).
fof(f6,axiom,
! [X0] :
( dive(X0)
=> ( ~ greater(time(X0),time_limit)
& ~ greater(depth(X0),depth_limit) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',no_deep_long) ).
fof(f7,conjecture,
! [X0] :
( dive(X0)
=> ! [X1] :
( outcome(X0,X1)
=> ~ bad(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',no_bad) ).
fof(f8,negated_conjecture,
~ ! [X0] :
( dive(X0)
=> ! [X1] :
( outcome(X0,X1)
=> ~ bad(X1) ) ),
inference(negated_conjecture,[status(cth)],[f7]) ).
fof(f10,plain,
! [X0] :
( ~ dive(X0)
| ( ( greater(time(X0),time_limit)
| greater(depth(X0),depth_limit) )
<=> greater(nitrogen(X0),nitrogen_limit) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f11,plain,
! [X0] :
( ~ dive(X0)
| ( greater(nitrogen(X0),nitrogen_limit)
<=> outcome(X0,dci) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f12,plain,
! [X0] :
( ~ dive(X0)
| ! [X1] :
( ~ bad(X1)
| ~ outcome(X0,X1)
| X1 = dci ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f13,plain,
! [X0] :
( ~ dive(X0)
| ! [X1] :
( ~ bad(X1)
| ~ outcome(X0,X1)
| X1 = dci ) ),
inference(flattening,[],[f12]) ).
fof(f14,plain,
! [X0] :
( ~ dive(X0)
| ( ~ greater(time(X0),time_limit)
& ~ greater(depth(X0),depth_limit) ) ),
inference(ennf_transformation,[],[f6]) ).
fof(f15,plain,
? [X0] :
( dive(X0)
& ? [X1] :
( outcome(X0,X1)
& bad(X1) ) ),
inference(ennf_transformation,[],[f8]) ).
fof(f16,plain,
! [X0] :
( ~ dive(X0)
| ( ( ( ~ greater(time(X0),time_limit)
& ~ greater(depth(X0),depth_limit) )
| greater(nitrogen(X0),nitrogen_limit) )
& ( ~ greater(nitrogen(X0),nitrogen_limit)
| greater(time(X0),time_limit)
| greater(depth(X0),depth_limit) ) ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f17,plain,
! [X0] :
( ~ dive(X0)
| ( ( ( ~ greater(time(X0),time_limit)
& ~ greater(depth(X0),depth_limit) )
| greater(nitrogen(X0),nitrogen_limit) )
& ( ~ greater(nitrogen(X0),nitrogen_limit)
| greater(time(X0),time_limit)
| greater(depth(X0),depth_limit) ) ) ),
inference(flattening,[],[f16]) ).
fof(f18,plain,
! [X0] :
( ~ dive(X0)
| ( ( ~ greater(nitrogen(X0),nitrogen_limit)
| outcome(X0,dci) )
& ( ~ outcome(X0,dci)
| greater(nitrogen(X0),nitrogen_limit) ) ) ),
inference(nnf_transformation,[],[f11]) ).
fof(f19,plain,
( dive(sK0)
& outcome(sK0,sK1)
& bad(sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f15]) ).
fof(f23,plain,
! [X0] :
( ~ dive(X0)
| ~ greater(nitrogen(X0),nitrogen_limit)
| greater(time(X0),time_limit)
| greater(depth(X0),depth_limit) ),
inference(cnf_transformation,[],[f17]) ).
fof(f24,plain,
! [X0] :
( ~ dive(X0)
| ~ greater(nitrogen(X0),nitrogen_limit)
| outcome(X0,dci) ),
inference(cnf_transformation,[],[f18]) ).
fof(f25,plain,
! [X0] :
( ~ dive(X0)
| ~ outcome(X0,dci)
| greater(nitrogen(X0),nitrogen_limit) ),
inference(cnf_transformation,[],[f18]) ).
fof(f27,plain,
! [X0,X1] :
( ~ dive(X0)
| ~ bad(X1)
| ~ outcome(X0,X1)
| dci = X1 ),
inference(cnf_transformation,[],[f13]) ).
fof(f28,plain,
! [X0] :
( ~ dive(X0)
| ~ greater(time(X0),time_limit) ),
inference(cnf_transformation,[],[f14]) ).
fof(f29,plain,
! [X0] :
( ~ dive(X0)
| ~ greater(depth(X0),depth_limit) ),
inference(cnf_transformation,[],[f14]) ).
fof(f30,plain,
dive(sK0),
inference(cnf_transformation,[],[f19]) ).
fof(f31,plain,
outcome(sK0,sK1),
inference(cnf_transformation,[],[f19]) ).
fof(f32,plain,
bad(sK1),
inference(cnf_transformation,[],[f19]) ).
tcf(c_50,plain,
! [X0: $i] :
( greater(time(X0),time_limit)
| greater(depth(X0),depth_limit)
| ~ dive(X0)
| ~ greater(nitrogen(X0),nitrogen_limit) ),
inference(cnf_transformation,[],[f23]) ).
tcf(c_53,plain,
! [X0: $i] :
( greater(nitrogen(X0),nitrogen_limit)
| ~ dive(X0)
| ~ outcome(X0,dci) ),
inference(cnf_transformation,[],[f25]) ).
tcf(c_54,plain,
! [X0: $i] :
( outcome(X0,dci)
| ~ dive(X0)
| ~ greater(nitrogen(X0),nitrogen_limit) ),
inference(cnf_transformation,[],[f24]) ).
tcf(c_56,plain,
! [X0: $i,X1: $i] :
( ( X1 = dci )
| ~ bad(X1)
| ~ dive(X0)
| ~ outcome(X0,X1) ),
inference(cnf_transformation,[],[f27]) ).
tcf(c_57,plain,
! [X0: $i] :
( ~ dive(X0)
| ~ greater(depth(X0),depth_limit) ),
inference(cnf_transformation,[],[f29]) ).
tcf(c_58,plain,
! [X0: $i] :
( ~ dive(X0)
| ~ greater(time(X0),time_limit) ),
inference(cnf_transformation,[],[f28]) ).
tcf(c_59,negated_conjecture,
bad(sK1),
inference(cnf_transformation,[],[f32]) ).
tcf(c_60,negated_conjecture,
outcome(sK0,sK1),
inference(cnf_transformation,[],[f31]) ).
tcf(c_61,negated_conjecture,
dive(sK0),
inference(cnf_transformation,[],[f30]) ).
tcf(c_69,plain,
! [X0: $i] :
( ~ greater(nitrogen(X0),nitrogen_limit)
| ~ dive(X0) ),
inference(global_subsumption_just,[status(thm)],[c_54,c_58,c_57,c_50]) ).
tcf(c_70,plain,
! [X0: $i] :
( ~ dive(X0)
| ~ greater(nitrogen(X0),nitrogen_limit) ),
inference(renaming,[status(thm)],[c_69]) ).
tcf(c_72,plain,
! [X0: $i] :
( ~ outcome(X0,dci)
| ~ dive(X0) ),
inference(global_subsumption_just,[status(thm)],[c_53,c_53,c_70]) ).
tcf(c_73,plain,
! [X0: $i] :
( ~ dive(X0)
| ~ outcome(X0,dci) ),
inference(renaming,[status(thm)],[c_72]) ).
tcf(c_151,plain,
! [X0: $i] :
( ~ dive(X0)
| ( dci != sK1 )
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_73,c_60]) ).
tcf(c_152,plain,
( ~ dive(sK0)
| ( dci != sK1 ) ),
inference(unflattening,[status(thm)],[c_151]) ).
tcf(c_153,plain,
dci != sK1,
inference(global_subsumption_just,[status(thm)],[c_152,c_61,c_152]) ).
tcf(c_158,plain,
! [X0: $i,X1: $i] :
( ( X1 = dci )
| ~ bad(X1)
| ~ dive(X0)
| ( X1 != sK1 )
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_56,c_60]) ).
tcf(c_159,plain,
( ( sK1 = dci )
| ~ bad(sK1)
| ~ dive(sK0) ),
inference(unflattening,[status(thm)],[c_158]) ).
tcf(c_160,plain,
sK1 = dci,
inference(global_subsumption_just,[status(thm)],[c_159,c_61,c_59,c_159]) ).
tcf(c_179,plain,
dci != dci,
inference(demodulation,[status(thm)],[c_153,c_160]) ).
tcf(c_180,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_179]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MSC017+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.36 % Computer : n006.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 : Thu Sep 24 01:31:11 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 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
% 0.10/0.41
% 0.10/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.41
% 0.10/0.41 % Detected problem language: tptp
% 0.10/0.42 % Proving...
% 1.21/1.27 % SZS status Started for theBenchmark.p
% 1.21/1.27 % SZS status Theorem for theBenchmark.p
% 1.21/1.27
% 1.21/1.27 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.21/1.27
% 1.21/1.27 % ------ iProver source info
% 1.21/1.27
% 1.21/1.27 % git: date: 2026-07-19 20:42:38 +0200
% 1.21/1.27 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.21/1.27 % git: non_committed_changes: false
% 1.21/1.27
% 1.21/1.27 % ------ Parsing...
% 1.21/1.27 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.21/1.27
% 1.21/1.27 % ------ Preprocessing... sup_sim: 0 sf_s rm: 5 0s sf_e pe_s pe:1:0s pe:2:0s pe_e %
% 1.21/1.27
% 1.21/1.27 % SZS status Theorem for theBenchmark.p
% 1.21/1.27
% 1.21/1.27 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.21/1.27
% 1.21/1.27
%------------------------------------------------------------------------------