%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : MSC015-1.005 : TPTP v9.3.1. Released v3.5.0.
% 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 02:13:58 PM UTC 2026
% Result : Unsatisfiable 1.73s 6.32s
% Output : CNFRefutation 1.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 7
% Syntax : Number of formulae : 46 ( 32 unt; 0 def)
% Number of atoms : 60 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 30 ( 16 ~; 14 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 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 : 2 ( 1 usr; 1 prp; 0-5 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 20 ( 0 sgn 20 !; 0 ?; 10 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
p(s0,s0,s0,s0,s0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',init) ).
fof(f2,axiom,
! [X2,X3,X0,X1] :
( p(X0,X1,X2,X3,s1)
| ~ p(X0,X1,X2,X3,s0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule1) ).
fof(f3,axiom,
! [X2,X0,X1] :
( p(X0,X1,X2,s1,s0)
| ~ p(X0,X1,X2,s0,s1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule2) ).
fof(f4,axiom,
! [X0,X1] :
( p(X0,X1,s1,s0,s0)
| ~ p(X0,X1,s0,s1,s1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule3) ).
fof(f5,axiom,
! [X0] :
( p(X0,s1,s0,s0,s0)
| ~ p(X0,s0,s1,s1,s1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule4) ).
fof(f6,axiom,
( p(s1,s0,s0,s0,s0)
| ~ p(s0,s1,s1,s1,s1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule5) ).
fof(f7,negated_conjecture,
~ p(s1,s1,s1,s1,s1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).
tcf(c_56,plain,
p(s0,s0,s0,s0,s0),
inference(cnf_transformation,[],[f1]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p(X0,X1,X2,X3,s1)
| ~ p(X0,X1,X2,X3,s0) ),
inference(cnf_transformation,[],[f2]) ).
tcf(c_58,plain,
! [X0: $i,X1: $i,X2: $i] :
( p(X0,X1,X2,s1,s0)
| ~ p(X0,X1,X2,s0,s1) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_59,plain,
! [X0: $i,X1: $i] :
( p(X0,X1,s1,s0,s0)
| ~ p(X0,X1,s0,s1,s1) ),
inference(cnf_transformation,[],[f4]) ).
tcf(c_60,plain,
! [X0: $i] :
( p(X0,s1,s0,s0,s0)
| ~ p(X0,s0,s1,s1,s1) ),
inference(cnf_transformation,[],[f5]) ).
tcf(c_61,plain,
( p(s1,s0,s0,s0,s0)
| ~ p(s0,s1,s1,s1,s1) ),
inference(cnf_transformation,[],[f6]) ).
tcf(c_62,negated_conjecture,
~ p(s1,s1,s1,s1,s1),
inference(cnf_transformation,[],[f7]) ).
tcf(c_67,plain,
p(s0,s0,s0,s0,s1),
inference(resolution,[status(thm)],[c_57,c_56]) ).
tcf(c_68,plain,
p(s0,s0,s0,s1,s0),
inference(resolution,[status(thm)],[c_58,c_67]) ).
tcf(c_69,plain,
p(s0,s0,s0,s1,s1),
inference(resolution,[status(thm)],[c_68,c_57]) ).
tcf(c_70,plain,
p(s0,s0,s1,s0,s0),
inference(resolution,[status(thm)],[c_59,c_69]) ).
tcf(c_71,plain,
p(s0,s0,s1,s0,s1),
inference(resolution,[status(thm)],[c_70,c_57]) ).
tcf(c_72,plain,
p(s0,s0,s1,s1,s0),
inference(resolution,[status(thm)],[c_71,c_58]) ).
tcf(c_73,plain,
p(s0,s0,s1,s1,s1),
inference(resolution,[status(thm)],[c_72,c_57]) ).
tcf(c_74,plain,
p(s0,s1,s0,s0,s0),
inference(resolution,[status(thm)],[c_73,c_60]) ).
tcf(c_75,plain,
p(s0,s1,s0,s0,s1),
inference(resolution,[status(thm)],[c_74,c_57]) ).
tcf(c_76,plain,
p(s0,s1,s0,s1,s0),
inference(resolution,[status(thm)],[c_75,c_58]) ).
tcf(c_77,plain,
p(s0,s1,s0,s1,s1),
inference(resolution,[status(thm)],[c_76,c_57]) ).
tcf(c_78,plain,
p(s0,s1,s1,s0,s0),
inference(resolution,[status(thm)],[c_77,c_59]) ).
tcf(c_79,plain,
p(s0,s1,s1,s0,s1),
inference(resolution,[status(thm)],[c_78,c_57]) ).
tcf(c_80,plain,
p(s0,s1,s1,s1,s0),
inference(resolution,[status(thm)],[c_79,c_58]) ).
tcf(c_81,plain,
p(s0,s1,s1,s1,s1),
inference(resolution,[status(thm)],[c_80,c_57]) ).
tcf(c_82,plain,
p(s1,s0,s0,s0,s0),
inference(resolution,[status(thm)],[c_81,c_61]) ).
tcf(c_83,plain,
p(s1,s0,s0,s0,s1),
inference(resolution,[status(thm)],[c_82,c_57]) ).
tcf(c_84,plain,
( p(s1,s1,s1,s1,s1)
| ~ p(s1,s1,s1,s1,s0) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_87,plain,
p(s1,s0,s0,s1,s0),
inference(resolution,[status(thm)],[c_83,c_58]) ).
tcf(c_88,plain,
p(s1,s0,s0,s1,s1),
inference(resolution,[status(thm)],[c_87,c_57]) ).
tcf(c_89,plain,
p(s1,s0,s1,s0,s0),
inference(resolution,[status(thm)],[c_88,c_59]) ).
tcf(c_90,plain,
( p(s1,s1,s1,s1,s0)
| ~ p(s1,s1,s1,s0,s1) ),
inference(instantiation,[status(thm)],[c_58]) ).
tcf(c_93,plain,
p(s1,s0,s1,s0,s1),
inference(resolution,[status(thm)],[c_89,c_57]) ).
tcf(c_94,plain,
p(s1,s0,s1,s1,s0),
inference(resolution,[status(thm)],[c_93,c_58]) ).
tcf(c_95,plain,
p(s1,s0,s1,s1,s1),
inference(resolution,[status(thm)],[c_94,c_57]) ).
tcf(c_96,plain,
p(s1,s1,s0,s0,s0),
inference(resolution,[status(thm)],[c_95,c_60]) ).
tcf(c_97,plain,
( p(s1,s1,s1,s0,s1)
| ~ p(s1,s1,s1,s0,s0) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_100,plain,
p(s1,s1,s0,s0,s1),
inference(resolution,[status(thm)],[c_96,c_57]) ).
tcf(c_101,plain,
p(s1,s1,s0,s1,s0),
inference(resolution,[status(thm)],[c_100,c_58]) ).
tcf(c_102,plain,
p(s1,s1,s0,s1,s1),
inference(resolution,[status(thm)],[c_101,c_57]) ).
tcf(c_103,plain,
( p(s1,s1,s1,s0,s0)
| ~ p(s1,s1,s0,s1,s1) ),
inference(instantiation,[status(thm)],[c_59]) ).
tcf(c_104,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_103,c_102,c_97,c_90,c_84,c_62]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MSC015-1.005 : TPTP v9.3.1. Released v3.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/5.38 % Computer : n014.cluster.edu
% 0.12/5.38 % Model : x86_64 x86_64
% 0.12/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/5.38 % Memory : 8046.5625MB
% 0.12/5.38 % OS : Linux 6.8.0-71-generic
% 0.12/5.38 % CPULimit : 300
% 0.12/5.38 % WCLimit : 300
% 0.12/5.38 % DateTime : Thu Sep 24 01:29:25 UTC 2026
% 0.12/5.38 % CPUTime :
% 0.12/5.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.16/5.45 Running EPR theorem proving
% 0.16/5.45 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s epr_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/5.47
% 0.16/5.47 % ======== iProver multi-core TPTP/SMT =========
% 0.16/5.47
% 0.16/5.47 % Detected problem language: tptp
% 0.16/5.49 % Proving...
% 1.73/6.32 % SZS status Started for theBenchmark.p
% 1.73/6.32 % SZS status Unsatisfiable for theBenchmark.p
% 1.73/6.32
% 1.73/6.32 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.73/6.32
% 1.73/6.32 % ------ iProver source info
% 1.73/6.32
% 1.73/6.32 % git: date: 2026-07-19 20:42:38 +0200
% 1.73/6.32 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.73/6.32 % git: non_committed_changes: false
% 1.73/6.32
% 1.73/6.32 % ------ Parsing...% successful
% 1.73/6.32
% 1.73/6.32
% 1.73/6.32 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_horn
% 1.73/6.32 %
% 1.73/6.32
% 1.73/6.32 % ------ Preprocessing... sf_s rm: 0 0s sf_e %
% 1.73/6.32
% 1.73/6.32 % ------ Preprocessing...% ------ preprocesses with Option_epr_horn
% 1.73/6.32 gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.73/6.32 % ------ Proving...
% 1.73/6.32 % ------ Problem Properties
% 1.73/6.32
% 1.73/6.32 %
% 1.73/6.32 % clauses 7
% 1.73/6.32 % conjectures 1
% 1.73/6.32 % EPR 7
% 1.73/6.32 % Horn 7
% 1.73/6.32 % unary 2
% 1.73/6.32 % binary 5
% 1.73/6.32 % lits 12
% 1.73/6.32 % lits eq 0
% 1.73/6.32 % fd_pure 0
% 1.73/6.32 % fd_pseudo 0
% 1.73/6.32 % fd_cond 0
% 1.73/6.32 % fd_pseudo_cond 0
% 1.73/6.32 % AC symbols 0
% 1.73/6.32
% 1.73/6.32 % ------ Schedule EPR Horn non eq is on
% 1.73/6.32
% 1.73/6.32 % ------ no equalities: superposition off
% 1.73/6.32
% 1.73/6.32 % ------ Option_epr_horn Time Limit: Unbounded
% 1.73/6.32
% 1.73/6.32
% 1.73/6.32 % ------
% 1.73/6.32 % Current options:
% 1.73/6.32 % ------
% 1.73/6.32
% 1.73/6.32
% 1.73/6.32 %
% 1.73/6.32
% 1.73/6.32 % ------ Proving...
% 1.73/6.32 %
% 1.73/6.32
% 1.73/6.32 % SZS status Unsatisfiable for theBenchmark.p
% 1.73/6.32
% 1.73/6.32 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.73/6.33
% 1.73/6.33
%------------------------------------------------------------------------------