%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN009-3 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n020.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 03:38:52 PM UTC 2026
% Result : Unsatisfiable 0.89s 1.30s
% Output : CNFRefutation 0.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 8
% Syntax : Number of formulae : 23 ( 8 unt; 0 def)
% Number of atoms : 51 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 59 ( 31 ~; 28 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 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 : 8 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 36 ( 0 sgn 36 !; 0 ?; 18 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X2,X0,X1] :
( ~ t(X0,X1,X2)
| ~ p(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1) ).
fof(f2,negated_conjecture,
! [X2,X0,X1] :
( ~ t(X0,X1,X2)
| ~ q(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_2) ).
fof(f3,negated_conjecture,
! [X2,X0,X1] :
( ~ t(X0,X1,X2)
| ~ r(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3) ).
fof(f6,negated_conjecture,
s(c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_6) ).
fof(f7,negated_conjecture,
! [X2,X0,X1] : ~ v(X0,X1,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_7) ).
fof(f8,negated_conjecture,
u(c,c,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_8) ).
fof(f9,negated_conjecture,
! [X2,X0,X1] :
( r(X0,X1,X2)
| q(X0,X1,X2)
| p(X0,X1,X2)
| ~ s(X2)
| ~ s(X1)
| ~ s(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_9) ).
fof(f10,negated_conjecture,
! [X2,X0,X1] :
( v(X0,X1,X2)
| t(X0,X1,X2)
| ~ u(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_10) ).
tcf(c_59,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( ~ t(X0,X1,X2)
| ~ p(X0,X1,X2) ),
inference(cnf_transformation,[],[f1]) ).
tcf(c_60,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( ~ q(X0,X1,X2)
| ~ t(X0,X1,X2) ),
inference(cnf_transformation,[],[f2]) ).
tcf(c_61,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X0,X1,X2)
| ~ t(X0,X1,X2) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_64,negated_conjecture,
s(c),
inference(cnf_transformation,[],[f6]) ).
tcf(c_65,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] : ~ v(X0,X1,X2),
inference(cnf_transformation,[],[f7]) ).
tcf(c_66,negated_conjecture,
u(c,c,c),
inference(cnf_transformation,[],[f8]) ).
tcf(c_67,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( r(X0,X1,X2)
| q(X0,X1,X2)
| p(X0,X1,X2)
| ~ s(X2)
| ~ s(X1)
| ~ s(X0) ),
inference(cnf_transformation,[],[f9]) ).
tcf(c_68,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( v(X0,X1,X2)
| t(X0,X1,X2)
| ~ u(X0,X1,X2) ),
inference(cnf_transformation,[],[f10]) ).
tcf(c_69,plain,
~ v(c,c,c),
inference(instantiation,[status(thm)],[c_65]) ).
tcf(c_70,plain,
( ~ r(c,c,c)
| ~ t(c,c,c) ),
inference(instantiation,[status(thm)],[c_61]) ).
tcf(c_71,plain,
( ~ q(c,c,c)
| ~ t(c,c,c) ),
inference(instantiation,[status(thm)],[c_60]) ).
tcf(c_72,plain,
( ~ t(c,c,c)
| ~ p(c,c,c) ),
inference(instantiation,[status(thm)],[c_59]) ).
tcf(c_73,plain,
( v(c,c,c)
| t(c,c,c)
| ~ u(c,c,c) ),
inference(instantiation,[status(thm)],[c_68]) ).
tcf(c_74,plain,
( r(c,c,c)
| q(c,c,c)
| p(c,c,c)
| ~ s(c) ),
inference(instantiation,[status(thm)],[c_67]) ).
tcf(c_75,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_74,c_73,c_72,c_71,c_70,c_69,c_66,c_64]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN009-3 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.56 % Computer : n020.cluster.edu
% 0.09/0.56 % Model : x86_64 x86_64
% 0.09/0.56 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.56 % Memory : 8046.5625MB
% 0.09/0.56 % OS : Linux 6.8.0-71-generic
% 0.09/0.56 % CPULimit : 300
% 0.09/0.56 % WCLimit : 300
% 0.09/0.56 % DateTime : Thu Sep 24 23:51:19 UTC 2026
% 0.09/0.57 % CPUTime :
% 0.09/0.57 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.60 Running EPR theorem proving
% 0.09/0.60 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
% 0.09/0.61
% 0.09/0.61 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.61
% 0.09/0.61 % Detected problem language: tptp
% 0.09/0.62 % Proving...
% 0.89/1.30 % SZS status Started for theBenchmark.p
% 0.89/1.30 % SZS status Unsatisfiable for theBenchmark.p
% 0.89/1.30
% 0.89/1.30 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.89/1.30
% 0.89/1.30 % ------ iProver source info
% 0.89/1.30
% 0.89/1.30 % git: date: 2026-07-19 20:42:38 +0200
% 0.89/1.30 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.89/1.30 % git: non_committed_changes: false
% 0.89/1.30
% 0.89/1.30 % ------ Parsing...% successful
% 0.89/1.30
% 0.89/1.30
% 0.89/1.30 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_non_horn_non_eq
% 0.89/1.30 %
% 0.89/1.30
% 0.89/1.30 % ------ Preprocessing...%
% 0.89/1.30
% 0.89/1.30 % SZS status Unsatisfiable for theBenchmark.p
% 0.89/1.30
% 0.89/1.30 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.89/1.30
% 0.89/1.30
%------------------------------------------------------------------------------