%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN009-2 : 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 : n018.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 1.57s 1.22s
% Output : CNFRefutation 1.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 6
% Syntax : Number of formulae : 17 ( 5 unt; 0 def)
% Number of atoms : 39 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 47 ( 25 ~; 22 |; 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 : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 24 ( 0 sgn 24 !; 0 ?; 12 :)
% 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(X1,X2,X0)
| ~ q(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_2) ).
fof(f3,negated_conjecture,
! [X2,X0,X1] :
( ~ t(X2,X0,X1)
| ~ 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,
t(c,c,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_7) ).
fof(f8,negated_conjecture,
! [X2,X0,X1] :
( r(X2,X0,X1)
| q(X1,X2,X0)
| p(X0,X1,X2)
| ~ s(X2)
| ~ s(X1)
| ~ s(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_8) ).
tcf(c_57,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( ~ t(X0,X1,X2)
| ~ p(X0,X1,X2) ),
inference(cnf_transformation,[],[f1]) ).
tcf(c_58,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( ~ q(X2,X0,X1)
| ~ t(X0,X1,X2) ),
inference(cnf_transformation,[],[f2]) ).
tcf(c_59,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X1,X2,X0)
| ~ t(X0,X1,X2) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_62,negated_conjecture,
s(c),
inference(cnf_transformation,[],[f6]) ).
tcf(c_63,negated_conjecture,
t(c,c,c),
inference(cnf_transformation,[],[f7]) ).
tcf(c_64,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( r(X2,X0,X1)
| q(X1,X2,X0)
| p(X0,X1,X2)
| ~ s(X2)
| ~ s(X1)
| ~ s(X0) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_65,plain,
( ~ r(c,c,c)
| ~ t(c,c,c) ),
inference(instantiation,[status(thm)],[c_59]) ).
tcf(c_66,plain,
( ~ q(c,c,c)
| ~ t(c,c,c) ),
inference(instantiation,[status(thm)],[c_58]) ).
tcf(c_67,plain,
( ~ t(c,c,c)
| ~ p(c,c,c) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_68,plain,
( r(c,c,c)
| q(c,c,c)
| p(c,c,c)
| ~ s(c) ),
inference(instantiation,[status(thm)],[c_64]) ).
tcf(c_69,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_68,c_67,c_66,c_65,c_63,c_62]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN009-2 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n018.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Thu Sep 24 23:52:34 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.40 Running EPR theorem proving
% 0.09/0.40 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
% 0.09/0.41
% 0.09/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.41
% 0.09/0.41 % Detected problem language: tptp
% 0.09/0.43 % Proving...
% 1.57/1.22 % SZS status Started for theBenchmark.p
% 1.57/1.22 % SZS status Unsatisfiable for theBenchmark.p
% 1.57/1.22
% 1.57/1.22 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.57/1.22
% 1.57/1.22 % ------ iProver source info
% 1.57/1.22
% 1.57/1.22 % git: date: 2026-07-19 20:42:38 +0200
% 1.57/1.22 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.57/1.22 % git: non_committed_changes: false
% 1.57/1.22
% 1.57/1.22 % ------ Parsing...% successful
% 1.57/1.22
% 1.57/1.22
% 1.57/1.22 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_non_horn_non_eq
% 1.57/1.22 %
% 1.57/1.22
% 1.57/1.22 % ------ Preprocessing...%
% 1.57/1.22
% 1.57/1.22 % SZS status Unsatisfiable for theBenchmark.p
% 1.57/1.22
% 1.57/1.22 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.57/1.22
% 1.57/1.22
%------------------------------------------------------------------------------