%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN721+1 : 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 : n013.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 03:41:28 PM UTC 2026
% Result : Theorem 1.20s 6.50s
% Output : CNFRefutation 1.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 1
% Syntax : Number of formulae : 21 ( 7 unt; 0 def)
% Number of atoms : 60 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 65 ( 26 ~; 18 |; 15 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 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 : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 49 ( 0 sgn 45 !; 4 ?; 13 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
( ( ! [X2,X3] :
( q(X2,X3)
=> ! [X4] : r(X4,X3) )
& ! [X0] :
( ? [X1] : r(X0,X1)
=> q(X0,X0) )
& r(a,b) )
=> ? [X5] :
( q(X5,a)
& r(b,X5) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lx1) ).
fof(f2,negated_conjecture,
~ ( ( ! [X2,X3] :
( q(X2,X3)
=> ! [X4] : r(X4,X3) )
& ! [X0] :
( ? [X1] : r(X0,X1)
=> q(X0,X0) )
& r(a,b) )
=> ? [X5] :
( q(X5,a)
& r(b,X5) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
( ! [X2,X3] :
( ~ q(X2,X3)
| ! [X4] : r(X4,X3) )
& ! [X0] :
( ! [X1] : ~ r(X0,X1)
| q(X0,X0) )
& r(a,b)
& ! [X5] :
( ~ q(X5,a)
| ~ r(b,X5) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f4,plain,
( ! [X2,X3] :
( ~ q(X2,X3)
| ! [X4] : r(X4,X3) )
& ! [X0] :
( ! [X1] : ~ r(X0,X1)
| q(X0,X0) )
& r(a,b)
& ! [X5] :
( ~ q(X5,a)
| ~ r(b,X5) ) ),
inference(flattening,[],[f3]) ).
fof(f5,plain,
( ! [X3,X4] :
( ~ q(X3,X4)
| ! [X5] : r(X5,X4) )
& ! [X1] :
( ! [X2] : ~ r(X1,X2)
| q(X1,X1) )
& r(a,b)
& ! [X0] :
( ~ q(X0,a)
| ~ r(b,X0) ) ),
inference(rectify,[],[f4]) ).
fof(f6,plain,
! [X3,X4,X5] :
( ~ q(X3,X4)
| r(X5,X4) ),
inference(cnf_transformation,[],[f5]) ).
fof(f7,plain,
! [X2,X1] :
( ~ r(X1,X2)
| q(X1,X1) ),
inference(cnf_transformation,[],[f5]) ).
fof(f8,plain,
r(a,b),
inference(cnf_transformation,[],[f5]) ).
fof(f9,plain,
! [X0] :
( ~ q(X0,a)
| ~ r(b,X0) ),
inference(cnf_transformation,[],[f5]) ).
tcf(c_49,negated_conjecture,
! [X0: $i] :
( ~ q(X0,a)
| ~ r(b,X0) ),
inference(cnf_transformation,[],[f9]) ).
tcf(c_50,negated_conjecture,
r(a,b),
inference(cnf_transformation,[],[f8]) ).
tcf(c_51,negated_conjecture,
! [X0: $i,X1: $i] :
( q(X0,X0)
| ~ r(X0,X1) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_52,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( r(X2,X1)
| ~ q(X0,X1) ),
inference(cnf_transformation,[],[f6]) ).
tcf(c_56,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( r(X2,X1)
| ~ q(X0,X1) ),
inference(demodulation,[status(thm)],[c_52]) ).
tcf(c_57,negated_conjecture,
! [X0: $i,X1: $i] :
( q(X0,X0)
| ~ r(X0,X1) ),
inference(demodulation,[status(thm)],[c_51]) ).
tcf(c_58,negated_conjecture,
r(a,b),
inference(demodulation,[status(thm)],[c_50]) ).
tcf(c_59,negated_conjecture,
! [X0: $i] :
( ~ q(X0,a)
| ~ r(b,X0) ),
inference(demodulation,[status(thm)],[c_49]) ).
tcf(c_60,plain,
q(a,a),
inference(resolution,[status(thm)],[c_57,c_58]) ).
tcf(c_61,plain,
! [X0: $i] : r(X0,a),
inference(resolution,[status(thm)],[c_60,c_56]) ).
tcf(c_63,plain,
~ q(a,a),
inference(resolution,[status(thm)],[c_61,c_59]) ).
tcf(c_64,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_63,c_60]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN721+1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/5.59 % Computer : n013.cluster.edu
% 0.10/5.59 % Model : x86_64 x86_64
% 0.10/5.59 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.59 % Memory : 8046.5625MB
% 0.10/5.59 % OS : Linux 6.8.0-71-generic
% 0.10/5.59 % CPULimit : 300
% 0.10/5.59 % WCLimit : 300
% 0.10/5.59 % DateTime : Fri Sep 25 02:10:28 UTC 2026
% 0.10/5.60 % CPUTime :
% 0.17/5.60 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.17/5.63 Running first-order theorem proving
% 0.17/5.63 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
% 0.17/5.65
% 0.17/5.65 % ======== iProver multi-core TPTP/SMT =========
% 0.17/5.65
% 0.17/5.65 % Detected problem language: tptp
% 0.17/5.66 % Proving...
% 1.20/6.50 % SZS status Started for theBenchmark.p
% 1.20/6.50 % SZS status Theorem for theBenchmark.p
% 1.20/6.50
% 1.20/6.50 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.20/6.50
% 1.20/6.50 % ------ iProver source info
% 1.20/6.50
% 1.20/6.50 % git: date: 2026-07-19 20:42:38 +0200
% 1.20/6.50 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.20/6.50 % git: non_committed_changes: false
% 1.20/6.50
% 1.20/6.50 % ------ Parsing...
% 1.20/6.50 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_horn
% 1.20/6.50 %
% 1.20/6.50
% 1.20/6.50 % ------ Preprocessing... sf_s rm: 0 0s sf_e %
% 1.20/6.50
% 1.20/6.50 % ------ Preprocessing...% ------ preprocesses with Option_epr_horn
% 1.20/6.50 gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.20/6.50 % ------ Proving...
% 1.20/6.50 % ------ Problem Properties
% 1.20/6.50
% 1.20/6.50 %
% 1.20/6.50 % clauses 4
% 1.20/6.50 % conjectures 4
% 1.20/6.50 % EPR 4
% 1.20/6.50 % Horn 4
% 1.20/6.50 % unary 1
% 1.20/6.50 % binary 3
% 1.20/6.50 % lits 7
% 1.20/6.50 % lits eq 0
% 1.20/6.50 % fd_pure 0
% 1.20/6.50 % fd_pseudo 0
% 1.20/6.50 % fd_cond 0
% 1.20/6.50 % fd_pseudo_cond 0
% 1.20/6.50 % AC symbols 0
% 1.20/6.50
% 1.20/6.50 % ------ Schedule EPR Horn non eq is on
% 1.20/6.50
% 1.20/6.50 % ------ no equalities: superposition off
% 1.20/6.50
% 1.20/6.50 % ------ Option_epr_horn Time Limit: Unbounded
% 1.20/6.50
% 1.20/6.50
% 1.20/6.50 % ------
% 1.20/6.50 % Current options:
% 1.20/6.50 % ------
% 1.20/6.50
% 1.20/6.50
% 1.20/6.50 %
% 1.20/6.50
% 1.20/6.50 % ------ Proving...
% 1.20/6.50 %
% 1.20/6.50
% 1.20/6.50 % SZS status Theorem for theBenchmark.p
% 1.20/6.50
% 1.20/6.50 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.20/6.50
% 1.20/6.50
%------------------------------------------------------------------------------