%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN356+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/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 03:39:50 PM UTC 2026
% Result : Theorem 1.49s 1.27s
% Output : CNFRefutation 1.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 1
% Syntax : Number of formulae : 24 ( 9 unt; 0 def)
% Number of atoms : 63 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 61 ( 22 ~; 17 |; 16 &)
% ( 0 <=>; 6 =>; 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 : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 34 ( 0 sgn 34 !; 0 ?; 12 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
( ( ! [X2,X3] :
( big_q(X2,X3)
=> big_q(X2,X2) )
& ! [X0,X1] :
( big_r(X0,X1)
=> ( big_q(X0,X1)
& big_r(X1,X0) ) )
& big_r(a,b) )
=> ( big_q(b,b)
& big_q(a,a) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',x2107) ).
fof(f2,negated_conjecture,
~ ( ( ! [X2,X3] :
( big_q(X2,X3)
=> big_q(X2,X2) )
& ! [X0,X1] :
( big_r(X0,X1)
=> ( big_q(X0,X1)
& big_r(X1,X0) ) )
& big_r(a,b) )
=> ( big_q(b,b)
& big_q(a,a) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
( ! [X2,X3] :
( ~ big_q(X2,X3)
| big_q(X2,X2) )
& ! [X0,X1] :
( ~ big_r(X0,X1)
| ( big_q(X0,X1)
& big_r(X1,X0) ) )
& big_r(a,b)
& ( ~ big_q(b,b)
| ~ big_q(a,a) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f4,plain,
( ! [X2,X3] :
( ~ big_q(X2,X3)
| big_q(X2,X2) )
& ! [X0,X1] :
( ~ big_r(X0,X1)
| ( big_q(X0,X1)
& big_r(X1,X0) ) )
& big_r(a,b)
& ( ~ big_q(b,b)
| ~ big_q(a,a) ) ),
inference(flattening,[],[f3]) ).
fof(f5,plain,
! [X2,X3] :
( ~ big_q(X2,X3)
| big_q(X2,X2) ),
inference(cnf_transformation,[],[f4]) ).
fof(f6,plain,
! [X0,X1] :
( ~ big_r(X0,X1)
| big_q(X0,X1) ),
inference(cnf_transformation,[],[f4]) ).
fof(f7,plain,
! [X0,X1] :
( ~ big_r(X0,X1)
| big_r(X1,X0) ),
inference(cnf_transformation,[],[f4]) ).
fof(f8,plain,
big_r(a,b),
inference(cnf_transformation,[],[f4]) ).
fof(f9,plain,
( ~ big_q(b,b)
| ~ big_q(a,a) ),
inference(cnf_transformation,[],[f4]) ).
tcf(c_49,negated_conjecture,
( ~ big_q(b,b)
| ~ big_q(a,a) ),
inference(cnf_transformation,[],[f9]) ).
tcf(c_50,negated_conjecture,
big_r(a,b),
inference(cnf_transformation,[],[f8]) ).
tcf(c_51,negated_conjecture,
! [X0: $i,X1: $i] :
( big_r(X1,X0)
| ~ big_r(X0,X1) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_52,negated_conjecture,
! [X0: $i,X1: $i] :
( big_q(X0,X1)
| ~ big_r(X0,X1) ),
inference(cnf_transformation,[],[f6]) ).
tcf(c_53,negated_conjecture,
! [X0: $i,X1: $i] :
( big_q(X0,X0)
| ~ big_q(X0,X1) ),
inference(cnf_transformation,[],[f5]) ).
tcf(c_55,negated_conjecture,
! [X0: $i,X1: $i] :
( big_q(X0,X0)
| ~ big_q(X0,X1) ),
inference(demodulation,[status(thm)],[c_53]) ).
tcf(c_56,negated_conjecture,
! [X0: $i,X1: $i] :
( big_q(X0,X1)
| ~ big_r(X0,X1) ),
inference(demodulation,[status(thm)],[c_52]) ).
tcf(c_57,negated_conjecture,
! [X0: $i,X1: $i] :
( big_r(X1,X0)
| ~ big_r(X0,X1) ),
inference(demodulation,[status(thm)],[c_51]) ).
tcf(c_58,negated_conjecture,
big_r(a,b),
inference(demodulation,[status(thm)],[c_50]) ).
tcf(c_60,plain,
big_q(a,b),
inference(resolution,[status(thm)],[c_56,c_58]) ).
tcf(c_61,plain,
big_r(b,a),
inference(resolution,[status(thm)],[c_57,c_58]) ).
tcf(c_62,plain,
big_q(a,a),
inference(resolution,[status(thm)],[c_60,c_55]) ).
tcf(c_64,plain,
big_q(b,a),
inference(resolution,[status(thm)],[c_61,c_56]) ).
tcf(c_67,plain,
big_q(b,b),
inference(resolution,[status(thm)],[c_64,c_55]) ).
tcf(c_68,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_67,c_62,c_49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN356+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.36 % Computer : n020.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 : Fri Sep 25 00:59:03 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/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
% 0.10/0.43 % Proving...
% 1.49/1.27 % SZS status Started for theBenchmark.p
% 1.49/1.27 % SZS status Theorem for theBenchmark.p
% 1.49/1.27
% 1.49/1.27 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.49/1.27
% 1.49/1.27 % ------ iProver source info
% 1.49/1.27
% 1.49/1.27 % git: date: 2026-07-19 20:42:38 +0200
% 1.49/1.27 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.49/1.27 % git: non_committed_changes: false
% 1.49/1.27
% 1.49/1.27 % ------ Parsing...
% 1.49/1.27 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_horn
% 1.49/1.27 %
% 1.49/1.27
% 1.49/1.27 % ------ Preprocessing... sf_s rm: 0 0s sf_e %
% 1.49/1.27
% 1.49/1.27 % ------ Preprocessing...% ------ preprocesses with Option_epr_horn
% 1.49/1.27 gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.49/1.27 % ------ Proving...
% 1.49/1.27 % ------ Problem Properties
% 1.49/1.27
% 1.49/1.27 %
% 1.49/1.27 % clauses 5
% 1.49/1.27 % conjectures 5
% 1.49/1.27 % EPR 5
% 1.49/1.27 % Horn 5
% 1.49/1.27 % unary 1
% 1.49/1.27 % binary 4
% 1.49/1.27 % lits 9
% 1.49/1.27 % lits eq 0
% 1.49/1.27 % fd_pure 0
% 1.49/1.27 % fd_pseudo 0
% 1.49/1.27 % fd_cond 0
% 1.49/1.27 % fd_pseudo_cond 0
% 1.49/1.27 % AC symbols 0
% 1.49/1.27
% 1.49/1.27 % ------ Schedule EPR Horn non eq is on
% 1.49/1.27
% 1.49/1.27 % ------ no equalities: superposition off
% 1.49/1.27
% 1.49/1.27 % ------ Option_epr_horn Time Limit: Unbounded
% 1.49/1.27
% 1.49/1.27
% 1.49/1.27 % ------
% 1.49/1.27 % Current options:
% 1.49/1.27 % ------
% 1.49/1.27
% 1.49/1.27
% 1.49/1.27 %
% 1.49/1.27
% 1.49/1.27 % ------ Proving...
% 1.49/1.27 %
% 1.49/1.27
% 1.49/1.27 % SZS status Theorem for theBenchmark.p
% 1.49/1.27
% 1.49/1.27 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.49/1.27
% 1.49/1.27
%------------------------------------------------------------------------------