%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN363+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n008.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 03:39:51 PM UTC 2026
% Result : Theorem 0.36s 1.14s
% Output : CNFRefutation 0.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 1
% Syntax : Number of formulae : 19 ( 8 unt; 0 def)
% Number of atoms : 42 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 40 ( 17 ~; 9 |; 10 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 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; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 41 ( 0 sgn 34 !; 7 ?; 8 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
( ( ! [X1] :
( ? [X2] : big_r(X1,X2)
=> big_r(a,X1) )
& ! [X0] : big_r(X0,b) )
=> ? [X3] :
! [X4] : big_r(X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x2114) ).
fof(f2,negated_conjecture,
~ ( ( ! [X1] :
( ? [X2] : big_r(X1,X2)
=> big_r(a,X1) )
& ! [X0] : big_r(X0,b) )
=> ? [X3] :
! [X4] : big_r(X3,X4) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
( ! [X1] :
( ! [X2] : ~ big_r(X1,X2)
| big_r(a,X1) )
& ! [X0] : big_r(X0,b)
& ! [X3] :
? [X4] : ~ big_r(X3,X4) ),
inference(ennf_transformation,[],[f2]) ).
fof(f4,plain,
( ! [X1] :
( ! [X2] : ~ big_r(X1,X2)
| big_r(a,X1) )
& ! [X0] : big_r(X0,b)
& ! [X3] :
? [X4] : ~ big_r(X3,X4) ),
inference(flattening,[],[f3]) ).
fof(f5,plain,
( ! [X3] :
( ! [X4] : ~ big_r(X3,X4)
| big_r(a,X3) )
& ! [X2] : big_r(X2,b)
& ! [X0] :
? [X1] : ~ big_r(X0,X1) ),
inference(rectify,[],[f4]) ).
fof(f6,plain,
( ! [X3] :
( ! [X4] : ~ big_r(X3,X4)
| big_r(a,X3) )
& ! [X2] : big_r(X2,b)
& ! [X0] : ~ big_r(X0,sK0(X0)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X1,sK0(X0))],[f5]) ).
fof(f7,plain,
! [X3,X4] :
( ~ big_r(X3,X4)
| big_r(a,X3) ),
inference(cnf_transformation,[],[f6]) ).
fof(f8,plain,
! [X2] : big_r(X2,b),
inference(cnf_transformation,[],[f6]) ).
fof(f9,plain,
! [X0] : ~ big_r(X0,sK0(X0)),
inference(cnf_transformation,[],[f6]) ).
tcf(c_49,negated_conjecture,
! [X0: $i] : ~ big_r(X0,sK0(X0)),
inference(cnf_transformation,[],[f9]) ).
tcf(c_50,negated_conjecture,
! [X0: $i] : big_r(X0,b),
inference(cnf_transformation,[],[f8]) ).
tcf(c_51,negated_conjecture,
! [X0: $i,X1: $i] :
( big_r(a,X0)
| ~ big_r(X0,X1) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_53,plain,
~ big_r(a,sK0(a)),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_62,negated_conjecture,
! [X0: $i,X1: $i] :
( big_r(a,X0)
| ~ big_r(X0,X1) ),
inference(demodulation,[status(thm)],[c_51]) ).
tcf(c_63,negated_conjecture,
! [X0: $i] : big_r(X0,b),
inference(demodulation,[status(thm)],[c_50]) ).
tcf(c_65,plain,
! [X0: $i] :
( big_r(a,X0)
| ~ big_r(X0,b) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_67,plain,
( big_r(a,sK0(a))
| ~ big_r(sK0(a),b) ),
inference(instantiation,[status(thm)],[c_65]) ).
tcf(c_71,plain,
big_r(sK0(a),b),
inference(instantiation,[status(thm)],[c_63]) ).
tcf(c_72,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_71,c_67,c_53]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN363+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.07 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.16/0.43 % Computer : n008.cluster.edu
% 0.16/0.43 % Model : x86_64 x86_64
% 0.16/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.43 % Memory : 8046.5625MB
% 0.16/0.43 % OS : Linux 6.8.0-71-generic
% 0.16/0.43 % CPULimit : 300
% 0.16/0.43 % WCLimit : 300
% 0.16/0.43 % DateTime : Fri Sep 25 01:00:26 UTC 2026
% 0.16/0.44 % CPUTime :
% 0.16/0.44 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.16/0.48 Running first-order theorem proving
% 0.16/0.48 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
% 0.16/0.49
% 0.16/0.49 % ======== iProver multi-core TPTP/SMT =========
% 0.16/0.49
% 0.16/0.50 % Detected problem language: tptp
% 0.24/0.51 % Proving...
% 0.36/1.14 % SZS status Started for theBenchmark.p
% 0.36/1.14 % SZS status Theorem for theBenchmark.p
% 0.36/1.14
% 0.36/1.14 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.36/1.14
% 0.36/1.14 % ------ iProver source info
% 0.36/1.14
% 0.36/1.14 % git: date: 2026-07-19 20:42:38 +0200
% 0.36/1.14 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.36/1.14 % git: non_committed_changes: false
% 0.36/1.14
% 0.36/1.14 % ------ Parsing...
% 0.36/1.14 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 0.36/1.14
% 0.36/1.14 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 0.36/1.14
% 0.36/1.14 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.36/1.14 % ------ Proving...
% 0.36/1.14 % ------ Problem Properties
% 0.36/1.14
% 0.36/1.14 %
% 0.36/1.14 % clauses 3
% 0.36/1.14 % conjectures 3
% 0.36/1.14 % EPR 2
% 0.36/1.14 % Horn 3
% 0.36/1.14 % unary 2
% 0.36/1.14 % binary 1
% 0.36/1.14 % lits 4
% 0.36/1.14 % lits eq 0
% 0.36/1.14 % fd_pure 0
% 0.36/1.14 % fd_pseudo 0
% 0.36/1.14 % fd_cond 0
% 0.36/1.14 % fd_pseudo_cond 0
% 0.36/1.14 % AC symbols 0
% 0.36/1.14
% 0.36/1.14 % ------ Schedule dynamic 5 is on
% 0.36/1.14
% 0.36/1.14 % ------ no equalities: superposition off
% 0.36/1.14
% 0.36/1.14 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.36/1.14
% 0.36/1.14
% 0.36/1.14 % ------
% 0.36/1.14 % Current options:
% 0.36/1.14 % ------
% 0.36/1.14
% 0.36/1.14
% 0.36/1.14 %
% 0.36/1.14
% 0.36/1.14 % ------ Proving...
% 0.36/1.14 %
% 0.36/1.14
% 0.36/1.14 % SZS status Theorem for theBenchmark.p
% 0.36/1.14
% 0.36/1.14 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.36/1.14
% 0.36/1.14
%------------------------------------------------------------------------------