%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN323+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 : n007.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 03:39:42 PM UTC 2026
% Result : Theorem 1.10s 1.27s
% Output : CNFRefutation 1.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 1
% Syntax : Number of formulae : 18 ( 1 unt; 0 def)
% Number of atoms : 71 ( 0 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 63 ( 26 ~; 16 |; 6 &)
% ( 0 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 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 : 4 ( 3 usr; 2 prp; 0-2 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 31 ( 0 sgn 28 !; 3 ?; 8 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
? [X0] :
( ! [X1] :
( ( big_f(X1,X0)
=> big_f(X0,X1) )
=> big_g(X1,X0) )
=> ~ ! [X1] :
( ( big_f(X1,X0)
=> big_f(X0,X1) )
=> ~ big_g(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',church_46_4_2) ).
fof(f2,negated_conjecture,
~ ? [X0] :
( ! [X1] :
( ( big_f(X1,X0)
=> big_f(X0,X1) )
=> big_g(X1,X0) )
=> ~ ! [X1] :
( ( big_f(X1,X0)
=> big_f(X0,X1) )
=> ~ big_g(X1,X0) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
~ ? [X0] :
( ! [X1] :
( ( big_f(X1,X0)
=> big_f(X0,X1) )
=> big_g(X1,X0) )
=> ~ ! [X2] :
( ( big_f(X2,X0)
=> big_f(X0,X2) )
=> ~ big_g(X2,X0) ) ),
inference(rectify,[],[f2]) ).
fof(f4,plain,
! [X0] :
( ! [X1] :
( ( big_f(X1,X0)
& ~ big_f(X0,X1) )
| big_g(X1,X0) )
& ! [X2] :
( ( big_f(X2,X0)
& ~ big_f(X0,X2) )
| ~ big_g(X2,X0) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f5,plain,
! [X0] :
( ! [X2] :
( ( big_f(X2,X0)
& ~ big_f(X0,X2) )
| big_g(X2,X0) )
& ! [X1] :
( ( big_f(X1,X0)
& ~ big_f(X0,X1) )
| ~ big_g(X1,X0) ) ),
inference(rectify,[],[f4]) ).
fof(f6,plain,
! [X2,X0] :
( big_f(X2,X0)
| big_g(X2,X0) ),
inference(cnf_transformation,[],[f5]) ).
fof(f7,plain,
! [X2,X0] :
( ~ big_f(X0,X2)
| big_g(X2,X0) ),
inference(cnf_transformation,[],[f5]) ).
fof(f8,plain,
! [X0,X1] :
( big_f(X1,X0)
| ~ big_g(X1,X0) ),
inference(cnf_transformation,[],[f5]) ).
fof(f9,plain,
! [X0,X1] :
( ~ big_f(X0,X1)
| ~ big_g(X1,X0) ),
inference(cnf_transformation,[],[f5]) ).
tcf(c_49,negated_conjecture,
! [X0: $i,X1: $i] :
( ~ big_f(X1,X0)
| ~ big_g(X0,X1) ),
inference(cnf_transformation,[],[f9]) ).
tcf(c_50,negated_conjecture,
! [X0: $i,X1: $i] :
( big_f(X0,X1)
| ~ big_g(X0,X1) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_51,negated_conjecture,
! [X0: $i,X1: $i] :
( big_g(X1,X0)
| ~ big_f(X0,X1) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_52,negated_conjecture,
! [X0: $i,X1: $i] :
( big_f(X0,X1)
| big_g(X0,X1) ),
inference(cnf_transformation,[],[f6]) ).
tcf(c_53,plain,
( big_f(iProver_bot,iProver_bot)
| big_g(iProver_bot,iProver_bot) ),
inference(instantiation,[status(thm)],[c_52]) ).
tcf(c_54,plain,
( big_g(iProver_bot,iProver_bot)
| ~ big_f(iProver_bot,iProver_bot) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_55,plain,
( big_f(iProver_bot,iProver_bot)
| ~ big_g(iProver_bot,iProver_bot) ),
inference(instantiation,[status(thm)],[c_50]) ).
tcf(c_56,plain,
( ~ big_f(iProver_bot,iProver_bot)
| ~ big_g(iProver_bot,iProver_bot) ),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_57,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_56,c_55,c_54,c_53]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN323+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.37 % Computer : n007.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Fri Sep 25 00:47:53 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.15/0.40 Running first-order theorem proving
% 0.15/0.40 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
% 0.15/0.42
% 0.15/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.15/0.42
% 0.15/0.42 % Detected problem language: tptp
% 0.15/0.43 % Proving...
% 1.10/1.27 % SZS status Started for theBenchmark.p
% 1.10/1.27 % SZS status Theorem for theBenchmark.p
% 1.10/1.27
% 1.10/1.27 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.10/1.27
% 1.10/1.27 % ------ iProver source info
% 1.10/1.27
% 1.10/1.27 % git: date: 2026-07-19 20:42:38 +0200
% 1.10/1.27 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.10/1.27 % git: non_committed_changes: false
% 1.10/1.27
% 1.10/1.27 % ------ Parsing...
% 1.10/1.27 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_non_horn_non_eq
% 1.10/1.27 %
% 1.10/1.27
% 1.10/1.27 % ------ Preprocessing...%
% 1.10/1.27
% 1.10/1.27 % SZS status Theorem for theBenchmark.p
% 1.10/1.27
% 1.10/1.27 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.10/1.27
% 1.10/1.27
%------------------------------------------------------------------------------