TSTP Solution File: SYN323+1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SYN323+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 1 03:06:21 EDT 2023
% Result : Theorem 0.69s 1.14s
% Output : CNFRefutation 0.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 1
% Syntax : Number of formulae : 18 ( 1 unt; 0 def)
% Number of atoms : 55 ( 0 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 63 ( 26 ~; 16 |; 6 &)
% ( 0 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 31 ( 0 sgn; 20 !; 3 ?)
% 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,[],[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] :
( ! [X2] :
( ~ big_g(X2,X0)
| ( ~ big_f(X0,X2)
& big_f(X2,X0) ) )
& ! [X1] :
( big_g(X1,X0)
| ( ~ big_f(X0,X1)
& big_f(X1,X0) ) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f5,plain,
! [X0] :
( ! [X1] :
( ~ big_g(X1,X0)
| ( ~ big_f(X0,X1)
& big_f(X1,X0) ) )
& ! [X2] :
( big_g(X2,X0)
| ( ~ big_f(X0,X2)
& big_f(X2,X0) ) ) ),
inference(rectify,[],[f4]) ).
fof(f6,plain,
! [X2,X0] :
( big_g(X2,X0)
| big_f(X2,X0) ),
inference(cnf_transformation,[],[f5]) ).
fof(f7,plain,
! [X2,X0] :
( big_g(X2,X0)
| ~ big_f(X0,X2) ),
inference(cnf_transformation,[],[f5]) ).
fof(f8,plain,
! [X0,X1] :
( ~ big_g(X1,X0)
| big_f(X1,X0) ),
inference(cnf_transformation,[],[f5]) ).
fof(f9,plain,
! [X0,X1] :
( ~ big_g(X1,X0)
| ~ big_f(X0,X1) ),
inference(cnf_transformation,[],[f5]) ).
cnf(c_49,negated_conjecture,
( ~ big_g(X0,X1)
| ~ big_f(X1,X0) ),
inference(cnf_transformation,[],[f9]) ).
cnf(c_50,negated_conjecture,
( ~ big_g(X0,X1)
| big_f(X0,X1) ),
inference(cnf_transformation,[],[f8]) ).
cnf(c_51,negated_conjecture,
( ~ big_f(X0,X1)
| big_g(X1,X0) ),
inference(cnf_transformation,[],[f7]) ).
cnf(c_52,negated_conjecture,
( big_g(X0,X1)
| big_f(X0,X1) ),
inference(cnf_transformation,[],[f6]) ).
cnf(c_53,plain,
( big_g(iProver_bot,iProver_bot)
| big_f(iProver_bot,iProver_bot) ),
inference(instantiation,[status(thm)],[c_52]) ).
cnf(c_54,plain,
( ~ big_f(iProver_bot,iProver_bot)
| big_g(iProver_bot,iProver_bot) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_55,plain,
( ~ big_g(iProver_bot,iProver_bot)
| big_f(iProver_bot,iProver_bot) ),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_56,plain,
( ~ big_g(iProver_bot,iProver_bot)
| ~ big_f(iProver_bot,iProver_bot) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_57,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_56,c_55,c_54,c_53]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN323+1 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n001.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sat Aug 26 19:13:16 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.46 Running first-order theorem proving
% 0.20/0.46 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.69/1.14 % SZS status Started for theBenchmark.p
% 0.69/1.14 % SZS status Theorem for theBenchmark.p
% 0.69/1.14
% 0.69/1.14 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 0.69/1.14
% 0.69/1.14 ------ iProver source info
% 0.69/1.14
% 0.69/1.14 git: date: 2023-05-31 18:12:56 +0000
% 0.69/1.14 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 0.69/1.14 git: non_committed_changes: false
% 0.69/1.14 git: last_make_outside_of_git: false
% 0.69/1.14
% 0.69/1.14 ------ Parsing...
% 0.69/1.14 ------ Clausification by vclausify_rel & Parsing by iProver...------ preprocesses with Option_epr_non_horn_non_eq
% 0.69/1.14
% 0.69/1.14
% 0.69/1.14 ------ Preprocessing...
% 0.69/1.14
% 0.69/1.14 % SZS status Theorem for theBenchmark.p
% 0.69/1.14
% 0.69/1.14 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.69/1.14
% 0.69/1.14
%------------------------------------------------------------------------------