TSTP Solution File: SYN334+1 by iProver---3.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SYN334+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n032.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 03:06:27 EDT 2023
% Result : Theorem 1.28s 0.99s
% Output : CNFRefutation 1.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 2
% Syntax : Number of formulae : 37 ( 3 unt; 0 def)
% Number of atoms : 171 ( 0 equ)
% Maximal formula atoms : 30 ( 4 avg)
% Number of connectives : 217 ( 83 ~; 79 |; 34 &)
% ( 10 <=>; 9 =>; 0 <=; 2 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 0 con; 2-2 aty)
% Number of variables : 73 ( 2 sgn; 26 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
? [X0,X1] :
! [X2] :
( ( big_f(X0,X1)
=> ( big_f(X0,X2)
<=> big_g(X1,X2) ) )
=> ( ( big_f(X0,X1)
<=> ( big_f(X2,X2)
=> big_g(X2,X2) ) )
=> ( big_g(X0,X1)
<=> big_g(X2,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',church_46_14_6) ).
fof(f2,negated_conjecture,
~ ? [X0,X1] :
! [X2] :
( ( big_f(X0,X1)
=> ( big_f(X0,X2)
<=> big_g(X1,X2) ) )
=> ( ( big_f(X0,X1)
<=> ( big_f(X2,X2)
=> big_g(X2,X2) ) )
=> ( big_g(X0,X1)
<=> big_g(X2,X2) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f3,plain,
! [X0,X1] :
? [X2] :
( ( big_g(X0,X1)
<~> big_g(X2,X2) )
& ( big_f(X0,X1)
<=> ( big_g(X2,X2)
| ~ big_f(X2,X2) ) )
& ( ( big_f(X0,X2)
<=> big_g(X1,X2) )
| ~ big_f(X0,X1) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f4,plain,
! [X0,X1] :
? [X2] :
( ( big_g(X0,X1)
<~> big_g(X2,X2) )
& ( big_f(X0,X1)
<=> ( big_g(X2,X2)
| ~ big_f(X2,X2) ) )
& ( ( big_f(X0,X2)
<=> big_g(X1,X2) )
| ~ big_f(X0,X1) ) ),
inference(flattening,[],[f3]) ).
fof(f5,plain,
! [X0,X1] :
? [X2] :
( ( ~ big_g(X2,X2)
| ~ big_g(X0,X1) )
& ( big_g(X2,X2)
| big_g(X0,X1) )
& ( big_f(X0,X1)
| ( ~ big_g(X2,X2)
& big_f(X2,X2) ) )
& ( big_g(X2,X2)
| ~ big_f(X2,X2)
| ~ big_f(X0,X1) )
& ( ( ( big_f(X0,X2)
| ~ big_g(X1,X2) )
& ( big_g(X1,X2)
| ~ big_f(X0,X2) ) )
| ~ big_f(X0,X1) ) ),
inference(nnf_transformation,[],[f4]) ).
fof(f6,plain,
! [X0,X1] :
? [X2] :
( ( ~ big_g(X2,X2)
| ~ big_g(X0,X1) )
& ( big_g(X2,X2)
| big_g(X0,X1) )
& ( big_f(X0,X1)
| ( ~ big_g(X2,X2)
& big_f(X2,X2) ) )
& ( big_g(X2,X2)
| ~ big_f(X2,X2)
| ~ big_f(X0,X1) )
& ( ( ( big_f(X0,X2)
| ~ big_g(X1,X2) )
& ( big_g(X1,X2)
| ~ big_f(X0,X2) ) )
| ~ big_f(X0,X1) ) ),
inference(flattening,[],[f5]) ).
fof(f7,plain,
! [X0,X1] :
( ? [X2] :
( ( ~ big_g(X2,X2)
| ~ big_g(X0,X1) )
& ( big_g(X2,X2)
| big_g(X0,X1) )
& ( big_f(X0,X1)
| ( ~ big_g(X2,X2)
& big_f(X2,X2) ) )
& ( big_g(X2,X2)
| ~ big_f(X2,X2)
| ~ big_f(X0,X1) )
& ( ( ( big_f(X0,X2)
| ~ big_g(X1,X2) )
& ( big_g(X1,X2)
| ~ big_f(X0,X2) ) )
| ~ big_f(X0,X1) ) )
=> ( ( ~ big_g(sK0(X0,X1),sK0(X0,X1))
| ~ big_g(X0,X1) )
& ( big_g(sK0(X0,X1),sK0(X0,X1))
| big_g(X0,X1) )
& ( big_f(X0,X1)
| ( ~ big_g(sK0(X0,X1),sK0(X0,X1))
& big_f(sK0(X0,X1),sK0(X0,X1)) ) )
& ( big_g(sK0(X0,X1),sK0(X0,X1))
| ~ big_f(sK0(X0,X1),sK0(X0,X1))
| ~ big_f(X0,X1) )
& ( ( ( big_f(X0,sK0(X0,X1))
| ~ big_g(X1,sK0(X0,X1)) )
& ( big_g(X1,sK0(X0,X1))
| ~ big_f(X0,sK0(X0,X1)) ) )
| ~ big_f(X0,X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f8,plain,
! [X0,X1] :
( ( ~ big_g(sK0(X0,X1),sK0(X0,X1))
| ~ big_g(X0,X1) )
& ( big_g(sK0(X0,X1),sK0(X0,X1))
| big_g(X0,X1) )
& ( big_f(X0,X1)
| ( ~ big_g(sK0(X0,X1),sK0(X0,X1))
& big_f(sK0(X0,X1),sK0(X0,X1)) ) )
& ( big_g(sK0(X0,X1),sK0(X0,X1))
| ~ big_f(sK0(X0,X1),sK0(X0,X1))
| ~ big_f(X0,X1) )
& ( ( ( big_f(X0,sK0(X0,X1))
| ~ big_g(X1,sK0(X0,X1)) )
& ( big_g(X1,sK0(X0,X1))
| ~ big_f(X0,sK0(X0,X1)) ) )
| ~ big_f(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f6,f7]) ).
fof(f9,plain,
! [X0,X1] :
( big_g(X1,sK0(X0,X1))
| ~ big_f(X0,sK0(X0,X1))
| ~ big_f(X0,X1) ),
inference(cnf_transformation,[],[f8]) ).
fof(f10,plain,
! [X0,X1] :
( big_f(X0,sK0(X0,X1))
| ~ big_g(X1,sK0(X0,X1))
| ~ big_f(X0,X1) ),
inference(cnf_transformation,[],[f8]) ).
fof(f11,plain,
! [X0,X1] :
( big_g(sK0(X0,X1),sK0(X0,X1))
| ~ big_f(sK0(X0,X1),sK0(X0,X1))
| ~ big_f(X0,X1) ),
inference(cnf_transformation,[],[f8]) ).
fof(f13,plain,
! [X0,X1] :
( big_f(X0,X1)
| ~ big_g(sK0(X0,X1),sK0(X0,X1)) ),
inference(cnf_transformation,[],[f8]) ).
fof(f14,plain,
! [X0,X1] :
( big_g(sK0(X0,X1),sK0(X0,X1))
| big_g(X0,X1) ),
inference(cnf_transformation,[],[f8]) ).
fof(f15,plain,
! [X0,X1] :
( ~ big_g(sK0(X0,X1),sK0(X0,X1))
| ~ big_g(X0,X1) ),
inference(cnf_transformation,[],[f8]) ).
cnf(c_49,negated_conjecture,
( ~ big_g(sK0(X0,X1),sK0(X0,X1))
| ~ big_g(X0,X1) ),
inference(cnf_transformation,[],[f15]) ).
cnf(c_50,negated_conjecture,
( big_g(sK0(X0,X1),sK0(X0,X1))
| big_g(X0,X1) ),
inference(cnf_transformation,[],[f14]) ).
cnf(c_51,negated_conjecture,
( ~ big_g(sK0(X0,X1),sK0(X0,X1))
| big_f(X0,X1) ),
inference(cnf_transformation,[],[f13]) ).
cnf(c_53,negated_conjecture,
( ~ big_f(sK0(X0,X1),sK0(X0,X1))
| ~ big_f(X0,X1)
| big_g(sK0(X0,X1),sK0(X0,X1)) ),
inference(cnf_transformation,[],[f11]) ).
cnf(c_54,negated_conjecture,
( ~ big_g(X0,sK0(X1,X0))
| ~ big_f(X1,X0)
| big_f(X1,sK0(X1,X0)) ),
inference(cnf_transformation,[],[f10]) ).
cnf(c_55,negated_conjecture,
( ~ big_f(X0,sK0(X0,X1))
| ~ big_f(X0,X1)
| big_g(X1,sK0(X0,X1)) ),
inference(cnf_transformation,[],[f9]) ).
cnf(c_63,plain,
( ~ big_g(X0,X1)
| ~ big_g(sK0(X0,X1),sK0(X0,X1)) ),
inference(prop_impl_just,[status(thm)],[c_49]) ).
cnf(c_64,plain,
( ~ big_g(sK0(X0,X1),sK0(X0,X1))
| ~ big_g(X0,X1) ),
inference(renaming,[status(thm)],[c_63]) ).
cnf(c_67,plain,
( big_g(X0,X1)
| big_f(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_50,c_51]) ).
cnf(c_90,negated_conjecture,
( ~ big_f(sK0(X0,X1),sK0(X0,X1))
| ~ big_g(X0,X1)
| ~ big_f(X0,X1) ),
inference(bin_hyper_res,[status(thm)],[c_53,c_64]) ).
cnf(c_143,plain,
( big_g(sK0(X0,X1),sK0(X0,X1))
| big_f(sK0(X0,X1),sK0(X0,X1)) ),
inference(instantiation,[status(thm)],[c_67]) ).
cnf(c_250,negated_conjecture,
( ~ big_g(X0,X1)
| ~ big_f(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_90,c_49,c_53,c_143]) ).
cnf(c_337,plain,
( ~ big_f(X0,X1)
| big_f(X0,sK0(X0,X1))
| big_f(X1,sK0(X0,X1)) ),
inference(superposition,[status(thm)],[c_67,c_54]) ).
cnf(c_349,plain,
( ~ big_g(X0,X1)
| big_f(sK0(X0,X1),sK0(X0,X1)) ),
inference(superposition,[status(thm)],[c_67,c_49]) ).
cnf(c_351,plain,
( ~ big_f(X0,X1)
| big_f(X0,sK0(X0,X1))
| big_f(X1,sK0(X0,X1)) ),
inference(superposition,[status(thm)],[c_67,c_54]) ).
cnf(c_400,plain,
( ~ big_f(X0,X0)
| big_f(X0,sK0(X0,X0)) ),
inference(equality_factoring,[status(thm)],[c_337]) ).
cnf(c_418,plain,
( ~ big_f(X0,X0)
| big_f(X0,sK0(X0,X0)) ),
inference(equality_factoring,[status(thm)],[c_351]) ).
cnf(c_508,plain,
( ~ big_f(X0,X0)
| big_g(X0,sK0(X0,X0)) ),
inference(superposition,[status(thm)],[c_400,c_55]) ).
cnf(c_518,plain,
( ~ big_f(X0,X0)
| big_g(X0,sK0(X0,X0)) ),
inference(superposition,[status(thm)],[c_418,c_55]) ).
cnf(c_525,plain,
( ~ big_f(X0,sK0(X0,X0))
| ~ big_f(X0,X0) ),
inference(superposition,[status(thm)],[c_508,c_250]) ).
cnf(c_530,plain,
~ big_f(X0,X0),
inference(global_subsumption_just,[status(thm)],[c_518,c_400,c_525]) ).
cnf(c_533,plain,
~ big_g(X0,X1),
inference(backward_subsumption_resolution,[status(thm)],[c_349,c_530]) ).
cnf(c_535,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_50,c_533]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : SYN334+1 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.09 % Command : run_iprover %s %d THM
% 0.09/0.28 % Computer : n032.cluster.edu
% 0.09/0.28 % Model : x86_64 x86_64
% 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28 % Memory : 8042.1875MB
% 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28 % CPULimit : 300
% 0.09/0.28 % WCLimit : 300
% 0.09/0.28 % DateTime : Sat Aug 26 18:55:44 EDT 2023
% 0.09/0.28 % CPUTime :
% 0.12/0.36 Running first-order theorem proving
% 0.12/0.36 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 1.28/0.99 % SZS status Started for theBenchmark.p
% 1.28/0.99 % SZS status Theorem for theBenchmark.p
% 1.28/0.99
% 1.28/0.99 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 1.28/0.99
% 1.28/0.99 ------ iProver source info
% 1.28/0.99
% 1.28/0.99 git: date: 2023-05-31 18:12:56 +0000
% 1.28/0.99 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 1.28/0.99 git: non_committed_changes: false
% 1.28/0.99 git: last_make_outside_of_git: false
% 1.28/0.99
% 1.28/0.99 ------ Parsing...
% 1.28/0.99 ------ Clausification by vclausify_rel & Parsing by iProver...
% 1.28/0.99
% 1.28/0.99 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e
% 1.28/0.99
% 1.28/0.99 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.28/0.99 ------ Proving...
% 1.28/0.99 ------ Problem Properties
% 1.28/0.99
% 1.28/0.99
% 1.28/0.99 clauses 7
% 1.28/0.99 conjectures 6
% 1.28/0.99 EPR 1
% 1.28/0.99 Horn 4
% 1.28/0.99 unary 0
% 1.28/0.99 binary 4
% 1.28/0.99 lits 17
% 1.28/0.99 lits eq 0
% 1.28/0.99 fd_pure 0
% 1.28/0.99 fd_pseudo 0
% 1.28/0.99 fd_cond 0
% 1.28/0.99 fd_pseudo_cond 0
% 1.28/0.99 AC symbols 0
% 1.28/0.99
% 1.28/0.99 ------ Schedule dynamic 5 is on
% 1.28/0.99
% 1.28/0.99 ------ no equalities: superposition off
% 1.28/0.99
% 1.28/0.99 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.28/0.99
% 1.28/0.99
% 1.28/0.99 ------
% 1.28/0.99 Current options:
% 1.28/0.99 ------
% 1.28/0.99
% 1.28/0.99
% 1.28/0.99
% 1.28/0.99
% 1.28/0.99 ------ Proving...
% 1.28/0.99
% 1.28/0.99
% 1.28/0.99 % SZS status Theorem for theBenchmark.p
% 1.28/0.99
% 1.28/0.99 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.28/0.99
% 1.28/0.99
%------------------------------------------------------------------------------