TSTP Solution File: ITP414_1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : ITP001_1 : TPTP v8.1.2. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n013.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 May 3 02:30:50 EDT 2024
% Result : Theorem 15.59s 2.65s
% Output : CNFRefutation 15.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 20 ( 14 unt; 0 typ; 0 def)
% Number of atoms : 75 ( 15 equ)
% Maximal formula atoms : 3 ( 3 avg)
% Number of connectives : 20 ( 13 ~; 3 |; 0 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 48 ( 48 fml; 0 var)
% Number of types : 0 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 15 ( 13 usr; 7 prp; 0-2 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 49 ( 9 sgn 31 !; 8 ?; 39 :)
% Comments :
%------------------------------------------------------------------------------
tff(f5,conjecture,
'thesis$',
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture4) ).
tff(f6,negated_conjecture,
~ 'thesis$',
inference(negated_conjecture,[],[f5]) ).
tff(f7,axiom,
! [X0: 'A_constr_list$',X1: 'Nat$',X2: 'A_TESL_atomic_list$',X3: 'A_TESL_atomic_list$'] :
( ( 's_2$' = 'pair$'(X0,'pair$a'(X1,'pair$b'(X2,X3))) )
=> 'thesis$' ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hypothesis5) ).
tff(f11,axiom,
! [X0: 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$'] :
( ! [X1: 'A_constr_list$',X2: 'Nat$',X3: 'A_TESL_atomic_list$',X4: 'A_TESL_atomic_list$'] :
( ( 'pair$'(X1,'pair$a'(X2,'pair$b'(X3,X4))) = X0 )
=> $false )
=> $false ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom9) ).
tff(f612,plain,
~ 'thesis$',
inference(flattening,[],[f6]) ).
tff(f615,plain,
! [X0: 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$'] :
~ ! [X1: 'A_constr_list$',X2: 'Nat$',X3: 'A_TESL_atomic_list$',X4: 'A_TESL_atomic_list$'] :
( ~ 'pair$'(X1,'pair$a'(X2,'pair$b'(X3,X4))) = X0 ),
inference(true_and_false_elimination,[],[f11]) ).
tff(f616,plain,
! [X0: 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$'] :
~ ! [X1: 'A_constr_list$',X2: 'Nat$',X3: 'A_TESL_atomic_list$',X4: 'A_TESL_atomic_list$'] : ( 'pair$'(X1,'pair$a'(X2,'pair$b'(X3,X4))) != X0 ),
inference(flattening,[],[f615]) ).
tff(f798,plain,
! [X0: 'A_constr_list$',X1: 'Nat$',X2: 'A_TESL_atomic_list$',X3: 'A_TESL_atomic_list$'] :
( 'thesis$'
| ( 's_2$' != 'pair$'(X0,'pair$a'(X1,'pair$b'(X2,X3))) ) ),
inference(ennf_transformation,[],[f7]) ).
tff(f800,plain,
! [X0: 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$'] :
? [X1: 'A_constr_list$',X2: 'Nat$',X3: 'A_TESL_atomic_list$',X4: 'A_TESL_atomic_list$'] : ( 'pair$'(X1,'pair$a'(X2,'pair$b'(X3,X4))) = X0 ),
inference(ennf_transformation,[],[f616]) ).
tff(f1382,plain,
! [X0: 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$'] :
( ? [X1: 'A_constr_list$',X2: 'Nat$',X3: 'A_TESL_atomic_list$',X4: 'A_TESL_atomic_list$'] : ( 'pair$'(X1,'pair$a'(X2,'pair$b'(X3,X4))) = X0 )
=> ( 'pair$'(sK26(X0),'pair$a'(sK27(X0),'pair$b'(sK28(X0),sK29(X0)))) = X0 ) ),
introduced(choice_axiom,[]) ).
tff(f1383,plain,
! [X0: 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$'] : ( 'pair$'(sK26(X0),'pair$a'(sK27(X0),'pair$b'(sK28(X0),sK29(X0)))) = X0 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK26,sK27,sK28,sK29])],[f800,f1382]) ).
tff(f2061,plain,
~ 'thesis$',
inference(cnf_transformation,[],[f612]) ).
tff(f2062,plain,
! [X2: 'A_TESL_atomic_list$',X3: 'A_TESL_atomic_list$',X0: 'A_constr_list$',X1: 'Nat$'] :
( 'thesis$'
| ( 's_2$' != 'pair$'(X0,'pair$a'(X1,'pair$b'(X2,X3))) ) ),
inference(cnf_transformation,[],[f798]) ).
tff(f2066,plain,
! [X0: 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$'] : ( 'pair$'(sK26(X0),'pair$a'(sK27(X0),'pair$b'(sK28(X0),sK29(X0)))) = X0 ),
inference(cnf_transformation,[],[f1383]) ).
cnf(c_69,negated_conjecture,
~ 'thesis$',
inference(cnf_transformation,[],[f2061]) ).
cnf(c_70,plain,
( 'pair$'(X0_31,'pair$a'(X0_55,'pair$b'(X0_34,X1_34))) != 's_2$'
| 'thesis$' ),
inference(cnf_transformation,[],[f2062]) ).
cnf(c_74,plain,
'pair$'(sK26(X0_43),'pair$a'(sK27(X0_43),'pair$b'(sK28(X0_43),sK29(X0_43)))) = X0_43,
inference(cnf_transformation,[],[f2066]) ).
cnf(c_1895,plain,
'pair$'(X0_31,'pair$a'(X0_55,'pair$b'(X0_34,X1_34))) != 's_2$',
inference(global_subsumption_just,[status(thm)],[c_70,c_69,c_70]) ).
cnf(c_54853,plain,
X0_43 != 's_2$',
inference(superposition,[status(thm)],[c_74,c_1895]) ).
cnf(c_55360,plain,
$false,
inference(equality_resolution,[status(thm)],[c_54853]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ITP001_1 : TPTP v8.1.2. Released v8.1.0.
% 0.07/0.13 % Command : run_iprover %s %d THM
% 0.12/0.34 % Computer : n013.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Thu May 2 21:41:34 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.19/0.47 Running TFA theorem proving
% 0.19/0.47 Running: /export/starexec/sandbox2/solver/bin/run_problem --no_cores 8 --schedule casc_29_tfa --heuristic_context casc_unsat /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 15.59/2.65 % SZS status Started for theBenchmark.p
% 15.59/2.65 % SZS status Theorem for theBenchmark.p
% 15.59/2.65
% 15.59/2.65 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 15.59/2.65
% 15.59/2.65 ------ iProver source info
% 15.59/2.65
% 15.59/2.65 git: date: 2024-05-02 19:28:25 +0000
% 15.59/2.65 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 15.59/2.65 git: non_committed_changes: false
% 15.59/2.65
% 15.59/2.65 ------ Parsing...
% 15.59/2.65 ------ Clausification by vclausify_rel & Parsing by iProver...
% 15.59/2.65
% 15.59/2.65 ------ Preprocessing... sup_sim: 12 sf_s rm: 147 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe_e sup_sim: 0 sf_s rm: 27 0s sf_e pe_s pe_e
% 15.59/2.65
% 15.59/2.65 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 15.59/2.65
% 15.59/2.65 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 15.59/2.65 ------ Proving...
% 15.59/2.65 ------ Problem Properties
% 15.59/2.65
% 15.59/2.65
% 15.59/2.65 clauses 818
% 15.59/2.65 conjectures 29
% 15.59/2.65 EPR 14
% 15.59/2.65 Horn 417
% 15.59/2.65 unary 53
% 15.59/2.65 binary 257
% 15.59/2.65 lits 2312
% 15.59/2.65 lits eq 242
% 15.59/2.65 fd_pure 1
% 15.59/2.65 fd_pseudo 0
% 15.59/2.65 fd_cond 10
% 15.59/2.65 fd_pseudo_cond 45
% 15.59/2.65 AC symbols 1
% 15.59/2.65
% 15.59/2.65 ------ Input Options Time Limit: Unbounded
% 15.59/2.65
% 15.59/2.65
% 15.59/2.65 ------
% 15.59/2.65 Current options:
% 15.59/2.65 ------
% 15.59/2.65
% 15.59/2.65
% 15.59/2.65
% 15.59/2.65
% 15.59/2.65 ------ Proving...
% 15.59/2.65
% 15.59/2.65
% 15.59/2.65 % SZS status Theorem for theBenchmark.p
% 15.59/2.65
% 15.59/2.65 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 15.59/2.65
% 15.59/2.65
%------------------------------------------------------------------------------