TSTP Solution File: DAT041_1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : DAT041_1 : TPTP v8.1.2. Released v5.0.0.
% 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 : Wed Aug 30 22:15:27 EDT 2023
% Result : Theorem 3.33s 0.99s
% Output : CNFRefutation 3.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 2
% Syntax : Number of formulae : 13 ( 6 unt; 0 typ; 0 def)
% Number of atoms : 40 ( 8 equ)
% Maximal formula atoms : 4 ( 3 avg)
% Number of connectives : 22 ( 13 ~; 6 |; 1 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 18 ( 18 fml; 0 var)
% Number arithmetic : 7 ( 0 atm; 0 fun; 0 num; 7 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 7 ( 5 usr; 2 prp; 0-2 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 24 ( 3 sgn; 14 !; 0 ?; 14 :)
% Comments :
%------------------------------------------------------------------------------
tff(f2,axiom,
! [X1: $int,X2: collection] : in(X1,add(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
tff(f11,axiom,
! [X19: $int,X20: collection] :
( ~ in(X19,X20)
<=> ( count(remove(X19,X20)) = count(X20) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
tff(f30,plain,
! [X0: $int,X1: collection] : in(X0,add(X0,X1)),
inference(rectify,[],[f2]) ).
tff(f39,plain,
! [X0: $int,X1: collection] :
( ~ in(X0,X1)
<=> ( count(X1) = count(remove(X0,X1)) ) ),
inference(rectify,[],[f11]) ).
tff(f51,plain,
! [X0: $int,X1: collection] :
( ( ~ in(X0,X1)
| ( count(X1) != count(remove(X0,X1)) ) )
& ( ( count(X1) = count(remove(X0,X1)) )
| in(X0,X1) ) ),
inference(nnf_transformation,[],[f39]) ).
tff(f53,plain,
! [X0: $int,X1: collection] : in(X0,add(X0,X1)),
inference(cnf_transformation,[],[f30]) ).
tff(f71,plain,
! [X0: $int,X1: collection] :
( ~ in(X0,X1)
| ( count(X1) != count(remove(X0,X1)) ) ),
inference(cnf_transformation,[],[f51]) ).
cnf(c_62,negated_conjecture,
in(X0_3,add(X0_3,X0_13)),
inference(cnf_transformation,[],[f53]) ).
cnf(c_79,negated_conjecture,
( count(remove(X0_3,X0_13)) != count(X0_13)
| ~ in(X0_3,X0_13) ),
inference(cnf_transformation,[],[f71]) ).
cnf(c_120,plain,
( ~ in(X0_3,X0_13)
| count(remove(X0_3,X0_13)) != count(X0_13) ),
inference(prop_impl_just,[status(thm)],[c_79]) ).
cnf(c_121,plain,
( count(remove(X0_3,X0_13)) != count(X0_13)
| ~ in(X0_3,X0_13) ),
inference(renaming,[status(thm)],[c_120]) ).
cnf(c_341,plain,
~ in(X0_3,X0_13),
inference(global_subsumption_just,[status(thm)],[c_121]) ).
cnf(c_420,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_62,c_341]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : DAT041_1 : TPTP v8.1.2. Released v5.0.0.
% 0.00/0.09 % Command : run_iprover %s %d THM
% 0.10/0.28 % Computer : n032.cluster.edu
% 0.10/0.28 % Model : x86_64 x86_64
% 0.10/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.28 % Memory : 8042.1875MB
% 0.10/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.28 % CPULimit : 300
% 0.10/0.28 % WCLimit : 300
% 0.10/0.28 % DateTime : Thu Aug 24 14:15:27 EDT 2023
% 0.10/0.28 % CPUTime :
% 0.12/0.36 Running TFA theorem proving
% 0.12/0.36 Running: /export/starexec/sandbox/solver/bin/run_problem --no_cores 8 --schedule casc_29_tfa /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.33/0.99 % SZS status Started for theBenchmark.p
% 3.33/0.99 % SZS status Theorem for theBenchmark.p
% 3.33/0.99
% 3.33/0.99 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.33/0.99
% 3.33/0.99 ------ iProver source info
% 3.33/0.99
% 3.33/0.99 git: date: 2023-05-31 18:12:56 +0000
% 3.33/0.99 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.33/0.99 git: non_committed_changes: false
% 3.33/0.99 git: last_make_outside_of_git: false
% 3.33/0.99
% 3.33/0.99 ------ Parsing...
% 3.33/0.99 ------ Clausification by vclausify_rel & Parsing by iProver...
% 3.33/0.99
% 3.33/0.99 ------ Preprocessing... sup_sim: 7 sf_s rm: 1 0s sf_e pe_s pe_e
% 3.33/0.99
% 3.33/0.99 % SZS status Theorem for theBenchmark.p
% 3.33/0.99
% 3.33/0.99 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.33/0.99
% 3.33/0.99
%------------------------------------------------------------------------------