TSTP Solution File: SWC026+1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SWC026+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n005.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 : Thu Aug 31 20:40:25 EDT 2023
% Result : Theorem 1.11s 1.15s
% Output : CNFRefutation 1.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 22 ( 3 unt; 0 def)
% Number of atoms : 193 ( 152 equ)
% Maximal formula atoms : 28 ( 8 avg)
% Number of connectives : 238 ( 67 ~; 55 |; 104 &)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 32 ( 0 sgn; 8 !; 24 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( ( nil = X1
| nil != X0 )
& ( nil = X0
| nil != X1 ) )
| ( nil = X3
& nil != X2 )
| ( nil = X2
& nil != X3 )
| X0 != X2
| X1 != X3 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( ( nil = X1
| nil != X0 )
& ( nil = X0
| nil != X1 ) )
| ( nil = X3
& nil != X2 )
| ( nil = X2
& nil != X3 )
| X0 != X2
| X1 != X3 ) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f221,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( nil != X1
& nil = X0 )
| ( nil != X0
& nil = X1 ) )
& ( nil != X3
| nil = X2 )
& ( nil != X2
| nil = X3 )
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f222,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( nil != X1
& nil = X0 )
| ( nil != X0
& nil = X1 ) )
& ( nil != X3
| nil = X2 )
& ( nil != X2
| nil = X3 )
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(flattening,[],[f221]) ).
fof(f343,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( nil != X1
& nil = X0 )
| ( nil != X0
& nil = X1 ) )
& ( nil != X3
| nil = X2 )
& ( nil != X2
| nil = X3 )
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) )
=> ( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( nil != X1
& nil = sK53 )
| ( nil != sK53
& nil = X1 ) )
& ( nil != X3
| nil = X2 )
& ( nil != X2
| nil = X3 )
& sK53 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(sK53) ) ),
introduced(choice_axiom,[]) ).
fof(f344,plain,
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( nil != X1
& nil = sK53 )
| ( nil != sK53
& nil = X1 ) )
& ( nil != X3
| nil = X2 )
& ( nil != X2
| nil = X3 )
& sK53 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
=> ( ? [X2] :
( ? [X3] :
( ( ( nil != sK54
& nil = sK53 )
| ( nil != sK53
& nil = sK54 ) )
& ( nil != X3
| nil = X2 )
& ( nil != X2
| nil = X3 )
& sK53 = X2
& sK54 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(sK54) ) ),
introduced(choice_axiom,[]) ).
fof(f345,plain,
( ? [X2] :
( ? [X3] :
( ( ( nil != sK54
& nil = sK53 )
| ( nil != sK53
& nil = sK54 ) )
& ( nil != X3
| nil = X2 )
& ( nil != X2
| nil = X3 )
& sK53 = X2
& sK54 = X3
& ssList(X3) )
& ssList(X2) )
=> ( ? [X3] :
( ( ( nil != sK54
& nil = sK53 )
| ( nil != sK53
& nil = sK54 ) )
& ( nil != X3
| nil = sK55 )
& ( nil != sK55
| nil = X3 )
& sK53 = sK55
& sK54 = X3
& ssList(X3) )
& ssList(sK55) ) ),
introduced(choice_axiom,[]) ).
fof(f346,plain,
( ? [X3] :
( ( ( nil != sK54
& nil = sK53 )
| ( nil != sK53
& nil = sK54 ) )
& ( nil != X3
| nil = sK55 )
& ( nil != sK55
| nil = X3 )
& sK53 = sK55
& sK54 = X3
& ssList(X3) )
=> ( ( ( nil != sK54
& nil = sK53 )
| ( nil != sK53
& nil = sK54 ) )
& ( nil != sK56
| nil = sK55 )
& ( nil != sK55
| nil = sK56 )
& sK53 = sK55
& sK54 = sK56
& ssList(sK56) ) ),
introduced(choice_axiom,[]) ).
fof(f347,plain,
( ( ( nil != sK54
& nil = sK53 )
| ( nil != sK53
& nil = sK54 ) )
& ( nil != sK56
| nil = sK55 )
& ( nil != sK55
| nil = sK56 )
& sK53 = sK55
& sK54 = sK56
& ssList(sK56)
& ssList(sK55)
& ssList(sK54)
& ssList(sK53) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK53,sK54,sK55,sK56])],[f222,f346,f345,f344,f343]) ).
fof(f551,plain,
sK54 = sK56,
inference(cnf_transformation,[],[f347]) ).
fof(f552,plain,
sK53 = sK55,
inference(cnf_transformation,[],[f347]) ).
fof(f553,plain,
( nil != sK55
| nil = sK56 ),
inference(cnf_transformation,[],[f347]) ).
fof(f554,plain,
( nil != sK56
| nil = sK55 ),
inference(cnf_transformation,[],[f347]) ).
fof(f555,plain,
( nil = sK53
| nil = sK54 ),
inference(cnf_transformation,[],[f347]) ).
fof(f558,plain,
( nil != sK54
| nil != sK53 ),
inference(cnf_transformation,[],[f347]) ).
fof(f559,plain,
( nil != sK56
| nil != sK55 ),
inference(definition_unfolding,[],[f558,f551,f552]) ).
fof(f562,plain,
( nil = sK55
| nil = sK56 ),
inference(definition_unfolding,[],[f555,f552,f551]) ).
cnf(c_246,negated_conjecture,
( nil != sK56
| nil != sK55 ),
inference(cnf_transformation,[],[f559]) ).
cnf(c_247,negated_conjecture,
( nil = sK56
| nil = sK55 ),
inference(cnf_transformation,[],[f562]) ).
cnf(c_248,negated_conjecture,
( nil != sK56
| nil = sK55 ),
inference(cnf_transformation,[],[f554]) ).
cnf(c_249,negated_conjecture,
( nil != sK55
| nil = sK56 ),
inference(cnf_transformation,[],[f553]) ).
cnf(c_360,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_246,c_248,c_249,c_247]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWC026+1 : TPTP v8.1.2. Released v2.4.0.
% 0.11/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n005.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 : Mon Aug 28 15:07:23 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.47 Running first-order theorem proving
% 0.20/0.47 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 1.11/1.15 % SZS status Started for theBenchmark.p
% 1.11/1.15 % SZS status Theorem for theBenchmark.p
% 1.11/1.15
% 1.11/1.15 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 1.11/1.15
% 1.11/1.15 ------ iProver source info
% 1.11/1.15
% 1.11/1.15 git: date: 2023-05-31 18:12:56 +0000
% 1.11/1.15 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 1.11/1.15 git: non_committed_changes: false
% 1.11/1.15 git: last_make_outside_of_git: false
% 1.11/1.15
% 1.11/1.15 ------ Parsing...
% 1.11/1.15 ------ Clausification by vclausify_rel & Parsing by iProver...
% 1.11/1.15
% 1.11/1.15 ------ Preprocessing...
% 1.11/1.15
% 1.11/1.15 % SZS status Theorem for theBenchmark.p
% 1.11/1.15
% 1.11/1.15 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.11/1.15
% 1.11/1.15
%------------------------------------------------------------------------------