TSTP Solution File: SWC040+1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SWC040+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n016.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 20:40:31 EDT 2023
% Result : Theorem 0.49s 1.16s
% Output : CNFRefutation 0.49s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f663)
% Comments :
%------------------------------------------------------------------------------
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( neq(X3,nil)
& ! [X4] :
( ssItem(X4)
=> ! [X5] :
( ssList(X5)
=> ( app(X5,cons(X4,nil)) != X3
| app(cons(X4,nil),X5) != X2 ) ) ) )
| ( nil = X3
& nil != X2 )
| nil = X0
| X0 != X2
| X1 != X3
| nil != X1 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( neq(X3,nil)
& ! [X4] :
( ssItem(X4)
=> ! [X5] :
( ssList(X5)
=> ( app(X5,cons(X4,nil)) != X3
| app(cons(X4,nil),X5) != X2 ) ) ) )
| ( nil = X3
& nil != X2 )
| nil = X0
| X0 != X2
| X1 != X3
| nil != X1 ) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f221,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ~ neq(X3,nil)
| ? [X4] :
( ? [X5] :
( app(X5,cons(X4,nil)) = X3
& app(cons(X4,nil),X5) = X2
& ssList(X5) )
& ssItem(X4) ) )
& ( nil != X3
| nil = X2 )
& nil != X0
& X0 = X2
& X1 = X3
& nil = X1
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f222,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ~ neq(X3,nil)
| ? [X4] :
( ? [X5] :
( app(X5,cons(X4,nil)) = X3
& app(cons(X4,nil),X5) = X2
& ssList(X5) )
& ssItem(X4) ) )
& ( nil != X3
| nil = X2 )
& nil != X0
& X0 = X2
& X1 = X3
& nil = X1
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(flattening,[],[f221]) ).
fof(f343,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ~ neq(X3,nil)
| ? [X4] :
( ? [X5] :
( app(X5,cons(X4,nil)) = X3
& app(cons(X4,nil),X5) = X2
& ssList(X5) )
& ssItem(X4) ) )
& ( nil != X3
| nil = X2 )
& nil != X0
& X0 = X2
& X1 = X3
& nil = X1
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) )
=> ( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ~ neq(X3,nil)
| ? [X4] :
( ? [X5] :
( app(X5,cons(X4,nil)) = X3
& app(cons(X4,nil),X5) = X2
& ssList(X5) )
& ssItem(X4) ) )
& ( nil != X3
| nil = X2 )
& nil != sK53
& sK53 = X2
& X1 = X3
& nil = X1
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(sK53) ) ),
introduced(choice_axiom,[]) ).
fof(f344,plain,
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ~ neq(X3,nil)
| ? [X4] :
( ? [X5] :
( app(X5,cons(X4,nil)) = X3
& app(cons(X4,nil),X5) = X2
& ssList(X5) )
& ssItem(X4) ) )
& ( nil != X3
| nil = X2 )
& nil != sK53
& sK53 = X2
& X1 = X3
& nil = X1
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
=> ( ? [X2] :
( ? [X3] :
( ( ~ neq(X3,nil)
| ? [X4] :
( ? [X5] :
( app(X5,cons(X4,nil)) = X3
& app(cons(X4,nil),X5) = X2
& ssList(X5) )
& ssItem(X4) ) )
& ( nil != X3
| nil = X2 )
& nil != sK53
& sK53 = X2
& sK54 = X3
& nil = sK54
& ssList(X3) )
& ssList(X2) )
& ssList(sK54) ) ),
introduced(choice_axiom,[]) ).
fof(f345,plain,
( ? [X2] :
( ? [X3] :
( ( ~ neq(X3,nil)
| ? [X4] :
( ? [X5] :
( app(X5,cons(X4,nil)) = X3
& app(cons(X4,nil),X5) = X2
& ssList(X5) )
& ssItem(X4) ) )
& ( nil != X3
| nil = X2 )
& nil != sK53
& sK53 = X2
& sK54 = X3
& nil = sK54
& ssList(X3) )
& ssList(X2) )
=> ( ? [X3] :
( ( ~ neq(X3,nil)
| ? [X4] :
( ? [X5] :
( app(X5,cons(X4,nil)) = X3
& app(cons(X4,nil),X5) = sK55
& ssList(X5) )
& ssItem(X4) ) )
& ( nil != X3
| nil = sK55 )
& nil != sK53
& sK53 = sK55
& sK54 = X3
& nil = sK54
& ssList(X3) )
& ssList(sK55) ) ),
introduced(choice_axiom,[]) ).
fof(f346,plain,
( ? [X3] :
( ( ~ neq(X3,nil)
| ? [X4] :
( ? [X5] :
( app(X5,cons(X4,nil)) = X3
& app(cons(X4,nil),X5) = sK55
& ssList(X5) )
& ssItem(X4) ) )
& ( nil != X3
| nil = sK55 )
& nil != sK53
& sK53 = sK55
& sK54 = X3
& nil = sK54
& ssList(X3) )
=> ( ( ~ neq(sK56,nil)
| ? [X4] :
( ? [X5] :
( app(X5,cons(X4,nil)) = sK56
& app(cons(X4,nil),X5) = sK55
& ssList(X5) )
& ssItem(X4) ) )
& ( nil != sK56
| nil = sK55 )
& nil != sK53
& sK53 = sK55
& sK54 = sK56
& nil = sK54
& ssList(sK56) ) ),
introduced(choice_axiom,[]) ).
fof(f347,plain,
( ? [X4] :
( ? [X5] :
( app(X5,cons(X4,nil)) = sK56
& app(cons(X4,nil),X5) = sK55
& ssList(X5) )
& ssItem(X4) )
=> ( ? [X5] :
( sK56 = app(X5,cons(sK57,nil))
& sK55 = app(cons(sK57,nil),X5)
& ssList(X5) )
& ssItem(sK57) ) ),
introduced(choice_axiom,[]) ).
fof(f348,plain,
( ? [X5] :
( sK56 = app(X5,cons(sK57,nil))
& sK55 = app(cons(sK57,nil),X5)
& ssList(X5) )
=> ( sK56 = app(sK58,cons(sK57,nil))
& sK55 = app(cons(sK57,nil),sK58)
& ssList(sK58) ) ),
introduced(choice_axiom,[]) ).
fof(f349,plain,
( ( ~ neq(sK56,nil)
| ( sK56 = app(sK58,cons(sK57,nil))
& sK55 = app(cons(sK57,nil),sK58)
& ssList(sK58)
& ssItem(sK57) ) )
& ( nil != sK56
| nil = sK55 )
& nil != sK53
& sK53 = sK55
& sK54 = sK56
& nil = sK54
& ssList(sK56)
& ssList(sK55)
& ssList(sK54)
& ssList(sK53) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK53,sK54,sK55,sK56,sK57,sK58])],[f222,f348,f347,f346,f345,f344,f343]) ).
fof(f553,plain,
nil = sK54,
inference(cnf_transformation,[],[f349]) ).
fof(f554,plain,
sK54 = sK56,
inference(cnf_transformation,[],[f349]) ).
fof(f555,plain,
sK53 = sK55,
inference(cnf_transformation,[],[f349]) ).
fof(f556,plain,
nil != sK53,
inference(cnf_transformation,[],[f349]) ).
fof(f562,plain,
nil = sK56,
inference(definition_unfolding,[],[f553,f554]) ).
fof(f626,plain,
sK55 != sK56,
inference(definition_unfolding,[],[f556,f562,f555]) ).
cnf(c_250,negated_conjecture,
sK56 = sK55,
inference(cnf_transformation,[],[f663]) ).
cnf(c_251,negated_conjecture,
sK56 != sK55,
inference(cnf_transformation,[],[f626]) ).
cnf(c_256,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_251,c_250]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWC040+1 : TPTP v8.1.2. Released v2.4.0.
% 0.06/0.13 % Command : run_iprover %s %d THM
% 0.13/0.35 % Computer : n016.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 28 16:01:30 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.21/0.48 Running first-order theorem proving
% 0.21/0.48 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.49/1.16 % SZS status Started for theBenchmark.p
% 0.49/1.16 % SZS status Theorem for theBenchmark.p
% 0.49/1.16
% 0.49/1.16 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 0.49/1.16
% 0.49/1.16 ------ iProver source info
% 0.49/1.16
% 0.49/1.16 git: date: 2023-05-31 18:12:56 +0000
% 0.49/1.16 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 0.49/1.16 git: non_committed_changes: false
% 0.49/1.16 git: last_make_outside_of_git: false
% 0.49/1.16
% 0.49/1.16 ------ Parsing...
% 0.49/1.16 ------ Clausification by vclausify_rel & Parsing by iProver...
% 0.49/1.16
% 0.49/1.16 ------ Preprocessing...
% 0.49/1.16
% 0.49/1.16 % SZS status Theorem for theBenchmark.p
% 0.49/1.16
% 0.49/1.16 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.49/1.16
% 0.49/1.16
%------------------------------------------------------------------------------