TSTP Solution File: SYO580+1 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SYO580+1 : TPTP v8.1.2. Released v5.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n008.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 04:40:11 EDT 2023
% Result : Theorem 3.34s 1.21s
% Output : CNFRefutation 3.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 9
% Syntax : Number of formulae : 46 ( 6 unt; 0 def)
% Number of atoms : 180 ( 0 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 204 ( 70 ~; 59 |; 51 &)
% ( 5 <=>; 18 =>; 0 <=; 1 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-1 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 62 ( 0 sgn; 33 !; 22 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f132,axiom,
! [X131] :
( b48_buttercup10305(X131)
=> b48_buttercup10300(X131) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_132) ).
fof(f320,axiom,
( ? [X320] :
( ~ b48_buttercup10305(X320)
& k04_buttercup10303(X320) )
& ! [X319] :
( b48_buttercup10305(X319)
=> k04_buttercup10303(X319) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_320) ).
fof(f322,axiom,
! [X322] :
( k04_buttercup10303(X322)
<=> b48_buttercup10300(X322) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_322) ).
fof(f886,conjecture,
( ! [X1060] :
( b48_buttercup10305(X1060)
=> ~ k04_buttercup10303(X1060) )
| ( ? [X1059] :
( ~ b48_buttercup10305(X1059)
& k04_buttercup10303(X1059) )
& ! [X1058] :
( b48_buttercup10305(X1058)
=> k04_buttercup10303(X1058) ) )
| ( ? [X1057] :
( ~ k04_buttercup10303(X1057)
& b48_buttercup10305(X1057) )
& ! [X1056] :
( k04_buttercup10303(X1056)
=> b48_buttercup10305(X1056) ) )
| ! [X1055] :
( b48_buttercup10305(X1055)
<=> k04_buttercup10303(X1055) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_886) ).
fof(f887,negated_conjecture,
~ ( ! [X1060] :
( b48_buttercup10305(X1060)
=> ~ k04_buttercup10303(X1060) )
| ( ? [X1059] :
( ~ b48_buttercup10305(X1059)
& k04_buttercup10303(X1059) )
& ! [X1058] :
( b48_buttercup10305(X1058)
=> k04_buttercup10303(X1058) ) )
| ( ? [X1057] :
( ~ k04_buttercup10303(X1057)
& b48_buttercup10305(X1057) )
& ! [X1056] :
( k04_buttercup10303(X1056)
=> b48_buttercup10305(X1056) ) )
| ! [X1055] :
( b48_buttercup10305(X1055)
<=> k04_buttercup10303(X1055) ) ),
inference(negated_conjecture,[],[f886]) ).
fof(f1018,plain,
! [X0] :
( b48_buttercup10305(X0)
=> b48_buttercup10300(X0) ),
inference(rectify,[],[f132]) ).
fof(f1206,plain,
( ? [X0] :
( ~ b48_buttercup10305(X0)
& k04_buttercup10303(X0) )
& ! [X1] :
( b48_buttercup10305(X1)
=> k04_buttercup10303(X1) ) ),
inference(rectify,[],[f320]) ).
fof(f1208,plain,
! [X0] :
( k04_buttercup10303(X0)
<=> b48_buttercup10300(X0) ),
inference(rectify,[],[f322]) ).
fof(f1772,plain,
~ ( ! [X0] :
( b48_buttercup10305(X0)
=> ~ k04_buttercup10303(X0) )
| ( ? [X1] :
( ~ b48_buttercup10305(X1)
& k04_buttercup10303(X1) )
& ! [X2] :
( b48_buttercup10305(X2)
=> k04_buttercup10303(X2) ) )
| ( ? [X3] :
( ~ k04_buttercup10303(X3)
& b48_buttercup10305(X3) )
& ! [X4] :
( k04_buttercup10303(X4)
=> b48_buttercup10305(X4) ) )
| ! [X5] :
( b48_buttercup10305(X5)
<=> k04_buttercup10303(X5) ) ),
inference(rectify,[],[f887]) ).
fof(f2113,plain,
! [X0] :
( b48_buttercup10300(X0)
| ~ b48_buttercup10305(X0) ),
inference(ennf_transformation,[],[f1018]) ).
fof(f2176,plain,
( ? [X0] :
( ~ b48_buttercup10305(X0)
& k04_buttercup10303(X0) )
& ! [X1] :
( k04_buttercup10303(X1)
| ~ b48_buttercup10305(X1) ) ),
inference(ennf_transformation,[],[f1206]) ).
fof(f2253,plain,
( ? [X0] :
( k04_buttercup10303(X0)
& b48_buttercup10305(X0) )
& ( ! [X1] :
( b48_buttercup10305(X1)
| ~ k04_buttercup10303(X1) )
| ? [X2] :
( ~ k04_buttercup10303(X2)
& b48_buttercup10305(X2) ) )
& ( ! [X3] :
( k04_buttercup10303(X3)
| ~ b48_buttercup10305(X3) )
| ? [X4] :
( ~ b48_buttercup10305(X4)
& k04_buttercup10303(X4) ) )
& ? [X5] :
( b48_buttercup10305(X5)
<~> k04_buttercup10303(X5) ) ),
inference(ennf_transformation,[],[f1772]) ).
fof(f2290,plain,
( ? [X0] :
( ~ b48_buttercup10305(X0)
& k04_buttercup10303(X0) )
=> ( ~ b48_buttercup10305(sK24)
& k04_buttercup10303(sK24) ) ),
introduced(choice_axiom,[]) ).
fof(f2291,plain,
( ~ b48_buttercup10305(sK24)
& k04_buttercup10303(sK24)
& ! [X1] :
( k04_buttercup10303(X1)
| ~ b48_buttercup10305(X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK24])],[f2176,f2290]) ).
fof(f2293,plain,
! [X0] :
( ( k04_buttercup10303(X0)
| ~ b48_buttercup10300(X0) )
& ( b48_buttercup10300(X0)
| ~ k04_buttercup10303(X0) ) ),
inference(nnf_transformation,[],[f1208]) ).
fof(f3291,plain,
( ? [X0] :
( k04_buttercup10303(X0)
& b48_buttercup10305(X0) )
& ( ! [X1] :
( b48_buttercup10305(X1)
| ~ k04_buttercup10303(X1) )
| ? [X2] :
( ~ k04_buttercup10303(X2)
& b48_buttercup10305(X2) ) )
& ( ! [X3] :
( k04_buttercup10303(X3)
| ~ b48_buttercup10305(X3) )
| ? [X4] :
( ~ b48_buttercup10305(X4)
& k04_buttercup10303(X4) ) )
& ? [X5] :
( ( ~ k04_buttercup10303(X5)
| ~ b48_buttercup10305(X5) )
& ( k04_buttercup10303(X5)
| b48_buttercup10305(X5) ) ) ),
inference(nnf_transformation,[],[f2253]) ).
fof(f3292,plain,
( ? [X0] :
( k04_buttercup10303(X0)
& b48_buttercup10305(X0) )
=> ( k04_buttercup10303(sK481)
& b48_buttercup10305(sK481) ) ),
introduced(choice_axiom,[]) ).
fof(f3293,plain,
( ? [X2] :
( ~ k04_buttercup10303(X2)
& b48_buttercup10305(X2) )
=> ( ~ k04_buttercup10303(sK482)
& b48_buttercup10305(sK482) ) ),
introduced(choice_axiom,[]) ).
fof(f3294,plain,
( ? [X4] :
( ~ b48_buttercup10305(X4)
& k04_buttercup10303(X4) )
=> ( ~ b48_buttercup10305(sK483)
& k04_buttercup10303(sK483) ) ),
introduced(choice_axiom,[]) ).
fof(f3295,plain,
( ? [X5] :
( ( ~ k04_buttercup10303(X5)
| ~ b48_buttercup10305(X5) )
& ( k04_buttercup10303(X5)
| b48_buttercup10305(X5) ) )
=> ( ( ~ k04_buttercup10303(sK484)
| ~ b48_buttercup10305(sK484) )
& ( k04_buttercup10303(sK484)
| b48_buttercup10305(sK484) ) ) ),
introduced(choice_axiom,[]) ).
fof(f3296,plain,
( k04_buttercup10303(sK481)
& b48_buttercup10305(sK481)
& ( ! [X1] :
( b48_buttercup10305(X1)
| ~ k04_buttercup10303(X1) )
| ( ~ k04_buttercup10303(sK482)
& b48_buttercup10305(sK482) ) )
& ( ! [X3] :
( k04_buttercup10303(X3)
| ~ b48_buttercup10305(X3) )
| ( ~ b48_buttercup10305(sK483)
& k04_buttercup10303(sK483) ) )
& ( ~ k04_buttercup10303(sK484)
| ~ b48_buttercup10305(sK484) )
& ( k04_buttercup10303(sK484)
| b48_buttercup10305(sK484) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK481,sK482,sK483,sK484])],[f3291,f3295,f3294,f3293,f3292]) ).
fof(f3428,plain,
! [X0] :
( b48_buttercup10300(X0)
| ~ b48_buttercup10305(X0) ),
inference(cnf_transformation,[],[f2113]) ).
fof(f3491,plain,
! [X1] :
( k04_buttercup10303(X1)
| ~ b48_buttercup10305(X1) ),
inference(cnf_transformation,[],[f2291]) ).
fof(f3497,plain,
! [X0] :
( k04_buttercup10303(X0)
| ~ b48_buttercup10300(X0) ),
inference(cnf_transformation,[],[f2293]) ).
fof(f4380,plain,
( k04_buttercup10303(sK484)
| b48_buttercup10305(sK484) ),
inference(cnf_transformation,[],[f3296]) ).
fof(f4381,plain,
( ~ k04_buttercup10303(sK484)
| ~ b48_buttercup10305(sK484) ),
inference(cnf_transformation,[],[f3296]) ).
fof(f4384,plain,
! [X1] :
( b48_buttercup10305(X1)
| ~ k04_buttercup10303(X1)
| b48_buttercup10305(sK482) ),
inference(cnf_transformation,[],[f3296]) ).
fof(f4385,plain,
! [X1] :
( b48_buttercup10305(X1)
| ~ k04_buttercup10303(X1)
| ~ k04_buttercup10303(sK482) ),
inference(cnf_transformation,[],[f3296]) ).
cnf(c_180,plain,
( ~ b48_buttercup10305(X0)
| b48_buttercup10300(X0) ),
inference(cnf_transformation,[],[f3428]) ).
cnf(c_245,plain,
( ~ b48_buttercup10305(X0)
| k04_buttercup10303(X0) ),
inference(cnf_transformation,[],[f3491]) ).
cnf(c_248,plain,
( ~ b48_buttercup10300(X0)
| k04_buttercup10303(X0) ),
inference(cnf_transformation,[],[f3497]) ).
cnf(c_1134,negated_conjecture,
( ~ k04_buttercup10303(X0)
| ~ k04_buttercup10303(sK482)
| b48_buttercup10305(X0) ),
inference(cnf_transformation,[],[f4385]) ).
cnf(c_1135,negated_conjecture,
( ~ k04_buttercup10303(X0)
| b48_buttercup10305(X0)
| b48_buttercup10305(sK482) ),
inference(cnf_transformation,[],[f4384]) ).
cnf(c_1138,negated_conjecture,
( ~ k04_buttercup10303(sK484)
| ~ b48_buttercup10305(sK484) ),
inference(cnf_transformation,[],[f4381]) ).
cnf(c_1139,negated_conjecture,
( k04_buttercup10303(sK484)
| b48_buttercup10305(sK484) ),
inference(cnf_transformation,[],[f4380]) ).
cnf(c_1410,plain,
( ~ b48_buttercup10305(sK484)
| k04_buttercup10303(sK484) ),
inference(instantiation,[status(thm)],[c_245]) ).
cnf(c_1605,plain,
( ~ k04_buttercup10303(sK484)
| b48_buttercup10305(sK482)
| b48_buttercup10305(sK484) ),
inference(instantiation,[status(thm)],[c_1135]) ).
cnf(c_1618,plain,
( ~ k04_buttercup10303(sK482)
| ~ k04_buttercup10303(sK484)
| b48_buttercup10305(sK484) ),
inference(instantiation,[status(thm)],[c_1134]) ).
cnf(c_1643,negated_conjecture,
k04_buttercup10303(sK484),
inference(global_subsumption_just,[status(thm)],[c_1139,c_1139,c_1410]) ).
cnf(c_1649,negated_conjecture,
b48_buttercup10305(sK482),
inference(global_subsumption_just,[status(thm)],[c_1135,c_1139,c_1410,c_1138,c_1605]) ).
cnf(c_1653,negated_conjecture,
~ k04_buttercup10303(sK482),
inference(global_subsumption_just,[status(thm)],[c_1134,c_1138,c_1618,c_1643]) ).
cnf(c_1869,plain,
( ~ b48_buttercup10300(X0)
| k04_buttercup10303(X0) ),
inference(prop_impl_just,[status(thm)],[c_248]) ).
cnf(c_2231,plain,
( ~ b48_buttercup10305(X0)
| b48_buttercup10300(X0) ),
inference(prop_impl_just,[status(thm)],[c_180]) ).
cnf(c_10012,plain,
b48_buttercup10300(sK482),
inference(resolution,[status(thm)],[c_2231,c_1649]) ).
cnf(c_11055,plain,
~ b48_buttercup10300(sK482),
inference(resolution,[status(thm)],[c_1869,c_1653]) ).
cnf(c_11056,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_11055,c_10012]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYO580+1 : TPTP v8.1.2. Released v5.5.0.
% 0.00/0.14 % Command : run_iprover %s %d THM
% 0.15/0.36 % Computer : n008.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Sat Aug 26 07:20:48 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.23/0.51 Running first-order theorem proving
% 0.23/0.51 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.34/1.21 % SZS status Started for theBenchmark.p
% 3.34/1.21 % SZS status Theorem for theBenchmark.p
% 3.34/1.21
% 3.34/1.21 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.34/1.21
% 3.34/1.21 ------ iProver source info
% 3.34/1.21
% 3.34/1.21 git: date: 2023-05-31 18:12:56 +0000
% 3.34/1.21 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.34/1.21 git: non_committed_changes: false
% 3.34/1.21 git: last_make_outside_of_git: false
% 3.34/1.21
% 3.34/1.21 ------ Parsing...
% 3.34/1.21 ------ Clausification by vclausify_rel & Parsing by iProver...------ preprocesses with Option_epr_non_horn_non_eq
% 3.34/1.21
% 3.34/1.21
% 3.34/1.21 ------ Preprocessing... sf_s rm: 55 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe:16:0s pe:32:0s pe:64:0s pe:128:0s pe:256:0s
% 3.34/1.21
% 3.34/1.21 % SZS status Theorem for theBenchmark.p
% 3.34/1.21
% 3.34/1.21 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.34/1.21
% 3.34/1.21
%------------------------------------------------------------------------------