TSTP Solution File: SWV888-1 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SWV888-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n028.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 Sep 29 15:24:51 EDT 2022
% Result : Unsatisfiable 0.20s 0.40s
% Output : Proof 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 18
% Syntax : Number of formulae : 28 ( 7 unt; 8 typ; 0 def)
% Number of atoms : 57 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 66 ( 31 ~; 27 |; 0 &)
% ( 8 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of FOOLs : 2 ( 2 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 7 ( 4 >; 3 *; 0 +; 0 <<)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 51 ( 45 !; 0 ?; 51 :)
% Comments :
%------------------------------------------------------------------------------
tff(c_Natural_Oevalc_type,type,
c_Natural_Oevalc: ( $i * $i * $i ) > $o ).
tff(v_xa_type,type,
v_xa: $i ).
tff(v_x_type,type,
v_x: $i ).
tff(c_Com_Ocom_OBODY_type,type,
c_Com_Ocom_OBODY: $i > $i ).
tff(v_pn_type,type,
v_pn: $i ).
tff(c_Option_Othe_type,type,
c_Option_Othe: ( $i * $i ) > $i ).
tff(tc_Com_Ocom_type,type,
tc_Com_Ocom: $i ).
tff(c_Com_Obody_type,type,
c_Com_Obody: $i > $i ).
tff(1,plain,
( ~ c_Natural_Oevalc(c_Com_Ocom_OBODY(v_pn),v_x,v_xa)
<=> ~ c_Natural_Oevalc(c_Com_Ocom_OBODY(v_pn),v_x,v_xa) ),
inference(rewrite,[status(thm)],]) ).
tff(2,axiom,
~ c_Natural_Oevalc(c_Com_Ocom_OBODY(v_pn),v_x,v_xa),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
tff(3,plain,
~ c_Natural_Oevalc(c_Com_Ocom_OBODY(v_pn),v_x,v_xa),
inference(modus_ponens,[status(thm)],[2,1]) ).
tff(4,plain,
( c_Natural_Oevalc(c_Option_Othe(c_Com_Obody(v_pn),tc_Com_Ocom),v_x,v_xa)
<=> c_Natural_Oevalc(c_Option_Othe(c_Com_Obody(v_pn),tc_Com_Ocom),v_x,v_xa) ),
inference(rewrite,[status(thm)],]) ).
tff(5,axiom,
c_Natural_Oevalc(c_Option_Othe(c_Com_Obody(v_pn),tc_Com_Ocom),v_x,v_xa),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
tff(6,plain,
c_Natural_Oevalc(c_Option_Othe(c_Com_Obody(v_pn),tc_Com_Ocom),v_x,v_xa),
inference(modus_ponens,[status(thm)],[5,4]) ).
tff(7,plain,
^ [V_s0: $i,V_pn: $i,V_s1: $i] :
refl(
( ( ~ c_Natural_Oevalc(c_Option_Othe(c_Com_Obody(V_pn),tc_Com_Ocom),V_s0,V_s1)
| c_Natural_Oevalc(c_Com_Ocom_OBODY(V_pn),V_s0,V_s1) )
<=> ( ~ c_Natural_Oevalc(c_Option_Othe(c_Com_Obody(V_pn),tc_Com_Ocom),V_s0,V_s1)
| c_Natural_Oevalc(c_Com_Ocom_OBODY(V_pn),V_s0,V_s1) ) )),
inference(bind,[status(th)],]) ).
tff(8,plain,
( ! [V_s0: $i,V_pn: $i,V_s1: $i] :
( ~ c_Natural_Oevalc(c_Option_Othe(c_Com_Obody(V_pn),tc_Com_Ocom),V_s0,V_s1)
| c_Natural_Oevalc(c_Com_Ocom_OBODY(V_pn),V_s0,V_s1) )
<=> ! [V_s0: $i,V_pn: $i,V_s1: $i] :
( ~ c_Natural_Oevalc(c_Option_Othe(c_Com_Obody(V_pn),tc_Com_Ocom),V_s0,V_s1)
| c_Natural_Oevalc(c_Com_Ocom_OBODY(V_pn),V_s0,V_s1) ) ),
inference(quant_intro,[status(thm)],[7]) ).
tff(9,plain,
( ! [V_s0: $i,V_pn: $i,V_s1: $i] :
( ~ c_Natural_Oevalc(c_Option_Othe(c_Com_Obody(V_pn),tc_Com_Ocom),V_s0,V_s1)
| c_Natural_Oevalc(c_Com_Ocom_OBODY(V_pn),V_s0,V_s1) )
<=> ! [V_s0: $i,V_pn: $i,V_s1: $i] :
( ~ c_Natural_Oevalc(c_Option_Othe(c_Com_Obody(V_pn),tc_Com_Ocom),V_s0,V_s1)
| c_Natural_Oevalc(c_Com_Ocom_OBODY(V_pn),V_s0,V_s1) ) ),
inference(rewrite,[status(thm)],]) ).
tff(10,plain,
^ [V_s0: $i,V_pn: $i,V_s1: $i] :
rewrite(
( ( c_Natural_Oevalc(c_Com_Ocom_OBODY(V_pn),V_s0,V_s1)
| ~ c_Natural_Oevalc(c_Option_Othe(c_Com_Obody(V_pn),tc_Com_Ocom),V_s0,V_s1) )
<=> ( ~ c_Natural_Oevalc(c_Option_Othe(c_Com_Obody(V_pn),tc_Com_Ocom),V_s0,V_s1)
| c_Natural_Oevalc(c_Com_Ocom_OBODY(V_pn),V_s0,V_s1) ) )),
inference(bind,[status(th)],]) ).
tff(11,plain,
( ! [V_s0: $i,V_pn: $i,V_s1: $i] :
( c_Natural_Oevalc(c_Com_Ocom_OBODY(V_pn),V_s0,V_s1)
| ~ c_Natural_Oevalc(c_Option_Othe(c_Com_Obody(V_pn),tc_Com_Ocom),V_s0,V_s1) )
<=> ! [V_s0: $i,V_pn: $i,V_s1: $i] :
( ~ c_Natural_Oevalc(c_Option_Othe(c_Com_Obody(V_pn),tc_Com_Ocom),V_s0,V_s1)
| c_Natural_Oevalc(c_Com_Ocom_OBODY(V_pn),V_s0,V_s1) ) ),
inference(quant_intro,[status(thm)],[10]) ).
tff(12,axiom,
! [V_s0: $i,V_pn: $i,V_s1: $i] :
( c_Natural_Oevalc(c_Com_Ocom_OBODY(V_pn),V_s0,V_s1)
| ~ c_Natural_Oevalc(c_Option_Othe(c_Com_Obody(V_pn),tc_Com_Ocom),V_s0,V_s1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_evalc_OBody_0) ).
tff(13,plain,
! [V_s0: $i,V_pn: $i,V_s1: $i] :
( ~ c_Natural_Oevalc(c_Option_Othe(c_Com_Obody(V_pn),tc_Com_Ocom),V_s0,V_s1)
| c_Natural_Oevalc(c_Com_Ocom_OBODY(V_pn),V_s0,V_s1) ),
inference(modus_ponens,[status(thm)],[12,11]) ).
tff(14,plain,
! [V_s0: $i,V_pn: $i,V_s1: $i] :
( ~ c_Natural_Oevalc(c_Option_Othe(c_Com_Obody(V_pn),tc_Com_Ocom),V_s0,V_s1)
| c_Natural_Oevalc(c_Com_Ocom_OBODY(V_pn),V_s0,V_s1) ),
inference(modus_ponens,[status(thm)],[13,9]) ).
tff(15,plain,
! [V_s0: $i,V_pn: $i,V_s1: $i] :
( ~ c_Natural_Oevalc(c_Option_Othe(c_Com_Obody(V_pn),tc_Com_Ocom),V_s0,V_s1)
| c_Natural_Oevalc(c_Com_Ocom_OBODY(V_pn),V_s0,V_s1) ),
inference(skolemize,[status(sab)],[14]) ).
tff(16,plain,
! [V_s0: $i,V_pn: $i,V_s1: $i] :
( ~ c_Natural_Oevalc(c_Option_Othe(c_Com_Obody(V_pn),tc_Com_Ocom),V_s0,V_s1)
| c_Natural_Oevalc(c_Com_Ocom_OBODY(V_pn),V_s0,V_s1) ),
inference(modus_ponens,[status(thm)],[15,8]) ).
tff(17,plain,
( ( ~ ! [V_s0: $i,V_pn: $i,V_s1: $i] :
( ~ c_Natural_Oevalc(c_Option_Othe(c_Com_Obody(V_pn),tc_Com_Ocom),V_s0,V_s1)
| c_Natural_Oevalc(c_Com_Ocom_OBODY(V_pn),V_s0,V_s1) )
| ~ c_Natural_Oevalc(c_Option_Othe(c_Com_Obody(v_pn),tc_Com_Ocom),v_x,v_xa)
| c_Natural_Oevalc(c_Com_Ocom_OBODY(v_pn),v_x,v_xa) )
<=> ( ~ ! [V_s0: $i,V_pn: $i,V_s1: $i] :
( ~ c_Natural_Oevalc(c_Option_Othe(c_Com_Obody(V_pn),tc_Com_Ocom),V_s0,V_s1)
| c_Natural_Oevalc(c_Com_Ocom_OBODY(V_pn),V_s0,V_s1) )
| ~ c_Natural_Oevalc(c_Option_Othe(c_Com_Obody(v_pn),tc_Com_Ocom),v_x,v_xa)
| c_Natural_Oevalc(c_Com_Ocom_OBODY(v_pn),v_x,v_xa) ) ),
inference(rewrite,[status(thm)],]) ).
tff(18,plain,
( ~ ! [V_s0: $i,V_pn: $i,V_s1: $i] :
( ~ c_Natural_Oevalc(c_Option_Othe(c_Com_Obody(V_pn),tc_Com_Ocom),V_s0,V_s1)
| c_Natural_Oevalc(c_Com_Ocom_OBODY(V_pn),V_s0,V_s1) )
| ~ c_Natural_Oevalc(c_Option_Othe(c_Com_Obody(v_pn),tc_Com_Ocom),v_x,v_xa)
| c_Natural_Oevalc(c_Com_Ocom_OBODY(v_pn),v_x,v_xa) ),
inference(quant_inst,[status(thm)],]) ).
tff(19,plain,
( ~ ! [V_s0: $i,V_pn: $i,V_s1: $i] :
( ~ c_Natural_Oevalc(c_Option_Othe(c_Com_Obody(V_pn),tc_Com_Ocom),V_s0,V_s1)
| c_Natural_Oevalc(c_Com_Ocom_OBODY(V_pn),V_s0,V_s1) )
| ~ c_Natural_Oevalc(c_Option_Othe(c_Com_Obody(v_pn),tc_Com_Ocom),v_x,v_xa)
| c_Natural_Oevalc(c_Com_Ocom_OBODY(v_pn),v_x,v_xa) ),
inference(modus_ponens,[status(thm)],[18,17]) ).
tff(20,plain,
$false,
inference(unit_resolution,[status(thm)],[19,16,6,3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV888-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.34 % Computer : n028.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 : Sun Sep 4 09:26:09 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.35 Usage: tptp [options] [-file:]file
% 0.13/0.35 -h, -? prints this message.
% 0.13/0.35 -smt2 print SMT-LIB2 benchmark.
% 0.13/0.35 -m, -model generate model.
% 0.13/0.35 -p, -proof generate proof.
% 0.13/0.35 -c, -core generate unsat core of named formulas.
% 0.13/0.35 -st, -statistics display statistics.
% 0.13/0.35 -t:timeout set timeout (in second).
% 0.13/0.35 -smt2status display status in smt2 format instead of SZS.
% 0.13/0.35 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.35 -<param>:<value> configuration parameter and value.
% 0.13/0.35 -o:<output-file> file to place output in.
% 0.20/0.40 % SZS status Unsatisfiable
% 0.20/0.40 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------