TSTP Solution File: SWW196+1 by Z3---4.8.9.0
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%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SWW196+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% 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 Sep 29 20:57:52 EDT 2022
% Result : Theorem 0.20s 0.58s
% Output : Proof 0.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 15
% Syntax : Number of formulae : 28 ( 4 unt; 8 typ; 0 def)
% Number of atoms : 44 ( 15 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 41 ( 17 ~; 9 |; 0 &)
% ( 13 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 7 ( 4 >; 3 *; 0 +; 0 <<)
% Number of predicates : 4 ( 1 usr; 3 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 15 ( 0 !; 15 ?; 15 :)
% Comments :
%------------------------------------------------------------------------------
tff(v_thesis_____type,type,
v_thesis____: $o ).
tff(c_Groups_Otimes__class_Otimes_type,type,
c_Groups_Otimes__class_Otimes: ( $i * $i * $i ) > $i ).
tff(c_Int_Onumber__class_Onumber__of_type,type,
c_Int_Onumber__class_Onumber__of: ( $i * $i ) > $i ).
tff(c_Int_OBit0_type,type,
c_Int_OBit0: $i > $i ).
tff(c_Int_OBit1_type,type,
c_Int_OBit1: $i > $i ).
tff(c_Int_OPls_type,type,
c_Int_OPls: $i ).
tff(tc_Nat_Onat_type,type,
tc_Nat_Onat: $i ).
tff(v_na_____type,type,
v_na____: $i ).
tff(1,plain,
( ~ $true
<=> $false ),
inference(rewrite,[status(thm)],]) ).
tff(2,plain,
( ( v_thesis____
| $false )
<=> v_thesis____ ),
inference(rewrite,[status(thm)],]) ).
tff(3,axiom,
? [B_m: $i] : ( v_na____ = c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),B_m) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact__096EX_Am_O_An_A_061_A2_A_K_Am_096) ).
tff(4,plain,
( ? [B_m: $i] : ( v_na____ = c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),B_m) )
<=> $true ),
inference(iff_true,[status(thm)],[3]) ).
tff(5,plain,
( ~ ? [B_m: $i] : ( v_na____ = c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),B_m) )
<=> ~ $true ),
inference(monotonicity,[status(thm)],[4]) ).
tff(6,plain,
( ~ ? [B_m: $i] : ( v_na____ = c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),B_m) )
<=> $false ),
inference(transitivity,[status(thm)],[5,1]) ).
tff(7,plain,
( ( v_thesis____
| ~ ? [B_m: $i] : ( v_na____ = c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),B_m) ) )
<=> ( v_thesis____
| $false ) ),
inference(monotonicity,[status(thm)],[6]) ).
tff(8,plain,
( ( v_thesis____
| ~ ? [B_m: $i] : ( v_na____ = c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),B_m) ) )
<=> v_thesis____ ),
inference(transitivity,[status(thm)],[7,2]) ).
tff(9,plain,
( ~ ? [B_m: $i] : ( v_na____ = c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),B_m) )
<=> ~ ? [B_m: $i] : ( v_na____ = c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),B_m) ) ),
inference(rewrite,[status(thm)],]) ).
tff(10,plain,
( ( v_thesis____
| ~ ? [B_m: $i] : ( v_na____ = c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),B_m) ) )
<=> ( v_thesis____
| ~ ? [B_m: $i] : ( v_na____ = c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),B_m) ) ) ),
inference(monotonicity,[status(thm)],[9]) ).
tff(11,plain,
( ( ? [B_m: $i] : ( v_na____ = c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),B_m) )
=> v_thesis____ )
<=> ( v_thesis____
| ~ ? [B_m: $i] : ( v_na____ = c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),B_m) ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(12,axiom,
( ? [B_m: $i] : ( v_na____ = c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),B_m) )
=> v_thesis____ ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
tff(13,plain,
( v_thesis____
| ~ ? [B_m: $i] : ( v_na____ = c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),B_m) ) ),
inference(modus_ponens,[status(thm)],[12,11]) ).
tff(14,plain,
( v_thesis____
| ~ ? [B_m: $i] : ( v_na____ = c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),B_m) ) ),
inference(modus_ponens,[status(thm)],[13,10]) ).
tff(15,plain,
v_thesis____,
inference(modus_ponens,[status(thm)],[14,8]) ).
tff(16,plain,
( v_thesis____
<=> $true ),
inference(iff_true,[status(thm)],[15]) ).
tff(17,plain,
( ~ v_thesis____
<=> ~ $true ),
inference(monotonicity,[status(thm)],[16]) ).
tff(18,plain,
( ~ v_thesis____
<=> $false ),
inference(transitivity,[status(thm)],[17,1]) ).
tff(19,axiom,
~ v_thesis____,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).
tff(20,plain,
$false,
inference(modus_ponens,[status(thm)],[19,18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SWW196+1 : TPTP v8.1.0. Released v5.2.0.
% 0.10/0.12 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.33 % Computer : n005.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sun Sep 4 12:32:18 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.12/0.34 Usage: tptp [options] [-file:]file
% 0.12/0.34 -h, -? prints this message.
% 0.12/0.34 -smt2 print SMT-LIB2 benchmark.
% 0.12/0.34 -m, -model generate model.
% 0.12/0.34 -p, -proof generate proof.
% 0.12/0.34 -c, -core generate unsat core of named formulas.
% 0.12/0.34 -st, -statistics display statistics.
% 0.12/0.34 -t:timeout set timeout (in second).
% 0.12/0.34 -smt2status display status in smt2 format instead of SZS.
% 0.12/0.34 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.12/0.34 -<param>:<value> configuration parameter and value.
% 0.12/0.34 -o:<output-file> file to place output in.
% 0.20/0.58 % SZS status Theorem
% 0.20/0.58 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------