TSTP Solution File: SYN000_1 by Z3---4.8.9.0
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%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SYN000_1 : TPTP v8.1.0. Released v5.0.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n022.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 23:53:04 EDT 2022
% Result : Theorem 0.22s 0.39s
% Output : Proof 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 9
% Syntax : Number of formulae : 22 ( 16 unt; 2 typ; 0 def)
% Number of atoms : 29 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 27 ( 22 ~; 1 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 4 ( 4 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 1 ( 1 >; 0 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 18 ( 5 !; 11 ?; 18 :)
% Comments :
%------------------------------------------------------------------------------
tff(p_type,type,
p: $i > $o ).
tff(h_type,type,
h: $i ).
tff(1,plain,
^ [X: $i] :
refl(
( ~ p(X)
<=> ~ p(X) )),
inference(bind,[status(th)],]) ).
tff(2,plain,
( ! [X: $i] : ~ p(X)
<=> ! [X: $i] : ~ p(X) ),
inference(quant_intro,[status(thm)],[1]) ).
tff(3,plain,
( ~ ? [X: $i] : p(X)
<=> ~ ? [X: $i] : p(X) ),
inference(rewrite,[status(thm)],]) ).
tff(4,axiom,
~ ? [X: $i] : p(X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',role_conjecture) ).
tff(5,plain,
~ ? [X: $i] : p(X),
inference(modus_ponens,[status(thm)],[4,3]) ).
tff(6,plain,
~ ? [X: $i] : p(X),
inference(modus_ponens,[status(thm)],[5,3]) ).
tff(7,plain,
~ ? [X: $i] : p(X),
inference(modus_ponens,[status(thm)],[6,3]) ).
tff(8,plain,
~ ? [X: $i] : p(X),
inference(modus_ponens,[status(thm)],[7,3]) ).
tff(9,plain,
~ ? [X: $i] : p(X),
inference(modus_ponens,[status(thm)],[8,3]) ).
tff(10,plain,
~ ? [X: $i] : p(X),
inference(modus_ponens,[status(thm)],[9,3]) ).
tff(11,plain,
~ ? [X: $i] : p(X),
inference(modus_ponens,[status(thm)],[10,3]) ).
tff(12,plain,
~ ? [X: $i] : p(X),
inference(modus_ponens,[status(thm)],[11,3]) ).
tff(13,plain,
^ [X: $i] : refl($oeq(~ p(X),~ p(X))),
inference(bind,[status(th)],]) ).
tff(14,plain,
! [X: $i] : ~ p(X),
inference(nnf-neg,[status(sab)],[12,13]) ).
tff(15,plain,
! [X: $i] : ~ p(X),
inference(modus_ponens,[status(thm)],[14,2]) ).
tff(16,plain,
( p(h)
<=> p(h) ),
inference(rewrite,[status(thm)],]) ).
tff(17,axiom,
p(h),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',role_hypothesis) ).
tff(18,plain,
p(h),
inference(modus_ponens,[status(thm)],[17,16]) ).
tff(19,plain,
( ~ ! [X: $i] : ~ p(X)
| ~ p(h) ),
inference(quant_inst,[status(thm)],]) ).
tff(20,plain,
$false,
inference(unit_resolution,[status(thm)],[19,18,15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SYN000_1 : TPTP v8.1.0. Released v5.0.0.
% 0.07/0.14 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.35 % Computer : n022.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 Sep 5 00:38:54 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.36 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.36 Usage: tptp [options] [-file:]file
% 0.13/0.36 -h, -? prints this message.
% 0.13/0.36 -smt2 print SMT-LIB2 benchmark.
% 0.13/0.36 -m, -model generate model.
% 0.13/0.36 -p, -proof generate proof.
% 0.13/0.36 -c, -core generate unsat core of named formulas.
% 0.13/0.36 -st, -statistics display statistics.
% 0.13/0.36 -t:timeout set timeout (in second).
% 0.13/0.36 -smt2status display status in smt2 format instead of SZS.
% 0.13/0.36 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.36 -<param>:<value> configuration parameter and value.
% 0.13/0.36 -o:<output-file> file to place output in.
% 0.22/0.39 % SZS status Theorem
% 0.22/0.39 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------