TSTP Solution File: SWV121+1 by Z3---4.8.9.0
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%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SWV121+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n027.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 15:10:03 EDT 2022
% Result : Theorem 0.13s 0.41s
% Output : Proof 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 14
% Syntax : Number of formulae : 17 ( 3 unt; 11 typ; 0 def)
% Number of atoms : 67 ( 12 equ)
% Maximal formula atoms : 32 ( 11 avg)
% Number of connectives : 74 ( 13 ~; 8 |; 44 &)
% ( 1 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 7 ( 3 >; 4 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 2 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-3 aty)
% Number of variables : 24 ( 24 !; 0 ?; 24 :)
% Comments :
%------------------------------------------------------------------------------
tff(true_type,type,
true: $o ).
tff(a_select3_type,type,
a_select3: ( $i * $i * $i ) > $i ).
tff(pminus_ds1_filter_type,type,
pminus_ds1_filter: $i ).
tff(leq_type,type,
leq: ( $i * $i ) > $o ).
tff(minus_type,type,
minus: ( $i * $i ) > $i ).
tff(n1_type,type,
n1: $i ).
tff(n6_type,type,
n6: $i ).
tff(n0_type,type,
n0: $i ).
tff(r_ds1_filter_type,type,
r_ds1_filter: $i ).
tff(n3_type,type,
n3: $i ).
tff(q_ds1_filter_type,type,
q_ds1_filter: $i ).
tff(1,plain,
( ~ ( ( ! [A: $i,B: $i] :
( ( leq(n0,A)
& leq(n0,B)
& leq(A,minus(n6,n1))
& leq(B,minus(n6,n1)) )
=> ( a_select3(q_ds1_filter,A,B) = a_select3(q_ds1_filter,B,A) ) )
& ! [C: $i,D: $i] :
( ( leq(n0,C)
& leq(n0,D)
& leq(C,minus(n3,n1))
& leq(D,minus(n3,n1)) )
=> ( a_select3(r_ds1_filter,C,D) = a_select3(r_ds1_filter,D,C) ) )
& ! [E: $i,F: $i] :
( ( leq(n0,E)
& leq(n0,F)
& leq(E,minus(n6,n1))
& leq(F,minus(n6,n1)) )
=> ( a_select3(pminus_ds1_filter,E,F) = a_select3(pminus_ds1_filter,F,E) ) ) )
=> true )
<=> ~ ( true
| ~ ( ! [A: $i,B: $i] :
( ~ ( leq(n0,A)
& leq(n0,B)
& leq(A,minus(n6,n1))
& leq(B,minus(n6,n1)) )
| ( a_select3(q_ds1_filter,A,B) = a_select3(q_ds1_filter,B,A) ) )
& ! [C: $i,D: $i] :
( ~ ( leq(n0,C)
& leq(n0,D)
& leq(C,minus(n3,n1))
& leq(D,minus(n3,n1)) )
| ( a_select3(r_ds1_filter,C,D) = a_select3(r_ds1_filter,D,C) ) )
& ! [E: $i,F: $i] :
( ~ ( leq(n0,E)
& leq(n0,F)
& leq(E,minus(n6,n1))
& leq(F,minus(n6,n1)) )
| ( a_select3(pminus_ds1_filter,E,F) = a_select3(pminus_ds1_filter,F,E) ) ) ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(2,axiom,
~ ( ( ! [A: $i,B: $i] :
( ( leq(n0,A)
& leq(n0,B)
& leq(A,minus(n6,n1))
& leq(B,minus(n6,n1)) )
=> ( a_select3(q_ds1_filter,A,B) = a_select3(q_ds1_filter,B,A) ) )
& ! [C: $i,D: $i] :
( ( leq(n0,C)
& leq(n0,D)
& leq(C,minus(n3,n1))
& leq(D,minus(n3,n1)) )
=> ( a_select3(r_ds1_filter,C,D) = a_select3(r_ds1_filter,D,C) ) )
& ! [E: $i,F: $i] :
( ( leq(n0,E)
& leq(n0,F)
& leq(E,minus(n6,n1))
& leq(F,minus(n6,n1)) )
=> ( a_select3(pminus_ds1_filter,E,F) = a_select3(pminus_ds1_filter,F,E) ) ) )
=> true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quaternion_ds1_symm_0014) ).
tff(3,plain,
~ ( true
| ~ ( ! [A: $i,B: $i] :
( ~ ( leq(n0,A)
& leq(n0,B)
& leq(A,minus(n6,n1))
& leq(B,minus(n6,n1)) )
| ( a_select3(q_ds1_filter,A,B) = a_select3(q_ds1_filter,B,A) ) )
& ! [C: $i,D: $i] :
( ~ ( leq(n0,C)
& leq(n0,D)
& leq(C,minus(n3,n1))
& leq(D,minus(n3,n1)) )
| ( a_select3(r_ds1_filter,C,D) = a_select3(r_ds1_filter,D,C) ) )
& ! [E: $i,F: $i] :
( ~ ( leq(n0,E)
& leq(n0,F)
& leq(E,minus(n6,n1))
& leq(F,minus(n6,n1)) )
| ( a_select3(pminus_ds1_filter,E,F) = a_select3(pminus_ds1_filter,F,E) ) ) ) ),
inference(modus_ponens,[status(thm)],[2,1]) ).
tff(4,plain,
~ true,
inference(or_elim,[status(thm)],[3]) ).
tff(5,axiom,
true,
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',ttrue) ).
tff(6,plain,
$false,
inference(unit_resolution,[status(thm)],[5,4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : SWV121+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.11/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.35 % Computer : n027.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 : Sun Sep 4 01:44:36 EDT 2022
% 0.13/0.35 % 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.
% 0.13/0.41 % SZS status Theorem
% 0.13/0.41 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------