TSTP Solution File: CSR256+1 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : CSR256+1 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n020.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 : Tue Sep 20 14:33:22 EDT 2022
% Result : Theorem 42.10s 27.40s
% Output : Proof 42.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 23
% Syntax : Number of formulae : 40 ( 12 unt; 5 typ; 0 def)
% Number of atoms : 186 ( 0 equ)
% Maximal formula atoms : 12 ( 5 avg)
% Number of connectives : 250 ( 113 ~; 97 |; 16 &)
% ( 21 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 14 ( 14 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 2 ( 1 >; 1 *; 0 +; 0 <<)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 84 ( 78 !; 0 ?; 84 :)
% Comments :
%------------------------------------------------------------------------------
tff(p__d__subclass_type,type,
p__d__subclass: ( $i * $i ) > $o ).
tff(c__SocialInteraction_type,type,
c__SocialInteraction: $i ).
tff(c__Giving_type,type,
c__Giving: $i ).
tff(c__ChangeOfPossession_type,type,
c__ChangeOfPossession: $i ).
tff(c__Funding_type,type,
c__Funding: $i ).
tff(1,plain,
( p__d__subclass(c__Giving,c__ChangeOfPossession)
<=> p__d__subclass(c__Giving,c__ChangeOfPossession) ),
inference(rewrite,[status(thm)],]) ).
tff(2,axiom,
p__d__subclass(c__Giving,c__ChangeOfPossession),
file('/export/starexec/sandbox/benchmark/Axioms/CSR006+0.ax',mergeA2523) ).
tff(3,plain,
p__d__subclass(c__Giving,c__ChangeOfPossession),
inference(modus_ponens,[status(thm)],[2,1]) ).
tff(4,plain,
( p__d__subclass(c__ChangeOfPossession,c__SocialInteraction)
<=> p__d__subclass(c__ChangeOfPossession,c__SocialInteraction) ),
inference(rewrite,[status(thm)],]) ).
tff(5,axiom,
p__d__subclass(c__ChangeOfPossession,c__SocialInteraction),
file('/export/starexec/sandbox/benchmark/Axioms/CSR006+0.ax',mergeA2519) ).
tff(6,plain,
p__d__subclass(c__ChangeOfPossession,c__SocialInteraction),
inference(modus_ponens,[status(thm)],[5,4]) ).
tff(7,plain,
( ! [X: $i,Y: $i,Z: $i] :
( p__d__subclass(X,Z)
| ~ p__d__subclass(X,Y)
| ~ p__d__subclass(Y,Z) )
<=> ! [X: $i,Y: $i,Z: $i] :
( p__d__subclass(X,Z)
| ~ p__d__subclass(X,Y)
| ~ p__d__subclass(Y,Z) ) ),
inference(rewrite,[status(thm)],]) ).
tff(8,plain,
^ [X: $i,Y: $i,Z: $i] :
trans(
monotonicity(
trans(
monotonicity(
rewrite(
( ( p__d__subclass(X,Y)
& p__d__subclass(Y,Z) )
<=> ~ ( ~ p__d__subclass(X,Y)
| ~ p__d__subclass(Y,Z) ) )),
( ~ ( p__d__subclass(X,Y)
& p__d__subclass(Y,Z) )
<=> ~ ~ ( ~ p__d__subclass(X,Y)
| ~ p__d__subclass(Y,Z) ) )),
rewrite(
( ~ ~ ( ~ p__d__subclass(X,Y)
| ~ p__d__subclass(Y,Z) )
<=> ( ~ p__d__subclass(X,Y)
| ~ p__d__subclass(Y,Z) ) )),
( ~ ( p__d__subclass(X,Y)
& p__d__subclass(Y,Z) )
<=> ( ~ p__d__subclass(X,Y)
| ~ p__d__subclass(Y,Z) ) )),
( ( ~ ( p__d__subclass(X,Y)
& p__d__subclass(Y,Z) )
| p__d__subclass(X,Z) )
<=> ( ~ p__d__subclass(X,Y)
| ~ p__d__subclass(Y,Z)
| p__d__subclass(X,Z) ) )),
rewrite(
( ( ~ p__d__subclass(X,Y)
| ~ p__d__subclass(Y,Z)
| p__d__subclass(X,Z) )
<=> ( p__d__subclass(X,Z)
| ~ p__d__subclass(X,Y)
| ~ p__d__subclass(Y,Z) ) )),
( ( ~ ( p__d__subclass(X,Y)
& p__d__subclass(Y,Z) )
| p__d__subclass(X,Z) )
<=> ( p__d__subclass(X,Z)
| ~ p__d__subclass(X,Y)
| ~ p__d__subclass(Y,Z) ) )),
inference(bind,[status(th)],]) ).
tff(9,plain,
( ! [X: $i,Y: $i,Z: $i] :
( ~ ( p__d__subclass(X,Y)
& p__d__subclass(Y,Z) )
| p__d__subclass(X,Z) )
<=> ! [X: $i,Y: $i,Z: $i] :
( p__d__subclass(X,Z)
| ~ p__d__subclass(X,Y)
| ~ p__d__subclass(Y,Z) ) ),
inference(quant_intro,[status(thm)],[8]) ).
tff(10,plain,
( ! [X: $i,Y: $i,Z: $i] :
( ~ ( p__d__subclass(X,Y)
& p__d__subclass(Y,Z) )
| p__d__subclass(X,Z) )
<=> ! [X: $i,Y: $i,Z: $i] :
( ~ ( p__d__subclass(X,Y)
& p__d__subclass(Y,Z) )
| p__d__subclass(X,Z) ) ),
inference(rewrite,[status(thm)],]) ).
tff(11,plain,
^ [X: $i,Y: $i,Z: $i] :
rewrite(
( ( ( p__d__subclass(X,Y)
& p__d__subclass(Y,Z) )
=> p__d__subclass(X,Z) )
<=> ( ~ ( p__d__subclass(X,Y)
& p__d__subclass(Y,Z) )
| p__d__subclass(X,Z) ) )),
inference(bind,[status(th)],]) ).
tff(12,plain,
( ! [X: $i,Y: $i,Z: $i] :
( ( p__d__subclass(X,Y)
& p__d__subclass(Y,Z) )
=> p__d__subclass(X,Z) )
<=> ! [X: $i,Y: $i,Z: $i] :
( ~ ( p__d__subclass(X,Y)
& p__d__subclass(Y,Z) )
| p__d__subclass(X,Z) ) ),
inference(quant_intro,[status(thm)],[11]) ).
tff(13,axiom,
! [X: $i,Y: $i,Z: $i] :
( ( p__d__subclass(X,Y)
& p__d__subclass(Y,Z) )
=> p__d__subclass(X,Z) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR006+0.ax',predefinitionsA8) ).
tff(14,plain,
! [X: $i,Y: $i,Z: $i] :
( ~ ( p__d__subclass(X,Y)
& p__d__subclass(Y,Z) )
| p__d__subclass(X,Z) ),
inference(modus_ponens,[status(thm)],[13,12]) ).
tff(15,plain,
! [X: $i,Y: $i,Z: $i] :
( ~ ( p__d__subclass(X,Y)
& p__d__subclass(Y,Z) )
| p__d__subclass(X,Z) ),
inference(modus_ponens,[status(thm)],[14,10]) ).
tff(16,plain,
! [X: $i,Y: $i,Z: $i] :
( ~ ( p__d__subclass(X,Y)
& p__d__subclass(Y,Z) )
| p__d__subclass(X,Z) ),
inference(skolemize,[status(sab)],[15]) ).
tff(17,plain,
! [X: $i,Y: $i,Z: $i] :
( p__d__subclass(X,Z)
| ~ p__d__subclass(X,Y)
| ~ p__d__subclass(Y,Z) ),
inference(modus_ponens,[status(thm)],[16,9]) ).
tff(18,plain,
! [X: $i,Y: $i,Z: $i] :
( p__d__subclass(X,Z)
| ~ p__d__subclass(X,Y)
| ~ p__d__subclass(Y,Z) ),
inference(modus_ponens,[status(thm)],[17,7]) ).
tff(19,plain,
( ( ~ ! [X: $i,Y: $i,Z: $i] :
( p__d__subclass(X,Z)
| ~ p__d__subclass(X,Y)
| ~ p__d__subclass(Y,Z) )
| ~ p__d__subclass(c__ChangeOfPossession,c__SocialInteraction)
| p__d__subclass(c__Giving,c__SocialInteraction)
| ~ p__d__subclass(c__Giving,c__ChangeOfPossession) )
<=> ( ~ ! [X: $i,Y: $i,Z: $i] :
( p__d__subclass(X,Z)
| ~ p__d__subclass(X,Y)
| ~ p__d__subclass(Y,Z) )
| ~ p__d__subclass(c__ChangeOfPossession,c__SocialInteraction)
| p__d__subclass(c__Giving,c__SocialInteraction)
| ~ p__d__subclass(c__Giving,c__ChangeOfPossession) ) ),
inference(rewrite,[status(thm)],]) ).
tff(20,plain,
( ( p__d__subclass(c__Giving,c__SocialInteraction)
| ~ p__d__subclass(c__Giving,c__ChangeOfPossession)
| ~ p__d__subclass(c__ChangeOfPossession,c__SocialInteraction) )
<=> ( ~ p__d__subclass(c__ChangeOfPossession,c__SocialInteraction)
| p__d__subclass(c__Giving,c__SocialInteraction)
| ~ p__d__subclass(c__Giving,c__ChangeOfPossession) ) ),
inference(rewrite,[status(thm)],]) ).
tff(21,plain,
( ( ~ ! [X: $i,Y: $i,Z: $i] :
( p__d__subclass(X,Z)
| ~ p__d__subclass(X,Y)
| ~ p__d__subclass(Y,Z) )
| p__d__subclass(c__Giving,c__SocialInteraction)
| ~ p__d__subclass(c__Giving,c__ChangeOfPossession)
| ~ p__d__subclass(c__ChangeOfPossession,c__SocialInteraction) )
<=> ( ~ ! [X: $i,Y: $i,Z: $i] :
( p__d__subclass(X,Z)
| ~ p__d__subclass(X,Y)
| ~ p__d__subclass(Y,Z) )
| ~ p__d__subclass(c__ChangeOfPossession,c__SocialInteraction)
| p__d__subclass(c__Giving,c__SocialInteraction)
| ~ p__d__subclass(c__Giving,c__ChangeOfPossession) ) ),
inference(monotonicity,[status(thm)],[20]) ).
tff(22,plain,
( ( ~ ! [X: $i,Y: $i,Z: $i] :
( p__d__subclass(X,Z)
| ~ p__d__subclass(X,Y)
| ~ p__d__subclass(Y,Z) )
| p__d__subclass(c__Giving,c__SocialInteraction)
| ~ p__d__subclass(c__Giving,c__ChangeOfPossession)
| ~ p__d__subclass(c__ChangeOfPossession,c__SocialInteraction) )
<=> ( ~ ! [X: $i,Y: $i,Z: $i] :
( p__d__subclass(X,Z)
| ~ p__d__subclass(X,Y)
| ~ p__d__subclass(Y,Z) )
| ~ p__d__subclass(c__ChangeOfPossession,c__SocialInteraction)
| p__d__subclass(c__Giving,c__SocialInteraction)
| ~ p__d__subclass(c__Giving,c__ChangeOfPossession) ) ),
inference(transitivity,[status(thm)],[21,19]) ).
tff(23,plain,
( ~ ! [X: $i,Y: $i,Z: $i] :
( p__d__subclass(X,Z)
| ~ p__d__subclass(X,Y)
| ~ p__d__subclass(Y,Z) )
| p__d__subclass(c__Giving,c__SocialInteraction)
| ~ p__d__subclass(c__Giving,c__ChangeOfPossession)
| ~ p__d__subclass(c__ChangeOfPossession,c__SocialInteraction) ),
inference(quant_inst,[status(thm)],]) ).
tff(24,plain,
( ~ ! [X: $i,Y: $i,Z: $i] :
( p__d__subclass(X,Z)
| ~ p__d__subclass(X,Y)
| ~ p__d__subclass(Y,Z) )
| ~ p__d__subclass(c__ChangeOfPossession,c__SocialInteraction)
| p__d__subclass(c__Giving,c__SocialInteraction)
| ~ p__d__subclass(c__Giving,c__ChangeOfPossession) ),
inference(modus_ponens,[status(thm)],[23,22]) ).
tff(25,plain,
p__d__subclass(c__Giving,c__SocialInteraction),
inference(unit_resolution,[status(thm)],[24,18,6,3]) ).
tff(26,plain,
( ~ p__d__subclass(c__Funding,c__SocialInteraction)
<=> ~ p__d__subclass(c__Funding,c__SocialInteraction) ),
inference(rewrite,[status(thm)],]) ).
tff(27,axiom,
~ p__d__subclass(c__Funding,c__SocialInteraction),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subclassEvent0321) ).
tff(28,plain,
~ p__d__subclass(c__Funding,c__SocialInteraction),
inference(modus_ponens,[status(thm)],[27,26]) ).
tff(29,plain,
( p__d__subclass(c__Funding,c__Giving)
<=> p__d__subclass(c__Funding,c__Giving) ),
inference(rewrite,[status(thm)],]) ).
tff(30,axiom,
p__d__subclass(c__Funding,c__Giving),
file('/export/starexec/sandbox/benchmark/Axioms/CSR006+0.ax',mergeA2526) ).
tff(31,plain,
p__d__subclass(c__Funding,c__Giving),
inference(modus_ponens,[status(thm)],[30,29]) ).
tff(32,plain,
( ( ~ ! [X: $i,Y: $i,Z: $i] :
( p__d__subclass(X,Z)
| ~ p__d__subclass(X,Y)
| ~ p__d__subclass(Y,Z) )
| p__d__subclass(c__Funding,c__SocialInteraction)
| ~ p__d__subclass(c__Funding,c__Giving)
| ~ p__d__subclass(c__Giving,c__SocialInteraction) )
<=> ( ~ ! [X: $i,Y: $i,Z: $i] :
( p__d__subclass(X,Z)
| ~ p__d__subclass(X,Y)
| ~ p__d__subclass(Y,Z) )
| p__d__subclass(c__Funding,c__SocialInteraction)
| ~ p__d__subclass(c__Funding,c__Giving)
| ~ p__d__subclass(c__Giving,c__SocialInteraction) ) ),
inference(rewrite,[status(thm)],]) ).
tff(33,plain,
( ~ ! [X: $i,Y: $i,Z: $i] :
( p__d__subclass(X,Z)
| ~ p__d__subclass(X,Y)
| ~ p__d__subclass(Y,Z) )
| p__d__subclass(c__Funding,c__SocialInteraction)
| ~ p__d__subclass(c__Funding,c__Giving)
| ~ p__d__subclass(c__Giving,c__SocialInteraction) ),
inference(quant_inst,[status(thm)],]) ).
tff(34,plain,
( ~ ! [X: $i,Y: $i,Z: $i] :
( p__d__subclass(X,Z)
| ~ p__d__subclass(X,Y)
| ~ p__d__subclass(Y,Z) )
| p__d__subclass(c__Funding,c__SocialInteraction)
| ~ p__d__subclass(c__Funding,c__Giving)
| ~ p__d__subclass(c__Giving,c__SocialInteraction) ),
inference(modus_ponens,[status(thm)],[33,32]) ).
tff(35,plain,
$false,
inference(unit_resolution,[status(thm)],[34,18,31,28,25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : CSR256+1 : TPTP v8.1.0. Released v7.3.0.
% 0.14/0.14 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.15/0.36 % Computer : n020.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 : Wed Aug 31 01:10:00 EDT 2022
% 0.15/0.36 % CPUTime :
% 0.15/0.36 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.15/0.36 Usage: tptp [options] [-file:]file
% 0.15/0.36 -h, -? prints this message.
% 0.15/0.36 -smt2 print SMT-LIB2 benchmark.
% 0.15/0.36 -m, -model generate model.
% 0.15/0.36 -p, -proof generate proof.
% 0.15/0.36 -c, -core generate unsat core of named formulas.
% 0.15/0.36 -st, -statistics display statistics.
% 0.15/0.36 -t:timeout set timeout (in second).
% 0.15/0.36 -smt2status display status in smt2 format instead of SZS.
% 0.15/0.36 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.15/0.36 -<param>:<value> configuration parameter and value.
% 0.15/0.36 -o:<output-file> file to place output in.
% 42.10/27.40 % SZS status Theorem
% 42.10/27.40 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------