TSTP Solution File: SET120-7 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SET120-7 : TPTP v8.1.2. Bugfixed v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n006.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 Apr 30 15:05:46 EDT 2024
% Result : Unsatisfiable 2.44s 0.66s
% Output : Refutation 2.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of formulae : 15 ( 8 unt; 0 def)
% Number of atoms : 24 ( 9 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 19 ( 10 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 18 ( 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8068,plain,
$false,
inference(trivial_inequality_removal,[],[f8059]) ).
fof(f8059,plain,
ordered_pair(x,y) != ordered_pair(x,y),
inference(superposition,[],[f167,f8036]) ).
fof(f8036,plain,
! [X0] : ordered_pair(x,X0) = second(ordered_pair(x,X0)),
inference(resolution,[],[f3157,f2225]) ).
fof(f2225,plain,
! [X2,X0,X1] : ~ member(ordered_pair(x,X0),cross_product(X1,X2)),
inference(resolution,[],[f92,f326]) ).
fof(f326,plain,
! [X0] : ~ member(x,X0),
inference(resolution,[],[f317,f4]) ).
fof(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',class_elements_are_sets) ).
fof(f317,plain,
! [X0] :
( ~ subclass(X0,universal_class)
| ~ member(x,X0) ),
inference(resolution,[],[f1,f166]) ).
fof(f166,axiom,
~ member(x,universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_corollary_2_to_OP_determines_components1_1) ).
fof(f1,axiom,
! [X2,X0,X1] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ subclass(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subclass_members) ).
fof(f92,axiom,
! [X2,X3,X0,X1] :
( member(X0,unordered_pair(X0,X1))
| ~ member(ordered_pair(X0,X1),cross_product(X2,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',corollary_1_to_unordered_pair) ).
fof(f3157,plain,
! [X0] :
( member(X0,cross_product(universal_class,universal_class))
| second(X0) = X0 ),
inference(duplicate_literal_removal,[],[f3155]) ).
fof(f3155,plain,
! [X0] :
( member(X0,cross_product(universal_class,universal_class))
| second(X0) = X0
| second(X0) = X0 ),
inference(superposition,[],[f161,f163]) ).
fof(f163,axiom,
! [X0] :
( ordered_pair(first(X0),second(X0)) = X0
| second(X0) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_1st_and_2nd_in_pair_of_non_sets4) ).
fof(f161,axiom,
! [X0] :
( member(ordered_pair(first(X0),second(X0)),cross_product(universal_class,universal_class))
| second(X0) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_1st_and_2nd_in_pair_of_non_sets2) ).
fof(f167,axiom,
ordered_pair(x,y) != second(ordered_pair(x,y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_corollary_2_to_OP_determines_components1_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.08 % Problem : SET120-7 : TPTP v8.1.2. Bugfixed v7.3.0.
% 0.04/0.09 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.07/0.28 % Computer : n006.cluster.edu
% 0.07/0.28 % Model : x86_64 x86_64
% 0.07/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.28 % Memory : 8042.1875MB
% 0.07/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.28 % CPULimit : 300
% 0.07/0.28 % WCLimit : 300
% 0.07/0.28 % DateTime : Tue Apr 30 01:36:20 EDT 2024
% 0.07/0.28 % CPUTime :
% 0.07/0.28 % (5857)Running in auto input_syntax mode. Trying TPTP
% 0.07/0.29 % (5861)WARNING: value z3 for option sas not known
% 0.07/0.30 % (5858)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.07/0.30 % (5862)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.07/0.30 % (5859)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.07/0.30 % (5865)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.07/0.30 % (5863)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.07/0.30 % (5864)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.07/0.30 % (5861)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.12/0.33 TRYING [1]
% 0.12/0.33 TRYING [2]
% 0.12/0.39 TRYING [3]
% 0.12/0.45 TRYING [1]
% 0.12/0.46 TRYING [2]
% 1.97/0.60 TRYING [3]
% 2.44/0.66 % (5864)First to succeed.
% 2.44/0.66 % (5864)Refutation found. Thanks to Tanya!
% 2.44/0.66 % SZS status Unsatisfiable for theBenchmark
% 2.44/0.66 % SZS output start Proof for theBenchmark
% See solution above
% 2.44/0.66 % (5864)------------------------------
% 2.44/0.66 % (5864)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 2.44/0.66 % (5864)Termination reason: Refutation
% 2.44/0.66
% 2.44/0.66 % (5864)Memory used [KB]: 4516
% 2.44/0.66 % (5864)Time elapsed: 0.366 s
% 2.44/0.66 % (5864)Instructions burned: 644 (million)
% 2.44/0.66 % (5864)------------------------------
% 2.44/0.66 % (5864)------------------------------
% 2.64/0.66 % (5857)Success in time 0.379 s
%------------------------------------------------------------------------------