TSTP Solution File: SET630+3 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SET630+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n021.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 15:08:57 EDT 2024
% Result : Theorem 0.16s 0.39s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 28 ( 17 unt; 0 def)
% Number of atoms : 52 ( 4 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 48 ( 24 ~; 16 |; 5 &)
% ( 2 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 53 ( 49 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f198,plain,
$false,
inference(resolution,[],[f187,f55]) ).
fof(f55,plain,
intersect(intersection(sK0,sK1),symmetric_difference(sK0,sK1)),
inference(resolution,[],[f43,f31]) ).
fof(f31,plain,
~ disjoint(intersection(sK0,sK1),symmetric_difference(sK0,sK1)),
inference(cnf_transformation,[],[f17]) ).
fof(f17,plain,
~ disjoint(intersection(sK0,sK1),symmetric_difference(sK0,sK1)),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f14,f16]) ).
fof(f16,plain,
( ? [X0,X1] : ~ disjoint(intersection(X0,X1),symmetric_difference(X0,X1))
=> ~ disjoint(intersection(sK0,sK1),symmetric_difference(sK0,sK1)) ),
introduced(choice_axiom,[]) ).
fof(f14,plain,
? [X0,X1] : ~ disjoint(intersection(X0,X1),symmetric_difference(X0,X1)),
inference(ennf_transformation,[],[f13]) ).
fof(f13,negated_conjecture,
~ ! [X0,X1] : disjoint(intersection(X0,X1),symmetric_difference(X0,X1)),
inference(negated_conjecture,[],[f12]) ).
fof(f12,conjecture,
! [X0,X1] : disjoint(intersection(X0,X1),symmetric_difference(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_intersection_and_symmetric_difference_disjoint) ).
fof(f43,plain,
! [X0,X1] :
( disjoint(X0,X1)
| intersect(X0,X1) ),
inference(cnf_transformation,[],[f22]) ).
fof(f22,plain,
! [X0,X1] :
( ( disjoint(X0,X1)
| intersect(X0,X1) )
& ( ~ intersect(X0,X1)
| ~ disjoint(X0,X1) ) ),
inference(nnf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0,X1] :
( disjoint(X0,X1)
<=> ~ intersect(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',disjoint_defn) ).
fof(f187,plain,
! [X0,X1] : ~ intersect(intersection(X1,X0),symmetric_difference(X1,X0)),
inference(superposition,[],[f179,f34]) ).
fof(f34,plain,
! [X0,X1] : intersection(X0,X1) = intersection(X1,X0),
inference(cnf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0,X1] : intersection(X0,X1) = intersection(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_intersection) ).
fof(f179,plain,
! [X0,X1] : ~ intersect(intersection(X0,X1),symmetric_difference(X1,X0)),
inference(resolution,[],[f176,f61]) ).
fof(f61,plain,
! [X0,X1] : ~ intersect(intersection(X1,X0),difference(X0,X1)),
inference(superposition,[],[f57,f34]) ).
fof(f57,plain,
! [X0,X1] : ~ intersect(intersection(X0,X1),difference(X0,X1)),
inference(resolution,[],[f35,f42]) ).
fof(f42,plain,
! [X0,X1] :
( ~ disjoint(X0,X1)
| ~ intersect(X0,X1) ),
inference(cnf_transformation,[],[f22]) ).
fof(f35,plain,
! [X0,X1] : disjoint(intersection(X0,X1),difference(X0,X1)),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0,X1] : disjoint(intersection(X0,X1),difference(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection_and_union_disjoint) ).
fof(f176,plain,
! [X0,X1] :
( intersect(intersection(X0,X1),difference(X1,X0))
| ~ intersect(intersection(X0,X1),symmetric_difference(X1,X0)) ),
inference(resolution,[],[f115,f57]) ).
fof(f115,plain,
! [X2,X0,X1] :
( intersect(X2,difference(X1,X0))
| intersect(X2,difference(X0,X1))
| ~ intersect(X2,symmetric_difference(X0,X1)) ),
inference(superposition,[],[f50,f36]) ).
fof(f36,plain,
! [X0,X1] : symmetric_difference(X0,X1) = union(difference(X0,X1),difference(X1,X0)),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] : symmetric_difference(X0,X1) = union(difference(X0,X1),difference(X1,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetric_difference_defn) ).
fof(f50,plain,
! [X2,X0,X1] :
( ~ intersect(X0,union(X1,X2))
| intersect(X0,X1)
| intersect(X0,X2) ),
inference(cnf_transformation,[],[f30]) ).
fof(f30,plain,
! [X0,X1,X2] :
( ( intersect(X0,union(X1,X2))
| ( ~ intersect(X0,X2)
& ~ intersect(X0,X1) ) )
& ( intersect(X0,X2)
| intersect(X0,X1)
| ~ intersect(X0,union(X1,X2)) ) ),
inference(flattening,[],[f29]) ).
fof(f29,plain,
! [X0,X1,X2] :
( ( intersect(X0,union(X1,X2))
| ( ~ intersect(X0,X2)
& ~ intersect(X0,X1) ) )
& ( intersect(X0,X2)
| intersect(X0,X1)
| ~ intersect(X0,union(X1,X2)) ) ),
inference(nnf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0,X1,X2] :
( intersect(X0,union(X1,X2))
<=> ( intersect(X0,X2)
| intersect(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersect_with_union) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SET630+3 : TPTP v8.1.2. Released v2.2.0.
% 0.14/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.16/0.36 % Computer : n021.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Tue Apr 30 01:32:25 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.16/0.37 % (5325)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.38 % (5328)WARNING: value z3 for option sas not known
% 0.16/0.38 % (5327)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.16/0.38 % (5329)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.16/0.38 % (5326)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.16/0.38 % (5330)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)
% 0.16/0.38 % (5331)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)
% 0.16/0.38 % (5328)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)
% 0.16/0.38 % (5332)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)
% 0.16/0.38 TRYING [1]
% 0.16/0.38 TRYING [2]
% 0.16/0.39 TRYING [3]
% 0.16/0.39 TRYING [1]
% 0.16/0.39 TRYING [2]
% 0.16/0.39 % (5331)First to succeed.
% 0.16/0.39 % (5331)Refutation found. Thanks to Tanya!
% 0.16/0.39 % SZS status Theorem for theBenchmark
% 0.16/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.39 % (5331)------------------------------
% 0.16/0.39 % (5331)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.16/0.39 % (5331)Termination reason: Refutation
% 0.16/0.39
% 0.16/0.39 % (5331)Memory used [KB]: 854
% 0.16/0.39 % (5331)Time elapsed: 0.009 s
% 0.16/0.39 % (5331)Instructions burned: 11 (million)
% 0.16/0.39 % (5331)------------------------------
% 0.16/0.39 % (5331)------------------------------
% 0.16/0.39 % (5325)Success in time 0.025 s
%------------------------------------------------------------------------------