TSTP Solution File: SET620+3 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SET620+3 : TPTP v8.2.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n028.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 May 21 03:19:43 EDT 2024
% Result : Theorem 0.21s 0.49s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 20 ( 19 unt; 0 def)
% Number of atoms : 21 ( 20 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 8 ( 7 ~; 0 |; 0 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 35 ( 31 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1542,plain,
$false,
inference(trivial_inequality_removal,[],[f1499]) ).
fof(f1499,plain,
symmetric_difference(sK0,sK1) != symmetric_difference(sK0,sK1),
inference(superposition,[],[f36,f1483]) ).
fof(f1483,plain,
! [X0,X1] : symmetric_difference(X1,X0) = difference(union(X1,X0),intersection(X1,X0)),
inference(forward_demodulation,[],[f1460,f42]) ).
fof(f42,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(f1460,plain,
! [X0,X1] : union(difference(X1,X0),difference(X0,X1)) = difference(union(X1,X0),intersection(X1,X0)),
inference(superposition,[],[f231,f79]) ).
fof(f79,plain,
! [X0,X1] : difference(X0,X1) = difference(X0,intersection(X1,X0)),
inference(superposition,[],[f41,f39]) ).
fof(f39,plain,
! [X0,X1] : intersection(X0,X1) = intersection(X1,X0),
inference(cnf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0,X1] : intersection(X0,X1) = intersection(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_intersection) ).
fof(f41,plain,
! [X0,X1] : difference(X0,X1) = difference(X0,intersection(X0,X1)),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0,X1] : difference(X0,X1) = difference(X0,intersection(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',difference_into_intersection) ).
fof(f231,plain,
! [X2,X0,X1] : difference(union(X0,X2),intersection(X0,X1)) = union(difference(X0,X1),difference(X2,intersection(X0,X1))),
inference(superposition,[],[f53,f41]) ).
fof(f53,plain,
! [X2,X0,X1] : difference(union(X0,X1),X2) = union(difference(X0,X2),difference(X1,X2)),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0,X1,X2] : difference(union(X0,X1),X2) = union(difference(X0,X2),difference(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',difference_distributes_over_union) ).
fof(f36,plain,
symmetric_difference(sK0,sK1) != difference(union(sK0,sK1),intersection(sK0,sK1)),
inference(cnf_transformation,[],[f19]) ).
fof(f19,plain,
symmetric_difference(sK0,sK1) != difference(union(sK0,sK1),intersection(sK0,sK1)),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f16,f18]) ).
fof(f18,plain,
( ? [X0,X1] : symmetric_difference(X0,X1) != difference(union(X0,X1),intersection(X0,X1))
=> symmetric_difference(sK0,sK1) != difference(union(sK0,sK1),intersection(sK0,sK1)) ),
introduced(choice_axiom,[]) ).
fof(f16,plain,
? [X0,X1] : symmetric_difference(X0,X1) != difference(union(X0,X1),intersection(X0,X1)),
inference(ennf_transformation,[],[f15]) ).
fof(f15,negated_conjecture,
~ ! [X0,X1] : symmetric_difference(X0,X1) = difference(union(X0,X1),intersection(X0,X1)),
inference(negated_conjecture,[],[f14]) ).
fof(f14,conjecture,
! [X0,X1] : symmetric_difference(X0,X1) = difference(union(X0,X1),intersection(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_th96) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.14 % Problem : SET620+3 : TPTP v8.2.0. Released v2.2.0.
% 0.14/0.16 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.37 % Computer : n028.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Mon May 20 13:18:23 EDT 2024
% 0.15/0.37 % CPUTime :
% 0.15/0.38 % (29687)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.39 % (29689)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.40 % (29694)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)
% 0.15/0.40 % (29690)WARNING: value z3 for option sas not known
% 0.15/0.40 % (29690)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)
% 0.15/0.41 % (29693)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)
% 0.15/0.41 % (29691)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.41 TRYING [1]
% 0.15/0.42 TRYING [2]
% 0.15/0.42 % (29692)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)
% 0.15/0.42 TRYING [3]
% 0.15/0.42 % (29688)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.43 TRYING [1]
% 0.15/0.43 TRYING [2]
% 0.15/0.44 TRYING [3]
% 0.15/0.44 TRYING [4]
% 0.21/0.47 TRYING [4]
% 0.21/0.47 TRYING [5]
% 0.21/0.48 TRYING [1]
% 0.21/0.48 TRYING [2]
% 0.21/0.48 TRYING [3]
% 0.21/0.48 % (29693)First to succeed.
% 0.21/0.48 % (29693)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-29687"
% 0.21/0.49 % (29693)Refutation found. Thanks to Tanya!
% 0.21/0.49 % SZS status Theorem for theBenchmark
% 0.21/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.49 % (29693)------------------------------
% 0.21/0.49 % (29693)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.49 % (29693)Termination reason: Refutation
% 0.21/0.49
% 0.21/0.49 % (29693)Memory used [KB]: 1636
% 0.21/0.49 % (29693)Time elapsed: 0.079 s
% 0.21/0.49 % (29693)Instructions burned: 125 (million)
% 0.21/0.49 % (29687)Success in time 0.107 s
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