TSTP Solution File: SET968+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET968+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n014.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 : Wed Aug 31 18:26:13 EDT 2022
% Result : Theorem 0.20s 0.54s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 4
% Syntax : Number of formulae : 23 ( 19 unt; 0 def)
% Number of atoms : 27 ( 26 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 17 ( 13 ~; 0 |; 3 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 51 ( 39 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f44,plain,
$false,
inference(subsumption_resolution,[],[f43,f33]) ).
fof(f33,plain,
! [X2,X0,X1] : set_union2(set_union2(X0,X2),X1) = set_union2(X0,set_union2(X2,X1)),
inference(cnf_transformation,[],[f22]) ).
fof(f22,plain,
! [X0,X1,X2] : set_union2(set_union2(X0,X2),X1) = set_union2(X0,set_union2(X2,X1)),
inference(rectify,[],[f12]) ).
fof(f12,plain,
! [X1,X2,X0] : set_union2(set_union2(X1,X0),X2) = set_union2(X1,set_union2(X0,X2)),
inference(rectify,[],[f10]) ).
fof(f10,axiom,
! [X1,X0,X2] : set_union2(set_union2(X0,X1),X2) = set_union2(X0,set_union2(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_xboole_1) ).
fof(f43,plain,
set_union2(cartesian_product2(sK3,sK1),set_union2(cartesian_product2(sK3,sK2),set_union2(cartesian_product2(sK4,sK1),cartesian_product2(sK4,sK2)))) != set_union2(set_union2(cartesian_product2(sK3,sK1),cartesian_product2(sK3,sK2)),set_union2(cartesian_product2(sK4,sK1),cartesian_product2(sK4,sK2))),
inference(forward_demodulation,[],[f42,f33]) ).
fof(f42,plain,
set_union2(set_union2(set_union2(cartesian_product2(sK3,sK1),cartesian_product2(sK3,sK2)),cartesian_product2(sK4,sK1)),cartesian_product2(sK4,sK2)) != set_union2(cartesian_product2(sK3,sK1),set_union2(cartesian_product2(sK3,sK2),set_union2(cartesian_product2(sK4,sK1),cartesian_product2(sK4,sK2)))),
inference(backward_demodulation,[],[f41,f33]) ).
fof(f41,plain,
set_union2(set_union2(set_union2(cartesian_product2(sK3,sK1),cartesian_product2(sK3,sK2)),cartesian_product2(sK4,sK1)),cartesian_product2(sK4,sK2)) != set_union2(set_union2(cartesian_product2(sK3,sK1),cartesian_product2(sK3,sK2)),set_union2(cartesian_product2(sK4,sK1),cartesian_product2(sK4,sK2))),
inference(forward_demodulation,[],[f40,f32]) ).
fof(f32,plain,
! [X2,X0,X1] : cartesian_product2(X0,set_union2(X2,X1)) = set_union2(cartesian_product2(X0,X2),cartesian_product2(X0,X1)),
inference(cnf_transformation,[],[f21]) ).
fof(f21,plain,
! [X0,X1,X2] :
( cartesian_product2(X0,set_union2(X2,X1)) = set_union2(cartesian_product2(X0,X2),cartesian_product2(X0,X1))
& set_union2(cartesian_product2(X2,X0),cartesian_product2(X1,X0)) = cartesian_product2(set_union2(X2,X1),X0) ),
inference(rectify,[],[f14]) ).
fof(f14,plain,
! [X1,X2,X0] :
( cartesian_product2(X1,set_union2(X0,X2)) = set_union2(cartesian_product2(X1,X0),cartesian_product2(X1,X2))
& cartesian_product2(set_union2(X0,X2),X1) = set_union2(cartesian_product2(X0,X1),cartesian_product2(X2,X1)) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X0,X2,X1] :
( cartesian_product2(X2,set_union2(X0,X1)) = set_union2(cartesian_product2(X2,X0),cartesian_product2(X2,X1))
& cartesian_product2(set_union2(X0,X1),X2) = set_union2(cartesian_product2(X0,X2),cartesian_product2(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t120_zfmisc_1) ).
fof(f40,plain,
set_union2(set_union2(set_union2(cartesian_product2(sK3,sK1),cartesian_product2(sK3,sK2)),cartesian_product2(sK4,sK1)),cartesian_product2(sK4,sK2)) != set_union2(cartesian_product2(sK3,set_union2(sK1,sK2)),set_union2(cartesian_product2(sK4,sK1),cartesian_product2(sK4,sK2))),
inference(forward_demodulation,[],[f39,f32]) ).
fof(f39,plain,
set_union2(cartesian_product2(sK3,set_union2(sK1,sK2)),cartesian_product2(sK4,set_union2(sK1,sK2))) != set_union2(set_union2(set_union2(cartesian_product2(sK3,sK1),cartesian_product2(sK3,sK2)),cartesian_product2(sK4,sK1)),cartesian_product2(sK4,sK2)),
inference(forward_demodulation,[],[f36,f31]) ).
fof(f31,plain,
! [X2,X0,X1] : set_union2(cartesian_product2(X2,X0),cartesian_product2(X1,X0)) = cartesian_product2(set_union2(X2,X1),X0),
inference(cnf_transformation,[],[f21]) ).
fof(f36,plain,
set_union2(set_union2(set_union2(cartesian_product2(sK3,sK1),cartesian_product2(sK3,sK2)),cartesian_product2(sK4,sK1)),cartesian_product2(sK4,sK2)) != cartesian_product2(set_union2(sK3,sK4),set_union2(sK1,sK2)),
inference(cnf_transformation,[],[f26]) ).
fof(f26,plain,
set_union2(set_union2(set_union2(cartesian_product2(sK3,sK1),cartesian_product2(sK3,sK2)),cartesian_product2(sK4,sK1)),cartesian_product2(sK4,sK2)) != cartesian_product2(set_union2(sK3,sK4),set_union2(sK1,sK2)),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4])],[f24,f25]) ).
fof(f25,plain,
( ? [X0,X1,X2,X3] : cartesian_product2(set_union2(X2,X3),set_union2(X0,X1)) != set_union2(set_union2(set_union2(cartesian_product2(X2,X0),cartesian_product2(X2,X1)),cartesian_product2(X3,X0)),cartesian_product2(X3,X1))
=> set_union2(set_union2(set_union2(cartesian_product2(sK3,sK1),cartesian_product2(sK3,sK2)),cartesian_product2(sK4,sK1)),cartesian_product2(sK4,sK2)) != cartesian_product2(set_union2(sK3,sK4),set_union2(sK1,sK2)) ),
introduced(choice_axiom,[]) ).
fof(f24,plain,
? [X0,X1,X2,X3] : cartesian_product2(set_union2(X2,X3),set_union2(X0,X1)) != set_union2(set_union2(set_union2(cartesian_product2(X2,X0),cartesian_product2(X2,X1)),cartesian_product2(X3,X0)),cartesian_product2(X3,X1)),
inference(rectify,[],[f17]) ).
fof(f17,plain,
? [X3,X1,X2,X0] : cartesian_product2(set_union2(X2,X0),set_union2(X3,X1)) != set_union2(set_union2(set_union2(cartesian_product2(X2,X3),cartesian_product2(X2,X1)),cartesian_product2(X0,X3)),cartesian_product2(X0,X1)),
inference(ennf_transformation,[],[f11]) ).
fof(f11,plain,
~ ! [X0,X1,X2,X3] : cartesian_product2(set_union2(X2,X0),set_union2(X3,X1)) = set_union2(set_union2(set_union2(cartesian_product2(X2,X3),cartesian_product2(X2,X1)),cartesian_product2(X0,X3)),cartesian_product2(X0,X1)),
inference(rectify,[],[f9]) ).
fof(f9,negated_conjecture,
~ ! [X1,X3,X0,X2] : cartesian_product2(set_union2(X0,X1),set_union2(X2,X3)) = set_union2(set_union2(set_union2(cartesian_product2(X0,X2),cartesian_product2(X0,X3)),cartesian_product2(X1,X2)),cartesian_product2(X1,X3)),
inference(negated_conjecture,[],[f8]) ).
fof(f8,conjecture,
! [X1,X3,X0,X2] : cartesian_product2(set_union2(X0,X1),set_union2(X2,X3)) = set_union2(set_union2(set_union2(cartesian_product2(X0,X2),cartesian_product2(X0,X3)),cartesian_product2(X1,X2)),cartesian_product2(X1,X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t121_zfmisc_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SET968+1 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.35 % Computer : n014.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 30 14:33:33 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.20/0.49 % (23093)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.50 % (23085)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.50 % (23095)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.51 % (23094)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.51 % (23103)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.20/0.51 % (23086)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52 % (23088)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52 TRYING [1]
% 0.20/0.53 % (23106)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.53 % (23082)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.20/0.53 TRYING [1]
% 0.20/0.53 TRYING [2]
% 0.20/0.53 % (23106)First to succeed.
% 0.20/0.53 % (23097)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.20/0.53 % (23087)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.53 % (23105)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.20/0.53 % (23112)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.20/0.53 % (23104)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.53 % (23102)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.54 % (23096)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.54 % (23089)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.54 % (23106)Refutation found. Thanks to Tanya!
% 0.20/0.54 % SZS status Theorem for theBenchmark
% 0.20/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.54 % (23106)------------------------------
% 0.20/0.54 % (23106)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (23106)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (23106)Termination reason: Refutation
% 0.20/0.54
% 0.20/0.54 % (23106)Memory used [KB]: 5373
% 0.20/0.54 % (23106)Time elapsed: 0.006 s
% 0.20/0.54 % (23106)Instructions burned: 2 (million)
% 0.20/0.54 % (23106)------------------------------
% 0.20/0.54 % (23106)------------------------------
% 0.20/0.54 % (23081)Success in time 0.181 s
%------------------------------------------------------------------------------