TSTP Solution File: SET621+3 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET621+3 : TPTP v8.1.0. Released v2.2.0.
% 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 : n010.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 18:25:08 EDT 2022
% Result : Theorem 1.45s 0.54s
% Output : Refutation 1.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 7
% Syntax : Number of formulae : 33 ( 32 unt; 0 def)
% Number of atoms : 34 ( 33 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 13 ( 12 ~; 0 |; 0 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 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; 3 con; 0-2 aty)
% Number of variables : 63 ( 57 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f80,plain,
$false,
inference(subsumption_resolution,[],[f79,f66]) ).
fof(f66,plain,
! [X2,X0,X1] : difference(union(X0,X1),X2) = union(difference(X0,X2),difference(X1,X2)),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0,X1,X2] : difference(union(X0,X1),X2) = union(difference(X0,X2),difference(X1,X2)),
inference(rectify,[],[f14]) ).
fof(f14,plain,
! [X2,X1,X0] : difference(union(X2,X1),X0) = union(difference(X2,X0),difference(X1,X0)),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X2,X1,X0] : difference(union(X0,X1),X2) = union(difference(X0,X2),difference(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',difference_distributes_over_union) ).
fof(f79,plain,
difference(union(difference(sK0,sK1),difference(sK1,sK0)),sK2) != union(difference(difference(sK0,sK1),sK2),difference(difference(sK1,sK0),sK2)),
inference(forward_demodulation,[],[f78,f60]) ).
fof(f60,plain,
! [X2,X0,X1] : difference(difference(X2,X0),X1) = difference(X2,union(X0,X1)),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
! [X0,X1,X2] : difference(difference(X2,X0),X1) = difference(X2,union(X0,X1)),
inference(rectify,[],[f16]) ).
fof(f16,plain,
! [X0,X2,X1] : difference(X1,union(X0,X2)) = difference(difference(X1,X0),X2),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X1,X0,X2] : difference(difference(X0,X1),X2) = difference(X0,union(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',difference_difference_union) ).
fof(f78,plain,
union(difference(difference(sK0,sK1),sK2),difference(sK1,union(sK0,sK2))) != difference(union(difference(sK0,sK1),difference(sK1,sK0)),sK2),
inference(forward_demodulation,[],[f77,f65]) ).
fof(f65,plain,
! [X0,X1] : union(X0,X1) = union(X1,X0),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
! [X0,X1] : union(X0,X1) = union(X1,X0),
inference(rectify,[],[f15]) ).
fof(f15,plain,
! [X1,X0] : union(X0,X1) = union(X1,X0),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X1,X0] : union(X0,X1) = union(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_union) ).
fof(f77,plain,
union(difference(sK1,union(sK0,sK2)),difference(difference(sK0,sK1),sK2)) != difference(union(difference(sK0,sK1),difference(sK1,sK0)),sK2),
inference(forward_demodulation,[],[f76,f60]) ).
fof(f76,plain,
difference(union(difference(sK0,sK1),difference(sK1,sK0)),sK2) != union(difference(sK1,union(sK0,sK2)),difference(sK0,union(sK1,sK2))),
inference(forward_demodulation,[],[f71,f70]) ).
fof(f70,plain,
! [X0,X1] : union(difference(X0,X1),difference(X1,X0)) = union(difference(X1,X0),difference(X0,X1)),
inference(definition_unfolding,[],[f47,f64,f64]) ).
fof(f64,plain,
! [X0,X1] : symmetric_difference(X0,X1) = union(difference(X0,X1),difference(X1,X0)),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0,X1] : symmetric_difference(X0,X1) = union(difference(X0,X1),difference(X1,X0)),
inference(rectify,[],[f20]) ).
fof(f20,plain,
! [X1,X0] : symmetric_difference(X1,X0) = union(difference(X1,X0),difference(X0,X1)),
inference(rectify,[],[f1]) ).
fof(f1,axiom,
! [X1,X0] : symmetric_difference(X0,X1) = union(difference(X0,X1),difference(X1,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetric_difference_defn) ).
fof(f47,plain,
! [X0,X1] : symmetric_difference(X0,X1) = symmetric_difference(X1,X0),
inference(cnf_transformation,[],[f24]) ).
fof(f24,plain,
! [X0,X1] : symmetric_difference(X0,X1) = symmetric_difference(X1,X0),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X1,X0] : symmetric_difference(X0,X1) = symmetric_difference(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_symmetric_difference) ).
fof(f71,plain,
union(difference(sK1,union(sK0,sK2)),difference(sK0,union(sK1,sK2))) != difference(union(difference(sK1,sK0),difference(sK0,sK1)),sK2),
inference(definition_unfolding,[],[f51,f64]) ).
fof(f51,plain,
difference(symmetric_difference(sK1,sK0),sK2) != union(difference(sK1,union(sK0,sK2)),difference(sK0,union(sK1,sK2))),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
difference(symmetric_difference(sK1,sK0),sK2) != union(difference(sK1,union(sK0,sK2)),difference(sK0,union(sK1,sK2))),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f22,f27]) ).
fof(f27,plain,
( ? [X0,X1,X2] : difference(symmetric_difference(X1,X0),X2) != union(difference(X1,union(X0,X2)),difference(X0,union(X1,X2)))
=> difference(symmetric_difference(sK1,sK0),sK2) != union(difference(sK1,union(sK0,sK2)),difference(sK0,union(sK1,sK2))) ),
introduced(choice_axiom,[]) ).
fof(f22,plain,
? [X0,X1,X2] : difference(symmetric_difference(X1,X0),X2) != union(difference(X1,union(X0,X2)),difference(X0,union(X1,X2))),
inference(ennf_transformation,[],[f19]) ).
fof(f19,plain,
~ ! [X1,X0,X2] : difference(symmetric_difference(X1,X0),X2) = union(difference(X1,union(X0,X2)),difference(X0,union(X1,X2))),
inference(rectify,[],[f13]) ).
fof(f13,negated_conjecture,
~ ! [X1,X0,X2] : difference(symmetric_difference(X0,X1),X2) = union(difference(X0,union(X1,X2)),difference(X1,union(X0,X2))),
inference(negated_conjecture,[],[f12]) ).
fof(f12,conjecture,
! [X1,X0,X2] : difference(symmetric_difference(X0,X1),X2) = union(difference(X0,union(X1,X2)),difference(X1,union(X0,X2))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_th97) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET621+3 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n010.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 13:57:59 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.50 % (20863)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.50 % (20854)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.50 % (20847)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.51 % (20844)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)
% 0.20/0.51 % (20837)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)
% 0.20/0.51 TRYING [1]
% 0.20/0.51 TRYING [2]
% 0.20/0.51 % (20841)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)
% 0.20/0.51 % (20855)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.51 % (20842)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.51 TRYING [1]
% 0.20/0.51 TRYING [2]
% 0.20/0.51 TRYING [3]
% 0.20/0.52 TRYING [1]
% 0.20/0.52 TRYING [2]
% 1.34/0.52 % (20846)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.34/0.52 % (20846)Instruction limit reached!
% 1.34/0.52 % (20846)------------------------------
% 1.34/0.52 % (20846)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.34/0.52 % (20846)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.34/0.52 % (20846)Termination reason: Unknown
% 1.34/0.52 % (20846)Termination phase: Blocked clause elimination
% 1.34/0.52
% 1.34/0.52 % (20846)Memory used [KB]: 895
% 1.34/0.52 % (20846)Time elapsed: 0.002 s
% 1.34/0.52 % (20846)Instructions burned: 2 (million)
% 1.34/0.52 % (20846)------------------------------
% 1.34/0.52 % (20846)------------------------------
% 1.34/0.52 % (20860)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)
% 1.34/0.52 TRYING [3]
% 1.34/0.52 % (20866)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.34/0.52 % (20867)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.34/0.53 % (20843)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)
% 1.34/0.53 % (20864)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)
% 1.34/0.53 TRYING [3]
% 1.34/0.53 % (20840)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.34/0.53 % (20851)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.34/0.53 % (20849)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)
% 1.34/0.53 % (20845)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.34/0.53 % (20858)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)
% 1.34/0.53 % (20839)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.34/0.53 % (20861)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)
% 1.34/0.53 % (20845)Instruction limit reached!
% 1.34/0.53 % (20845)------------------------------
% 1.34/0.53 % (20845)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.34/0.53 % (20845)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.34/0.53 % (20845)Termination reason: Unknown
% 1.34/0.53 % (20845)Termination phase: Saturation
% 1.34/0.53
% 1.34/0.53 % (20845)Memory used [KB]: 5500
% 1.34/0.53 % (20845)Time elapsed: 0.099 s
% 1.34/0.53 % (20845)Instructions burned: 7 (million)
% 1.34/0.53 % (20845)------------------------------
% 1.34/0.53 % (20845)------------------------------
% 1.34/0.53 % (20853)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)
% 1.34/0.54 % (20862)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.45/0.54 % (20861)First to succeed.
% 1.45/0.54 % (20852)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)
% 1.45/0.54 % (20856)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.45/0.54 % (20868)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)
% 1.45/0.54 % (20861)Refutation found. Thanks to Tanya!
% 1.45/0.54 % SZS status Theorem for theBenchmark
% 1.45/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 1.45/0.54 % (20861)------------------------------
% 1.45/0.54 % (20861)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.54 % (20861)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.54 % (20861)Termination reason: Refutation
% 1.45/0.54
% 1.45/0.54 % (20861)Memory used [KB]: 5373
% 1.45/0.54 % (20861)Time elapsed: 0.007 s
% 1.45/0.54 % (20861)Instructions burned: 3 (million)
% 1.45/0.54 % (20861)------------------------------
% 1.45/0.54 % (20861)------------------------------
% 1.45/0.54 % (20834)Success in time 0.186 s
%------------------------------------------------------------------------------