TSTP Solution File: GRP696-1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP696-1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n002.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 : Thu Aug 31 01:29:25 EDT 2023
% Result : Unsatisfiable 3.15s 0.86s
% Output : Refutation 3.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 20
% Syntax : Number of formulae : 77 ( 77 unt; 0 def)
% Number of atoms : 77 ( 76 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 12 con; 0-2 aty)
% Number of variables : 80 (; 80 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f24140,plain,
$false,
inference(subsumption_resolution,[],[f24139,f21]) ).
fof(f21,plain,
sF3 != sF7,
inference(definition_folding,[],[f12,f20,f19,f18,f17,f16,f15,f14,f13]) ).
fof(f13,plain,
mult(a,b) = sF0,
introduced(function_definition,[]) ).
fof(f14,plain,
mult(sF0,a) = sF1,
introduced(function_definition,[]) ).
fof(f15,plain,
mult(a,c) = sF2,
introduced(function_definition,[]) ).
fof(f16,plain,
mult(sF1,sF2) = sF3,
introduced(function_definition,[]) ).
fof(f17,plain,
mult(b,a) = sF4,
introduced(function_definition,[]) ).
fof(f18,plain,
mult(sF4,a) = sF5,
introduced(function_definition,[]) ).
fof(f19,plain,
mult(sF5,c) = sF6,
introduced(function_definition,[]) ).
fof(f20,plain,
mult(a,sF6) = sF7,
introduced(function_definition,[]) ).
fof(f12,axiom,
mult(mult(mult(a,b),a),mult(a,c)) != mult(a,mult(mult(mult(b,a),a),c)),
file('/export/starexec/sandbox2/tmp/tmp.BtgJIYLHjy/Vampire---4.8_11993',goals) ).
fof(f24139,plain,
sF3 = sF7,
inference(forward_demodulation,[],[f24129,f16]) ).
fof(f24129,plain,
mult(sF1,sF2) = sF7,
inference(superposition,[],[f3,f24120]) ).
fof(f24120,plain,
sF1 = rd(sF7,sF2),
inference(forward_demodulation,[],[f24119,f13178]) ).
fof(f13178,plain,
sF1 = rd(mult(a,sF5),a),
inference(superposition,[],[f4,f13159]) ).
fof(f13159,plain,
mult(sF1,a) = mult(a,sF5),
inference(superposition,[],[f1,f12960]) ).
fof(f12960,plain,
sF5 = ld(a,mult(sF1,a)),
inference(forward_demodulation,[],[f12959,f18]) ).
fof(f12959,plain,
mult(sF4,a) = ld(a,mult(sF1,a)),
inference(forward_demodulation,[],[f12958,f63]) ).
fof(f63,plain,
! [X5] : i(i(X5)) = X5,
inference(forward_demodulation,[],[f34,f32]) ).
fof(f32,plain,
! [X1] : i(X1) = ld(X1,unit),
inference(superposition,[],[f2,f11]) ).
fof(f11,axiom,
! [X0] : unit = mult(X0,i(X0)),
file('/export/starexec/sandbox2/tmp/tmp.BtgJIYLHjy/Vampire---4.8_11993',c11) ).
fof(f2,axiom,
! [X0,X1] : ld(X0,mult(X0,X1)) = X1,
file('/export/starexec/sandbox2/tmp/tmp.BtgJIYLHjy/Vampire---4.8_11993',c02) ).
fof(f34,plain,
! [X5] : ld(i(X5),unit) = X5,
inference(superposition,[],[f2,f10]) ).
fof(f10,axiom,
! [X0] : unit = mult(i(X0),X0),
file('/export/starexec/sandbox2/tmp/tmp.BtgJIYLHjy/Vampire---4.8_11993',c10) ).
fof(f12958,plain,
i(i(mult(sF4,a))) = ld(a,mult(sF1,a)),
inference(forward_demodulation,[],[f12935,f105]) ).
fof(f105,plain,
! [X2,X3] : i(mult(X3,X2)) = ld(X2,i(X3)),
inference(superposition,[],[f2,f7]) ).
fof(f7,axiom,
! [X0,X1] : mult(X0,i(mult(X1,X0))) = i(X1),
file('/export/starexec/sandbox2/tmp/tmp.BtgJIYLHjy/Vampire---4.8_11993',c07) ).
fof(f12935,plain,
ld(a,mult(sF1,a)) = i(ld(a,i(sF4))),
inference(superposition,[],[f917,f12907]) ).
fof(f12907,plain,
i(sF4) = ld(sF1,a),
inference(superposition,[],[f63,f12889]) ).
fof(f12889,plain,
sF4 = i(ld(sF1,a)),
inference(forward_demodulation,[],[f12882,f66]) ).
fof(f66,plain,
! [X2,X3] : rd(X3,ld(X2,X3)) = X2,
inference(superposition,[],[f4,f1]) ).
fof(f12882,plain,
i(ld(sF1,a)) = rd(a,ld(sF4,a)),
inference(superposition,[],[f66,f12585]) ).
fof(f12585,plain,
ld(sF4,a) = ld(i(ld(sF1,a)),a),
inference(forward_demodulation,[],[f12584,f63]) ).
fof(f12584,plain,
i(i(ld(sF4,a))) = ld(i(ld(sF1,a)),a),
inference(forward_demodulation,[],[f12583,f3751]) ).
fof(f3751,plain,
i(ld(sF4,a)) = ld(ld(b,a),a),
inference(superposition,[],[f3644,f17]) ).
fof(f3644,plain,
! [X19,X20] : ld(ld(X20,X19),X19) = i(ld(mult(X20,X19),X19)),
inference(forward_demodulation,[],[f3643,f374]) ).
fof(f374,plain,
! [X4,X5] : i(ld(X4,X5)) = mult(i(X5),X4),
inference(forward_demodulation,[],[f364,f63]) ).
fof(f364,plain,
! [X4,X5] : i(ld(X4,X5)) = mult(i(X5),i(i(X4))),
inference(superposition,[],[f7,f91]) ).
fof(f91,plain,
! [X4,X5] : i(X4) = mult(ld(X4,X5),i(X5)),
inference(superposition,[],[f7,f1]) ).
fof(f3643,plain,
! [X19,X20] : mult(i(X19),mult(X20,X19)) = ld(ld(X20,X19),X19),
inference(forward_demodulation,[],[f3642,f63]) ).
fof(f3642,plain,
! [X19,X20] : mult(i(X19),mult(X20,X19)) = ld(i(i(ld(X20,X19))),X19),
inference(forward_demodulation,[],[f3641,f374]) ).
fof(f3641,plain,
! [X19,X20] : mult(i(X19),mult(X20,X19)) = ld(i(mult(i(X19),X20)),X19),
inference(forward_demodulation,[],[f191,f866]) ).
fof(f866,plain,
! [X2,X1] : ld(i(X1),X2) = rd(X1,i(X2)),
inference(superposition,[],[f363,f63]) ).
fof(f363,plain,
! [X2,X3] : ld(X2,X3) = rd(i(X2),i(X3)),
inference(superposition,[],[f4,f91]) ).
fof(f191,plain,
! [X19,X20] : mult(i(X19),mult(X20,X19)) = rd(mult(i(X19),X20),i(X19)),
inference(forward_demodulation,[],[f166,f5]) ).
fof(f5,axiom,
! [X0] : mult(X0,unit) = X0,
file('/export/starexec/sandbox2/tmp/tmp.BtgJIYLHjy/Vampire---4.8_11993',c05) ).
fof(f166,plain,
! [X19,X20] : mult(i(X19),mult(X20,X19)) = mult(rd(mult(i(X19),X20),i(X19)),unit),
inference(superposition,[],[f8,f10]) ).
fof(f8,axiom,
! [X2,X0,X1] : mult(X0,mult(X1,X2)) = mult(rd(mult(X0,X1),X0),mult(X0,X2)),
file('/export/starexec/sandbox2/tmp/tmp.BtgJIYLHjy/Vampire---4.8_11993',c08) ).
fof(f12583,plain,
i(ld(ld(b,a),a)) = ld(i(ld(sF1,a)),a),
inference(forward_demodulation,[],[f12571,f3752]) ).
fof(f3752,plain,
i(ld(sF1,a)) = ld(ld(sF0,a),a),
inference(superposition,[],[f3644,f14]) ).
fof(f12571,plain,
i(ld(ld(b,a),a)) = ld(ld(ld(sF0,a),a),a),
inference(superposition,[],[f3644,f12350]) ).
fof(f12350,plain,
ld(b,a) = mult(ld(sF0,a),a),
inference(superposition,[],[f1,f11990]) ).
fof(f11990,plain,
a = ld(ld(sF0,a),ld(b,a)),
inference(superposition,[],[f10962,f13]) ).
fof(f10962,plain,
! [X11,X12] : ld(ld(mult(X12,X11),X12),ld(X11,X12)) = X12,
inference(superposition,[],[f52,f3178]) ).
fof(f3178,plain,
! [X0,X1] : rd(ld(X0,X1),X1) = ld(mult(X1,X0),X1),
inference(forward_demodulation,[],[f3086,f63]) ).
fof(f3086,plain,
! [X0,X1] : rd(ld(X0,X1),X1) = i(i(ld(mult(X1,X0),X1))),
inference(superposition,[],[f63,f2190]) ).
fof(f2190,plain,
! [X2,X3] : i(ld(mult(X2,X3),X2)) = i(rd(ld(X3,X2),X2)),
inference(forward_demodulation,[],[f2189,f92]) ).
fof(f92,plain,
! [X6,X7] : i(rd(X6,X7)) = mult(X7,i(X6)),
inference(superposition,[],[f7,f3]) ).
fof(f2189,plain,
! [X2,X3] : i(ld(mult(X2,X3),X2)) = mult(X2,i(ld(X3,X2))),
inference(forward_demodulation,[],[f2188,f374]) ).
fof(f2188,plain,
! [X2,X3] : mult(X2,mult(i(X2),X3)) = i(ld(mult(X2,X3),X2)),
inference(forward_demodulation,[],[f180,f374]) ).
fof(f180,plain,
! [X2,X3] : mult(X2,mult(i(X2),X3)) = mult(i(X2),mult(X2,X3)),
inference(forward_demodulation,[],[f143,f68]) ).
fof(f68,plain,
! [X7] : i(X7) = rd(unit,X7),
inference(superposition,[],[f4,f10]) ).
fof(f143,plain,
! [X2,X3] : mult(X2,mult(i(X2),X3)) = mult(rd(unit,X2),mult(X2,X3)),
inference(superposition,[],[f8,f11]) ).
fof(f52,plain,
! [X0,X1] : ld(rd(X0,X1),X0) = X1,
inference(superposition,[],[f2,f3]) ).
fof(f917,plain,
! [X24,X23] : ld(X23,mult(X24,X23)) = i(ld(X23,ld(X24,X23))),
inference(forward_demodulation,[],[f890,f374]) ).
fof(f890,plain,
! [X24,X23] : ld(X23,mult(X24,X23)) = mult(i(ld(X24,X23)),X23),
inference(backward_demodulation,[],[f302,f374]) ).
fof(f302,plain,
! [X24,X23] : mult(mult(i(X23),X24),X23) = ld(X23,mult(X24,X23)),
inference(forward_demodulation,[],[f254,f6]) ).
fof(f6,axiom,
! [X0] : mult(unit,X0) = X0,
file('/export/starexec/sandbox2/tmp/tmp.BtgJIYLHjy/Vampire---4.8_11993',c06) ).
fof(f254,plain,
! [X24,X23] : mult(mult(i(X23),X24),X23) = mult(unit,ld(X23,mult(X24,X23))),
inference(superposition,[],[f9,f10]) ).
fof(f9,axiom,
! [X2,X0,X1] : mult(mult(X0,X1),X2) = mult(mult(X0,X2),ld(X2,mult(X1,X2))),
file('/export/starexec/sandbox2/tmp/tmp.BtgJIYLHjy/Vampire---4.8_11993',c09) ).
fof(f1,axiom,
! [X0,X1] : mult(X0,ld(X0,X1)) = X1,
file('/export/starexec/sandbox2/tmp/tmp.BtgJIYLHjy/Vampire---4.8_11993',c01) ).
fof(f4,axiom,
! [X0,X1] : rd(mult(X0,X1),X1) = X0,
file('/export/starexec/sandbox2/tmp/tmp.BtgJIYLHjy/Vampire---4.8_11993',c04) ).
fof(f24119,plain,
rd(mult(a,sF5),a) = rd(sF7,sF2),
inference(forward_demodulation,[],[f24095,f20]) ).
fof(f24095,plain,
rd(mult(a,sF5),a) = rd(mult(a,sF6),sF2),
inference(superposition,[],[f1804,f19]) ).
fof(f1804,plain,
! [X1] : rd(mult(a,X1),a) = rd(mult(a,mult(X1,c)),sF2),
inference(superposition,[],[f4,f168]) ).
fof(f168,plain,
! [X22] : mult(a,mult(X22,c)) = mult(rd(mult(a,X22),a),sF2),
inference(superposition,[],[f8,f15]) ).
fof(f3,axiom,
! [X0,X1] : mult(rd(X0,X1),X1) = X0,
file('/export/starexec/sandbox2/tmp/tmp.BtgJIYLHjy/Vampire---4.8_11993',c03) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP696-1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.36 % Computer : n002.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Mon Aug 28 22:02:34 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.14/0.36 This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.14/0.36 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.BtgJIYLHjy/Vampire---4.8_11993
% 0.14/0.36 % (12226)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.42 % (12232)ott+10_4_av=off:drc=off:fde=none:nwc=1.2:sims=off:to=lpo:tgt=ground_606 on Vampire---4 for (606ds/0Mi)
% 0.23/0.42 % (12228)lrs+10_6_av=off:drc=off:fde=unused:nwc=2.5:sims=off:sp=reverse_frequency:stl=188_1200 on Vampire---4 for (1200ds/0Mi)
% 0.23/0.42 % (12231)ott+10_32_av=off:drc=off:fde=none:nwc=5.0:sp=reverse_weighted_frequency:tgt=full_1200 on Vampire---4 for (1200ds/0Mi)
% 0.23/0.43 % (12230)ott+10_11_av=off:bd=off:drc=off:fde=none:nwc=1.2:to=lpo:tgt=ground_1200 on Vampire---4 for (1200ds/0Mi)
% 0.23/0.43 % (12229)ott+10_14_av=off:bd=preordered:drc=off:sp=weighted_frequency_1200 on Vampire---4 for (1200ds/0Mi)
% 0.23/0.43 % (12233)dis+10_7_av=off:drc=off:nwc=1.5:sims=off:sp=scramble:tgt=ground_485 on Vampire---4 for (485ds/0Mi)
% 0.23/0.45 % (12234)lrs+10_50_av=off:bd=off:drc=off:sp=reverse_arity:tgt=ground:stl=62_361 on Vampire---4 for (361ds/0Mi)
% 3.15/0.85 % (12233)First to succeed.
% 3.15/0.86 % (12233)Refutation found. Thanks to Tanya!
% 3.15/0.86 % SZS status Unsatisfiable for Vampire---4
% 3.15/0.86 % SZS output start Proof for Vampire---4
% See solution above
% 3.15/0.86 % (12233)------------------------------
% 3.15/0.86 % (12233)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 3.15/0.86 % (12233)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 3.15/0.86 % (12233)Termination reason: Refutation
% 3.15/0.86
% 3.15/0.86 % (12233)Memory used [KB]: 15479
% 3.15/0.86 % (12233)Time elapsed: 0.428 s
% 3.15/0.86 % (12233)------------------------------
% 3.15/0.86 % (12233)------------------------------
% 3.15/0.86 % (12226)Success in time 0.493 s
% 3.15/0.86 % Vampire---4.8 exiting
%------------------------------------------------------------------------------