TSTP Solution File: GRP750-1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP750-1 : 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 : 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 : Thu Aug 31 01:29:50 EDT 2023
% Result : Unsatisfiable 0.21s 0.51s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 10
% Syntax : Number of formulae : 26 ( 26 unt; 0 def)
% Number of atoms : 26 ( 25 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 : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 13 (; 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2885,plain,
$false,
inference(subsumption_resolution,[],[f2884,f14]) ).
fof(f14,plain,
sF2 != sF5,
inference(definition_folding,[],[f7,f13,f12,f11,f10,f9,f8]) ).
fof(f8,plain,
mult(a,a) = sF0,
introduced(function_definition,[]) ).
fof(f9,plain,
mult(b,c) = sF1,
introduced(function_definition,[]) ).
fof(f10,plain,
mult(sF0,sF1) = sF2,
introduced(function_definition,[]) ).
fof(f11,plain,
mult(a,b) = sF3,
introduced(function_definition,[]) ).
fof(f12,plain,
mult(a,c) = sF4,
introduced(function_definition,[]) ).
fof(f13,plain,
mult(sF3,sF4) = sF5,
introduced(function_definition,[]) ).
fof(f7,axiom,
mult(mult(a,a),mult(b,c)) != mult(mult(a,b),mult(a,c)),
file('/export/starexec/sandbox2/tmp/tmp.fqyfnYzlXa/Vampire---4.8_1741',goals) ).
fof(f2884,plain,
sF2 = sF5,
inference(forward_demodulation,[],[f2874,f2]) ).
fof(f2,axiom,
! [X0,X1] : ld(X0,mult(X0,X1)) = X1,
file('/export/starexec/sandbox2/tmp/tmp.fqyfnYzlXa/Vampire---4.8_1741',f02) ).
fof(f2874,plain,
sF2 = ld(mult(a,sF4),mult(mult(a,sF4),sF5)),
inference(superposition,[],[f2,f2816]) ).
fof(f2816,plain,
mult(mult(a,sF4),sF2) = mult(mult(a,sF4),sF5),
inference(forward_demodulation,[],[f2815,f63]) ).
fof(f63,plain,
! [X19] : mult(mult(X19,sF3),mult(sF4,sF4)) = mult(mult(X19,sF4),sF5),
inference(superposition,[],[f6,f13]) ).
fof(f6,axiom,
! [X2,X0,X1] : mult(mult(X0,X1),mult(X2,X2)) = mult(mult(X0,X2),mult(X1,X2)),
file('/export/starexec/sandbox2/tmp/tmp.fqyfnYzlXa/Vampire---4.8_1741',f06) ).
fof(f2815,plain,
mult(mult(a,sF4),sF2) = mult(mult(a,sF3),mult(sF4,sF4)),
inference(forward_demodulation,[],[f2814,f363]) ).
fof(f363,plain,
mult(sF4,sF4) = mult(sF0,mult(c,c)),
inference(superposition,[],[f40,f12]) ).
fof(f40,plain,
! [X14] : mult(mult(a,X14),mult(a,X14)) = mult(sF0,mult(X14,X14)),
inference(superposition,[],[f6,f8]) ).
fof(f2814,plain,
mult(mult(a,sF3),mult(sF0,mult(c,c))) = mult(mult(a,sF4),sF2),
inference(forward_demodulation,[],[f2813,f10]) ).
fof(f2813,plain,
mult(mult(a,sF3),mult(sF0,mult(c,c))) = mult(mult(a,sF4),mult(sF0,sF1)),
inference(forward_demodulation,[],[f2749,f165]) ).
fof(f165,plain,
! [X10,X11] : mult(mult(a,sF0),mult(X10,X11)) = mult(mult(a,X10),mult(sF0,X11)),
inference(superposition,[],[f5,f8]) ).
fof(f5,axiom,
! [X2,X0,X1] : mult(mult(X0,mult(X0,X0)),mult(X1,X2)) = mult(mult(X0,X1),mult(mult(X0,X0),X2)),
file('/export/starexec/sandbox2/tmp/tmp.fqyfnYzlXa/Vampire---4.8_1741',f05) ).
fof(f2749,plain,
mult(mult(a,sF3),mult(sF0,mult(c,c))) = mult(mult(a,sF0),mult(sF4,sF1)),
inference(superposition,[],[f165,f429]) ).
fof(f429,plain,
mult(sF3,mult(c,c)) = mult(sF4,sF1),
inference(forward_demodulation,[],[f413,f9]) ).
fof(f413,plain,
mult(sF3,mult(c,c)) = mult(sF4,mult(b,c)),
inference(superposition,[],[f41,f12]) ).
fof(f41,plain,
! [X15] : mult(mult(a,X15),mult(b,X15)) = mult(sF3,mult(X15,X15)),
inference(superposition,[],[f6,f11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP750-1 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.35 % Computer : n028.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Tue Aug 29 00:06:40 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.15/0.35 This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.15/0.35 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.fqyfnYzlXa/Vampire---4.8_1741
% 0.15/0.36 % (1910)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.41 % (1917)dis+10_50_av=off:bd=preordered:drc=off:fde=unused:nwc=1.5:sims=off:sp=reverse_weighted_frequency:to=lpo_239 on Vampire---4 for (239ds/0Mi)
% 0.21/0.41 % (1915)lrs+10_20_av=off:bd=preordered:drc=off:fde=unused:sims=off:to=lpo:stl=62_369 on Vampire---4 for (369ds/0Mi)
% 0.21/0.41 % (1913)lrs+10_16_av=off:drc=off:nwc=1.5:sp=scramble:tgt=ground:stl=125_501 on Vampire---4 for (501ds/0Mi)
% 0.21/0.41 % (1912)lrs+10_5_av=off:drc=off:fde=none:nwc=1.1:sp=scramble:to=lpo:tgt=ground:stl=62_518 on Vampire---4 for (518ds/0Mi)
% 0.21/0.41 % (1918)lrs+10_10_av=off:drc=off:sp=frequency:tgt=ground:stl=62_102 on Vampire---4 for (102ds/0Mi)
% 0.21/0.41 % (1911)lrs+10_4:3_av=off:bd=preordered:drc=off:fde=unused:nwc=1.7:sp=weighted_frequency:to=lpo:tgt=ground:stl=125_692 on Vampire---4 for (692ds/0Mi)
% 0.21/0.42 % (1916)lrs+10_64_av=off:bd=off:drc=off:fde=unused:sp=frequency:tgt=full:stl=62_243 on Vampire---4 for (243ds/0Mi)
% 0.21/0.51 % (1913)First to succeed.
% 0.21/0.51 % (1913)Refutation found. Thanks to Tanya!
% 0.21/0.51 % SZS status Unsatisfiable for Vampire---4
% 0.21/0.51 % SZS output start Proof for Vampire---4
% See solution above
% 0.21/0.51 % (1913)------------------------------
% 0.21/0.51 % (1913)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.51 % (1913)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.51 % (1913)Termination reason: Refutation
% 0.21/0.51
% 0.21/0.51 % (1913)Memory used [KB]: 4093
% 0.21/0.51 % (1913)Time elapsed: 0.099 s
% 0.21/0.51 % (1913)------------------------------
% 0.21/0.51 % (1913)------------------------------
% 0.21/0.51 % (1910)Success in time 0.156 s
% 0.21/0.51 % Vampire---4.8 exiting
%------------------------------------------------------------------------------