TSTP Solution File: GRP710+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP710+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 : n001.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 : Fri Sep 1 15:57:27 EDT 2023
% Result : Theorem 0.22s 0.47s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 9
% Syntax : Number of formulae : 66 ( 50 unt; 0 def)
% Number of atoms : 82 ( 72 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 41 ( 25 ~; 10 |; 3 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 2 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 118 (; 104 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1743,plain,
$false,
inference(unit_resulting_resolution,[],[f1378,f1648]) ).
fof(f1648,plain,
! [X8,X7] : mult(i(mult(X7,X7)),mult(X7,mult(X7,X8))) = X8,
inference(forward_demodulation,[],[f1647,f16]) ).
fof(f16,plain,
! [X0] : mult(unit,X0) = X0,
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0] : mult(unit,X0) = X0,
file('/export/starexec/sandbox2/tmp/tmp.Mc73zSEadi/Vampire---4.8_17343',f02) ).
fof(f1647,plain,
! [X8,X7] : mult(i(mult(X7,X7)),mult(X7,mult(X7,X8))) = mult(unit,X8),
inference(forward_demodulation,[],[f1570,f18]) ).
fof(f18,plain,
! [X0] : unit = mult(i(X0),X0),
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0] : unit = mult(i(X0),X0),
file('/export/starexec/sandbox2/tmp/tmp.Mc73zSEadi/Vampire---4.8_17343',f05) ).
fof(f1570,plain,
! [X8,X7] : mult(i(mult(X7,X7)),mult(X7,mult(X7,X8))) = mult(mult(i(X7),X7),X8),
inference(superposition,[],[f19,f1456]) ).
fof(f1456,plain,
! [X0] : i(X0) = mult(i(mult(X0,X0)),X0),
inference(forward_demodulation,[],[f1353,f15]) ).
fof(f15,plain,
! [X0] : mult(X0,unit) = X0,
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] : mult(X0,unit) = X0,
file('/export/starexec/sandbox2/tmp/tmp.Mc73zSEadi/Vampire---4.8_17343',f01) ).
fof(f1353,plain,
! [X0] : mult(i(X0),unit) = mult(i(mult(X0,X0)),X0),
inference(superposition,[],[f1122,f18]) ).
fof(f1122,plain,
! [X22,X23] : mult(i(X22),mult(i(X22),X23)) = mult(i(mult(X22,X22)),X23),
inference(superposition,[],[f45,f1075]) ).
fof(f1075,plain,
! [X1] : mult(i(X1),i(X1)) = i(mult(X1,X1)),
inference(forward_demodulation,[],[f1035,f1074]) ).
fof(f1074,plain,
! [X3] : i(mult(X3,X3)) = mult(X3,i(mult(X3,mult(X3,X3)))),
inference(forward_demodulation,[],[f1073,f634]) ).
fof(f634,plain,
! [X2,X1] : mult(X1,mult(X2,mult(X2,i(mult(X1,mult(X2,mult(X2,mult(X1,mult(X2,X2))))))))) = i(mult(X1,mult(X2,X2))),
inference(forward_demodulation,[],[f633,f303]) ).
fof(f303,plain,
! [X2,X0,X1] : mult(X0,mult(X1,mult(X1,X2))) = mult(mult(X0,mult(X1,X1)),X2),
inference(superposition,[],[f19,f50]) ).
fof(f50,plain,
! [X3,X4] : mult(mult(X3,X4),X4) = mult(X3,mult(X4,X4)),
inference(forward_demodulation,[],[f37,f15]) ).
fof(f37,plain,
! [X3,X4] : mult(mult(X3,X4),X4) = mult(X3,mult(X4,mult(X4,unit))),
inference(superposition,[],[f19,f15]) ).
fof(f633,plain,
! [X2,X1] : i(mult(X1,mult(X2,X2))) = mult(X1,mult(X2,mult(X2,i(mult(mult(X1,mult(X2,X2)),mult(X1,mult(X2,X2))))))),
inference(forward_demodulation,[],[f622,f50]) ).
fof(f622,plain,
! [X2,X1] : mult(X1,mult(X2,mult(X2,i(mult(mult(mult(X1,X2),X2),mult(mult(X1,X2),X2)))))) = i(mult(mult(X1,X2),X2)),
inference(superposition,[],[f572,f19]) ).
fof(f572,plain,
! [X0] : i(X0) = mult(X0,i(mult(X0,X0))),
inference(forward_demodulation,[],[f548,f15]) ).
fof(f548,plain,
! [X0] : mult(X0,i(mult(X0,X0))) = mult(i(X0),unit),
inference(superposition,[],[f47,f142]) ).
fof(f142,plain,
! [X3] : unit = mult(X3,mult(X3,i(mult(X3,X3)))),
inference(superposition,[],[f45,f17]) ).
fof(f17,plain,
! [X0] : unit = mult(X0,i(X0)),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] : unit = mult(X0,i(X0)),
file('/export/starexec/sandbox2/tmp/tmp.Mc73zSEadi/Vampire---4.8_17343',f04) ).
fof(f47,plain,
! [X10,X11] : mult(X10,X11) = mult(i(X10),mult(X10,mult(X10,X11))),
inference(forward_demodulation,[],[f34,f16]) ).
fof(f34,plain,
! [X10,X11] : mult(i(X10),mult(X10,mult(X10,X11))) = mult(mult(unit,X10),X11),
inference(superposition,[],[f19,f18]) ).
fof(f1073,plain,
! [X3] : i(mult(X3,X3)) = mult(X3,mult(X3,mult(X3,mult(X3,i(mult(X3,mult(X3,mult(X3,mult(X3,mult(X3,X3)))))))))),
inference(forward_demodulation,[],[f1072,f45]) ).
fof(f1072,plain,
! [X3] : i(mult(X3,X3)) = mult(X3,mult(X3,mult(X3,mult(X3,i(mult(X3,mult(X3,mult(mult(X3,X3),mult(X3,X3))))))))),
inference(forward_demodulation,[],[f1071,f45]) ).
fof(f1071,plain,
! [X3] : i(mult(X3,X3)) = mult(X3,mult(X3,mult(X3,mult(X3,i(mult(mult(X3,X3),mult(mult(X3,X3),mult(X3,X3)))))))),
inference(forward_demodulation,[],[f1033,f45]) ).
fof(f1033,plain,
! [X3] : i(mult(X3,X3)) = mult(X3,mult(X3,mult(mult(X3,X3),i(mult(mult(X3,X3),mult(mult(X3,X3),mult(X3,X3))))))),
inference(superposition,[],[f942,f45]) ).
fof(f942,plain,
! [X0] : i(X0) = mult(X0,mult(X0,i(mult(X0,mult(X0,X0))))),
inference(forward_demodulation,[],[f889,f15]) ).
fof(f889,plain,
! [X0] : mult(i(X0),unit) = mult(X0,mult(X0,i(mult(X0,mult(X0,X0))))),
inference(superposition,[],[f47,f51]) ).
fof(f51,plain,
! [X6,X5] : unit = mult(X5,mult(X6,mult(X6,i(mult(X5,mult(X6,X6)))))),
inference(forward_demodulation,[],[f38,f50]) ).
fof(f38,plain,
! [X6,X5] : unit = mult(X5,mult(X6,mult(X6,i(mult(mult(X5,X6),X6))))),
inference(superposition,[],[f19,f17]) ).
fof(f1035,plain,
! [X1] : mult(i(X1),i(X1)) = mult(X1,i(mult(X1,mult(X1,X1)))),
inference(superposition,[],[f47,f942]) ).
fof(f45,plain,
! [X4,X5] : mult(X4,mult(X4,X5)) = mult(mult(X4,X4),X5),
inference(forward_demodulation,[],[f32,f16]) ).
fof(f32,plain,
! [X4,X5] : mult(unit,mult(X4,mult(X4,X5))) = mult(mult(X4,X4),X5),
inference(superposition,[],[f19,f16]) ).
fof(f19,plain,
! [X2,X0,X1] : mult(X2,mult(X1,mult(X1,X0))) = mult(mult(mult(X2,X1),X1),X0),
inference(cnf_transformation,[],[f9]) ).
fof(f9,plain,
! [X0,X1,X2] : mult(X2,mult(X1,mult(X1,X0))) = mult(mult(mult(X2,X1),X1),X0),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X1,X2,X0] : mult(X0,mult(X2,mult(X2,X1))) = mult(mult(mult(X0,X2),X2),X1),
file('/export/starexec/sandbox2/tmp/tmp.Mc73zSEadi/Vampire---4.8_17343',f03) ).
fof(f1378,plain,
! [X6] : sK3 != mult(i(mult(sK2,sK2)),X6),
inference(superposition,[],[f847,f1122]) ).
fof(f847,plain,
! [X30] : sK3 != mult(i(sK2),X30),
inference(superposition,[],[f440,f44]) ).
fof(f44,plain,
! [X2,X3] : mult(i(X2),X3) = mult(X2,mult(i(X2),mult(i(X2),X3))),
inference(forward_demodulation,[],[f31,f16]) ).
fof(f31,plain,
! [X2,X3] : mult(X2,mult(i(X2),mult(i(X2),X3))) = mult(mult(unit,i(X2)),X3),
inference(superposition,[],[f19,f17]) ).
fof(f440,plain,
! [X0] : sK3 != mult(sK2,X0),
inference(unit_resulting_resolution,[],[f438,f21]) ).
fof(f21,plain,
! [X5] :
( ~ sP4
| sK3 != mult(sK2,X5) ),
inference(general_splitting,[],[f14,f20_D]) ).
fof(f20,plain,
! [X2] :
( sK0 != mult(X2,sK1)
| sP4 ),
inference(cnf_transformation,[],[f20_D]) ).
fof(f20_D,plain,
( ! [X2] : sK0 != mult(X2,sK1)
<=> ~ sP4 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP4])]) ).
fof(f14,plain,
! [X2,X5] :
( sK0 != mult(X2,sK1)
| sK3 != mult(sK2,X5) ),
inference(cnf_transformation,[],[f13]) ).
fof(f13,plain,
( ! [X2] : sK0 != mult(X2,sK1)
| ! [X5] : sK3 != mult(sK2,X5) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f10,f12,f11]) ).
fof(f11,plain,
( ? [X0,X1] :
! [X2] : mult(X2,X1) != X0
=> ! [X2] : sK0 != mult(X2,sK1) ),
introduced(choice_axiom,[]) ).
fof(f12,plain,
( ? [X3,X4] :
! [X5] : mult(X3,X5) != X4
=> ! [X5] : sK3 != mult(sK2,X5) ),
introduced(choice_axiom,[]) ).
fof(f10,plain,
( ? [X0,X1] :
! [X2] : mult(X2,X1) != X0
| ? [X3,X4] :
! [X5] : mult(X3,X5) != X4 ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,plain,
~ ( ! [X0,X1] :
? [X2] : mult(X2,X1) = X0
& ! [X3,X4] :
? [X5] : mult(X3,X5) = X4 ),
inference(rectify,[],[f7]) ).
fof(f7,negated_conjecture,
~ ( ! [X6,X7] :
? [X8] : mult(X8,X7) = X6
& ! [X3,X4] :
? [X5] : mult(X3,X5) = X4 ),
inference(negated_conjecture,[],[f6]) ).
fof(f6,conjecture,
( ! [X6,X7] :
? [X8] : mult(X8,X7) = X6
& ! [X3,X4] :
? [X5] : mult(X3,X5) = X4 ),
file('/export/starexec/sandbox2/tmp/tmp.Mc73zSEadi/Vampire---4.8_17343',goals) ).
fof(f438,plain,
sP4,
inference(unit_resulting_resolution,[],[f15,f437]) ).
fof(f437,plain,
! [X8] :
( sK0 != X8
| sP4 ),
inference(forward_demodulation,[],[f436,f15]) ).
fof(f436,plain,
! [X8] :
( sK0 != mult(X8,unit)
| sP4 ),
inference(forward_demodulation,[],[f421,f18]) ).
fof(f421,plain,
! [X8] :
( sK0 != mult(X8,mult(i(sK1),sK1))
| sP4 ),
inference(superposition,[],[f332,f329]) ).
fof(f329,plain,
! [X11] : mult(i(X11),mult(X11,X11)) = X11,
inference(forward_demodulation,[],[f300,f16]) ).
fof(f300,plain,
! [X11] : mult(i(X11),mult(X11,X11)) = mult(unit,X11),
inference(superposition,[],[f50,f18]) ).
fof(f332,plain,
! [X0,X1] :
( sK0 != mult(X0,mult(X1,mult(X1,mult(sK1,sK1))))
| sP4 ),
inference(superposition,[],[f324,f19]) ).
fof(f324,plain,
! [X35] :
( sK0 != mult(X35,mult(sK1,sK1))
| sP4 ),
inference(superposition,[],[f20,f50]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GRP710+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.36 % Computer : n001.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 : Wed Aug 30 17:59:40 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.22/0.42 % (17705)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43 % (17712)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.22/0.43 % (17713)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.22/0.43 % (17715)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.22/0.43 % (17714)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 Vampire---4 for (569ds/0Mi)
% 0.22/0.43 % (17716)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 Vampire---4 for (531ds/0Mi)
% 0.22/0.43 % (17717)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 Vampire---4 for (522ds/0Mi)
% 0.22/0.43 % (17718)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 Vampire---4 for (497ds/0Mi)
% 0.22/0.43 TRYING [1]
% 0.22/0.43 TRYING [2]
% 0.22/0.43 TRYING [3]
% 0.22/0.43 TRYING [1]
% 0.22/0.43 TRYING [2]
% 0.22/0.43 TRYING [4]
% 0.22/0.43 TRYING [3]
% 0.22/0.44 TRYING [5]
% 0.22/0.44 TRYING [4]
% 0.22/0.47 % (17718)First to succeed.
% 0.22/0.47 % (17718)Refutation found. Thanks to Tanya!
% 0.22/0.47 % SZS status Theorem for Vampire---4
% 0.22/0.47 % SZS output start Proof for Vampire---4
% See solution above
% 0.22/0.47 % (17718)------------------------------
% 0.22/0.47 % (17718)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.47 % (17718)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.47 % (17718)Termination reason: Refutation
% 0.22/0.47
% 0.22/0.47 % (17718)Memory used [KB]: 1918
% 0.22/0.47 % (17718)Time elapsed: 0.043 s
% 0.22/0.47 % (17718)------------------------------
% 0.22/0.47 % (17718)------------------------------
% 0.22/0.47 % (17705)Success in time 0.104 s
% 0.22/0.47 % Vampire---4.8 exiting
%------------------------------------------------------------------------------