TSTP Solution File: GRP710+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---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 : n013.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 01:29:41 EDT 2023
% Result : Theorem 0.22s 0.46s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 10
% Syntax : Number of formulae : 60 ( 39 unt; 0 def)
% Number of atoms : 81 ( 62 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 55 ( 34 ~; 14 |; 3 &)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 3 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 105 (; 91 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f774,plain,
$false,
inference(avatar_sat_refutation,[],[f26,f542,f773]) ).
fof(f773,plain,
~ spl4_1,
inference(avatar_contradiction_clause,[],[f772]) ).
fof(f772,plain,
( $false
| ~ spl4_1 ),
inference(equality_resolution,[],[f761]) ).
fof(f761,plain,
( ! [X14] : sK3 != X14
| ~ spl4_1 ),
inference(superposition,[],[f22,f732]) ).
fof(f732,plain,
! [X2,X1] : mult(X1,mult(i(X1),X2)) = X2,
inference(forward_demodulation,[],[f731,f49]) ).
fof(f49,plain,
! [X2,X3] : mult(i(X2),X3) = mult(X2,mult(i(X2),mult(i(X2),X3))),
inference(forward_demodulation,[],[f36,f16]) ).
fof(f16,plain,
! [X0] : mult(unit,X0) = X0,
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0] : mult(unit,X0) = X0,
file('/export/starexec/sandbox/tmp/tmp.7nuR8P2TYn/Vampire---4.8_19895',f02) ).
fof(f36,plain,
! [X2,X3] : mult(X2,mult(i(X2),mult(i(X2),X3))) = mult(mult(unit,i(X2)),X3),
inference(superposition,[],[f19,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/sandbox/tmp/tmp.7nuR8P2TYn/Vampire---4.8_19895',f04) ).
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/sandbox/tmp/tmp.7nuR8P2TYn/Vampire---4.8_19895',f03) ).
fof(f731,plain,
! [X2,X1] : mult(X1,mult(X1,mult(i(X1),mult(i(X1),X2)))) = X2,
inference(forward_demodulation,[],[f730,f50]) ).
fof(f50,plain,
! [X4,X5] : mult(X4,mult(X4,X5)) = mult(mult(X4,X4),X5),
inference(forward_demodulation,[],[f37,f16]) ).
fof(f37,plain,
! [X4,X5] : mult(unit,mult(X4,mult(X4,X5))) = mult(mult(X4,X4),X5),
inference(superposition,[],[f19,f16]) ).
fof(f730,plain,
! [X2,X1] : mult(mult(X1,X1),mult(i(X1),mult(i(X1),X2))) = X2,
inference(forward_demodulation,[],[f716,f587]) ).
fof(f587,plain,
! [X13] : i(i(X13)) = X13,
inference(forward_demodulation,[],[f586,f15]) ).
fof(f15,plain,
! [X0] : mult(X0,unit) = X0,
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] : mult(X0,unit) = X0,
file('/export/starexec/sandbox/tmp/tmp.7nuR8P2TYn/Vampire---4.8_19895',f01) ).
fof(f586,plain,
! [X13] : mult(i(i(X13)),unit) = X13,
inference(forward_demodulation,[],[f570,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/sandbox/tmp/tmp.7nuR8P2TYn/Vampire---4.8_19895',f05) ).
fof(f570,plain,
! [X13] : mult(i(i(X13)),mult(i(X13),X13)) = X13,
inference(superposition,[],[f52,f278]) ).
fof(f278,plain,
! [X8] : mult(i(X8),mult(X8,X8)) = X8,
inference(forward_demodulation,[],[f256,f16]) ).
fof(f256,plain,
! [X8] : mult(i(X8),mult(X8,X8)) = mult(unit,X8),
inference(superposition,[],[f55,f18]) ).
fof(f55,plain,
! [X3,X4] : mult(mult(X3,X4),X4) = mult(X3,mult(X4,X4)),
inference(forward_demodulation,[],[f42,f15]) ).
fof(f42,plain,
! [X3,X4] : mult(mult(X3,X4),X4) = mult(X3,mult(X4,mult(X4,unit))),
inference(superposition,[],[f19,f15]) ).
fof(f52,plain,
! [X10,X11] : mult(X10,X11) = mult(i(X10),mult(X10,mult(X10,X11))),
inference(forward_demodulation,[],[f39,f16]) ).
fof(f39,plain,
! [X10,X11] : mult(i(X10),mult(X10,mult(X10,X11))) = mult(mult(unit,X10),X11),
inference(superposition,[],[f19,f18]) ).
fof(f716,plain,
! [X2,X1] : mult(i(i(mult(X1,X1))),mult(i(X1),mult(i(X1),X2))) = X2,
inference(superposition,[],[f375,f655]) ).
fof(f655,plain,
! [X3] : i(mult(X3,X3)) = mult(i(X3),i(X3)),
inference(forward_demodulation,[],[f654,f15]) ).
fof(f654,plain,
! [X3] : mult(i(X3),i(X3)) = mult(i(mult(X3,X3)),unit),
inference(forward_demodulation,[],[f632,f17]) ).
fof(f632,plain,
! [X3] : mult(i(X3),i(X3)) = mult(i(mult(X3,X3)),mult(X3,i(X3))),
inference(superposition,[],[f375,f274]) ).
fof(f274,plain,
! [X1] : i(X1) = mult(X1,mult(i(X1),i(X1))),
inference(forward_demodulation,[],[f251,f16]) ).
fof(f251,plain,
! [X1] : mult(X1,mult(i(X1),i(X1))) = mult(unit,i(X1)),
inference(superposition,[],[f55,f17]) ).
fof(f375,plain,
! [X12,X13] : mult(i(mult(X12,X12)),mult(X12,mult(X12,X13))) = X13,
inference(forward_demodulation,[],[f311,f16]) ).
fof(f311,plain,
! [X12,X13] : mult(i(mult(X12,X12)),mult(X12,mult(X12,X13))) = mult(unit,X13),
inference(superposition,[],[f56,f18]) ).
fof(f56,plain,
! [X2,X0,X1] : mult(X2,mult(X1,mult(X1,X0))) = mult(mult(X2,mult(X1,X1)),X0),
inference(backward_demodulation,[],[f19,f55]) ).
fof(f22,plain,
( ! [X5] : sK3 != mult(sK2,X5)
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f21]) ).
fof(f21,plain,
( spl4_1
<=> ! [X5] : sK3 != mult(sK2,X5) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
fof(f542,plain,
~ spl4_2,
inference(avatar_contradiction_clause,[],[f541]) ).
fof(f541,plain,
( $false
| ~ spl4_2 ),
inference(equality_resolution,[],[f540]) ).
fof(f540,plain,
( ! [X8] : sK0 != X8
| ~ spl4_2 ),
inference(forward_demodulation,[],[f539,f15]) ).
fof(f539,plain,
( ! [X8] : sK0 != mult(X8,unit)
| ~ spl4_2 ),
inference(forward_demodulation,[],[f524,f18]) ).
fof(f524,plain,
( ! [X8] : sK0 != mult(X8,mult(i(sK1),sK1))
| ~ spl4_2 ),
inference(superposition,[],[f348,f278]) ).
fof(f348,plain,
( ! [X73,X74] : sK0 != mult(X73,mult(X74,mult(X74,mult(sK1,sK1))))
| ~ spl4_2 ),
inference(superposition,[],[f267,f56]) ).
fof(f267,plain,
( ! [X13] : sK0 != mult(X13,mult(sK1,sK1))
| ~ spl4_2 ),
inference(superposition,[],[f25,f55]) ).
fof(f25,plain,
( ! [X2] : sK0 != mult(X2,sK1)
| ~ spl4_2 ),
inference(avatar_component_clause,[],[f24]) ).
fof(f24,plain,
( spl4_2
<=> ! [X2] : sK0 != mult(X2,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).
fof(f26,plain,
( spl4_1
| spl4_2 ),
inference(avatar_split_clause,[],[f14,f24,f21]) ).
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/sandbox/tmp/tmp.7nuR8P2TYn/Vampire---4.8_19895',goals) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP710+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.36 % Computer : n013.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 22:47:01 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.14/0.36 This is a FOF_THM_RFO_PEQ problem
% 0.14/0.36 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.7nuR8P2TYn/Vampire---4.8_19895
% 0.14/0.37 % (20132)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43 % (20139)lrs+3_20_av=off:bd=preordered:drc=off:fsd=off:fsr=off:fde=unused:irw=on:lcm=reverse:sos=theory:stl=315_961 on Vampire---4 for (961ds/0Mi)
% 0.22/0.43 % (20138)ott-4_11_av=off:bd=preordered:bce=on:drc=off:flr=on:fsr=off:lma=on:nwc=2.0:sp=occurrence:tgt=ground:urr=ec_only_1010 on Vampire---4 for (1010ds/0Mi)
% 0.22/0.43 % (20136)lrs-11_28_aac=none:afr=on:anc=none:bs=on:drc=off:fde=unused:gs=on:nm=2:nwc=1.3:sp=frequency:stl=188_1092 on Vampire---4 for (1092ds/0Mi)
% 0.22/0.43 % (20141)lrs-11_32_av=off:bd=off:bs=on:bsr=on:drc=off:flr=on:fsd=off:fsr=off:fde=none:gsp=on:irw=on:lcm=predicate:nm=4:sp=scramble:stl=125_825 on Vampire---4 for (825ds/0Mi)
% 0.22/0.43 % (20135)lrs+10_11_cond=on:drc=off:flr=on:fsr=off:gsp=on:gs=on:gsem=off:lma=on:msp=off:nm=4:nwc=1.5:nicw=on:sas=z3:sims=off:sp=scramble:stl=188_1169 on Vampire---4 for (1169ds/0Mi)
% 0.22/0.43 % (20140)ott+1003_4:1_av=off:cond=on:drc=off:fsd=off:fsr=off:fde=none:gsp=on:nm=2:nwc=1.5:sos=all:sp=reverse_arity:tgt=full_871 on Vampire---4 for (871ds/0Mi)
% 0.22/0.43 % (20140)Refutation not found, incomplete strategy% (20140)------------------------------
% 0.22/0.43 % (20140)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.43 % (20140)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.43 % (20140)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.43
% 0.22/0.43 % (20140)Memory used [KB]: 895
% 0.22/0.43 % (20140)Time elapsed: 0.003 s
% 0.22/0.43 % (20140)------------------------------
% 0.22/0.43 % (20140)------------------------------
% 0.22/0.45 % (20142)ott+11_14_av=off:bs=on:bsr=on:cond=on:flr=on:fsd=off:fde=unused:gsp=on:nm=4:nwc=1.5:tgt=full_501 on Vampire---4 for (501ds/0Mi)
% 0.22/0.46 % (20136)First to succeed.
% 0.22/0.46 % (20136)Refutation found. Thanks to Tanya!
% 0.22/0.46 % SZS status Theorem for Vampire---4
% 0.22/0.46 % SZS output start Proof for Vampire---4
% See solution above
% 0.22/0.47 % (20136)------------------------------
% 0.22/0.47 % (20136)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.47 % (20136)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.47 % (20136)Termination reason: Refutation
% 0.22/0.47
% 0.22/0.47 % (20136)Memory used [KB]: 10490
% 0.22/0.47 % (20136)Time elapsed: 0.037 s
% 0.22/0.47 % (20136)------------------------------
% 0.22/0.47 % (20136)------------------------------
% 0.22/0.47 % (20132)Success in time 0.096 s
% 0.22/0.47 % Vampire---4.8 exiting
%------------------------------------------------------------------------------