TSTP Solution File: GRP039-7 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP039-7 : TPTP v8.1.2. Bugfixed v1.0.1.
% 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 : n032.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 01:20:41 EDT 2023
% Result : Unsatisfiable 0.15s 0.40s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 12
% Syntax : Number of formulae : 38 ( 18 unt; 0 def)
% Number of atoms : 71 ( 16 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 65 ( 32 ~; 33 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 22 (; 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f201,plain,
$false,
inference(subsumption_resolution,[],[f13,f200]) ).
fof(f200,plain,
~ subgroup_member(b),
inference(resolution,[],[f199,f43]) ).
fof(f43,plain,
~ subgroup_member(a),
inference(resolution,[],[f42,f13]) ).
fof(f42,plain,
( ~ subgroup_member(b)
| ~ subgroup_member(a) ),
inference(duplicate_literal_removal,[],[f41]) ).
fof(f41,plain,
( ~ subgroup_member(a)
| ~ subgroup_member(b)
| ~ subgroup_member(a) ),
inference(resolution,[],[f37,f38]) ).
fof(f38,plain,
( ~ subgroup_member(c)
| ~ subgroup_member(a) ),
inference(resolution,[],[f36,f16]) ).
fof(f16,axiom,
~ subgroup_member(d),
file('/export/starexec/sandbox2/tmp/tmp.zNprCxMMuN/Vampire---4.8_19528',prove_d_in_O2) ).
fof(f36,plain,
( subgroup_member(d)
| ~ subgroup_member(a)
| ~ subgroup_member(c) ),
inference(superposition,[],[f17,f15]) ).
fof(f15,axiom,
multiply(a,c) = d,
file('/export/starexec/sandbox2/tmp/tmp.zNprCxMMuN/Vampire---4.8_19528',a_times_c_is_d) ).
fof(f17,plain,
! [X0,X1] :
( subgroup_member(multiply(X0,X1))
| ~ subgroup_member(X0)
| ~ subgroup_member(X1) ),
inference(equality_resolution,[],[f5]) ).
fof(f5,axiom,
! [X2,X0,X1] :
( ~ subgroup_member(X1)
| ~ subgroup_member(X0)
| subgroup_member(X2)
| multiply(X0,X1) != X2 ),
file('/export/starexec/sandbox2/tmp/tmp.zNprCxMMuN/Vampire---4.8_19528',closure_of_multiply) ).
fof(f37,plain,
( subgroup_member(c)
| ~ subgroup_member(a)
| ~ subgroup_member(b) ),
inference(forward_literal_rewriting,[],[f35,f4]) ).
fof(f4,axiom,
! [X0] :
( subgroup_member(inverse(X0))
| ~ subgroup_member(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.zNprCxMMuN/Vampire---4.8_19528',closure_of_inverse) ).
fof(f35,plain,
( subgroup_member(c)
| ~ subgroup_member(b)
| ~ subgroup_member(inverse(a)) ),
inference(superposition,[],[f17,f14]) ).
fof(f14,axiom,
multiply(b,inverse(a)) = c,
file('/export/starexec/sandbox2/tmp/tmp.zNprCxMMuN/Vampire---4.8_19528',b_times_a_inverse_is_c) ).
fof(f199,plain,
( subgroup_member(a)
| ~ subgroup_member(b) ),
inference(resolution,[],[f198,f109]) ).
fof(f109,plain,
( ~ subgroup_member(c)
| ~ subgroup_member(b) ),
inference(resolution,[],[f108,f43]) ).
fof(f108,plain,
( subgroup_member(a)
| ~ subgroup_member(b)
| ~ subgroup_member(c) ),
inference(forward_literal_rewriting,[],[f107,f4]) ).
fof(f107,plain,
( subgroup_member(a)
| ~ subgroup_member(inverse(b))
| ~ subgroup_member(c) ),
inference(forward_literal_rewriting,[],[f105,f20]) ).
fof(f20,plain,
! [X0] :
( subgroup_member(X0)
| ~ subgroup_member(inverse(X0)) ),
inference(superposition,[],[f4,f8]) ).
fof(f8,axiom,
! [X0] : inverse(inverse(X0)) = X0,
file('/export/starexec/sandbox2/tmp/tmp.zNprCxMMuN/Vampire---4.8_19528',inverse_inverse) ).
fof(f105,plain,
( subgroup_member(inverse(a))
| ~ subgroup_member(inverse(b))
| ~ subgroup_member(c) ),
inference(superposition,[],[f17,f88]) ).
fof(f88,plain,
inverse(a) = multiply(inverse(b),c),
inference(superposition,[],[f62,f14]) ).
fof(f62,plain,
! [X10,X11] : multiply(inverse(X10),multiply(X10,X11)) = X11,
inference(forward_demodulation,[],[f51,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/tmp/tmp.zNprCxMMuN/Vampire---4.8_19528',left_identity) ).
fof(f51,plain,
! [X10,X11] : multiply(inverse(X10),multiply(X10,X11)) = multiply(identity,X11),
inference(superposition,[],[f3,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox2/tmp/tmp.zNprCxMMuN/Vampire---4.8_19528',left_inverse) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/tmp/tmp.zNprCxMMuN/Vampire---4.8_19528',associativity) ).
fof(f198,plain,
( subgroup_member(c)
| subgroup_member(a) ),
inference(resolution,[],[f197,f16]) ).
fof(f197,plain,
( subgroup_member(d)
| subgroup_member(c)
| subgroup_member(a) ),
inference(superposition,[],[f11,f194]) ).
fof(f194,plain,
c = element_in_O2(a,d),
inference(forward_demodulation,[],[f191,f89]) ).
fof(f89,plain,
c = multiply(inverse(a),d),
inference(superposition,[],[f62,f15]) ).
fof(f191,plain,
multiply(inverse(a),d) = element_in_O2(a,d),
inference(superposition,[],[f62,f177]) ).
fof(f177,plain,
d = multiply(a,element_in_O2(a,d)),
inference(resolution,[],[f173,f43]) ).
fof(f173,plain,
! [X8] :
( subgroup_member(X8)
| d = multiply(X8,element_in_O2(X8,d)) ),
inference(resolution,[],[f12,f16]) ).
fof(f12,axiom,
! [X0,X1] :
( subgroup_member(X1)
| subgroup_member(X0)
| multiply(X0,element_in_O2(X0,X1)) = X1 ),
file('/export/starexec/sandbox2/tmp/tmp.zNprCxMMuN/Vampire---4.8_19528',property_of_O2) ).
fof(f11,axiom,
! [X0,X1] :
( subgroup_member(element_in_O2(X0,X1))
| subgroup_member(X1)
| subgroup_member(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.zNprCxMMuN/Vampire---4.8_19528',an_element_in_O2) ).
fof(f13,axiom,
subgroup_member(b),
file('/export/starexec/sandbox2/tmp/tmp.zNprCxMMuN/Vampire---4.8_19528',b_in_O2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.13 % Problem : GRP039-7 : TPTP v8.1.2. Bugfixed v1.0.1.
% 0.09/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.11/0.33 % Computer : n032.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Mon Aug 28 20:56:46 EDT 2023
% 0.11/0.34 % CPUTime :
% 0.11/0.34 This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.11/0.34 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.zNprCxMMuN/Vampire---4.8_19528
% 0.11/0.34 % (19641)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (19642)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)
% 0.15/0.39 % (19647)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)
% 0.15/0.39 % (19643)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)
% 0.15/0.39 % (19645)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)
% 0.15/0.39 % (19646)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)
% 0.15/0.39 % (19648)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)
% 0.15/0.39 % (19644)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)
% 0.15/0.40 % (19647)First to succeed.
% 0.15/0.40 % (19647)Refutation found. Thanks to Tanya!
% 0.15/0.40 % SZS status Unsatisfiable for Vampire---4
% 0.15/0.40 % SZS output start Proof for Vampire---4
% See solution above
% 0.15/0.40 % (19647)------------------------------
% 0.15/0.40 % (19647)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.15/0.40 % (19647)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.15/0.40 % (19647)Termination reason: Refutation
% 0.15/0.40
% 0.15/0.40 % (19647)Memory used [KB]: 1023
% 0.15/0.40 % (19647)Time elapsed: 0.008 s
% 0.15/0.40 % (19647)------------------------------
% 0.15/0.40 % (19647)------------------------------
% 0.15/0.40 % (19641)Success in time 0.062 s
% 0.15/0.40 % Vampire---4.8 exiting
%------------------------------------------------------------------------------