TSTP Solution File: GRP001-2 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP001-2 : TPTP v8.1.2. Released v1.0.0.
% 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 : n003.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 01:20:14 EDT 2023
% Result : Unsatisfiable 0.20s 0.42s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 14 ( 14 unt; 0 def)
% Number of atoms : 14 ( 13 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 1 ( 1 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 11 (; 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f81,plain,
$false,
inference(subsumption_resolution,[],[f79,f8]) ).
fof(f8,axiom,
c != multiply(b,a),
file('/export/starexec/sandbox/tmp/tmp.jWHRZwqmQu/Vampire---4.8_13638',prove_b_times_a_is_c) ).
fof(f79,plain,
c = multiply(b,a),
inference(superposition,[],[f28,f74]) ).
fof(f74,plain,
a = multiply(b,c),
inference(forward_demodulation,[],[f72,f4]) ).
fof(f4,axiom,
! [X0] : multiply(X0,identity) = X0,
file('/export/starexec/sandbox/tmp/tmp.jWHRZwqmQu/Vampire---4.8_13638',right_identity) ).
fof(f72,plain,
multiply(b,c) = multiply(a,identity),
inference(superposition,[],[f28,f57]) ).
fof(f57,plain,
identity = multiply(a,multiply(b,c)),
inference(superposition,[],[f21,f6]) ).
fof(f6,axiom,
! [X0] : identity = multiply(X0,X0),
file('/export/starexec/sandbox/tmp/tmp.jWHRZwqmQu/Vampire---4.8_13638',squareness) ).
fof(f21,plain,
! [X14] : multiply(a,multiply(b,X14)) = multiply(c,X14),
inference(superposition,[],[f3,f7]) ).
fof(f7,axiom,
multiply(a,b) = c,
file('/export/starexec/sandbox/tmp/tmp.jWHRZwqmQu/Vampire---4.8_13638',a_times_b_is_c) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/tmp/tmp.jWHRZwqmQu/Vampire---4.8_13638',associativity) ).
fof(f28,plain,
! [X0,X1] : multiply(X0,multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f15,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/tmp/tmp.jWHRZwqmQu/Vampire---4.8_13638',left_identity) ).
fof(f15,plain,
! [X0,X1] : multiply(X0,multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f3,f6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP001-2 : TPTP v8.1.2. Released v1.0.0.
% 0.13/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.13/0.35 % Computer : n003.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 28 22:32:55 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.13/0.35 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.jWHRZwqmQu/Vampire---4.8_13638
% 0.13/0.35 % (13745)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.41 % (13751)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)
% 0.20/0.41 % (13747)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)
% 0.20/0.41 % (13749)lrs+10_20_av=off:bd=preordered:drc=off:fde=unused:sims=off:to=lpo:stl=62_369 on Vampire---4 for (369ds/0Mi)
% 0.20/0.41 % (13748)lrs+10_16_av=off:drc=off:nwc=1.5:sp=scramble:tgt=ground:stl=125_501 on Vampire---4 for (501ds/0Mi)
% 0.20/0.41 % (13752)lrs+10_10_av=off:drc=off:sp=frequency:tgt=ground:stl=62_102 on Vampire---4 for (102ds/0Mi)
% 0.20/0.41 % (13746)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)
% 0.20/0.42 % (13751)First to succeed.
% 0.20/0.42 % (13750)lrs+10_64_av=off:bd=off:drc=off:fde=unused:sp=frequency:tgt=full:stl=62_243 on Vampire---4 for (243ds/0Mi)
% 0.20/0.42 % (13749)Also succeeded, but the first one will report.
% 0.20/0.42 % (13752)Also succeeded, but the first one will report.
% 0.20/0.42 % (13751)Refutation found. Thanks to Tanya!
% 0.20/0.42 % SZS status Unsatisfiable for Vampire---4
% 0.20/0.42 % SZS output start Proof for Vampire---4
% See solution above
% 0.20/0.42 % (13751)------------------------------
% 0.20/0.42 % (13751)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.20/0.42 % (13751)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.20/0.42 % (13751)Termination reason: Refutation
% 0.20/0.42
% 0.20/0.42 % (13751)Memory used [KB]: 895
% 0.20/0.42 % (13751)Time elapsed: 0.005 s
% 0.20/0.42 % (13751)------------------------------
% 0.20/0.42 % (13751)------------------------------
% 0.20/0.42 % (13745)Success in time 0.063 s
% 0.20/0.42 % Vampire---4.8 exiting
%------------------------------------------------------------------------------